A 20-N crate starting at rest slides down a rough 5.0-m long ramp, inclined at 25° with the horizontal. 20 J of energy is lost to friction. What will be the speed of the crate at the bottom of the incline?

In the figure below an object of mass m starts from rest on a roller coaster with negligible friction. A hA B hB C hc Ꭰ hp (a) What terms are present in the object's mechanical energy? Choose from E O Gravitational potential energy, Spring potential energy, Kinetic energy, Work done against friction O Gravitational potential energy, Spring potential energy, Kinetic energy Spring potential energy, Kinetic energy, Work done against friction, Gravitational potential energy, Kinetic energy because, there is no friction (b) Mechanical energy is conserved Only conservative forces ◆ act. (c) Calculate the speed of the object at point D (VD) in terms of the following variables: (g, ha, hD)

A horizontal spring is stretched 10 cm and then released from rest. Will the spring ever stretch a distance greater than 10 cm? Explain why or why not using the idea of energy conservation.

At Schlitterbahn, a 75.0 kg person rides a 12.0 m high water slide. If dissipative forces do -6250 J on the rider as they go from rest at the top of the ride to the bottom, then what is the speed of the rider at the bottom of the slide? Include a diagram of the situation and indicate the mechanical energy at both the top and at the bottom of the slide.

I drive a Nissan Leaf to work. With the e-pedal on, the motor recovers energy through braking very aggressively. I need about 7 KW-hour to come to school if I use mostly the freeways. That’s about 5 KW-hour if I take mostly local streets. From the energy perspective, can you offer an explanation to explain this difference?

5000 kg dump truck has a maximum 400 hp (1 hp= 746 W), and it is moving up on an inclined road witha slope of 15 degrees. If the frictional coefficient on the road is 0.80, what is the max constant speed that thetrucker can maintain on the inclined?

do on the shopping cart? W -107.5 J 2. You apply a force of 1.5 N at an angle of 34° from the vertical on a block that is sitting on a friction-less table. The force you apply causes the block to slide across the table for 1 m. How much work did you do to move the block? 0.84 J 3. An 8.5 kg package in a mail sorting room slides 20 mdown a chute that

3

= 7.50 m. The figure below shows a box with a mass of m = 7.10 kg that starts from rest at point A and slides on a track with negligible friction. Point A is at a height of ha A MET 3.20 m 2.00 m m ha (a) What is the box's speed at point B (in m/s)? m/s What is the box's speed at point C (in m/s)? m/s (b) What is the net work (in J) done by the gravitational force on the box as it moves from point A to point C?

A 58 kg skier is coasting up the hill shown below with speed vi = 10 m/s. ΚΕ Number m/s. Figure 7.37 The skier's initial kinetic energy is partially used in coasting to the top of a rise. What is the final speed on top of the rise assuming that there is no friction acting? 35° m. V = ? Instead, assume that friction acts only on the straight line part of the rise and that the coefficient of friction is 0.24. 2.5 m What is the length of the straight line part of the rise? Number N. What is the normal force acting on skier during the straight line part of the rise? Number m/s. What is the final speed on top of the rise assuming that friction acts only during the straight line part? Number