Work, Energy and Power Test

Result

Work, Energy and Power Test - 55

Score
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Weekly Quiz Competition

Question 1
4 / -1

A light inextensible string that goes over a smooth fixed pulley as shown in the figure connects two blocks of masses 0.36 kg and 0.72 kg. Taking g = 10 m/s², find the work done (in joules) by the string on the block of mass 0.36 kg during the first second after the system is released from rest

A
6 J

B
5 J

C
8 J

D
2 J

Solution
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

A ball of mass 0.2 kg rests on a vertical post of height 5 m. A bullet of mass 0.01 kg, travelling with a velocity V m/s in a horizontal direction, hits the centre of the ball. After the collision, the ball and bullet travel independently. The ball hits the ground at a distance of 20 m and the bullet at a distance of 100 m from the foot of the post. The initial velocity V of the bullet is

A
250 m/s

B

C
400 m/s

D
500 m/s

Solution
Question 4
4 / -1

A
At point away from the origin, the particle is in unstable equilibrium

B
For any finite non-zero value of x, there is a force directed away from the origin

C
If its total mechanical energy is k/2, it has its minimum kinetic energy at the origin

D
For small displacements for x 0, the motion is simple harmonic

Solution
Question 5
4 / -1

An open knife edge of mass ‘m’ is dropped from a height ‘h’ on a wooden floor, lithe blade penetrates upto the depth ‘d’ into the wood, the average resistance offered by the wood to the knife edge is

A

B

C

D

Solution
Question 6
4 / -1

Consider the following two statements
I. Linear momentum of a system of particles is zero
II. Kinetic energy of a system of particles is zero, Then

A
I implies II and II implies I

B
I does not imply II and II does not imply I

C
I implies II but II does not imply I

D
I does not imply II but II implies I
Question 7
4 / -1

A shell is fired from a cannon with velocity v m/sec at an angle θ with the horizontal direction. At the highest point in its path it explodes into two pieces of equal mass. One of the pieces retraces its path to the cannon and the speed in m/sec of the other piece immediately after the explosion is

A

B

C

D

Solution
Question 8
4 / -1

A
zero

B

C

D

Solution
Question 9
4 / -1

Consider elastic collision of a particle of mass m moving with a velocity u with another particle of the same mass at rest. After the collision the projectile and the struck particle move in directions making angles θ₁ and θ₂ respectively with the initial direction of motion. The sum of the angles θ₁ + θ₂, is

A
45^o

B
90^o

C
135^o

D
180^o
Question 10
4 / -1

Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. Their tangential velocities are v and 2v, respectively, as shown in the figure. Between collisions, the particles move with constant speeds. After making how many elastic collisions, other than that at A, these two particles will again reach the point A

A
4

B
3

C
2

D
1

Solution