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A 161-kg block is pulled at a constant speed of 7.40 m/s across a horizontal floor by an applied force of 138 N directed 36° above the horizontal. What is the rate at which the force does work on the block?

User Herick
by
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2 Answers

6 votes

Answer:


power\ = 826.17 Watt

Step-by-step explanation:

given,

mass of the block = 161 kg

speed of the block = 7.4 m/s

force applied = 138 N

at an angle of = 36°

Rate of change of force is equal to work on the block is power


power\ = F_p * v


power\ = F cos\theta* v


power\ = 138 cos36^0* 7.4


power\ = 826.17 Watt

the rate at which the force does work on the block is equal to 826.17 Watt

User Alex Mantaut
by
5.0k points
3 votes

Answer:

826.17 watt

Step-by-step explanation:

The rate of doing work is defined as the power.

Power is the ratio of work done to the time taken.

It is a scalar quantity and its SI unit is watt.

mass, m = 161 kg

v 7.4 m/s

F = 138 N

Ф = 36°

Power,

P = F x v x CosФ

P = 138 x 7.4 x Cos 36

P = 826.17 watt

User John Flinchbaugh
by
5.6k points