A cart rolls across a level surface with almost no rolling friction. It carries a small...

 

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A cart rolls across a level surface with almost no rolling friction. It carries a small steel ball and is outfitted with a spring-loaded device that launches the steel ball into the air. The cart has a mass of 1 kg and the steel ball has a mass of .25 kg. A) When the cart is rolling with a speed of 12 m/s, it launches the ball at a velocity of 5 m/s straight up with respect to the cart. What is the cart's speed, as measured by a stationary observer, just after it launches the steel ball? And what is the ball's speed as measured by a stationary observer? B) On a second trial, when the cart is once again rolling with a speed of 12 m/s, it launches the ball with a velocity of 5 m/s straight up with respect to a stationary observer. What is the cart's speed, as measured by a stationary observer, just after it launches the steel ball? C) On a third trial, the cart starts from rest and launches the ball at a speed of 40 m/s and an angle of 30 above the horizontal, as measured by a stationary observer. What is the cart's speed, as measured by a stationary observer, just after it launches the steel ball? Once again, friction is negligible. A cart rolls across a level surface with almost no rolling friction. It carries a small steel ball and is outfitted with a spring-loaded device that launches the steel ball into the air. The cart has a mass of 1 kg and the steel ball has a mass of .25 kg. A) When the cart is rolling with a speed of 12 m/s, it launches the ball at a velocity of 5 m/s straight up with respect to the cart. What is the cart's speed, as measured by a stationary observer, just after it launches the steel ball? And what is the ball's speed as measured by a stationary observer? B) On a second trial, when the cart is once again rolling with a speed of 12 m/s, it launches the ball with a velocity of 5 m/s straight up with respect to a stationary observer. What is the cart's speed, as measured by a stationary observer, just after it launches the steel ball? C) On a third trial, the cart starts from rest and launches the ball at a speed of 40 m/s and an angle of 30 above the horizontal, as measured by a stationary observer. What is the cart's speed, as measured by a stationary observer, just after it launches the steel ball? Once again, friction is negligible.