Laws of Motion Test

Result

Laws of Motion Test - 27

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Weekly Quiz Competition

Question 1
4 / -1

A block of mass m is resting on an inclined plane as shown in Fig. The inclination of the plane to the horizontal is gradually increased. It is found that when angle of inclination is θ, the block just begins to slide down the plane. What is the minimum force F applied parallel to the plane that would just make the block move up the plane?

A
2 mg sin θ

B
mg sin θ

C
mg cos θ

D
2 mg cos θ
Question 2
4 / -1

A man of mass 60 kg is standing on a horizontal conveyer belt. When the belt is given an acceleration of 1m/s², the man remains stationary with respect to the moving belt. If g = 10 m/s², the net force acting on the man is

A
0.6 N

B
6 N

C
60 N

D
600 N
Question 3
4 / -1

A small block B is placed on block A of mass 5 kg and length 20 cm. A constant horizontal force of 10 N is applied on block A. If all the surfaces are assumed frictionless and block B is at the right end of block A, then the time in which block B separates from A is

A
0.2 s

B
0.45 s

C
0.39 s

D
0.32 s

Solution
Question 4
4 / -1

A dynamometer D is attached to two bodies of masses M = 6 kg and m = 4 kg. Forces F = 20 N and f = 10 N are applied to the masses as shown. The dynamometer reads:

A
10 N

B
20 N

C
6 N

D
14 N

Solution
Question 5
4 / -1

A horizontal force F is applied on a rod inserted between two identical blocks A and B placed over a rough surface as shown in fig. Force F is gradually increased. Which of the blocks will move first ?

A
Block A

B
Block B

C
Both move at same time

D
Depends on friction coefficient between the blocks and ground

Solution
Question 6
4 / -1

As shown in fig., six steel balls of identical size are lined up along a straight groove (frictionless). Two similar balls moving with speed u along the groove collide with this row on the extreme left end. Then,

A
One ball from the right end will move on with speed 2u, all the remaining balls will be at rest.

B
Two balls from extreme right end will move on with speed u each and the remaining balls will be at rest.

C
All the balls will start moving to the right with speed u/8 each

D
All the six balls originally at rest will move on with the speed u/6 each and the two incident balls will come to rest.
Question 7
4 / -1

A lump of clay of mass 10g travelling with a velocity 10cm/sec, towards east collides head on with another lump of clay of mass 10g travelling with velocity of 20 cm/sec towards west. If the two lumps coalesce after collision, what is its velocity if no external force acts on the system ?

A
15 cm/ sec towards west

B
15 cm/sec towards east

C
5 cm/sec towards west.

D
5 cm/sec towards east.
Question 8
4 / -1

Two masses m and 2 m are joined to each other by means of a frictionless pulley as shown in fig. When the mass 2 m is released, the mass m will ascend with an acceleration of

A
g/3

B
g/2

C
g

D
2g

Solution
Question 9
4 / -1

Two blocks of masses m₁ and m₂ are placed in contact with each other on a horizontal platform. The coefficient of friction between the platform and the two blocks is the same. The platform moves with an acceleration.The force of interaction between the blocks is.

A
Zero, only if m₁ = m₂

B
non zero when m₁ > m₂

C
non zero when m₁ < m₂

D
zero in all cases.
Question 10
4 / -1

A 40 Kg slab rests on a frictionless floor. A 10 Kg block rests on top of the slab, fig. The static coefficient of friction between the block and the slab is 0.60 while the kinetic coefficient is 0.40. The 10 Kg block is acted upon by a horizontal force of 100 N. If g = 9.8 m/s², the resulting acceleration of the slab will be :

A
0.98 m/s²

B
1.47 m/s²

C
1.52 m/s²

D
6.1 m/s²

Solution