Question

Question 5 15 marks You should be able to answer this question after studying Unit 10 A crate, initially at rest, is pushed along a straight line up a rough ramp that makes an angle of 18° with the horizontal. The magnitude of the pushing force is 33 N, in a direction parallel to and up the ramp, and the acceleration of the crate is 0.16 ms-2. The coefficient of sliding friction between the crate and the ramp is 0.35. Model the crate as a particle and take the magnitude of the acceleration due to gravity to be 9.8ms-2. Take the directions of the unit vectors i and j to be as shown in the diagram belovw crate 18° (a) State the four forces acting on the crate, and draw a force diagram. Label the forces clearly. (b) Find expressions for the component forms of the four forces, in terms of the mass m (in kg) of the crate and any unknown magnitude(s) where appropriate. 13 (c) Find the mass of the crate, in kg to two significant figures (d) Find the time (in s) that it takes to push the crate a distance of 3m up 13 the ramp. Give your answer to the nearest second

Answer 1

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