A 1000 kg cart is rolling to the right at 5.0 m/s . A 70 kg man is standing on the right end of the cart. What is the speed of the cart if the man suddenly starts running to the left with a speed of 10 m/s relative to the cart?

(II) The force on a bullet along the barrel of a firearm is given by the formula F = [740 ― (2.3 x 10⁵ s⁻¹ ) t] N over the time interval t = 0 to t = 3.0 x 10⁻³ s .

(e) What is the recoil speed of the 4.5-kg gun?

(III) A 360-kg four-wheel flat cart 15 m long is moving horizontally with a speed of 6.0 m/s. A 110-kg worker starts walking from one end of the cart to the other in the direction of motion, with speed 2.0 m/s with respect to the cart. In the time it takes for him to reach the other end, how far has the cart moved?

An 80-kg astronaut is stranded floating in space is 30 m away from his spaceship. He wants to return to his spaceship in 20 s. How fast must he throw his 2-kg space hammer, directly away from the spaceship, to accomplish this?

(II) A 0.145-kg baseball pitched horizontally at 35.0 m/s strikes a bat and pops straight up to a height of 31.5 m. If the contact time between bat and ball is 2.5 ms, calculate the average force between the ball and bat during contact.