Free Printable Circular Motion

1.

What is the period of motion of the boy in the figure?

a)

0.50 s

b)

2.00 s

c)

5.00 s

d)

10.0 s

2.

The figure shows a ball travelling in a circle. Which vector represents the tangential velocity?

a)

Vector A

b)

Vector B

c)

Vector C

d)

Vector D

3.

For a particular circular motion situation, the velocity is doubled, and the period is tripled. All other variables remain the same. What factor does the centripetal acceleration change by?

a)

$a_{new}\ =\left(\frac{2}{3}\right)a_{old}$

b)

$a_{new}\ =\left(\frac{4}{3}\right)a_{old}$

c)

$a_{new}\ =\left(\frac{4\pi}{3}\right)a_{old}$

d)

$a_{new}\ =\left(\frac{3}{2}\right)a_{old}$

4.

When a car goes around a circular curve on a level road, ...

a)

no frictional force is needed because the car simply follows the road.

b)

the frictional force of the road on the car increases when the car's speed decreases.

c)

the frictional force of the road on the car increases when the car's speed increases.

d)

the frictional force of the road on the car increases when the car moves to the outside of the curve.

5.

A rock attached to a string swings in vertical circle. Which free body diagram could correctly describe the force(s) on the rock when the string is in one possible horizontal position?

a)

A

b)

B

c)

C

d)

D

6.

Calculate the velocity of an object moved around a circle with a radius of 1.65 m and an acceleration of $3.5m/s^2$ .

a)

$2.4\ m/s\$

b)

$3.6\ m/s$

c)

$3.9\ m/s$

d)

$4.2\ m/s$

7.

Calculate the mass of an object if it took 20 N to rotate it in a circle with a radius of 2 meters with a velocity of 4 m/s.

a)

4.1 kg

b)

3.6 kg

c)

2.5 kg

d)

1.8 kg

8.

Calculate the centripetal force required to make a 5 kg ball move 4 m/s in a circle with a radius of 2 m.

a)

10 N

b)

20 N

c)

30 N

d)

40 N

9.

A small sphere is swung in a vertical circle. Which of the following combinations represents the direction of the velocity and acceleration at the bottom of the circle?

a)

A

b)

B

c)

C

d)

D

10.

A small sphere is swung in a vertical circle. Which of the following combinations represents the direction of the velocity and acceleration at the right-most point of the circle?

a)

A

b)

B

c)

C

d)

D

11.

You are moving a ball in a circle using 72 N of centripetal force. What would the force be if you doubled the radius of the circle.

a)

18 N

b)

36 N

c)

72 N

d)

144 N

12.

A body of mass m performing UCM with frequency n along the circumference of circle having radius r, force is given by (knowing that $T=\frac{1}{n}$ )

a)

$4πnm^2$

b)

$4π^2n^2m$

c)

$π^2n^2mr$

d)

$\frac{1}{2}πnm^2$

13.

30- A car has a linear velocity (v) on a circular track of radius (r). If its speed is increasing at a rate of (a) $m/s^2$ , then its resultant acceleration will be …

a)

$\sqrt{(〖v^2/r〗^{ })^2+a^2}$

b)

$\sqrt{(〖v^2/r〗^{ })^2-a^2}$

c)

$〖v^2/r〗^2+a^2$

d)

$〖v^2/r〗^2-a^2$

14.

A car of mass 1000 kg moves on a circular road with a speed of 20 m/s. Its direction changes by 90° after traveling 628 m on the road. The centripetal force acting on the car is ...

a)

500 N

b)

1000 N

c)

1500 N

d)

2000 N

15.

A particle of mass (m) is executing uniform circular motion on a path of radius (r). If (P) is the magnitude of its linear momentum, then, the radial force acting on the particle is …

a)

$pmr$

b)

$\frac{rm}{P}$

c)

$\frac{mp^2}{r}$

d)

$\frac{p^2}{rm}$

16.

A stone attached to a rope of length l = 80 cm is rotated with a speed of 240 round per minute $(r.p.m.)$ At the moment when the velocity is directed vertically upwards, the rope breaks. To what height does the stone rise further?

a)

1.2 m

b)

41.2 m

c)

20.6 m

d)

24.9 m

17.

A car with mass 360 kg travels at constant speed along a circular path around a flat roundabout. The radius of the roundabout is 12 m. The car takes a time of 28 s to completely travel around the roundabout. What is the friction force between the wheels of the car and the surface of the road? Give your answer to the nearest newton.

a)

81 N

b)

54 N

c)

6 N

d)

218 N

e)

350 N

18.

A boy is riding a bicycle on a banked circular country road. Which of the following is the centripetal force acting on the bicycle due to?

a)

The sum of the two vertical components of the reaction force and the force of friction.

b)

The vertical component of the reaction force of the road.

c)

The sum of the two horizontal components of the reaction force and the force of friction.

d)

The horizontal component of the reaction force of the road.

19.

A car moving in a circular path has friction force acting ............... and if during the circular motion it suddenly lost that friction force, the car would ...................

a)

radially outwards from the centre of the circular path, stop moving

b)

radially outwards from the centre of the circular path, move in a straight line tangential to the circular path

c)

radially towards the centre of the circular path, stop moving

d)

radially towards the centre of the circular path, move in a straight line tangential to the circular path

20.

The Moon on average orbits Earth in a period of 27.3 days. The distance between Earth’s and the Moon’s centers is 385‎ ‎000 km. What is the acceleration of the Moon?

a)

$9.83×10^0m/s^2$

b)

$1.57×10^3m/s^2$

c)

$2.73×10^{-3}m/s^2$

d)

$6.92×10^{-2}m/s^2$

21.

An asteroid orbits the Sun in a uniform circular path. Its orbital velocity is $\sqrt{\frac{3GM}{5R}}$ ,where 𝑀 is the mass of the Sun and 𝑅 is its radius. So, the distance between the surface of the Sun and the asteroid equals ...

a)

$\frac{2R}{3}$

b)

$\frac{3R}{5}$

c)

$R$

d)

$\frac{5R}{3}$

22.

Two carts, A and B, move in the same circular path with the same velocity. If 𝑚_A=4m_B,What is the ratio of acceleration of cart A to cart B?

a)

4∶1

b)

1∶4

c)

1∶2

d)

1∶1

23.

A bus is moving at a velocity of 16 m/s on a uniform circular path that has a radius of 150 m. If the centripetal force needed to keep the bus on the circular path is $2.3\times10^3N$ , what is the mass of the bus?

a)

3‎ ‎925.33 kg

b)

2‎ ‎156.25 kg

c)

21‎ ‎562.5 kg

d)

1‎ ‎347.66 kg

24.

If an object is moving along a circular path of radius 𝑟 and speed 𝑣, which of the following is correct?

a)

The object moves at a constant speed.

b)

There is a centripetal force acting on the object to change the direction of its velocity.

c)

$v=\sqrt{Centripetal\ acceleration\times r}$

d)

All of the above

25.

A boy is playing with a yo-yo. The yo-yo has a mass of 0.15 kg. The boy swings it so it goes in a horizontal circle of radius 50 cm at a uniform speed of 2𝜋 m/s. Calculate the tension force in the yo-yo’s string.

a)

1.78 N

b)

2.96 N

c)

5.92 N

d)

11.8 N

Circular Motion

Total questions: 25

Worksheet time: 25mins

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