Question 1

A particle (mass 3kg) moves with a constant angular speed of 2 rad/s around a circular path of radius 1.5 m. Find the force on the particle?

Accepted Answer

18N

Answer

12N

Answer

9N

Answer

15N

Question 2

A particle with mass 2kg moves with a constant speed of $3 ms^{-1}$ around a circular path of radius 50 cm. Find the centripetal force on the particle.

Accepted Answer

36N

Answer

32N

Answer

40N

Answer

46N

Question 3

A car is travelling at a steady speed of $15 ms ^{-1}$ round a roundabout of
radius 20 m. Find the centripetal acceleration acting on the car.

Accepted Answer

$11.25ms^{-2}$

Answer

$9.25ms^{-2}$

Answer

$13.25ms^{-2}$

Answer

$7.25ms^{-2}$

Question 4

A level railway track is in the form of a circular arc of radius 200m. Find the horizontal force acting on the rails when a train of mass 15,000 kg travels around the bend with a speed of $20ms^{-1}$

Accepted Answer

30,000N

Answer

50,000N

Answer

20,000N

Answer

40,000N

Question 5

A 22 kg child is riding a playground merry-go-round that is rotating at 4 rpm.
What centripetal force must she exert to stay on if she is 1.25 m from its center?

Accepted Answer

440N

Answer

640N

Answer

740N

Answer

540N

Question 6

Sarah ties a model plane of mass 180 g to the end of a piece of string and then swings it round so that the plane travels in a horizontal circle.

If the angle $	heta=30^{0}$ find the tension in the string

Accepted Answer

2.04N

Answer

4.04N

Answer

1.04N

Answer

3.04N

Question 7

The diagram shows a car  travelling around a bend of radius 120 m on a
road banked at an angle α to the horizontal.

What is the minimum speed required if $\alpha=30^{0}$

Accepted Answer

$26.06ms^{-1}$

Answer

$18.06ms^{-1}$

Answer

$22.06ms^{-1}$

Answer

$15.06ms^{-1}$

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