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A box is released from rest at the top of a flat rough slope of length 20 metres that is inclined at an angle of 35° to the horizontal. It slides under gravity to the bottom of the slope. The coefficient of sliding friction between the box and the slope is 0.17. Take the magnitude of the acceleration due to gravity to be g = 9.8ms-2. Model the box as a particle. j 20 m 35% (a) State the three forces acting on the box during its motion, and draw a force diagram representing these forces, labelling them clearly. (b) Find expressions for the component forms of the three forces, in terms of the mass m (in kg) of the box and any unknown magnitude(s) where appropriate. In doing this, take the Cartesian unit vectors i and j to point parallel and perpendicular to the slope in the directions shown above. (c) Hence or otherwise find the magnitude of the acceleration of the

A box is released from rest at the top of a flat rough slope of length 20 metres that is inclined at an angle of 35° to the horizontal. It slides under gravity to the bottom of the slope. The coefficient of sliding friction between the box and the slope is 0.17. Take the magnitude of the acceleration due to gravity to be g = 9.8ms-2. Model the box as a particle. j 20 m 35% (a) State the three forces acting on the box during its motion, and draw a force diagram representing these forces, labelling them clearly. (b) Find expressions for the component forms of the three forces, in terms of the mass m (in kg) of the box and any unknown magnitude(s) where appropriate. In doing this, take the Cartesian unit vectors i and j to point parallel and perpendicular to the slope in the directions shown above. (c) Hence or otherwise find the magnitude of the acceleration of the

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A box is released from rest at the top of a flat rough slope of length 20 metres that is inclined at an angle of 35° to the horizontal. It slides under gravity to the bottom of the slope. The coefficient of sliding friction between the box and the slope is 0.17. Take the magnitude of the acceleration due to gravity to be g = 9.8 ms-2. Model the box as a particle. j 20 m i 35° (a) State the three forces acting on the box during its motion, and draw a force diagram representing these forces, labelling them clearly. (b) Find expressions for the component forms of the three forces, in terms of the mass m (in kg) of the box and any unknown magnitude(s) where appropriate. In doing this, take the Cartesian unit vectors i and j to point parallel and perpendicular to the slope in the directions shown above. (c) Hence or otherwise find the magnitude of the acceleration of the box, in ms-2 to two significant figures. (d) Find the time that the box takes to reach the bottom of the slope, in seconds to two significant figures.
Transcribed Image Text:A box is released from rest at the top of a flat rough slope of length 20 metres that is inclined at an angle of 35° to the horizontal. It slides under gravity to the bottom of the slope. The coefficient of sliding friction between the box and the slope is 0.17. Take the magnitude of the acceleration due to gravity to be g = 9.8 ms-2. Model the box as a particle. j 20 m i 35° (a) State the three forces acting on the box during its motion, and draw a force diagram representing these forces, labelling them clearly. (b) Find expressions for the component forms of the three forces, in terms of the mass m (in kg) of the box and any unknown magnitude(s) where appropriate. In doing this, take the Cartesian unit vectors i and j to point parallel and perpendicular to the slope in the directions shown above. (c) Hence or otherwise find the magnitude of the acceleration of the box, in ms-2 to two significant figures. (d) Find the time that the box takes to reach the bottom of the slope, in seconds to two significant figures.
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