Chapter 9: Q. 36 (page 229)

a. How much work does an elevator motor do to lift a $1000$ kg elevator a height of $100$ m?
b. How much power must the motor supply to do this in $50$ s at constant speed?

Short Answer

Expert verified

a). work done by elevator motor is $9.8 \cdot 10^{5}$ J

b). power is $19620$ W

Step by step solution

Step 1. Given information

mass $m = 1000$ kg

height $h = 100$ m

Step 2. Work done by elevator motor

work that elevator motor does to elevator is equal to difference in potential energy

$E_{m o t o r} = ∆ E_{p o t e n t i a l} = m g ∆ h = 1000 k g \cdot 9.8 m / s^{2} \cdot 100 m = 9.81 \cdot 10^{5} J$

Step 3. Find the power

power is defined as the rate at which transfer energy(in our case work done by elevator motor) Then we have,

$P = \frac{E_{m o t o r}}{∆ t} = \frac{9.81 \cdot 10^{5} J}{50 s} = 19620 W$

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a. How much work does an elevator motor do to lift a $1000$ kg elevator a height of $100$ m?
b. How much power must the motor supply to do this in $50$ s at constant speed?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Work done by elevator motor

Step 3. Find the power

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a. How much work does an elevator motor do to lift a 1000kg elevator a height of 100m?b. How much power must the motor supply to do this in50 s at constant speed?

Short Answer

Step by step solution

Step 1. Given information

Step 2. Work done by elevator motor

Step 3. Find the power

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Fields in Physics

Force

Particle Model of Matter

Magnetism and Electromagnetic Induction

Linear Momentum

Famous Physicists

Study anywhere. Anytime. Across all devices.

a. How much work does an elevator motor do to lift a $1000$ kg elevator a height of $100$ m?
b. How much power must the motor supply to do this in $50$ s at constant speed?