Please Note: It may not always be possible to include the necessary special characters, superscripts, subscripts, etc. in e-mail responses to this group of exercises. We suggest that you discuss this matter with your professor/class and decide upon a system for indicating such characters. You may cut/paste some characters and/or Greek letters from Microsoft Word, using the Insert menu. Alternatively, we suggest that you agree upon abbreviations for or spell out symbols, Greek letters, or characters and indicate superscripts and subscripts by using "sup", "sub", or up/down carats.

Fe = 100 N F = 150 N L = 10.0 m θ = 30.0° μ = 0.100 g = 9.80 m/s2

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Determine the following:

1		Normal force acting on the crate Need a Hint?
2		Force of friction acting on the crate Need a Hint?
3		Work done by gravity Need a Hint?
4		Work done by friction Need a Hint?
5		Work done by the normal force Need a Hint?
6		Work done by the applied force Need a Hint?
7		Net work done on the crate, using your answers to questions 3, 4, 5, and 6 Need a Hint?
8		Net force acting on the crate Need a Hint?
9		Net work done on the crate, using your answer to question 8 Need a Hint?
10		Change in kinetic energy of the crate Need a Hint?
11		Speed of the crate after 10.0 m Need a Hint?
12		Acceleration of the crate up the ramp Need a Hint?
13		Time it takes the crate to travel 10.0 m up the ramp Need a Hint?
14		Average power delivered to the crate by the applied force Need a Hint?

A 1.00 x 10³ N crate (initially at rest) is sitting at position A, as shown in the figure below. You push the crate from A to B with a constant 400 N force. At B you release the crate, and it slides down the incline and across the horizontal section until it stops. Let's agree to choose zero gravitational potential energy at the level of the horizontal section. The coefficient of kinetic friction for all surfaces is μ_k = 0.100.

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15		The gravitational potential energy at position A. Need a Hint?
16		The work done on the crate by you as you push it from A to B. Need a Hint?
17		The work done on the crate by gravity as you push it from A to B. Need a Hint?
18		The change in gravitational potential energy as you push the crate from A to B. Need a Hint?
19		The work done on the crate by friction as you push it from A to B. Need a Hint?
20		The net work done on the crate as you push it from A to B. Need a Hint?
21		The change in kinetic energy of the crate as you push it from A to B. Need a Hint?
22		The speed of the crate as it passes B. Need a Hint?
23		The total energy of the crate at B. Need a Hint?
24		The work done on the crate by gravity as it slides down the incline. Need a Hint?
25		The change in gravitational potential energy of the crate as it slides down the incline. Need a Hint?
26		The work done on the crate by friction as it slides down the incline. Need a Hint?
27		The net work done on the crate as it slides down the incline. Need a Hint?
28		The change in kinetic energy of the crate as it slides down the incline. Need a Hint?
29		The kinetic energy of the crate at C. Need a Hint?
30		The decelerating force acting on the crate as it slides across the final horizontal section. Need a Hint?
31		The deceleration of the crate as it slides across the final horizontal section. Need a Hint?
32		The distance the crate slides along the final horizontal section before coming to rest. Need a Hint?