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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A cable exerts a constant upward tension of magnitude 1.25 × 104 N on a 1.00 × 103-kg elevator as it rises through a vertical distance of 2.00 m. (a) Find the work done by the tension force on the elevator. (b) Find the work done by the force of gravity on the elevator.

(a)

To determine
The work done by the tension force on the elevator.

Explanation

Given Info:

The tension exerted by the cable on the elevator is 1.25×104N .

The mass of elevator is 1.00×103kg

The vertical distance that elevator rise is 2.00m .

Formula to calculate the work done by the tension force is,

WT=(Tcosθ)d

  • θ is the angle between the vectors T and d
  • T is the tension
  • d is the vertical displacement

Since, the tension force and the displacement is in the direction upward, the angle θ is zero.

Substitute 1.25×104N for T, zero for θ and 2

(b)

To determine
The work done by the force of gravity on the elevator.

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