Question

An electric heater raises the temperature of a measured quantity of water. The water absorbs 6000 joules of energy from the heater in $30.0$ seconds. What is the minimum power supplied to the heater? (A) $5.00 \times 10^{2} \mathrm{~W}$ (B) $2.00 \times 10^{2} \mathrm{~W}$ (C) $1.80 \times 10^{5} \mathrm{~W}$ (D) $2.00 \times 10^{3} \mathrm{~W}$

Name: Problem 30, Chapter 9: Let's Review Regents: Physics—Physical Setting
Uploaded: 2022-01-23T06:54:40-08:00
Duration: 2 min 21 s
Channel: Rachel B.
Description: An electric heater raises the temperature of a measured quantity of water. The water absorbs 6000 joules of energy from the heater in 30.0 seconds. What is the minimum power supplied to the heater? (A) 5.00 ×10^2 W (B) 2.00 ×10^2 W (C) 1.80 ×10^5 W (D) 2.00 ×10^3 W

   An electric heater raises the temperature of a measured quantity of water. The water absorbs 6000 joules of energy from the heater in $30.0$ seconds. What is the minimum power supplied to the heater?
(A) $5.00 \times 10^{2} \mathrm{~W}$
(B) $2.00 \times 10^{2} \mathrm{~W}$
(C) $1.80 \times 10^{5} \mathrm{~W}$
(D) $2.00 \times 10^{3} \mathrm{~W}$

Let's Review Regents: Physics—Physical Setting

Miriam A. Lazar 1st Edition

Chapter 9, Problem 30

Instant Answer

Solved by Expert Rachel B.

01/23/2022

Step 1

We are asked to find the minimum power supplied to the heater. The formula for power is given by: \[ P = \frac{E}{t} \] where $ P $ is the power, $ E $ is the energy and $ t $ is the time. Show more…

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An electric heater raises the temperature of a measured quantity of water. The water absorbs 6000 joules of energy from the heater in $30.0$ seconds. What is the minimum power supplied to the heater? (A) $5.00 \times 10^{2} \mathrm{~W}$ (B) $2.00 \times 10^{2} \mathrm{~W}$ (C) $1.80 \times 10^{5} \mathrm{~W}$ (D) $2.00 \times 10^{3} \mathrm{~W}$

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Key Concepts

Energy

Energy is a measure of the capacity to perform work or transfer heat. It is quantified in joules (J) in the SI system and represents the total work done or heat provided in a process.

Power

Power is the rate at which energy is transferred or converted per unit time. In the SI system, power is measured in watts (W), where one watt is equivalent to one joule per second (1 W = 1 J/s).

Time Measurement

Time is an essential variable in the calculation of power, representing the duration over which energy is used. In power calculations, the energy transfer is divided by the time period in seconds to determine the power output.

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