Question

Consider helping a friend move. They have a box with a mass of 100 kg that you are pushing along the ground by applying a force directed 30 degrees below the horizontal, as shown in the figure below: 30° There is friction force of 50 N acting between the box and floor. You ramp up the force linearly, from 100 N to 225 N, over the first metre of motion, and then maintain a steady force of 250 N, so that $F_{Applied}(x) = \begin{cases} 125 \frac{x}{1m} N + 100 \text{ N} & 0 \text{ m} < x < 1 \text{ m} \\ 225 \text{ N} & x \ge 1 \text{ m} \end{cases}$ a) Calculate the magnitude of the work done by you as you push the box 3 m. (5 marks) b) Calculate the magnitude of the work done by friction as you push the box 3 m. (2 marks) c) How fast is the box moving after it has been pushed 3 m (assuming it started from rest)? (3 marks)

          Consider helping a friend move. They have a box with a mass of 100 kg that you are pushing along the ground by applying a force directed 30 degrees below the horizontal, as shown in the figure below:

30°

There is friction force of 50 N acting between the box and floor. You ramp up the force linearly, from 100 N to 225 N, over the first metre of motion, and then maintain a steady force of 250 N, so that
$F_{Applied}(x) = \begin{cases} 125 \frac{x}{1m} N + 100 \text{ N} & 0 \text{ m} < x < 1 \text{ m} \\ 225 \text{ N} & x \ge 1 \text{ m} \end{cases}$
a) Calculate the magnitude of the work done by you as you push the box 3 m. (5 marks)
b) Calculate the magnitude of the work done by friction as you push the box 3 m. (2 marks)
c) How fast is the box moving after it has been pushed 3 m (assuming it started from rest)? (3 marks)

Consider helping a friend move. They have a box with a mass of 100 kg that you are pushing along the ground by applying a force directed 30 degrees below the horizontal, as shown in the figure below:

30°

There is friction force of 50 N acting between the box and floor. You ramp up the force linearly, from 100 N to 225 N, over the first metre of motion, and then maintain a steady force of 250 N, so that
FApplied(x) = 125 (x)/(1m) N + 100 N 0 m < x < 1 m
225 N x ≥ 1 m
a) Calculate the magnitude of the work done by you as you push the box 3 m. (5 marks)
b) Calculate the magnitude of the work done by friction as you push the box 3 m. (2 marks)
c) How fast is the box moving after it has been pushed 3 m (assuming it started from rest)? (3 marks)

Added by Amber M.

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