The diagram below shows a force of 5N acting on an object P at an angle of 30° to the horizontal.
By drawing appropriate lines on the diagram using a ruler to determine:
a.)The horizontal component of the 5N force.
b.)The vertical component of the 5N force .
Answers
Given :
The diagram below shows a force of 5N acting on an object P at an angle of 30° to the horizontal.
To Find :
By drawing appropriate lines on the diagram using a ruler to determine:
a.)The horizontal component of the 5N force.
b.)The vertical component of the 5N force.
Solution :
Horizontal component is given by :
=F cos θ
=5 cos 30°
= 5×0.866
= 4.33 N
Vertical component is given by :
= F sin θ
= 5 sin 30°
= 5×0.5
= 2.5 N
Therefore, horizontal and vertical component are 4.33 N and 2.5 N.
Hence, this is the required solution.
Related Questions
A 58-kg boy swings a baseball bat, which causes a 0.140-kg baseball to move toward 3rd base with a velocity of 38.0 m/s.
Calculate the kinetic energy of the baseball (rounding your answer to the integer).
Answers
Answer:
101 J
Explanation:
Answer:
[tex]\boxed {\boxed {\sf 101 \ Joules}}[/tex]
Explanation:
Kinetic energy can be found using the following formula:
[tex]KE=\frac{1}{2}mv^2[/tex]
The mass of the baseball is 0.140 kilograms and the velocity is 38.0 meters per second.
[tex]m= 0.140 \ kg \\v= 38.0 \ m/s[/tex]
Substitute the values into the formula.
[tex]KE=\frac{1}{2} [0.140 \ kg][(38.0 \ m/s)^2][/tex]
First, evaluate the exponent.
(38.0 m/s)²= 38.0 m/s * 38.0 m/s = 1444 m²/s²[tex]KE=\frac{1}{2}(0.140 \ kg)(1444 \ m^2/s^2)[/tex]
Multiply the two numbers in parentheses together.
[tex]KE=\frac{1}{2}(202.16 \ kg*m^2/s^2)[/tex]
Multiply the fraction by the number, or divide the number by 2.
[tex]KE=101.08 \ kg*m^2/s^2[/tex]
Round to the nearest whole number. The 0 in the tenth place tells us we can leave the number as is.
[tex]KE\approx 101 \ kg*m^2/s^2[/tex]
1 kg*m²/s² is equal to 1 Joule. Therefore, our answer of 101 kg*m²/s² is equal to 101 Joules (J).
[tex]KE\approx 101 \ J[/tex]
The kinetic energy of the baseball is about 101 Joules.
what is the peacocks displacement from 2 to 3 seconds
Answers
Which of the following best describes a hypothesis?
O A. A question that scientists study
B. A possible answer to a scientific question
C. An explanation supported by many observations
O D. A list of scientific data
Answers
Answer:
B. A possible answer to a scientific question
Explanation:
It's usually a possible or testable explanation made on the basis of limited evidence as a starting point for further investigation.
A 2 kg mass moving along a horizontal surface at 10 m/s is acted upon by a 5 N force of
friction. Calculate the net force?
Answers
Answer:
F = 20.61 N
Explanation:
Given that,
Mass of the object, m = 2 kg
It is moving with a speed of 10 m/s
It is acted upon by a 5 N of friction.
The force of gravity acts in downward direction which is given by :
W = mg
W = 2 × 10 = 20 N
5 N of force is acting in horizonal surface.
The net force is given by the resultant of two vectors as follows :
[tex]F=\sqrt{20^2+5^2} \\\\=20.61\ N[/tex]
So, the net force acting on the object is 20.61 N.
The net force acting on the mass is equal to 13.6 Newton.
Given the following data:
Mass = 2 kgSpeed = 10 m/sForce of friction = 5 NWe know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8 [tex]m/s^2[/tex].
To calculate the net force:
First of all, we would determine the normal force acting on the mass.
Mathematically, the normal force is given by the formula:
[tex]F_N = mg[/tex]
Where:
m is the mass of an object. g is the acceleration due to gravity.Substituting the given parameters into the formula, we have;
[tex]F_N = 2 \times 9.8[/tex]
Normal force = 19.6 Newton
To find net force:
[tex]Net\;force = 19.6 - 5[/tex]
Net force = 13.6 Newton.
Note: We subtracted because friction opposes the motion of an object and as such acts in opposite direction.
Read more: https://brainly.com/question/19046878
What is another example of convection?
(A) A heater in a fish tank the bottom of the tank
(B) Batteries in a flashlight converting chemical energy into light
(C) Touching a stove and burning your hand
(D) Warming up next to a fire on a cold night
Answers
Answer: The answer is c!
A heater in a fish tank warming the water at the bottom of the tank is an another example of convection.
What is convection of heat?Convection, which is the extensive movement of molecules within gases and liquids, is the mechanism through which heat is transported. Although most of the heat transfer occurs as a result of fluid motion, conduction is initially employed to transfer heat from the item to the fluid.
As a result of material movement, heat is transmitted through fluids by convection.Both gases and liquids can contain it.It might be forced or organic.It is important to transfer part of the fluid in bulk.Convection is therefore demonstrated by a heater in a fish tank warming the water at the tank's bottom.
Learn more about convection of heat here:
brainly.com/question/16600140
#SPJ2
The distance recorded for riding a motorcycle on its rear wheel without stopping is more than 320 km! Suppose the rider in this impressive position is traveling with an initial velocity of 8.0 m/s before accelerating. Then the rider travels 40.0 m at a constant acceleration of 2.00 m/s2. What is the rider's velocity after the acceleration?
Answers
Answer:
14.97m/sExplanation:
Given
Initial velocity of the car u = 8m/s
Distance travelled by the rider S = 40m
Acceleration a = 2m/s²
Required
rider's velocity after the acceleration v
Using the equation of motion
v² = u²+2as
v² = 8²+2(2)(40)
v² = 64+160
v² = 224
v = √224
v = 14.97m/s
Hence the rider's velocity after the acceleration is 14.97m/s
A copper rod of crosssectional area 0.500 cm2 and length 1.00 m is elongated by 2.00 * 10-2 mm and a steel rod of the same cross-sectional area but 0.100 m in length is elongated by 2.00 * 10-3 mm. Which rod is under greater tensile strain?
Answers
Answer:
They have the same tensile strainExplanation:
Strain of a material is the ratio of its extension to its original length.
strain = e/lo
e is the extension
lo is the original length
For a copper rod;
e = 2.00 * 10^-2mm
lo = 1.00m
convert 1.00m to mm
1.00m = 1*10^-3mm
get the strain
Strain = 2.00 * 10^-2mm/1*10^-3mm
Strain = 2 * 10^{-2+3}
Strain = 2*10^1 = 20
For the steel
e = 2.00 * 10^-3mm
lo = 0.100m
convert 0.100m to mm
0.1m = 0.1*10^-3mm
0.1m = 10^-4mm
get the strain
Strain = 2.00 * 10^-3mm/10^-4mm
Strain = 2 * 10^{-3+4}
Strain = 2*10^1 = 20
Since the value of their strain are the same, this means that they a re under the SAME tensile strain. No one is greater that the other.
The rod under greater tensile strain is ; Neither of them i.e. They both have the same tensile strain
Given data :
Cross sectional area of copper rod = 0.5 cm²
Length of copper rod = 1.0 m = 1 * 10³ mm
Elongation of copper rod ( Ec ) = 2.0 * 10⁻² mm
For Steel
Cross sectional area of steel = 0.5 cm²
Length of steel rod = 0.1 m = 1 * 10² mm
Elongation of steel rod ( Es )= 2.0 * 10⁻³ mm
Determine the Tensile strain of each rod
i) For copper rod
Tensile strain = Ec / Length of copper rod
= ( 2.0 * 10⁻² ) / ( 1 * 10³ )
= 2.0 * 10⁻⁵
ii) For the steel rod
Tensile strain = Es / Length of steel rod
= ( 2.0 * 10⁻³ ) / ( 1 * 10² )
= 2.0 * 10⁻⁵
The Tensile strain for the copper rod and the steel rod is the same ( 2.0 * 10⁻⁵ ) This means that both rods are under the same tensile strain
Learn more : https://brainly.com/question/24024159
if a car has traveled 24km in 2 hours, what is the average speed?
Answers
Answer:
12
Explanation:
----------------............
A jogger takes five minutes to run a distance of three kilometres. His speed, in metres per second, is approximately A) 5.5 M/S B) 10 M/S C) 36 M/S D) 4.5 M/S
Answers
Answer:
His speed, in metres per second, is approximately 10m/s. The correct option is B.
Explanation:
Speed is defined as the rate in which an object cover a distance in a given time. It is measured in meters per second ( m/s). From the question, the jogger covered a distance of 3Km which when converted to meter is 3000meters in a given time 5 minutes which is 300seconds. The calculation of his speed in meter per second is shown below:
Distance= 3Km to meters ( as 1000meters = 1Km). Therefore 3× 1000 = 3000m
Time= 5 minutes to seconds ( as 1 minute = 60 Seconds). Therefore 5× 60= 300.
Speed= distance/ time
= 3000/300
= 10m/s
Therefore his speed, in metres per second, is approximately 10.
what can i do to recycle?
Answers
Answer:
You could throw away the following items:
Mixed paper: Newspaper, magazine, junk mail, cardboard, frozen food packaging, wrapping paper, paper bags, etc.
Cans: aluminum, foil, tin, steal, aerosol (empty without pressure) and metal food trays. ...
Unbroken glass: Wine bottles, bottles and jars.
Plastic: Rigid containers like milk jugs, shampoo or water bottles.
Hope this helped
why are annowwhisker used to repel stains on fabrics
Answers
Answer:Because it makes the stains like go away which makes the fabrics get not stained so yeah
At which point does the image appear?
W
X
Y
Z
Answers
Someone in a car going past you at the speed of 32 m/s drops a small rock from a height of 2 m. How far from the point of the drop will the rock hit the ground? the acceleration due to gravity is 9.8m/s^2. answer in units of m.
Answers
Answer:
The rock will hit the ground at 20.44 m from the point of the drop
Explanation:
Horizontal Motion
It occurs when an object is thrown horizontally from a height h at an initial speed v.
The range or maximum horizontal distance traveled by the object can be calculated as follows:
[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]
When the small rock is dropped from a car at speed v=32 m/s, it starts a curved path that ends up when the rock hits the ground. The height is h=2 m, thus the range is:
[tex]\displaystyle d=32\cdot\sqrt{\frac {2\cdot 2}{9.8}}[/tex]
[tex]\displaystyle d=32\cdot\sqrt{0.4082}[/tex]
[tex]d=20.44\ m[/tex]
The rock will hit the ground at 20.44 m from the point of the drop
If the net force acting on a moving object is zero, the object will: *
slow down and, eventually, stop.
continue at the same speed but change direction.
O
continue in the same direction but change speed.
O
continue in the same direction with no change of speed.
Answers
Answer: D) continue in the same direction with no change of speed.
In other words, the velocity of the object won't change.
A net force of 0 means that all forces acting on the object are in balance. If the object is in motion, then it stays in motion. If the object is at rest, then it stays at rest. This is newton's first law of motion describing inertia.
If no work is done, the total energy is not changed. In that situation, if the kinetic energy changes, what must happen to the potential energy?
Answers
Answer:
the potential energy will also change
Explanation:
kinetic energy and potential energy are inversely proportional to each other, so if kinetic energy changes, potential energy will also change..
How might heating the molecules inside the bottle change the motion of the molecules?
Answers
Where are alkaline earth metals found on the periodic table? Group 1 Group 2 Groups 3–12 Group 17'
Answers
Answer:
B- Group 2... It says my answer is too short so how ya'll doing today?
two monkeys were swinging on vines together. One monkey got stuck hanging from a branch unable to move. the other monkey, who was very smart,knew that to move he needed to have a net force in the direction he wanted to go
Answers
Answer:
Hi, what is the question here?
Explanation:
Happy to help if I'm able to
A small chunk of wax floats if placed in water. If huge piece of wax that is as heavy as a
car, is placed in water, it will
Answers
How does the force of gravity change between two planets when the masses ofBOTH planets are doubled?
Fg=G m1m2
d2
O A
2 times the gravity
B.
4 times the gravity
O
C
no change in gravity
Oo
1/2 the gravity
Answers
Answer:
B. 4 times
Explanation:
Fg'=G(2m1)(2m2)/d²
Fg'=4Gm1m2/r²
The attachment is here. It is physics/chem.
Answers
Answer:
Can some body plz explain me plzzz
What happens when an electrically charged balloon is placed close to an uncharged soda can?
The balloon attracts the can.
The balloon is negatively charged.
The can attracts the balloon.
The can becomes positively charged.
Answers
Answer:
The surface closest to the balloon becomes positively charged, while the far side of the can becomes negatively charged. This results in an attractive force that draws the can to the balloon.
Explanation:
Answer:
The balloon is negatively charged.
Explanation:
hope it helps
Bird man is flying horizontally at a speed of 33m/s and a height of 86m. Bird man releases a turd directly above the start of the field. How far from the start of the field should the robot hold the bucket to catch the turd.
Answers
Answer:
2838
Explanation:
The number of waves that pass a given point in a second is___.
1- amplitude
2- wavelength
3- frequency
4- wave speed
Answers
Answer:
Frequency
Explanation:
The frequency ( ) of a wave is the number of waves passing a point in a certain time.
would someone just answer this now?
Answers
cos50.6 = adjacent/47.3
(47.3)(cos50.6) = 30.02
The y component of the vector is 30.0 m.
GIVING THE REST OF MY POINTS!
Energy can be:
A. destroyed or converted to another form.
B. destroyed.
C. created, but never destroyed.
D. converted to another form.
Answers
A car’s velocity changes from 35 m/s to stopped in 13 seconds. Calculate
acceleration.
Answers
2. The word used to represent a chemical reaction is a/an a. Atom b. Formula O c. Equation d. Symbol
Answers
Answer:
A formula I am pretty sure
Under what conditions can an object have forces acting on it, but its motion does not change ?
Answers
Answer: An object at rest has zero velocity - and (in the absence of an unbalanced force) will remain with a zero velocity. Such an object will not change its state of motion.
Explanation: I hoped that helped!!
A Boy has a ball and throws it straight up into the air with an initial velocity of 6 m/s. Calculate the maximum height of the ball and the time the ball is in the air.
Answers
Answer:
i. 1.84 m
ii. The ball's time in the air is 1.23s.
Explanation:
The ball moves upward (against the gravitational pull) with an initial velocity of 6 m/s.
I. Applying the third equation of free fall, the maximum height is;
[tex]V^{2}[/tex] = [tex]U^{2}[/tex] - 2gs
where the variables have there usual meaning.
[tex]V^{2}[/tex] = 0 m/s, [tex]U^{2}[/tex] = 6 m/s, g = 9.8 m/[tex]s^{2}[/tex].
0 = [tex]6^{2}[/tex] - 2 x 9.8 x s
0 = 36 - 19.6s
⇒ 19.6s = 36
s = [tex]\frac{36}{19.6}[/tex]
= 1.8367
= 1.84 m
The maximum height of the ball is 1.84 m.
II. The time the ball was in air can be determined by,
time of flight, T = [tex]\frac{2USin A}{g}[/tex]
where U is the initial velocity of the ball, A is the angle of projection and g is the acceleration due to gravity.
U = 6 m/s, A = [tex]90^{o}[/tex] (since the ball is thrown vertically upward), and g = 9.8 m/[tex]s^{2}[/tex].
T = [tex]\frac{2 *6 Sin90^{o} }{9.8}[/tex]
= [tex]\frac{12}{9.8}[/tex]
= 1.2245
T = 1.23s
The ball's time in the air is 1.23s.