A 150g book is initially at rest on a table that has no friction. A force of 3.2 N is applied to the book which moves over a distance of 1.2 m. The table is 1.4m high. a) What is the work done by the force on the book? b) What is the final speed of the book? c) What is the final kinetic energy of the book? d) What is the gravitational potential energy of the book relative to the table?

Could you help with questions 2 and 3?

A small box with a mass of 0.05 kg is placed against a compressed spring that has K = 150 N/m. The box is on a frictionless surface inclined at 40 degrees. When the spring is released, the box travels a distance of 1.8m up the incline. a) What distance was the spring originally compressed? b) What was the kinetic energy of the box when it was 0.80m from its initial position? c) What was the velocity of the box at 0.80m from its initial position?

A large object moves to the right across a horizontal surface. The figure depicts five forces acting on the object, each with the same magnitude but exerted in different directions. For each one,  a) determine whether the work done is positive or negative. b) Students were asked to rank the work done by the forces with the greatest first. Here is what one student was thinking: “I know that since W=Fcos, the more the force pushes in the direction that the object moves, the more work done. So, I think that F1 does the most work, but I am not sure about F2 and F5. The angle for both is the same, but they are pointing in different directions. I know that the sign for vectors just means direction and not size, but I am not sure here.” How would you explain the meaning of the sign for Work? How would you Rank the Work done?

A crate is placed at the upper end of the 2.0 m long ramp that is inclined at 20° to the horizontal and allowed to slide down the ramp starting from rest. The crate has a mass of 150 KG and the coefficient of kinetic friction between the crate and then incline is 0.25. Draw a diagram showing all the forces acting on the crate. How much work is done by the gravity on the crate during the slide? How much work is done by friction during the slide? Use the work energy theorem to calculate the speed attained at the bottom of the ramp.Also,Which force does no work during the slide, and why?

. Calculate the potential energy of a 75 Kg boulder sitting at the edge of a cliff that is 210 meters from the ground (yf=0). b. If the boulder is suddenly pushed over the side of the cliff what is the velocity of the boulder when it is 50 meters from the ground?

Karen lifts a 10.0 kg box up from the ground to a height of 1.50 meters. He then lowers the box to 0.630 m above the ground. What is the change in potential energy of the box in Joules?  change in potential energy between final and inital height.

A 0.500-kg particle has a speed of 1.30 m/s at point A and kinetic energy of 7.00 J at point B. What is its kinetic energy at A? What is its speed at B? What is the net work done on the particle by external forces as it moves from A to B?

A 6.50 kg box slides 4) from the top of a ramp to the bottom at a constant speed, as shown in the diagram. constant v= 1.50 m/s h= 1.85 m 0= 28.2° a) How much work is done on the box by the frictional force? b) How much work is done on the box by gravity? c) How much work is done on the box by the normal force? d) What is the coefficient of kinetic friction between the box and the ramp?

Consider a mass m=81.6 kg sliding on a frictionless surface as shown in the figure below. It begins with a speed of vi = 1.81 m/s at a height of yi = 21.4 m above the ground. It then travels down one hill and up the next until it momentarily comes to rest with a speed vi = 0.  a) What is its kinetic energy of the mass at the start? b) What is its gravitational potential energy of the mass at the start?