Miscellaneous Test

Result

Miscellaneous Test - 69

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Question 1
4 / -1

Hailstorm are observed to strike the surface of a frozen lake in a direction making an angle of 30 c to the vertical and to rebound at an angle of 60 C to the vertical. Assuming the contact to be smooth, the coefficient of restitution is

A
1/3

B
2/3

C
1/√3

D
None of these

Solution
Question 2
4 / -1

Any heavy elastic ball falls from the ceiling of any room and after rebounding two times reaches the half of the height of ceiling. The coefficient of restitution is

A

B

C

D

Solution
Question 3
4 / -1

A ball of 1 kg moving with velocity 7 m/sec overtakes and collides with a ball of mass 2 kg moving with velocity 1 m/sec in the same direction. If e = 3/4, the velocity of the lighter ball after impact is

A
120 m/sec

B
1/2 m/sec

C
1 m/sec

D
0 m/sec

Solution
Question 4
4 / -1

A ball falls from a height h upon a fixed horizontal plane, e is the coefficient of restitution, the whole distance described by the ball before it comes to rest is

A

B

C

D

Solution
Question 5
4 / -1

A ball of mass 8 kg and moving with velocity 4 m/sec collides with another ball of mass 10 kg moving with velocity 2 m/sec in the same direction. If the coefficient of restitution is 1/2, the velocities (in m/sec) of the balls after impact are

A
0, 0

B
7/3, 10/3

C
2/3, 5/3

D
2, 2

Solution
Question 6
4 / -1

A sphere impinges directly on an equal sphere which is at rest. Then the original kinetic energy lost is equal to

A

B

C

D
None of these

Solution
Question 7
4 / -1

A ball weighing 2 kg and speed 6 m/s collides with another ball of 4 kg moving in opposite direction with speed of 3 m/s. They combine after the collision. The speed of this combined mass in rn/s is

A
4

B
2

C
0

D
3

Solution
Question 8
4 / -1

A 15 kg block is moving on ice with a speed of 5 metre per second when a 10 kg block is dropped onto it vertically. The two together move with a velocity which in metre per second is

A
3

B
√!5

C
5

D
Indeterminate

Solution
Question 9
4 / -1

A particle is projected with velocity 2(√2g) so that it just clear two walls of equal height 2 metre, which are at a distance of 4 metre from each other. What is the time of passing from one wall to another?

A

B

C

D

Solution
Question 10
4 / -1

If you want to kick a football to the maximum distance the angle at which it should be kicked is (assuming no resistance)

A
45^o

B
90°

C
30°

D
60°

Solution