Question

A 75.0 kg man sits on a massless cart that is on a horizontal surface. The cart is initially stationary and it can move without friction or air resistance. The man throws a 5.00 kg stone in the positive direction, applying a force to it so that it has acceleration +3.50 m/s2 as measured by a nearby observer on the ground. What is the man's acceleration during the throw, as seen by the same observer? Be careful to use correct signs.

Answer 1

Answer:$0.233 m/s^2$

Explanation:

Given

Mass of man m=75 kg

mass of stone $m_0=5 kg$

acceleration of stone $a=3.5 m/s^2$

To provide a acceleration of 3.5 m/s^2[/tex] he must exert a force of

$F=m_0\times a=5\times 3.5=17.5 N$

same Force is exerted by stone on cart

$17.5=m\times a$

$a=\frac{17.5}{75}=0.233 m/s^2$