Question

A warehouse worker uses a forklift to raise a crate of pickles on a platform to a height 2.75 m above the floor. The combined mass of the platform and the crate is 207 kg. If the power expended by the forklift is 1440 W, how long does it take to lift the crate?

Answer 1

the time that takes lift the crate is 3.878s

Step-by-step explanation:

Hello!

Briefly, the concept of work consists in the amount of energy it takes for a body to travel a certain distance, this is calculated as the product of the force by the distance parallel to the direction of the force.

To solve this exercise you must execute 2 steps.

1. Find the work done by the crate, which has a weight force and a height, which is calculated using the following equation

w=mgh

W=work(J)

m=mass =207kg

g=gravity=9.81m/s^2

h=2.75m

solving

W=(207)(9.81)(2.75)=5584.34J

2. Now remember that the concept of power is the amount of work a body does in a certain amount of time, so you use the following equation

`P=(W)/(t)`

where

P=power(W)=1440W

W=work=5584.34J

t=time(s)

solving for time

`t=(W)/(P)`

`t=(5584.34)/(1440)=3.878s`

the time that takes lift the crate is 3.878s