When you drop a 0.38 kg apple, Earth exerts a force on it that accelerates it at 9.8 m/s2 to- ward the earth’s surface. According to New-

As we know

Where,

P= electric power= 2.50 W

V= potential difference= ?

I= current = 4.00A

Using above formula we get,

Final answer is :- 0.625 V

Newton's second law states that the force is equal to the rate of change of momentum; for a constant mass, force equals mass times acceleration. In mathematical terms this means that:

where m is the mass and a is the acceleration.

In this case the mass is 2.10 kg and the acceleration is 5.20 m/s²; plugging these values in Newton's second law we have that:

Therefore, the force needed is 10.92 N

Answer:

Your hypothesis was not supported by the data collected

Explanation:

On question 2 you said that the point with the greatest kinetic energy would be point 5. However, when you analyze the data, the point with the greatest velocity was point 2 which means that this is the point with the greatest kinetic energy.

Therefore, your hypothesis was not supported by the data collected because based on the picture, it is hard to say where is the lowest point of the roller coaster.

The mass of the an object caused to accelerate at 0.2m/s² by a 43.1 Newton force is 215.5 kilograms.

A force is simply referred to as either a push or pull of an object resulting from the object's interaction with another object.

Force, according to  Newton's Second Law is expressed as;

F = m × a

Where a is acceleration and m is the mass.

Given the data in the question;

Plug the given values into the formula above and solve for m.

F = m × a

43.1kgm/s² = m × 0.2m/s²

m = 43.1kgm/s² / 0.2m/s²

Mass m = 215.5kg

Therefore, the mass of the object is 215.5 kilograms.

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Given that there is a cart of mass, m = 0.12 kg moving with initial speed of, u1 = 0.45 m/s and it collides with another cart of mass, m = 0.12 kg with initial speed, u2 = 0 m/s

We have to find the initial and final kinetic energy.

(a) Initial kinetic energy,

According to the conservation of linear momentum,

Here, v is the final speed.

Here, the final speed is 0.225 m/s.

(b) The formula to find kinetic energy is

Substituting the values, we get

Hence the kinetic energy is 6.075 x 10^(-3) J.

53.9 angle, in degrees South of East and 27.20 m is a line connecting your starting point to your final position.

The distance in decimeters between the starting point and the ending position is in a straight line. The distance between an object's original position and its ultimate position is known as displacement.

You walk 16 m straight east and then 22 m straight south. This forms a right angled triangle with a horizontal distance of 16 m, a vertical distance of 22 m and the hypotenuse is the distance between the ending and starting point. Let x represent the distance between the ending and starting point. Using Pythagoras theorem:

x² = 16² + 22²

x² = 256 + 484

x² = 740

Taking square root of both sides:

√x² = √740

x = √740

x = 27.20 m = distance between the ending and starting point.

Now use trigonometry:

sinθ=B/R

sinθ=22/27.20

sinθ= 0.808

θ = 53.9 degree. This is your angle.

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Given,

The ant crawls 72 inches every 6 minutes.

And the table of the time and distance covered by the ant.

From the table, the values of distance are,

d₁=6 inches

d₂=12 inches

d₃=18 inches

And the values of corresponding time are,

t₁=0.5 min

t₂=1 min

t₃=1.5 min

The speed of an object is given by the ratio of the distance covered by the object to the time it takes the object to cover the distance.

Thus the speed of the ant is given by,

On substituting the known values,

Thus the speed of the ant is 12 inches/min

The elasticity and Poisson's ratio for this metal is 0.232.

What is ratio?

The realation between two numbers which shows how much bigger one quantity is than another.

Sol-

As per the given question

P=190KN

d=16 mm

Lo=50mm

X=50.1349-50=0.1349mm

Y=15.99-16=-0.01mm

The formula-

E=ó/€

Ó=P/A

A=r/4 d^2 =π/4(16)^2=201.062 mm

ó={190(1000)}201.062=944.982 Mpa

E=944.982/0.002698=350.253 GPa

€y=-0.000625

v=0.232(answer)

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A football player kicks a football off a tee with a speed of 16 m/s at an angle of 63°

The horizontal and vertical speed of the ball is given by

Where v = 16 m/s and θ = 63°

How far is the ball from the football player when it lands?

The range of the ball is given by

Where t is the time the ball remains in the air.

The time (t) can be found as

y = 0 when the ball is in the air.

The acceleration is due to gravity (-9.8 m/s²)

Finally, the range is

Therefore, the ball will land 21.13 meters far from the football player.

How much farther would the ball go if he kicked it with the same speed, but at a 45° angle?

We need to repeat the above calculations

The horizontal and vertical speed of the ball is given by

The time (t) is given by

Finally, the range is

Therefore, the ball will land 26.13 meters far from the football player.

Which ball will land first: the ball kicked at 16 m/s and at a 63° angle, or one kicked at 9 m/s and at a 45° angle?

The ball kicked at 16 m/s and at a 63° angle takes 2.91 s to land.

The ball kicked at 9 m/s and at a 45° angle will take

So, the ball kicked at 9 m/s and at a 45° angle takes 1.30 s to land.

Therefore, the ball kicked at 9 m/s and at a 45° angle will land first.

We know that in a RC circuit the voltage in the capacitor when is charging is given by:

when this is happening the voltage in the resistor is given by:

In both equations V0 denotes the voltage given by the source, R is the resistance of the resistor and C is the capacitance of the capacitor.

We notice that in both expressions the product RC appear, this product is what we call the time constant of the capacitor; and it is important since it determines the time intervals in which the voltage, charges and currents chage in a RC circuit. This means that while the capacitor is charging or discharging the variables mentioned will always have the time constant in their expressions.

A 12 N force acts at a 25-degree angle, while an 8 N force acts at a 65-degree angle. The magnitude and direction (including angle) of the resultant force are 21.43.

Consider the formula for a force, F=M×Cos∝

As M is a Mass of an object and, ∝ Is the angle at which force is acting on an object.

[tex]F_{1}[/tex]=M × Cos ∝

M=12N, and Cos∝= Cos25 = 0.906

[tex]F_{1}[/tex] = 12× 0.906

∴ [tex]F_{1}[/tex]= 10.87N

For [tex]F_{2}[/tex] = 25×Cos65

= 10.56N

According to Superposition resulting force is the Sum of total forces.

[tex]F_{RESULTANT} = F_{1} + F_{2}[/tex]

= 10.87+ 10.56

=21.43N

∴The resultant force is 21.43.N

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Answer:

in optical storage, constant angular velocity (CAV) is a qualifier for the rated speed of any disc containing information, and may also be applied to the writing speed of recordable discs. A drive or disc operating in CAV mode maintains a constant angular velocity, contrasted with a constant linear velocity (CLV)

The speed of the box when it has fallen 2.50 m is 4.22 m/s.

The speed of the box when it has fallen through the given height is calculated as follows;

Apply the principle of conservation of energy to determine the speed of the box.

ΔK.E = ΔP.E

K.Ef - K.Ei = mg(hf - hi)

K.Ef - 0 = mg(hf - 0)

K.Ef = mghf

where;

¹/₂mv² + ¹/₂I_pω² +  ¹/₂I_cω²= mghf

¹/₂mv² + ¹/₂(I_p + I_c)ω² = mghf

where;

I_p = ¹/₂MR²

where;

I_p =  ¹/₂(2)(0.2)² = 0.04 kgm²

I_c = MR²

I_c = (5)(0.4)²

I_c = 0.8 kgm²

¹/₂mv² + ¹/₂(I_p + I_c)(v/r)² = mghf

¹/₂mv² + ¹/₂r²(I_p + I_c)v² = mghf

¹/₂v²[m + 1/r²(I_p + I_c)] = mghf

v²[m + 1/r²(I_p + I_c)] = 2mghf

v² [3 + 1/0.4²(0.04 + 0.8)] = 2(3)(9.8)(2.5)

v² [3 + 1/0.4²(0.04 + 0.8)] = 2(3)(9.8)(2.5)

8.25v² = 147

v² = 147/8.25

v² = 17.8

v = √17.8

v = 4.22 m/s

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ANSWER:

20.17 meters

STEP-BY-STEP EXPLANATION:

Given:

Pressure = Po = 1.013x10^5 Pa

Pressure at depth = P = 3Po

Density of sea water = 1025 kg/m^3

We can calculate the depth as follows:

We replacing and calculate the depth:

Therefore, the depth is equal to 20.17 meters

Answer:Question 1

Given q1=2µC                                  

          q2=2µC

           q= 1.2×10^-18C at origin

Net force exerted by two charges on q

F_1= force on q due to q1

F_2= force on q due to q2

F_net=   F_(1-) F_2        

      = (Kqq_1)/r^2  - (kqq_2)/r^2                                  Then q_1=q_2=〖2×10〗^(-6)

F_net=0N

b) The electric field at charge q

E_net= E_1- E_2

      = (kq_1)/r^2  - (kq_2)/r^2

Then q_1=q_2

 E)_net= 0 N/C  

c) The electric potential at origin due to two charge

V_net= V_(1 )- V_2

      =  (kq_1)/r - (kq_2)/r  

Then q1= q2

V_net= 0 V

Explanation:

ANSWER

17.5 %

EXPLANATION

We have to find the percent change, given that the initial price was $40 and the final price was $33.

The coupon was for 17.5% off

Given data

*The given distance from the base of the ledge is R = 2.25 m

*The given speed is v = 3.5 m/s

The diagram is given below

(a)

Let (h) be the height of the edge

The formula for the distance from the base of the ledge is given as

Substitute the known values in the above expression as

Hence, the height of the ledge is h = 2.025 m

(b)

The formula for the time taken by the boulder to fall to the bottom of the cliff is given as

Substitute the known values in the above expression as

Hence, the time taken by the boulder to fall to the bottom of the cliff is t = 0.642 s

The special and general theories of relativity and Albert Einstein's audacious theory that light is a particle are his most famous works as a physicist and Nobel winner. The most well-known scientist of the 20th century is perhaps him.

In March 1879, he was born in Ulm, Württemberg. He had a great interest in nature and the capacity to comprehend challenging mathematical ideas even as a young man in Munich. He had an unremarkable high school experience, doing exceptionally well in arithmetic but completely failing the classics, which were then thought to be crucial for anybody planning to attend college. He detested school's dreary regimentation and uncreative atmosphere.

The second study established a lot of information regarding the nature of molecules and explained Brownian motion, which is the random jostling of molecules floating in a fluid. 16 years later, this study helped him win the physics Nobel Prize.

However, his third work, "On the Electrodynamics of Moving Bodies," was left out of the award's wording. The third article was the one that would have the biggest impact on contemporary physics. It included Einstein's Special Theory of Relativity, which greatly simplified how we think about how radiation, like light, interacts with matter. Speaking about one body moving and another being motionless has no real significance, according to Einstein. Only in connection to one other can bodies be conceived of as moving;

This specifically implies that, regardless of the frame of reference, electromagnetic radiation's (such as light's) speed remains constant. Even well-known scientists struggled to comprehend this theory because of Einstein's insightful and audacious viewpoint. But over time, when the predictions made by his theory were repeatedly verified, the Special Theory of Relativity finally transformed how scientists thought about matter, space, time, and everything that interacts with them.

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2.79 eV

Given

The wavelength, λ = 445 nm

The planck's constant, h = 6.626 x 10^-34 m² kg/s

The speed of light, c = 3 x 10^8 m/s

The energy of the photon is calculated as:

But, 1 eV = 1.6 x 10^-19J

Given,

The charge generated, q=0.0012 C

The energy of the Van der Graaf generator, E=1093 J

The time it takes for the generator to produce the given amount of charge, t=.005 s

The current is given by the time rate of the flow of charges. That is,

The voltage is calculated using the formula,

From Ohm's law, the voltage is given by,

On substituting equation (i) and (ii) in equation (iii),

On substituting the known values,

Thus the resistance of the air gap is 3.8×10⁶ Ω

Diffraction is a phenomenon that occurs when a wave hits an object or it passes through a small gap.

The propagation of the wave will have a circular pattern after the diffraction effect:

Therefore the correct option is D.

The value of G is  FR²/M₁M₂. and the dimension of G is  [M⁻¹L³T⁻²]..

The provided formula is of gravitational force F between two objects,

F = GM₁M₂/R²

Where M₁ is the mass of first object and M₂ is the mas of the other object while R is the distance between there centers and G is the universal gravitation constant.

To find the dimension of G, making G the subject of formula,

G = FR²/M₁M₂.

As we know, unit of mass is Kilogram (Kg), unit of force is Newton (N) and unit of distance is Meter (M).

Putting all the values, Units in the place of quantities,

G = N.R²/Kg.Kg

Now, using Dimensional analysis, and writing the dimensions of all the other units,

G = [MLT⁻²][L²]/[M][M]

G = [ML³T⁻²]/[M²]

G =  [M⁻¹L³T⁻²]

The dimensions of G are  [M⁻¹L³T⁻²].

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Calculate the ball's greatest height using the vertical motion model, h = -16t2 + vt + s, where v is the beginning velocity in feet/second and s is the height in feet.

A ball is thrown into the air, where it gradually loses speed until it abruptly comes to a rest at the peak of the motion. The body is travelling upward against gravity at the top, hence the acceleration there is 9.8 ms2. For example, g=9.8 ms2 is the formula for the acceleration caused by gravity.

Only at the greatest point of a body being hurled vertically upwards would velocity be zero because of the constant downward acceleration brought on by the gravitational force. As a result, velocity is zero throughout the rest of the motion.

A ball is originally moving upward when it is tossed into the air, for instance.

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We will have the following:

First, we have that the permeability of free space is:

Then:

So, the distance is approximately 0.32 m.

Newton's laws of motion, which are composed of three basic principles, describe the interaction between an object's motion and the forces acting on it.

These laws can be summarized as follows: A body remains at rest or in motion in a straight line at a constant speed unless moved upon by a force.

The first law states that an object's motion cannot be changed until a force acts on it.

The second law states that an object's force is calculated by dividing its mass by its acceleration.

The third law states that when two objects come into contact, they apply pressures that are equal in size and direction to one another.

Let a represent the system's acceleration.

T1 = M1a .....(1)

T2 − T1 = M2a ....(2)

F2 − T2 = M3a ......(3)

When we combine (1), (2), and (3), we obtain

(M1​ + M2​ + M3​)a = F

or (1 + 2 + 3) a= 6 a = 1 m/s²

Now , T2 = (M1 + M2​)a = (1 + 2)(1) = 3N

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A superelastic collision is the the collision in which the potential energy of the system is converted into the kinetic energy such the kinetic energy of the system after the collision is more than the kinetic energy of the system before the collision.

Hence, 3rd option is the correct answer.

The time taken for the hare to catch up with the tortoise is 10 seconds.

The time taken for the hare to catch up with the tortoise is calculated by applying the principle of relative velocity as shown below.

Distance travelled by hare + Distance travelled by tortoise = Total distance

V₁t + V₂t = d

where;

Since they are moving in the same direction, the relative velocity becomes

V₁t - V₂t = d

(V₁ - V₂)t = d

(4 - 1)t = 30

3t = 30

t = 30/3

t = 10 seconds

Thus, the time taken for the hare to catch up with the tortoise is 10 seconds.

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The complete question is below:

A tortoise and a hare run to the East. The hare knows that it is faster, so it gives the tortoise a 30-meter head start. The tortoise is moving east at 1 m/s and the hare is moving east at 4 m/s. At what time does the hare catch up with the tortoise?

Answer:

THE REMAINIG WILL BE 75

Explanation:

HOPE IT HELPS YOU

We will have the following:

We use conservation of momentum to solve, that is:

So, Conner's mass is approximately 69.8 kg.

Answer:

The wavelength is 60 cm.

Explanation:

Speed = frequency x wavelength = 100 x 60 = 6000 cm/s

or if you wanted the answer in m/s

Speed = frequency x wavelength= 100 x 0.60 = 60 m/s