A simple pendulum is released from rest when the mass is 33.1 cm above its lowest point. What is the speed of the suspended mass at the bottom of its swing? g= 9.80 m/s2 and ignore air restistance. No mass was given.

A pitcher bestows a power of P = 206 W to a baseball of mass m = 0.095 kg for a period of t = 0.28 s. What is the ball's speed in m/s when it leaves his hand?

A spring with spring constant k and equilibrium length zero is attached tothe top of a frictionless hoop of radius R. The spring is stretched and connected to a bead of mass m at the bottom of the hoop. At t = 0 the bead is given an initial speed v0 and the bead moves up the hoop. Find the speed of the bead as a function of position on hoop v(θ).

A 14,000 N car starts from rest and rolls down a hill from a height of 10.0 m (see figure). It then moves across a level surface and collides with a light spring-loaded guardrail. (a) Neglecting any losses due to friction, and ignoring the rotational kinetic energy of the wheels, find the maximum distance the spring is compressed. Assume a spring constant of 1.6 x 106 N/m.  ____m(b) Calculate the magnitude of the maximum acceleration of the car after contact with the spring, assuming no frictional losses. ____ m/s2(c) If the spring is compressed by only 0.30 m, find the change in the mechanical energy due to friction._____ J

A mass m = 0.55 kg is pushed against a spring with spring constant k and held in place with a catch. The spring compresses a distance x = 0.22 m. When the catch is removed, the mass leaves the spring and slides along a frictionless circular loop of radius R = 0.20 m. When the mass reaches the top of the loop, the normal force is equal to three times the weight of the mass. (a) What is the velocity of the mass at point A? (b) What are the magnitude and direction of the net force at point A?

A 2 kg Box slides down an inclined plane. It has an incline of 1.09956 radians and coefficient of kinetic friction of 0.49. What is the final speed of the Box if it started at rest and the change in height is 2.4 m?

A 0.20-kg mass is attached to a string and then released from rest, swinging in an arc as a pendulum. At the bottom of it swing, where it is 0.80 m above the floor, the string is cut and the mass becomes a projectile. It stricks the floor 0.56 meters (horizontally) from the point it was cut. From what height was the mass originally released?

A vertically mounted spring (k = 650 N/m) is compressed by 24.0 cm relative to its unstrained length. A mass (m = 0.28 kg) is placed at rest against the spring. When the spring is released, the mass is launched vertically in the air. What is the speed of the mass (m) when it passes by a point located 2.27 m above the release point?

Suppose that a simple pendulum consists of a small 76 g bob at the end of a cord of negligible mass. If the angle between the cord and the vertical is given by 0 = (0.056 rad) cos[(9.3 rad/s) t+ o], what are (a) the pendulum's length and (b) its maximum kinetic energy? (a) Number (b) Number i Units Units

A spring with spring constant k = 190 N/m is suspended vertically with its upper end fixed to the ceiling and its lower end at position y = 0. A block of weight 21 N is attached to the lower end, held still for a moment, and then released. If K = the kinetic energy, ΔUg = the change (from the initial value) in the gravitational potential energy, and ΔUe = the change in the elastic potential energy... What are (j)K, (k) ΔUg, and (l) ΔUe when y = –20 cm?