Two blocks, of masses M = 1.6 kg and 2M, are connected to a spring of spring constant k = 240 N/m that has one end fixed, as shown in the figure. The horizontal surface and the pulley are frictionless, and the pulley has negligible mass. The blocks are released from rest with the spring relaxed. (a) What is the combined kinetic energy of the two blocks when the hanging block has fallen 0.087 m? (b) What is the kinetic energy of the hanging block when it has fallen that 0.087 m? (c) What maximum distance does the hanging block fall before momentarily stopping? M 2M

A block with mass m = 1.14 kg is placed against a spring on a frictionless incline with angle = 22.0° (see the figure). (The block is not attached to the spring.) The spring, with spring constant k = 15 N/cm, is compressed 24.1 cm and then released. (a) What is the elastic potential energy of the compressed spring? (b) What is the change in the gravitational potential energy of the block-Earth system as the block moves from the release point to its highest point on the incline? (c) How far along the incline is the highest point from the release point?

A box is supported by a 5.2 N vertical force and carried 2.3 m horizontally across a room at constant speed. Then, the same box is pushed 2.3 m horizontally across a smooth table (smooth enough to ignore friction) by a 5.2 N horizontal force. In which case was more work done on the box by the 5.2 N force?

A pendulum consists of a 1.2 kg stone swinging on a 4.2 m string of negligible mass. The stone has a speed of 8.3 m/s when it passes its lowest point. (a) What is the speed when the string is at 56" to the vertical? (b) What is the greatest angle with the vertical that the string will reach during the stone's motion? (c) If the potential energy of the pendulum-Earth system is taken to be zero at the stone's lowest point, what is the total mechanical energy of the system? (a) Number i Unit (b) Number i Unit (c) Number i Unit

A block of mass 500 g is attached to a spring of spring constant 80 N/m (see the following figure). The other end of the spring is attached to a support while the mass rests on a rough surface with a coefficient of friction of 0.20 that is inclined at angle of 30°. The block is pushed along the surface till the spring compresses by 10 cm and is then released from rest. (a) How much potential energy was stored in the block-spring-support system when the block was just released? (b) Determine the speed of the block when it crosses the point when the spring is neither compressed nor stretched. (c) Determine the position of the block where it just comes to rest on its way up the incline.

A toad with mass of 190 g leaps into the air to catch a fly. If the toad's jump was at an angle of 37 degrees with respect to the horizontal, and with an initial velocity of 3.1 m/s, what is its kinetic energy (in Joules) when it reaches its maximum vertical displacement?

A man pushes a m = 4.00 kg bin a distance d = 3.40 m along the floor by a constant force of magnitude F = 16.0N directed at an angle 6 = 30.0° below the horizontal as shown in the figure. Assume the floor is frictionless. (Enter your answers in joules.) m (a) Determine the work done on the bin by the applied force (the force on the bin exerted by the man). (b) Determine the work done on the bin by the normal force exerted by the floor. (c) Determine the work done on the bin by the gravitational force. (d) Determine the work done by the net force on the bin.