1. If you exert a force of 10.0 N to lift a box a distance of 0.9 m, how much work have you done?

0.1 J

9.0 J

10.9 J

90.0 J

  1. The power of a machine measures

its rate of doing work.

its strength.

the force it produces.

the work it does.

  1. If you exert a force of 700 N to walk 6 m up a flight of stairs in 6 s, how much power do you use?

19 W

25,200 W

700 W

4,200 W

  1. A 750-W motor might also be rated as a

0.5-horsepower motor.

1-horsepower motor.

2-horsepower motor.

10-horsepower motor.

Verified Answer :

 force of 10.0 N

distance of 0.9 m
w=fd
w=10
0.9
=9.0 j

Answer :

(2) The work done is, 9.0 J

(3) The power of a machine measures  its rate of doing work.

(4) The power used, 700 W

(5) A 750-W motor might also be rated as a  1-horsepower motor.

Solution for part (2) :

Formula used : \(W=F\times d\)

where,

W = work done = ?

F = applied force = 10 N

d = displacement = 0.9 m

Now put all the given values in the above formula, we get the work done.

\(W=(10N)\times (0.9m)}=9J\)

Therefore, the work done is, 9.0 J

Explanation for part (3) :

Power : it measures the rate of doing work by time.

Formula for power is, \(Power=\frac{Work}{time}\)

Solution for part (4) :

Formula used : \(P=\frac{W}{t}=\frac{F\times d}{t}\)

where,

W = work done

F = applied force = 700 N

d = displacement = 6 m

t = time taken = 6 s

Now put all the given values in the above formula, we get the work done.

\(P=\frac{700N\times 6m}{6s}=700W\)

Therefore, the power used, 700 W

Solution for part (5) :

As, 746 watt is equal to 1 horsepower

So, 750 watt is equal to \(\frac{750}{746}=1.005=1\text{ horsepower}\)

Therefore, a 750-W motor might also be rated as a  1-horsepower motor.