A spring gun has an elastic constant of k= 500 N/m. The gun is brought to the surface of the moon, and a 30 g projectile is shot to a height of 300 m above the end of the expanded spring. How much was the spring compressed initially? (Hint: the acceleration due to gravity on the moon's surface is about 1.62 m/s^2). Options for answers: a. 24 cm b. 31 cm c. 119 cm d. 12 cm

7. A small block of mass M = 450 g is placed on top of a larger block of mass 3M which is placed on a level frictionless surface and is attached to a horizontal spring of spring constant k = 2.8 N/m. The coefficient of static friction between the blocks is μ = 0.2. The lower block is pulled until the attached spring is stretched a distance D = 4.5 cm and released. part a: Assuming the blocks are stuck together, what is the maximum magnitude of acceleration amax of the blocks in terms of the variables in the problem statement? part b: calculate a value for the magnitude of the maximum acceleration amax of the blocks in meters per second. part c:  Write an equation for the largest spring constant kmax for which the upper block does not slip. part d: Calculate a value for the largest spring constant kmax for which the upper block does not slip, in N/m.

A block of mass 0.688 kilograms resting on a smooth horizontal surface is attached to a spring with a spring constant of 33.4 newtons per meter. The block is pulled horizontally 14.1 centimeters from its equilibrium position and released. a. What is the total mechanical energy of the system? Include units in your answer. b. What is the speed of the block when it is 9.0 centimeters from its equilibrium position? Include units in your answer. c. One end of the spring is then attached to a support so it hangs vertically, and the block is suspended from it and lowered into a resting position. How far does the block stretch the spring? Include units in your answer. d. As shown below, the block is then lifted 14.1 centimeters (labeled d in the figure) and released. What is the speed of the block when it is 9.0 centimeters from its equilibrium position (labeled y in the figure)? Include units in your answer. More information. Hint: Since the vertical position of the block is changing,…

A 10.0 g bullet is fired into and embeds itself in a 1.80 kg block attached to a spring with a spring constant of 21.5 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m

10 cm long spring, with a spring constant of 27 N/m, is used to reload the ball in a pinball machine. The spring is compressed by 4.0 cm by a mechanism in the machine and then let go. a. Calculate the elastic potential energy stored in the spring A new spring is fitted into the machine. It only needs to be compressed by 3.0 cm to store the same amount of elastic potential energy as the previus spring. b. Calculate the spring constant of this new spring The owner of the game wants to double the potential energy stored in this new spring. c. Calculate the compression of the spring needed in order to achieve this

A wooden box of mass 6.0 kg slides on a frictionless tabletop with a speed of 3.0 m/s. It is brought to rest by a compressing spring. The spring content is 1250 N/m. a. Calculate the maximum distance the spring is compressed. b. Determine the speed and acceleration of the block who the spring is compressed a distance of 14 cm.

A 79.2-kg climber is scaling the vertical wall of a mountain. His safety rope is made of a material that, when stretched, behaves like a spring with a spring constant of 1.30 x 103 N/m. He accidentally slips and falls freely for 0.570 m before the rope runs out of slack. How much is the rope stretched when it breaks his fall and momentarily brings him to rest? Number i Units

A 10.0 g bullet is fired into and embeds itself in a 2.30 kg block attached to a spring with a spring constant of 19.8 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m

A 10.0 g bullet is fired into and embeds itself in a 1.60 kg block attached to a spring with a spring constant of 21.9 N/m and whose mass is negligible. How far is the spring compressed if the bullet has a speed of 300 m/s just before it strikes the block, and the block slides on a frictionless surface? (Note: You must use conservation of momentum in this problem.) m