An automated conveyor belt pulls a heavy cargo container across a level 14\text{-meter} wa… — Armed Services Vocational Aptitude Battery (ASVAB)

An automated conveyor belt pulls a heavy cargo container across a level $14\text{-meter}$ warehouse floor in $7\text{ seconds}$ by exerting a constant horizontal force of $250\text{ N}$ . What is the power output delivered by the conveyor belt to the container?

A
$3{}500\text{ W}$
B
$125\text{ W}$
$500\text{ W}$ Answer
D
$24{}500\text{ W}$

Answer

The power output delivered by the conveyor belt is

500\text{ W}

Power is defined as work done divided by time (

P = \frac{W}{t}

). The conveyor belt performs

3{}500\text{ J}

of work (

250\text{ N} \times 14\text{ m}

). Over an interval of

7\text{ seconds}

, the power delivered is

\frac{3{}500\text{ J}}{7\text{ s}} = 500\text{ W}

Step-by-Step Solution

Calculate the mechanical work performed using

W = F \times d

W = 250\text{ N} \times 14\text{ m} = 3{}500\text{ J}

Work is the product of the applied force and the displacement in the direction of the force.

Calculate the power output by dividing work by time using

P = \frac{W}{t}

P = \frac{3{}500\text{ J}}{7\text{ s}} = 500\text{ W}

Power is defined as the time rate at which work is done or energy is transferred.

Key Concept

Mechanical Work and Power

Estimated Time:1m 0s

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

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