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A 13.0-kg box starts at rest and slides 3.5 m down a ramp inclined at an angle of 10° with the horizontal.If there is no friction between the ramp surface and crate,what is the velocity of the crate at the bottom of the ramp? (g = 9.8 m/s2)


A) 11.91 m/s
B) 3.45 m/s
C) 8.28 m/s
D) 8.22 m/s
E) ​68.6 m/s

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Is it possible for the total mechanical energy of a moving particle to be negative?


A) No,because a moving particle has positive kinetic energy.
B) No,because potential energy cannot have a value more negative than the value of the positive kinetic energy of the particle.
C) Only if friction is involved.
D) yes

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A 20.0-kg crate,initially at rest,slides down a ramp 2.0 m long and inclined at an angle of 20° with the horizontal.If there is no friction between ramp surface and crate,what is the kinetic energy of the crate at the bottom of the ramp? (g = 9.8 m/s2)


A) 368 J
B) 392 J
C) 268J
D) 134 J
E) ​67 J

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A 50.0-kg (including the passenger) sled is subject to a net force of 10.0 N pushing in the direction of the sled's motion as it is moving over a horizontal surface for a distance of 10.0 m after having started from rest.At this point the sled is released as it starts down a 10.0° incline.However,the snow is not very deep,and the sled stops after having moved an additional 25.0 m.What is the work done by friction while the sled is on the incline?


A) -2170.6 J
B) -2270.6 J
C) -2070.6 J
D) -12410.1 J
E) ​-12210.1 J

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