Q. It has been suggested that rotating cylinders about 10 mi long and 5.0 mi in diameter be placed in space and used as colonies. What angular speed must such a cylinder have so that the centripetal acceleration at its surface equals the free-fall acceleration on Earth?
Q. Suppose the carts are initially at rest, and after the "explosion" the smaller cart is moving at velocity +8.87 m/s.
- Find the velocity of the larger cart.
- If the mass of the smaller cart is 3.06 kg, find the energy supplied by the spring to the carts.
- If the spring has spring constant k = 463 N/m, find the distance the spring was compressed before the "explosion".