A pallet stacked with bags of cement weighing a total of 5501 N must be pushed up a 2.30-m incline to a 75.0-cm high platform. What force, in Newtons, must be applied to get the job done?

Question

Mathematics

Mariam Lowery

22 February, 11:24

A pallet stacked with bags of cement weighing a total of 5501 N must be pushed up a 2.30-m incline to a 75.0-cm high platform. What force, in Newtons, must be applied to get the job done?

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Answers (1)

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Mara Ferguson · Answer 1

Assume that the incline is frictionless.

Refer to the diagram shown below.

Note that 75 cm = 0.75 m.

Therefore the angle of the incline is given by

sin (x) = 0.75/2.3 = 0.3261.

The weight pushed up the incline is W = 5501 N.

The component of the weight acting down the incline is

W*sin (x) = 5501*0.3261 = 1793.9 N

The force, F, should overcome this weight acting along the incline, therefore

F = 1794 N (nearest integer)

Answer: 1794 N