A block with mass m = 0.10 kg is released from rest at point y = 1.0 m and slides down along a frictionless track, its speed in (m/s) at the end of the track is:

Say we have a mass, m, situated at a height, h, above an ideal spring with force constant k.  The mass is dropped vertically onto the spring. Derive an expression for the compression of the spring from equilibrium (x) as a function of m, k, and h. By what factor is the compression changed if the mass is dropped from a height of 3h? What is the speed of the mass just as it contacts the spring?

A 8kg crate, starting from rest, is pulled across a floor with a constant horizontal force of 230N. For the first 13 m the floor is frictionless and for the next 14m, the coefficient of friction is 0.3. What is the final speed of the crate in m/s?

The figure shows a pendulum of length L = 1.6 m. Its bob (which effectively has all the mass) has speed vo when the cord makes an angle 0o = 50° with the vertical. (a) What is the speed of the bob when it is in its lowest position if vo = 5.1 m/s? What is the least value that vo can have if the pendulum is to swing down and then up (b) to a horizontal position, and (c) to a vertical position with the cord remaining straight? (d) Do the answers to (b) and (c) increase, decrease, or remain the same if is increased by a few degrees? 00 L Vo 120

a girl and her bicycle have a total mass of 60kg. at the top of the hill her speed is 5.0m/s. The hill is 5.0 m high and 100 m long. If the force of friction as she rides down the hill is 20N, what is her speed at the bottom?

.  An electron in a television tube is accelerated uniformly from rest to a speed of 8.4×107m/s over a distance of 2.5 cm. What is the power delivered to the electron at the instant that its displacement is 1.0 cm?

A 1400 kg car delivers a constant 42 hp to the drive wheels. We assume the car is traveling on a level road and that all frictional forces may be ignored.Calculate the car's acceleration when its speed is 20 m/s

A mass of 10.0 kg is attached to a spring on a frictionless horizontal surface. The spring constant k = 504 Newtons/meters. The spring is stretched until the Potential Energy of the spring is 2.52 Joules. What is the displacement ( in meters) in the spring?

A pendulum, 2.0 m in length, is released with a push when the string is at an angle of 25 o from the vertical. If the initial speed of the pendulum is 1.2 m/s, what is its speed at the bottom of the swing?

A 1.50-kg block at rest on a ramp of height h. When the block is released, it slides without friction to the bottom of the ramp, and then continues across a surface that is frictionless except for a rough patch of width 10.0 cm that has a coefficient of kinetic friction µk = 0.60. Using conservation of energy, find h such that the block’s speed after crossing the rough patch is 3.50 m/s.