A car’s engine must exert a force of 2,000 N to maintain a speed of 30 m/s up an incline. What i

Name: Problem 19, Chapter 14: Cracking The AP Physics 1 Exam
Uploaded: 2021-04-08T14:53:03-08:00
Duration: 1 min 2 s
Channel: Sachin Rao
Description: A car’s engine must exert a force of 2,000 N to maintain a speed of 30 m/s up an incline. What is the power provided by the engine during this motion? (A) 20 N (B) 40 N (C) 80 N (D) 160 N

step 1 problem we have given a car's engine must exert a force of 2 ,000 Newton. Force is given 2 ,000

Question

A car’s engine must exert a force of 2,000 $\mathrm{N}$ to maintain a speed of 30 m/s up an incline. What is the power provided by the engine during this motion? (A) 20 $\mathrm{N}$ (B) 40 $\mathrm{N}$ (C) 80 $\mathrm{N}$ (D) 160 $\mathrm{N}$

   A car’s engine must exert a force of 2,000 $\mathrm{N}$ to maintain a speed of 30 m/s up an incline. What is the power provided by the engine during this motion?
(A) 20 $\mathrm{N}$
(B) 40 $\mathrm{N}$
(C) 80 $\mathrm{N}$
(D) 160 $\mathrm{N}$

Cracking The AP Physics 1 Exam

Robert Franek 1st Edition

Chapter 14, Problem 19

Instant Answer

Solved by Expert Sachin Rao

04/08/2021

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A car’s engine must exert a force of 2,000 $\mathrm{N}$ to maintain a speed of 30 m/s up an incline. What is the power provided by the engine during this motion? (A) 20 $\mathrm{N}$ (B) 40 $\mathrm{N}$ (C) 80 $\mathrm{N}$ (D) 160 $\mathrm{N}$

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Key Concepts

Force-Velocity Relationship

The force-velocity relationship in power calculations reflects that when a constant force is applied to maintain a constant velocity, the rate of energy transfer is directly proportional to both the magnitude of the force and the speed of the object. This relationship, expressed as P = F × v, is crucial in understanding how different factors contribute to the overall power output in mechanical systems.

Mechanical Power

Mechanical power is the rate at which work is done or energy is transferred over time. In situations where a constant force is applied in the direction of motion, power is calculated by multiplying the force by the constant velocity. This concept is fundamental in mechanics, particularly when determining how quickly energy is used or transferred in moving systems.

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