Physics
Physics
1st Edition
Walker
ISBN: 9780133256925
Textbook solutions

All Solutions

Page 215: Practice Problems

Exercise 51
Step 1
1 of 5
In this problem, a small motor runs a lift that raises a load of bricks weighing $w = 836~mathrm{N}$ to a height of $h = 10.7~mathrm{m}$ in $t = 23.2~mathrm{s}$. Assuming that the bricks are lifted in a constant speed, we calculate the minimum power produced by the motor.
Step 2
2 of 5
First, we find the speed of the lift. Since this is constant, we have

$$
begin{aligned}
v &= frac{h}{t}
end{aligned}
$$

Step 3
3 of 5
The lift must apply a force at least the weight of the bricks, so we have

$$
F = w
$$

Step 4
4 of 5
The power produced by the motor must be

$$
begin{aligned}
P &= Fv \
&= wfrac{h}{t} \
&= left(836~mathrm{N}right)frac{10.7~mathrm{m}}{23.2~mathrm{s}} \
&= 385.56897~mathrm{W} \
P &= boxed{ 386~mathrm{W} }
end{aligned}
$$

Result
5 of 5
$$
P = 386~mathrm{W}
$$
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