Answer:
Assume that [tex]g = 9.81\; {\rm m\cdot s^{-2}}[/tex]. Also assume that that the air resistance on this stone is negligible.
The total air time of this stone is approximately [tex]1.5\; {\rm s}[/tex].
The maximum height of this stone is [tex]1.1\; {\rm m}[/tex], same as the height of the slingshot.
The range of this stone is approximately [tex]23\; {\rm m}[/tex].
The final velocity of this stone is approximately [tex]21\; {\rm m \cdot s^{-1}}[/tex].
Explanation:
If the air resistance on this stone is negligible, this stone will accelerate towards the ground with a vertical acceleration [tex]a_{y}[/tex] of [tex]a_{y} = (-g) = (-9.81)\; {\rm m\cdot s^{-2}}[/tex].
At the same time, the horizontal velocity [tex]v_{x}[/tex] of this stone will stay the same during the entire flight: [tex]v_{x} = 15.2\; {\rm m\cdot s^{-1}}[/tex].
The stone was launched from a height of [tex]1.1\; {\rm m}[/tex] above the ground. Therefore, the vertical displacement [tex]x_{y}[/tex] of the stone will be [tex]x_{y} = (-1.1)\; {\rm m}[/tex] when the stone hits the ground.
The initial vertical velocity [tex]u_{y}[/tex] of this stone would be [tex]u_{y} = 0\; {\rm m\cdot s^{-1}}[/tex] since the stone was launched horizontally.
Let [tex]v_{y}[/tex] denote the final vertical velocity of this stone right before landing. Apply the SUVAT equation [tex](v_{y})^{2} - (u_{y})^{2} = 2\, a\, x[/tex] to find [tex]v_{y}\![/tex]:
[tex](v_{y})^{2} - (u_{y})^{2} = 2\, a\, x[/tex].
[tex](v_{y})^{2} = (u_{y})^{2} + 2\, a\, x[/tex].
[tex]\begin{aligned}v_{y} &= -\sqrt{(u_{y})^{2} + 2\, a\, x} \\ &= -\sqrt{0^{2} + 2\, (-9.81) \, (-1.1)}\; {\rm m\cdot s^{-1}} \\ &\approx -14.6908 \end{aligned}[/tex].
(Final vertical velocity [tex]v_{y}[/tex] is negative since the stone is travelling downwards toward the ground.)
Let [tex]t[/tex] denote the duration of this flight. Apply the SUVAT equation [tex]t = (v_{y} - u_{y}) / (a)[/tex] to find [tex]t\![/tex]:
[tex]\begin{aligned} t &= \frac{v_{y} - u_{y}}{a} \\ &\approx \frac{(-14.6908) - 0}{(-9.81)}\; {\rm s} \\ &\approx 1.49753\; {\rm s} \end{aligned}[/tex].
In other words, this stone was in the air for approximately [tex]1.5\; {\rm s}[/tex].
Also because the stone was launched horizontally, the vertical velocity of this stone started at [tex]u_{y} = 0\; {\rm m\cdot s^{-1}}[/tex] and became negative (toward the ground) immediately after.
Hence, this stone would not have travelled upward during the entire flight. The height of this stone would be maximized immediately after the stone was launched: [tex]1.1\; {\rm m}[/tex].
Multiple the horizontal velocity [tex]v_{x} = 15.2\; {\rm m\cdot s^{-1}}[/tex] of this stone by the duration of the flight [tex]t \approx 1.49753\; {\rm s}[/tex] to find the range (horizontal displacement) of this stone:
[tex]\begin{aligned} (\text{range}) &= v_{x}\, t \\ &\approx (15.2\; {\rm m\cdot s^{-1}})\, (1.49753\; {\rm s}) \\ &\approx 23\; {\rm m} \end{aligned}[/tex].
Right before landing, the stone would be travelling with a vertical velocity of [tex]v_{y} \approx (-14.6908)\; {\rm m\cdot s^{-1}}[/tex] and a horizontal velocity of [tex]v_{x} = 15.2\; {\rm m\cdot s^{-1}}[/tex]. Apply the Pythagorean Theorem to find the overall velocity of this stone at that moment:
[tex]\begin{aligned} v &= \sqrt{{(v_{x})}^{2}\, {(v_{y})^{2}} \\ &\approx \sqrt{(15.2\; {\rm m\cdot s^{-1})^{2} + (-14.6908)^{2}}\; {\rm m\cdot s^{-1}} \\ &\approx 21\; {\rm m\cdot s^{-1}} \end{aligned}[/tex].
modulus of oil is 5 * 10 ^ 9 * Pa and its compressibility is 2 * 10 ^ - 5 * at * m ^ 1
Exercise 9: The brass plate of an outdoor sculpture experiences shear forces in an earthquake. The plate is 0.8m ^ 2 and 0.5 cm thick. What is the force exerted on each of its edges if the resulting displacement x is 0.16 mm? (Shear modulus = 3.5 * 10 ^ 10 * Pa ) .
Its edges are subjected to a force of 2.8 x 1010 N at the specified shear stress and area.
The force known as shear stress is the tendency for a material to deform by slippage along a plane or planes parallel to the applied stress. Shear stress or pressures, as their name suggests, tend to "shear" objects or produce material deformation.
The formula for shear stress is given as:
F = Aτ
where;
F is the force applied, A is the area of the surface, and τ is the shear stress
We have,
Shear modulus, τ = 3.5 × 10¹⁰ Pa
The area of the plate is A = 0.8 m²
Then,
F = ( 0.8 m² ) × (3.5 × 10¹⁰ Pa)
F = 2.8 x 10¹⁰ N
As a result, as the shear stress grows, so does the force applied to each of its edges that causes the specified displacement.
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A 0.12-kg apple falls off a tree branch that is 2.3 m above the thick grass. The apple sinks 0.067 m into the grass while stopping. Determine the average contact force that the grass alone exerts on the apple while stopping it. Ignore air resistance.
If a 0.12-kg apple falls off a tree branch that is 2.3 m above the thick grass. The apple sinks 0.067 m into the grass while stopping, then the average contact force that grass would exert on the apple would be 1.177 Newtons.
What is Newton's second law?Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
As given in the problem if a 0.12-kg apple falls off a tree branch that is 2.3 m above the thick grass. The apple sinks 0.067 m into the grass while stopping,
The contact force on the apple = 0.12 × 9.81
= 1.177 Newtons
Thus, the average contact force that grass would exert on the apple would be 1.177 Newtons.
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What is the weight of a 59 kg football player?
Answer:
130.073 pounds
Explanation:
use a translation to find what kg to pounds is
Answer:
578.59235
Explanation:
59*9.8
9.8 is the force of gravity acting on the earth, therefore multiplying 59 and 9.8, you get 578.59N or, if you're rounding it up, 578.6N
Two cars, each having a mass of 1,000 kg are being tested at the Department of Highway Safety facility. Car A is moving at 30 m/s to the north. Car B is moving at 15 m/s to the south. When they collide, which of the following is true?
a- Car A applies a greater force on car B than car B applies on car A.
b- Car A applies a force on car B equal to the force car B applies on car A.
c- Car B applies a greater force on car A than car A applies on car B.
d-Car A and car B do not have the same velocity; you cannot compare the forces.
Two cars, each having a mass of 1,000 kg are being tested at the Department of Highway Safety facility. Car A is moving at 30 m/s to the north. Car B is moving at 15 m/s to the south. When they collide a- Car A applies a greater force on car B than car B applies on car A.
Momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle.
When both the cars will collide , one with greater momentum will applies greater force .
As momentum is calculated as mass multiplied by velocity , since both the car have same mass then the car with a greater velocity will exert more force on the other car .
since , car A has a velocity of 30 m/s and car B is moving with a velocity of 15 m/s , then car A will have greater momentum and will exert a greater force on car B.
correct option will be
a- Car A applies a greater force on car B than car B applies on car A.
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the coefficient of kinetic friction between the ramp and the lower box is 0.441, and the coefficient of static friction between the two boxes is 0.834. what force t do you need to exert to accomplish this?
Newton's second law states that the product of the box's mass and acceleration determines the net force acting on the object. T, which equals f= 23.52 N, must be applied in order to move up the ramp.
The behaviour of objects for which all external forces are balanced is predicted by Newton's first law of motion. According to the first law, sometimes known as the law of inertia, an object's acceleration will be zero metres per second per second if the forces acting on it are evenly distributed. When everything is in balance, or equilibrium, objects cannot accelerate. According to Newton, an item will only accelerate if another force is operating on it that is net or imbalanced. If an imbalanced force is present, the object will accelerate and change its direction and speed, or both. The behaviour of objects for whom all external forces are not balanced is covered by Newton's second law of motion.
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If two balls the same size and different masses go down a ramp, which ball would have more speed? (The greater mass or the less mass?)
If two balls the same size and different masses go down a ramp, they will move at the same speed.
The phrase "rolling down a frictionless slope" is illogical. The translational and rotational motions of the balls are completely uncoupled if the slope has no friction, and the balls just slide down the slope.
I believe the situation when there is static friction, allowing the balls to roll without slipping, is what you are most interested in.
In either case, the velocity as a function of distance along the ramp (v(s)) for uniform spheres ends up being independent of both the mass and the radius. Additionally, the duration of the descent is simply the integral of ds/v(s), which is also independent of the mass and radius.
As a result, they move at the same speed regardless of position and arrive at the bottom at the same moment.
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A wave crest passes a particular point every [tex]\frac{1}{10}[/tex] th of a second. Calculate the frequency of the wave.
Answer:
Explanation:
Given:
T = 1/10 s - Wave oscillation period
_____________________________
f - ?
The frequency of the wave:
f = 1 / T = 1 / (1/10) = 10 Hz
A hollow metal sphere is charged to a potential of 40 V. The potential at its center is ________.Group of answer choices0 V80 VDepends on the radius of the sphere-49 V40 V-80 V
40 V
Explanation
Electric potential at any point inside a hollow metallic sphere is constant. Therefore, if potential at surface is 40 V, potential at centre will also be 40 V.
40V
also In a hollow sphere, with the charge on the surface of spheres, there is no charge enclosed within the sphere, since all the charges are in surface. Hence there is no electric field within the sphere.
I hope this helps you
3. A penguin waddles 8 m uphill before sliding back down to its friends in 2 seconds. If the penguin ends where it started, what is its velocity?
The velocity of penguin as he ends where he started was 0 m/s.
What is displacement?
Displacement is the length of straight line joining the initial and final position of the body.
Given is a penguin who waddled 8 m uphill before sliding back down to its friends in 2 seconds.
We know that the velocity is the rate of change of displacement with respect to time. Mathematically -
v = dx/dt
dx = v dt
∫dx = ∫v dt
Δx = vΔt
v = Δx/Δt
Now, the displacement of the penguin will be = Δx = 8 - 8 = 0
Then, its velocity will be -
v = 0/Δt = 0
Therefore, the velocity of penguin as he ends where he started was 0 m/s.
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if a digital thermometer measures between - 100 and 300 degrees, and the digital readout is 0110 1100 (8 bit), what is the analog value being measured?
if the digital display on a thermometer reads 0110 1100 and the temperature ranges from -100 to 300 degrees (8 bit). the analogue quantity being measured is 84.71.
A thermometer is a device used to gauge temperature. It may gauge the temperature of a solid substance, like food, a liquid substance, like water, or a gas, like air. Celsius, Fahrenheit, and kelvin are the three most widely used units for measuring temperature. A component of the metric system is the Celsius scale. The metric system of measuring also contains units for length and mass, such as kilogrammes and kilometres. The official unit of measurement for practically all nations in the world is the metric system, which includes Celsius. The Celsius scale is commonly used in science to measure temperature. Water has a freezing point of 0 degrees Celsius and a boiling point of 100 degrees Celsius.
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A cat lies on the floor. Which of the following statements are correct?
a,Cannot be known
b,Support Force < Weight
c,Support Force > Weight
d,Support Force = Weight
help pls asab
Answer:
Choice d: support force (normal force) on the cat and the weight of the cat are equal in magnitude.
Explanation:
The cat in this question is stationary. As a result, the acceleration of this cat will be zero. By Newton's Second Law of Motion, the net force on this cat will also be zero.
If the floor is level, there will be two forces acting on this cat:
The weight of the cat, which points downwards.The support force (normal force) of the floor on the cat, which points upwards.For the net force to be zero, these two forces need to balance each other. For that, they need to have the same magnitude and point in opposite directions. Therefore, the magnitude of the support force (normal force) will be equal to the magnitude of the weight of this cat.
9. NL5Q9
A rightward force of 14.0-N is exerted on a block to accelerate it across a friction-free surface. It accelerates at 3.45
m/s/s. If a second block of identical mass is dropped onto the first block, then what is the acceleration when the same
14.0-N force is applied to it. (Assume that there is no sliding between the first and second block.)
A force is a power that can exchange the movement of an object. A pressure can reason an object with mass to exchange its pace, i.e., to boost up. force can also be described intuitively as a push or a pull. A force has both value and path, making it a vector amount.
Acceleration is the price of change of the rate of an item with admire to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the internet pressure acting on that item
Force = mass × acceleration
since friction is zero
mass = Force / acceleration
= 14 / 3.45
= 4.0579 kg
On adding a second block of the same mass
total mass = 4.0579 + 4.0579 kg
= 8.2 kg
new,
acceleration = force/ mass
= 14/8.2
= 1.7073 m/s²
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\tusain bolt's record time for running the 100 meter dash is 9.58 seconds. if bolt had a mass of 94 kg at the time of his record-breaking run, what was his average momentum along the straight-line path?
his average momentum along the straight-line path id 981.21kgm/s
What is momentum ?
momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.
According to Newton's second law, if a particle is subjected to a constant force for a specific amount of time, the result of the force and time (referred to as the impulse) is equal to the change in momentum. On the other hand, a particle's momentum represents the length of time needed for a consistent force to bring it to rest.
Average velocity,
v = distance / time
= 100 m / 9.58 s
= 10.44 m/s
Now use:
momentum = m*v
= 94 Kg * 10.44 m/s
= 981.21 Kg m/s
Answer: 981.21 Kg m/s
his average momentum along the straight-line path id 981.21kgm/s
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If you slide a box across the floor, it produces friction. The friction generates thermal energy. Which object/s would be warmer from the heat generated?
The temperature of the box and floor eventually rise as a result of the thermal energy flowing as heat inside these two things.
This is further explained below.
What is thermal energy?Generally, The energy present in a system that determines its temperature is referred to as thermal energy.
Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted across various systems and how work is performed in the process (see the first law of thermodynamics).
In conclusion, This thermal energy is transferred in the form of heat throughout the box as well as the floor, which eventually results in an increase in temperature for both of these locations.
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which one of the following statements concerning resistors in ""series"" is true? question 8 options: the current through each resistor is the same. the voltage across each resistor is the same. the power dissipated by each resistor is the same. the total current through the resistors is the sum of the current through each resistor.
Answer:
If the resistors are in series then each resistor
carries the "same current" - the first option
URGENT!!
A runner completes a 10k race (10 km) at an average speed of 13. km/hr. How long does it take for her to complete the race?
Answer: 46 min
Explanation:
if the temperature of star b is twice the temperature of star a, what can we say about the energy emitted by the surface of star b compared to the energy emitted by star a?
The blackbody radiation energy emitted by star a is 1/16 factor of star b energy.
We need to know about black body radiation to solve this problem. The energy radiated by a black body object is proportional to the area and the fourth power of temperature. It can be determined as
P = A . e . σ . T⁴
where P is power, A is surface area, e is emissivity, σ is Stefan Boltzmann's constant ( 5.67 x 10¯⁸ W/m²K⁴) and T is temperature.
From the question above, we know that
Tb = 2 Ta
By using the black body radiation formula, the ratio of temperature is
Ta⁴ / Tb⁴ = Pa / Pb
Ta⁴ / Tb⁴ = Ea / Eb
Hence,
Ta⁴ / Tb⁴ = Ea / Eb
Ta⁴ / (2Ta)⁴ = Ea / Eb
Ta⁴ / 16Ta⁴ = Ea / Eb
1/16 . Eb = Ea
Thus, the energy of star a will have 1/16 factor of star b energy
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What happens to the brightness of lightbulbs if you add them to each circuit?
Adding bulbs to a series will make them dimmer because current is reduced, adding bulbs to a parallel will make them brighter because the current through each individual bulb goes up.
Adding bulbs to a series will make them brighter because each bulb will take more current, adding bulbs to a parallel will not affect the brightness because the current through each individual bulb remains the same.
Adding bulbs to a series will make them dimmer because current is reduced, adding bulbs to a parallel will not affect the brightness because the current through each individual bulb remains the same.
Adding bulbs to a series will make them brighter because current is increased, adding bulbs to a parallel will make them dimmer because the current has to be split up between them.
Adding bulbs into a series will make them dimmer because the current is decreased, adding bulbs to a parallel will not affect the brightness because the current through each individual bulb remains the same.
Therefore, Option (C) is correct.
What are series circuits and parallel circuits?A series circuit is one where the same current flows through all the components in the circuit. The current has only one path in series circuits. A parallel circuit is one where the electric current has multiple paths to flow through. The components of the parallel circuits will have the same voltage across all ends.
When we connect bulbs in the circuit where all are connected in series then the net resistance of the circuit will increase and the voltage across each bulb will decrease.
Since voltage decreases across each bulb then the current across each bulb will decrease and the bulb gets dimmer because the current is reduced.
When we connect bulbs in parallel the voltage and current across each bulb will remain the same and then adding bulbs to a parallel will not affect the brightness.
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use Newtons's 1st law explain how the seat belt help keep you safe in a collosion
Tell us what you know about the nursing profession. How are you an underrepresented minority in nursing or an economically disadvantaged student?
The nursing profession offers specialized care from infancy to death. Social, psychological, and economic issues are some of the challenges faced by minority nurses.
The nursing profession is how significant?It is the nurse's responsibility to maintain continuity of care and develop a close closeness with the patient in order to foster trust and foster a climate that is safe for recovery. Numerous worldwide nursing codes of practice presently endorse patient advocacy.
Why is nursing necessary and what is it?Health promotion is promoted by nurses, who also teach patients and the general public how to avoid disease and damage, care for patients and help with treatment, take part in rehabilitation, and offer support. No other medical specialist has a job with such a wide-ranging and complex scope.
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A car traveling at a uniform speed of 100km per hour spends 15 minutes moving from point A to B along its route . Find the distance between A and B
distance between A and B25002 m
V = 100 km/h
V = (100 x 1000)/3600 = 27.78 m/s when converted to a unit of speed.
t = 15 minutes = 15 x 60 = 900 seconds
displacement =?
Displacement times time equals velocity
Velocity times time equals displacement
displacement = 27.78 x 900
Displacement = 25002 meters
The distance between A and B is 25002 meters since displacement and distance are measured in the same unit.
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Jupiter has a gravitational field of 23.6 N/kg. Would you weigh more or less on Jupiter than you do on Earth?
Earth's gravitational field = 10N/kg
Jupiter's gravitational field = 23.6 N/kg
Jupiter's gravitational field > Earth's gravitational field
Therefore, we will weigh more on Jupiter.
The gravitational force exerted on a mass—typically located close to a planet's surface—is what gives something its weight. A different planet with a weaker gravitational field can cause an object's weight to varying. The gravitational field strength is expressed in Newtons per kilogram and increases with the size of the subject.What is Gravitational Field?In physics, a gravitational field is a model used to explain the effects that a large body stretches into the space surrounding it, creating a force on a smaller, more massive body. As a result, the newtons per kilogram (N/kg) gravitational field, which is utilized to explain gravitational phenomena, is used. In meters per second square (m/s2), it is equivalently expressed.The concept of gravity originally described a force between point masses. Since the 19th century, explanations of gravity have typically been taught in terms of a field model, rather than a point attraction. Pierre-Simon Laplace attempted to characterize gravity as some sort of radiation field or fluid, following Isaac Newton. Instead of two particles being attracted to one another in a field model, the particles deform spacetime due to their mass, and this distortion is what is sensed and quantified as a "force." According to such a hypothesis, gravity either doesn't exist or is a made-up force that causes stuff to move in specific ways in reaction to the curvature of spacetime.To learn more about Gravitational Field, refer to:
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100ptsA tiger leaps horizontally from a 5.5 m -high rock with a speed of 3.6 m/s .
How far from the base of the rock will she land?
A tiger leaps horizontally from a 5.5 m rock with a speed of 3.6 m/s. So the tiger will land 2.772 m away from the base.
What is acceleration?In mechanics, acceleration refers to how quickly an object's velocity alters in relation to time. The vectorized magnitude of accelerations. An object's acceleration is determined by the direction of the net force pushing against it.
Acceleration has a direction and a magnitude, making it a vector quantity. A vector quantity is a velocity as well. Acceleration is defined as the change in the vector of velocity over a period of time divided by the duration of the change.
According to the question, the given values are,
For y component :
Acceleration, a = -9.8 m/s²
Velocity, v₀= 0 m/s
Δy = -5.5 m
For x component :
a = 0 m/s²
v₀ = 3.6 m/s
Δy = v₀t + 1/2 at²
- 5.5 m = 0 + 1/2(-9.8)t²
t = 0.77 seconds
Δx = v₀t + 1/2 at²
Δx = (3.6)(0.77) + 0
Δx = 2.772 meters.
Hence, the tiger will land 2.772 m far from the base of the rock.
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if potential difference across a lightbulb is 12 V, what amount of charge is required to transfer 60 J of energy to the lightbulb
Answer:
Explanation:
Given:
U =12 V
E = 60 J
________
q - ?
E = U·I·t
q = I·t
E = U·q
q = E / U = 60 / 12 = 5 С
a rugby player passes the ball 8.25 m across the field, where it is caught at the same height as it left his hand. at what angle was the ball thrown if its initial speed was 12.0 m/s, assuming that the smaller of the two possible angles was used?
Of the two possible angles, the smaller angle is θ = 17.075°.
What is the formula for range?The distance between a projectile's launch point and its point of impact with the ground, assuming it is fired from the ground, is referred to as the range.
R = [u²sin (2θ)]/g
Given values;
Range of pass; R = 8.25 m
Speed; u = 12 m/s
R = [u²sin (2θ)]/g
Thus;
8.25 = 12² × (sin(2θ))/9.8
(sin(2θ)) = ( 8.25 × 9.8)/12²
(sin(2θ)) = 0.5614
2θ = sin⁻¹(0.5614)
2θ = 34.15
θ =34.15/2
θ = 17.075°
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derive a formula for acceleration of the system in this lab (under the assumption that the pulley is massless and frictionless, so the two tension forces are equal). how could one use this formula (similar to the atwoods machine) to get a measurement of g?
What is acceleration ?
Acceleration is the rate at which the speed and direction of a moving object change over time. Something is said to be accelerating when it starts to move faster or slower
Let acceleration be a
For the hanging m, mg-T = ma
For the glider(mass M),T=Ma
Eliminating T,we get
mg-Ma=ma
a=mg/(m+M)
Using energy concept we will get the same result,
When m is lowered by h, M will move h distance in forward direction.
As there is no friction, both m and M will attain same speed (v).
So, mgh = 1/2(m+M)v2 [Word done by T will cancel out, as for m it is -hT while for M it is hT(see the direction of T and displacement in both cases)]
v2 =2mgh/(m+M)
Use formula v2 - u2 = 2as
2mgh/(m+M) - 0 =2ah
a = mg/(m+M)
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the student measured the volume of each fruit three times and then calculated a mean value the three measurements for a grape were 2.1cm3 2.1cm3 2.4cm3
The mean value of the measurements is 2.2 cm³.
What does measuring mean?The attributes of an object or an event are measured and quantified so that they can be compared to other things or events.
Therefore, measurement is the process of determining the size or smallness of a physical quantity in comparison to a primary reference quantity of a similar kind. The range and applications of measurement depend on the situation and industry.
Measurements do not apply to nominal attributes of things or occurrences in the natural sciences and engineering, as stated in the International Vocabulary of Metrology published by the International Bureau of Weights and Measures. Measurement is essential to trade, science, technology, and quantitative research in many fields.
Mean of the measurements = (2.1+2.1+2.4)/3 = 6.6/3 = 2.2 cm³.
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shows an overhead view of three particles on which external forces act. the magnitudes and directions of the forces on two of the particles are indicated. what are the magnitude and direction of the force acting on the third particle if the center of mass of the three-particle system is (a) sta
The net force's work is described as d=(3.82)(4.00)=15.3J for W=F net, where we made use of the fact that the canister began at rest and traveled horizontally while being affected by horizontal forces; the resulting effect is represented by the symbol F net.
Since all of these cases are in closed systems, the result is in a new preserved quantity.
Linear momentum and this new quantity, angular momentum, are comparable. In this chapter, we first define angular momentum and then examine it from a number of angles.
But first, we look into a single particle's angular momentum. This enables us to compute the force angular momentum of a rigid cylindrically symmetric body and a system of particles.
We used the fact that the canister started at rest and moved horizontally under the influence of horizontal forces; the ensuing effect is denoted by the symbol F (force) net.
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A 5 kg block is pulled with 3.5 N of force to the right. The block experiences 0.5 N of friction. What is the acceleration of the block?
A 5 kg block is pulled with 3.5 N of force to the right. The block experiences 0.5 N of friction. The acceleration of the block will be 0.6 m/s^2.
According to Newton's second law of motion, force is calculated as mass times acceleration. Acceleration is the rate of change of velocity.
Here, the block is moved to right side by applying 3.5 N force. The block experienced a frictional force of 0.5 N. Then the total force is,
F_(net) = 3.5 N - 0.5 N = 3 N
The mass (m) of the block is 5 kg. The acceleration of the block will be
Acceleration (a) = Force/Mass
a = F_(net)/m
a = 3/5 = 0.6 m/s^2
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A ball is equipped with a speedometer and launched straight upward. The speedometer reading three seconds after launch is shown at the right; the ball is moving upward. At what approximate times would the ball be moving downward and display the following speedometer readings?
The time shown by the speedometer corresponding to speed of 10 m/s is 1 s.
The time shown by the speedometer corresponding to speed of 20 m/s is 1 s.
The time shown by the speedometer corresponding to speed of 30 m/s is 1 s.
1. As shown by the speedometer on the right.
The speed of 10 m/s indicated by the speedometer to the right may be used to calculate how long the ball has been falling from the maximum altitude it reached.
Equation for free fall: Vf = Vo - gt
Vo=0, Vf=gt, and t=Vf/g
I suggest using an approximation of g for this problem: g = 10 m/s2 (I'll explain why in a moment).
1 second is equal to [10 m/s]/[10 m/s2].
The time is now dropping. From it has been four seconds since launch, the upward time was three seconds. You may use this to determine the launching speed.
2. The moment the speedometer registers 20 m/s
Determine the launching speed first:
Vo - gt = Vf
Given that the ball took 3 seconds to ascend and that its speed was zero at its highest point, you may calculate:
0 = Vo - gt
Vo=gt=10 m/s2 3 s = 30 m/s
Now, while the ball is moving upward and the speedometer reads 20 m/s, use the beginning velocity to compute.
t = [30 m/s - 20 m/s] / [10 m/s2] = 1 s 20 m/s = 30 m/s - 10 m/s2
Therefore, t = 1 s is the initial solution.
3. The moment the speedometer registers 30 m/s.
The projected speed for the launch is also 30 m/s.
This reading therefore reflects the precise moment the ball was released.
Time is therefore 0 and the launch moment remains the same.
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