A box is held at the top niess ramp that has a length of 12 meters and is angled at 15° with respect to the horizontal. The box is then released from rest. (a) Draw a free body diagram of the box, labeling all forces acting on it. (b) Apply Newton's 2nd law to the block in the y direction to find a symbolic expression for the normal force. (c) Apply Newton's 2nd law to the block in the x direction to find a symbolic expression for the acceleration of the box. (d) Calculate the acceleration of the box, in m/s². (e) How long does it take the box to slide down to the bottom of the ramp, in seconds? (f) How fast is the box moving when it reaches the bottom of the ramp in m/s?

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5. A box is held at the top of a frictionless ramp that has a length of 12 meters and is angled at
15° with respect to the horizontal. The box is then released from rest.
(a) Draw a free body diagram of the box, labeling all forces acting on it.
(b) Apply Newton's 2nd law to the block in the y direction to find a symbolic expression
for the normal force.
(c) Apply Newton's 2nd law to the block in the x direction to find a symbolic expression
for the acceleration of the box.
(d) Calculate the acceleration of the box, in m/s².
(e) How long does it take the box to slide down to the bottom of the ramp, in seconds?
(f) How fast is the box moving when it reaches the bottom of the ramp in m/s?
"L.
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Transcribed Image Text:5. A box is held at the top of a frictionless ramp that has a length of 12 meters and is angled at 15° with respect to the horizontal. The box is then released from rest. (a) Draw a free body diagram of the box, labeling all forces acting on it. (b) Apply Newton's 2nd law to the block in the y direction to find a symbolic expression for the normal force. (c) Apply Newton's 2nd law to the block in the x direction to find a symbolic expression for the acceleration of the box. (d) Calculate the acceleration of the box, in m/s². (e) How long does it take the box to slide down to the bottom of the ramp, in seconds? (f) How fast is the box moving when it reaches the bottom of the ramp in m/s? "L. 0
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