Q88 · Practice questionComplex familiar5 marks
QUESTION 88 (5 marks)
A block is on a smooth plane inclined at to the horizontal. A force acts at above the plane in the uphill direction. Take .
a)[3 marks]
Determine the acceleration of the block along the plane.
b)[2 marks]
If the block starts from rest, determine the distance travelled along the plane in the first 3 s.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
(a) uphill; (b) .
Worked solution
(a) Taking uphill as positive, the net force along the plane is . Therefore uphill.
(b) With constant acceleration and initial speed zero,
Resolves forces along the plane.
Applies Newton’s second law.
Determines acceleration.
Uses the constant-acceleration relation.
Determines distance.
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