8. A 5.00 kg box is placed at the top of a ramp that is made by propping up a 3.00 m long board to make an angle of 22.0° with the horizontal. The edge of the board makes a smooth transition to the horizontal floor. Assume friction is negligible. a) What is the magnitude of the acceleration of the box while it is on the ramp? b) What is the magnitude of normal force on the box while on the ramp? c) How long will it take the box to reach the end of the ramp?

Physics for Scientists and Engineers, Technology Update (No access codes included)
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Author:Raymond A. Serway, John W. Jewett
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Chapter6: Circular Motion And Other Applications Of Newton’s Laws
Section: Chapter Questions
Problem 6.21P: All object of mass m = 500 kg is suspended from the ceiling of an accelerating truck as shown in...
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8. A 5.00 kg box is placed at the top of a ramp that is made by propping up a 3.00 m long board to
make an angle of 22.0° with the horizontal. The edge of the board makes a smooth transition to the
horizontal floor. Assume friction is negligible.
a) What is the magnitude of the acceleration of the box while it is on the ramp?
b) What is the magnitude of normal force on the box while on the ramp?
c) How long will it take the box to reach the end of the ramp?
d) Once the box reaches the end of the ramp, it slides along the horizontal floor. What is the magnitude
of the acceleration of the box while it is on the floor?
e) What is the magnitude of normal force on the box while on the floor?
f) How long will it take the box to slide 10.0 m along the floor?
g) If there was friction in this system, how would you expect your answers in (a) – (f) to change? Circle
one.
Answer to a:
increase
decrease
remain the same
Answer to b:
increase
decrease
remain the same
Answer to c:
increase
decrease
remain the same
Answer to d:
increase
decrease
remain the same
Answer to e:
increase
decrease
remain the same
Answer to f:
increase
decrease
remain the same
Transcribed Image Text:8. A 5.00 kg box is placed at the top of a ramp that is made by propping up a 3.00 m long board to make an angle of 22.0° with the horizontal. The edge of the board makes a smooth transition to the horizontal floor. Assume friction is negligible. a) What is the magnitude of the acceleration of the box while it is on the ramp? b) What is the magnitude of normal force on the box while on the ramp? c) How long will it take the box to reach the end of the ramp? d) Once the box reaches the end of the ramp, it slides along the horizontal floor. What is the magnitude of the acceleration of the box while it is on the floor? e) What is the magnitude of normal force on the box while on the floor? f) How long will it take the box to slide 10.0 m along the floor? g) If there was friction in this system, how would you expect your answers in (a) – (f) to change? Circle one. Answer to a: increase decrease remain the same Answer to b: increase decrease remain the same Answer to c: increase decrease remain the same Answer to d: increase decrease remain the same Answer to e: increase decrease remain the same Answer to f: increase decrease remain the same
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