A person has a choice of either pushing or pulling a book of ice with a mass of 50kg at a constant velocity. Assuming a coefficient of friction on 0.2 and pushing or pulling at the angle depicted, calculate the applied force needed for situations (a) and (b).

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barackodam barackodam · Answer 1 · 2022-07-15T01:02:04+02:00

The applied force needed for situation a and b are 211. 31 Newton and 453. 15 Newton respectively.

We have that the force for situation 'a' is on an angle of inclination of 25° with the book of ice.

Thus,

Applied force = mg × sine of angle of inclination

Where mass, m = 50kg

g = acceleration due to gravity = 10m/s^2

Applied force = 50 × 10 × sin 25

Applied force = 50 × 10 × 0. 4226

Applied force = 211. 31 Newton

For situation 'b', the mass of block is adjacent to the book of ice, thus

Applied force = mg × cos of angle of inclination

Applied force = 50 × 10 × cos 25

Applied force = 50 × 10 × 0. 9063

Applied force = 453. 15 Newton

Thus, the applied force needed for situation a and b are 211. 31 Newton and 453. 15 Newton respectively.

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