Question

A ball of mass 0.6kg,moving at a velocity of 20m/s is suddenly hit by a force of 10N for a time 0f 0.6s.Find its new velocity of motion.

Answer 1

Answer on Question #38308, Physics, Other

Question:

A ball of mass 0.6kg, moving at a velocity of 20m/s is suddenly hit by a force of 10N for a time of 0.6s. Find its new velocity of motion.

Answer:

Newton’s second law of motion can be expressed in equation form as follows:

$$\vec{F} = \frac{\Delta \vec{p}}{\Delta t}$$

If force directed opposite to motion:

$$F = - \frac{\Delta p}{\Delta t}$$

where $F$ is force, $p$ is momentum, $t$ – time.

Change of momentum equals:

$$\Delta p = m v' - m v_0$$

Therefore:

$$F \Delta t = - (m v' - m v_0)$$ $$v' = v_0 - \frac{F \Delta t}{m} = 10 \frac{m}{s}$$

Answer: $10 \frac{m}{s}$