Mechanics | Relativity Answers

A 46.0-kg penguin on frictionless ice holds onto the end of a horizontal spring with spring constant 170 N/m and oscillates back and forth. What is its period of oscillation? Answer in seconds.

A 0.683 kg mass moves in SHM at the end of a spring. It takes 1.41 s to move from the position with the spring fully extended to the position with the spring fully compressed. What is the spring constant? Answer in newtons per meter.

A block with mass 0.55 kg on a frictionless surface is attached to a spring with spring constant 39 N/m. The block is pulled from the equilibrium position and released. What is the period of the system?

An object of mass 43.0 kg is suspended by a rope from a vertical spring, as in the figure. The spring constant is 770 N/m. Find the displacement of the end of the spring from its rest position (with its sign). Answer in meters.

When the end of a spring is displaced from its rest position by 8.5 cm, the spring’s restoring force has a magnitude of 4.4 N. What is the spring constant? Answer in Newtons/meter.

A spring exerts a restoring force of 2.8 N to the right, in the positive x-direction. The spring constant is 7.3 N/m. Find the displacement of the end of the spring (with its sign). Answer in meters.

A spring with spring constant 26 N/m is stretched 0.29 m in the positive x direction, referring to the figure. What is the spring’s restoring force (with its sign)? Answer in Newtons.

A man steps on his bathroom scale and obtains a reading of 243 lb. The spring in the scale is compressed by a displacement of -0.0480 inches. Calculate the value of its spring constant in (a) pounds per inch (b) newtons per meter.

Consider a large spring, hanging vertically, with spring constant k = 3220 N/m. If the spring is stretched 25.0 cm from equilibrium and a block is attached to the end, the block stays still, neither accelerating upward nor downward. What is the mass of the block?
answer should be in kg.

A 44-kg penguin stands on ice. A helium balloon is attached to the penguin by means of a harness and pulls upward with a force of 76 N. What is the normal force of the ice on the penguin?