Motion in a Plane Test

Result

Motion in a Plane Test - 31

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Weekly Quiz Competition

Question 1
4 / -1

When a body moves in a circular path, no work is done by the force since

A
There is no displacement

B
There is no net force

C
Force and displacement are perpendicular to each other

D
The force is always from the centre

Solution
Question 2
4 / -1

Which of the following statements is false for a particle moving in a circle with a constant angular speed?

A
The velocity vector is tangent to the circle

B
The acceleration vector is tangent to the circle

C
The acceleration vector points to the centre of the circle

D
The velocity and acceleration vector are perpendicular to each other
Question 3
4 / -1

A

B

C

D

Solution
Question 4
4 / -1

The earth moves round the Sun in a near circular orbit of radius 1.5 × 10¹¹ m. Its centripetal acceleration is

A
1.5 × 10^–3 m/s²

B
3 × 10^–3 m/s²

C
6 × 10^–3 m/s²

D
12 × 10^–3 m/s²

Solution
Question 5
4 / -1

Which one of the following statements is not correct in uniform circular motion?

A
The speed of the particle remains constant

B
The acceleration always towards the centre

C
The angular speed remains constant

D
The velocity remains cosntant
Question 6
4 / -1

If a car is to travel with a speed v along the frictionless, banked circular track of radius r, the required angle of banking so that the car does skid is

A

B

C

D
Question 7
4 / -1

A stone of mass 2 kg is tied to a string of length 0.5 m. If the breaking tension of the string is 900 N, then the maximum angular velocity, the stone can have in uniform circular motion is

A
30 rad s^–1

B
20 rad s^–1

C
10 rad s^–1

D
25 rad s^–1

Solution
Question 8
4 / -1

Two cars of masses m₁ and m₂ are moving in circles of radii r₁ and r₂ respectively. Their speeds are such that they make complete circles in the same time t. The ratio of their centripetal acceleration is

A
m₁r₁ : m₂r₂

B
m₁ : m₂

C
r₁ : r₂

D
1 : 1

Solution
Question 9
4 / -1

In a circus stuntman rides a motorbike in a circular track of radius R in the vertical plane. The minimum speed at highest point of track will be

A

B

C

D

Solution
Question 10
4 / -1

A block of mass m at the end of a string is whirled round in a vertical circle of radius R. The critical speed of the block at the top of its swing below which the string would slacken before the block reaches the top is

A
Rg

B
(Rg)²

C
R/g

D

Solution