1
MCQ (Single Correct Answer)
A ball is travelling with uniform translatory motion. This means that
A
it is at rest
B
the path can be a straight line or circular and the ball travels with uniform speed
C
all parts of the ball have the same velocity (magnitude and direction) and the velocity is constant
D
the centre of the ball moves with constant velocity and the ball spins about its centre uniformly
2
MCQ (Single Correct Answer)
A metre scale is moving with uniform velocity. This implies
A
the force acting on the scale is zero, but a torque about the centre of mass can act on the scale
B
the force acting on the scale is zero and the torque acting about centre of mass of the scale is also zero
C
the total force acting on it need not be zero but the torque on it is zero
D
neither the force nor the torque need to be zero
3
MCQ (Single Correct Answer)
A cricket ball of mass 150 g has an initial velocity $$\mathbf{u}=(3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}) \mathrm{ms}^{-1}$$ and a final velocity $$\mathbf{v}=-(3 \hat{\mathbf{i}}+4 \hat{\mathbf{j}}) \mathrm{ms}^{-1}$$, after being hit. The change in momentum (final momentum-initial momentum) is (in $$\mathrm{kgms}^{-1}$$ )
A
zero
B
$$-(0.45 \hat{\mathbf{i}}+0.6 \hat{\mathbf{j}})$$
C
$$-(0.9 \hat{\mathbf{j}}+1.2 \hat{\mathbf{j}})$$
D
$$-5(\hat{\mathbf{i}}+\hat{\mathbf{j}}) \hat{\mathbf{i}}$$
4
MCQ (Single Correct Answer)
In the previous problem (3), the magnitude of the momentum transferred during the hit is
A
zero
B
$$0.75 \mathrm{~kg}^{-\mathrm{m} \mathrm{s}^{-1}}$$
C
$$1.5 \mathrm{~kg}-\mathrm{m} \mathrm{s}^{-1}$$
D
$$14 \mathrm{~kg}-\mathrm{m} \mathrm{s}^{-1}$$
5
MCQ (Single Correct Answer)
Conservation of momentum in a collision between particles can be understood from
A
conservation of energy
B
Newton's first law only
C
Newton's second law only
D
both Newton's second and third law