Linear momentum Quiz 1

Question 1

Ammu was playing football with his brother with the ball of mass $$1	ext{ }kg$$. She kicked the ball towards a nearby standing tree with a velocity $$5	ext{ }m{{s}^{-1}}$$ and it came back with a velocity $$X$$. What will be the velocity with which the ball comes back?

Accepted Answer

$$5	ext{ }m{{s}^{-1}}$$

Answer

$$4	ext{ }m{{s}^{-1}}$$

Answer

$$\dfrac{1}{5}	ext{ }m{{s}^{-1}}$$

Answer

$$\dfrac{1}{6}	ext{ }m{{s}^{-1}}$$

Question 2

Henza was pulling a rope tied with a mass $$3	ext{ }kg$$, with a force mentioned to be $$5	ext{ }N$$. She pulled the rope for a time interval of $$t=1	ext{ }s$$ to $$t=6	ext{ }s$$. What will be the momentum of the rope-mass system?

Accepted Answer

$$25	ext{ }kgm{{s}^{-1}}$$

Answer

$$30	ext{ }kgm{{s}^{-1}}$$

Answer

$$35	ext{ }kgm{{s}^{-1}}$$

Answer

$$5	ext{ }kgm{{s}^{-1}}$$

Question 3

When a body of mass $$6	ext{ }kg$$ was moving in a two dimensional space, the velocity in the x-direction was given as $$3	ext{ }m{{s}^{-1}}$$ and the velocity component in the y-direction has been mentioned as $$4	ext{ }m{{s}^{-1}}$$. Calculate the total momentum of the body while travelling in the x-y plane.

Accepted Answer

$$30	ext{ kgm}{{	ext{s}}^{-1}}$$

Answer

$$5	ext{ kgm}{{	ext{s}}^{-1}}$$

Answer

$$3	ext{ }kgm{{s}^{-1}}$$

Answer

$$12	ext{ }kgm{{s}^{-1}}$$

Question 4

A dog of mass $$15	ext{ kg}$$ was playing with a ball in a garden. The dog kicked the ball by which the ball moved with a change in momentum given as $$5	ext{ kgm}{{	ext{s}}^{-1}}$$. What will be the acceleration of the ball if the time taken is $$1	ext{ }s$$ to make the ball stop?

Accepted Answer

$$0.333\,m{{s}^{-2}}$$

Answer

$$0.223\,m{{s}^{-2}}$$

Answer

$$0.123\,m{{s}^{-2}}$$

Answer

$$0.424\,m{{s}^{-2}}$$

Question 5

Find out the value of change in momentum with respect to change in time if the value of mass is not a constant.

Accepted Answer

$$\dfrac{dP}{dt}=m\dfrac{dv}{dt}+v\dfrac{dm}{dt}$$

Answer

$$\dfrac{dP}{dt}=m\dfrac{dv}{dt}$$

Answer

$$\dfrac{dP}{dt}=v\dfrac{dm}{dt}$$

Answer

$$\dfrac{dP}{dt}=ma$$