There is a 1.3 kg box moving along a horizontal frictionless floor with a velocity of 5.0 m/s. After traveling 2.0 meters it presses against a spring with spring constant 12.5 N/m. By how much will the spring be compressed when the block is at rest? a) How much energy does the system have initially? b) By how much will the spring be compressed when the block is at rest c) If instead of a frictionless surface, a section of the (0.5 meters) floor was replaced by a rougher surface that resulted in a coefficient of friction of 0.3 between the box and the surface. How much work would be done on the block when it travels over this rough surface?

A block with a mass of 2.0 kg is held against a spring with a spring constant 250 N/m. The block compresses the spring 22 cm from the equilibrium position. After the block is released, it travels along a frictionless surface and then up a ramp, μ= 0.25 The ramp’s inclination is 30° as shown below. a) Determine the elastic potential energy stored in the spring before the mass is released. b)Calculate the speed of the block as it travels along the horizontal surface. c) Determine how far along the ramp the block will travel before it stops?

1. A spring is used to stop a 50-kg package that is moving down a 20° incline. The spring has a constant k = 300 N/cm, and is held by cables so that it is initially compressed 5 cm. If the package is moving at 2 m/s when it is 8 m from contacting the spring, what additional deflection in the spring will be required to stop the motion. 2 m/s 50 kg Cable HiiN 20°

A 20 kg pulley with a 0.5 m radius is initially at rest. The rotational inertia of the pulley is 0.47 mr2. A 10 kg box hangs from a rope that is wrapped around the pulley that is also initially at rest. The box falls a set distance and gains a velocity of 8 m/s. Calculate the distance that the box fell to reach that velocity.

1. A 25kg boy is riding a merry-go-round with a radius of 5m. What is the centripetal force on the boy if his velocity is 6 m/s?

According to the following figure, A) Make the free-body diagram including all the forces acting on you and the bicycle at the time of descent. Define each of them. B) Argue for which cases you have jobs equal to zero according to your free-body diagram from part (A)

(b) An electric motor lifts a mass of 500 kg from the ground to a height of 30 m in 1.5 minutes. Calculate the motor's output power during operation. The gravitational acceleration, g, is 9.81 m. s-².

360 N marine in basic training climbs a 15 m vertical rope at uniform speed in 8 minutes. His output power

An inextensible massless string goes over a frictionless pulley. Two weights of 100 N and 200 N are attached to the two ends of the string. The weights are released from rest, ad start moving due to gravity. The tension in the string (in N) is | 200 N 100 N