An 7.5 kg crate is pulled 5.3 m up a 30° incline by a rope angled 16 ° above the incline. The tension in the rope is 110N and the crate's coefficient of kinetic friction on the incline is 0.27. Part A You may want to review (Pages 222 - 223). How much work is done by tension, by gravity, and by the normal force? For help with math skills, you may want to review: Express your answers using two significant figures. Enter your answers numerically separated by commas. The Vector Dot Product • View Available Hint(s) Wr, Wg, Wn = J Submit Part B What is the increase in thermal energy of the crate and incline? Express your answer using two significant figures.

A crate with mass m = 33.3 kg being pushed up an incline that makes an angle φ = 22.7 degrees with horizontal. The pushing force is horizontal, with magnitude P, and the coefficient of kinetic friction between the crate and the incline is μ = 0.358. Consider the work done on the crate as it moves a distance d = 5.32 m at constant speed. a. What is work done by the pushing force, in joules?  b. What is the work done by friction, in joules?  c. What is the work done by gravity, in joules?  d. What is the net work, in joules?

Ayoung woman on a skateboard is pulled by a rope attached to a bicycle. The velocity of the skateboarder is v = (4.6 m/s )ê and the force exerted on her by the rope is F = (17 N)â + (12 N)ỹ. Part A Find the work done on the skateboarder by the rope in 25 seconds. Express your answer using two significant figures. ? W = J Submit Previous Answers Request Answer X Incorrect; Try Again; 5 attempts remaining Review your calculations and make sure you round to 2 significant figures in the last step. Part B Assuming the velocity of the bike is the same as that of the skateboarder, find the work the rope does on the bicycle in 25 seconds. Express your answer using two significant figures. Πνα ΑΣφ ? W = J

Part A How much work must you do to push a 13 kg block of steel across a steel table at a steady speed of 1.3 m/s for 5.4 s? The coefficient of kinetic friction for steel on steel is 0.60. Express your answer in joules. %3D push = J Submit Request Answer Part B What is your power output while doing so? Express your answer in watts. ΑΣφ P = W %3D Submit Request Answer Next >

A 23.3-kg child descends a slide 3.4 m high and reaches the bottom with a speed of 1.9 m/s. Part A How much thermal energy due to friction was generated in this process? Express your answer using two significant figures.

a In the figure, a constant force Ễ of magnitude 85.0 N is applied to a 7.0 kg shoe box at angle = 54.0°, causing the box to move up a frictionless ramp at constant speed. How much work is done on the box by Fa when the box has moved through vertical distance h = 0.35 m? а Use correct number of significant digits. The tolerance is + 1 in the 3rd significant digit. Number i 42.02 ! Units J

Part A What is the minimum work needed to push a 900-kg car 860 m up along a 9.5° incline? Ignore friction. Express your answer with the appropriate units. WP = µÅ Value Units ?

A force F is applied to a 2.0 kg, radio-controlled model car parallel to the x-axis as it moves along a straight track. The x-component of the force varies with the x-coordinate of the car as shown in the figure (Figure 1). Part A Calculate the work done by the force F when the car moves from x = 0 to x = 3.0 m. Express your answer with the appropriate units. Wo-3.0 = Value Units Figure 1 of 1 Part B F, (N) Calculate the work done by the force F when the car moves from x = 3.0 m to x = 4.0 m. 2 Express your answer with the appropriate units. 1 x (m) ? 1 2 3 4 5 -1 W3.0–4.0 = Value Units -2

Consider the following physical situations. Identify the forces which do work upon the indicated object (in boldface type) and categorize them as conservative or non-conservative forces. Then indicate whether the total mechanical energy of the object changes; it it changes, then indicate whether the change is a positive or negative change. Finally, indicate whether the potential energy and the kinetic energy changes; if PE or KE changes, then indicate whether the change is a positive or negative change. Description of Physical Situation Identity of Forces Which Do Work: Change in TME Change in PE Change in KE Conserv. Non- Conserv. Yes (+ or -) No Yes (+ or -) No Yes (+ or -) No a. A force is applied to move a physics cart from the floor to the top of an inclined plane at a constant speed. _________ _________ _____ _____ _____ _____ _____ _____ b. A physics student scurries up a flight of stairs at constant speed. _________ _________ _____ _____ _____ _____ _____…

A process occurs in which a system's potential energy decreases while the system does work on the environment. Does the system's kinetic energy increase, decrease, or stay the same? Or is there not enough information to tell? Explain. Match the words in the left column to the appropriate blanks in the sentences on the right. positive negative zero unknown ‒‒‒‒‒‒‒‒‒‒ only the potential energy does the work the system does work on the environment Submit the mechanical energy does not change the change in potential energy may be greater as well as less than the work the system does on the environment the body cannot do more work than the change of its potential energy Request Answer The change in kinetic energy is because Reset Help