starting a game of pinball, the 44.7 g ball rests on a spring, of spring constant k = 18.8 N/m, that has been compressed by 0.0900 m. If the spring is released, how far up the pinball table (which is inclined at 39.0°) does the ball go before rolling back down again? You can assume it doesn't hit any obstacles on the way up.

A 1 kg pendulum is held 2 meters above the ground and released. How fast is the pendulum traveling when it reaches it's lowest point? Assume the acceleration of gravity is 10 m/s^2.   Equation:         2.22 m/s     6.32 m/s     12 m/s      14.14 m/s

A block of mass 2.0 kg is attached to a spring whose spring constant is = 8 N/m. Theblock slides on an incline with θ = 37o. The block starts at rest with the spring unstretchedbefore sliding down a distance of 0.5 m down the incline. Assume that µk = 0.20.What is the velocity of the block as soon as it slides 0.5 m down the incline?

An ideal spring is attached to the ceiling. While the spring is held at its relaxed length, a wooden block (M = 850 g) is attached to the bottom of the spring, and a ball of clay (m = 210 g) is pressed onto the bottom of the block so that they stick together. The block+clay are gently lowered through a distance of d = 2.7 cm and are then released, at which point they hang motionlessly from the bottom of the spring. After a few minutes have passed, the clay unsticks itself from the block and falls from rest to the ground. 1. What is the resulting period T of the block’s oscillation after the separation occurs? 2. As d approaches 0, what limit does T approach?

Consider the track shown in the figure below.   Section AB is a quadrant of a circle of radius r = 2.00 m and is frictionless. From B to C is a horizontal section 3.0 m long with a coefficient of kinetic friction μk = 0.250.  The section CD under the spring is frictionless.   A block of mass m = 1.00 kg is released from rest at A. After sliding on the track, the block compresses 0.200 m the spring. Determine (using conservation of energy): (a) the speed of the block at point B.  (b) the thermal energy (internal energy) produced when the block slips from B to C.  (c) the velocity of the block at point C. (d) the stiffness constant k for the spring.

A .500kg block attached to a spring with length .60m and force constant 40.0 N/m, is at rest with the back of the block at point A on a frictionless horizontal air table. The mass of the spring is negligible. You move the block to the right along the surface by pulling with a constant 20.0 N horizontal force. when the back of the block reaches point B, you let go of the block. In the subsequent motion, how close does the block get to the wall where the left end of the spring is attached?

A block with mass m = 19.1 kg is pressed against a spring with spring constant 2.720E+3 N/m, compressing the spring a distance of 0.130 m. It is then released from rest, moves across a frictionless horizontal surface, down a frictionless hill (vertical height h = 8.24 m), and onto a horizontal surface with friction μk = 0.287. How far (in m) will the block slide across the horizontal frictional surface before coming to rest?

A 205 g object is attached to a spring that has a force constant of 76.5 N/m. The object is pulled 7.25 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Calculate the maximum speed vmax of the object. Umax = m/s Find the locations of the object when its velocity is one-third of the maximum speed. Treat the equilibrium position as zero, positions to the right as positive, and positions to the left as negative. position: cm position: cm

I need help solving the equations symbolically and I don't know how to get the m value for the first part.

An ideal spring has a constant 2500 N/m. An object is attached to the spring and stretched vertically 4 cm down. What are the magnitude and direction of the force exerted by the spring? 100 N up 62.5 N down 100 N down 62.5 N up