- One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a) Calculate the force constant of its plunger's spring if you must compress it 0.16 m to drive the 0.054 kg plunger to a top speed of 11 m/s. k= N/m (b) What is the magnitude of force that must be exerted to compress the spring? Neglect any dissipative forces.

A block sitting on a frictionless surface is attached to a spring of spring constant k. The other end of the spring is attached to the wall. The equilibrium length of the spring is x1. The spring is first compressed to a distance of x2, then released and extended to a length of x3. The elastic potential energy stored in the spring when it is extended to x3 can be calculated as: х, wwWO wwWO A block oscillating on the end of a spring Pick the correct answer PE = }ka? PE = }k(x3 – x2)² PE = 서(z3-z) PE = }k(x3 – x1)² PE = }k(x} – a})

A 5.0 kg block initially compresses a spring constant of 1650 N/m over a certain distance. After its release, the block attains a speed of 25.0 m/s as it passes the equilibrium posi tion of the spring. By how much is the spring initially compressed? O 1.89 m O 0.28 m 4.54 m 1.38 m

A 2.8 kg box is sliding along a frictionless horizontal surface with a speed of 1.8 m/s when it encounters a spring. (a) Determine the force constant (in N/m) of the spring, if the box compresses the spring 7.5 cm before coming to rest. (b) Determine the initial speed (in m/s) the box would need in order to compress the spring by 1.4 cm.