A spring-loaded toy gun is used to launch a 50 g plastic bal…

A spring-loaded toy gun is used to launch a 50 g plastic ball. The spring is compressed by 10 cm as the ball is pushed into the barrel. When the trigger is pulled, the spring is released and shoots the ball back out horizontally. What is the spring constant (k) if the ball’s speed as it leaves the barrel is 2.8 m/s? Assume that friction is negligible.

An object with a mass of 10 kg is initially at rest at the t…

An object with a mass of 10 kg is initially at rest at the top of a frictionless inclined plane that rises at 80° above the horizontal. At the top, the object is initially 3.0 m high from the floor, as shown in the figure. When the object is released from this position, it eventually stops at a distance d = 13 m from the bottom of the inclined plane along a horizontal surface, as shown. Air resistance is negligible. Find the frictional coefficient (mu) between the horizontal surface.  Is this friction static or kinetic?

As shown in the figure, a 10.0 m long bar is attached by a f…

As shown in the figure, a 10.0 m long bar is attached by a frictionless hinge to a wall and held horizontal by a light rope that makes an angle θ with the bar. The bar is uniform and has a mass of 7 kg. What is the tension (T) in the rope when a 10.0 kg mass be suspended 4.2 cm from the hinge?