A spring on Earth has a 0.500 kg mass suspended from one end and the mass is displaced by 0.3 m. What will the displacement of the same mass on the same spring be on the Moon, where the acceleration due to gravity is one sixth that of Earth? Show your work.

A diver with a mass of 70.0 kg jumps from a dock into a 230.0 kg boat at rest on the west side of the dock. If the velocity of the diver in the air is 2.40 m/s to the west, what is the final velocity of the diver after landing in the boat? Show your work. (a) 0.73 m/s to the east (b) 0.56 m/s to the east (c) 0.73 m/s to the west (d) 0.56 m/s to the west

please show all your work

A toy uses a spring to launch projectiles. If the spring has a spring constant of 80 N/m and is compressed a distance of 0.04m, how high in the air could it launch a 0.003-kilogram projectile? Show your work.

Note: The answer should be typed.

A tie of uniform width is laid out on a table, with a fraction of its length hanging over the edge. Initially, the tie is at rest. (a) If the fraction hanging from the table is increased, the tie eventually slides to the ground. Explain. (b) What is the coefficient of static friction between the tie and the table if the tie begins to slide when one-fourth of its length hangs over the edge? Show your work and explain.

Jill of the Jungle swings on a vine 6.9 m long. What is the tension in the vine if Jill, whose mass is 63 kg, is moving at 2.4 m/s when the vine is vertical? Show your work and explain.

A toy rocket operates by having a spring-loaded tube which ejects a small model rocket when released. The spring inside has a spring constant k = 625N/m, the rocket has a mass of 0.100 kg, and the maximum compression of the spring is 0.18 m.  At t2 when the rocket leaves the launcher, what is the speed of the rocket at this moment? show your work At t3 the rocket reaches the peak of its flight. What is the height at this point? Show your work

This question is a short free-response question. Show your work for each part of the question. A person pushes a large block on a horizontal ice surface in a straight line to the right with constant speed, as shown above. The mass of the block is 10kg and frictional forces between the block and the ice are negligible. However, the block has a wide cross-sectional area such that air resistance acting on the block cannot be neglected. The opposite is true for the person: air resistance on the person is negligible, but the person’s shoes do not slip on the ice. The table shows the force exerted by the person on the block for several values of constant speed. (a) A student claims that the data show that the magnitude of the force of air resistance is proportional to the speed of the object, within experimental uncertainty. Use physics principles to explain whether the claim is correct.  (b) As the person pushes the block, the person moves with the same constant speed as the block. Consider…