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?

Respuesta :

Answer:

826.17 watt

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

Answer:

[tex]power\ = 826.17 Watt[/tex]

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

[tex]power\ = F_p \times v[/tex]                        

[tex]power\ = F cos\theta\times v[/tex]                

[tex]power\ = 138 cos36^0\times 7.4[/tex]                

[tex]power\ = 826.17 Watt[/tex]                    

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