Question

A vehicle with a mass of 1200 kg has an engine whose maximum power output is 55 kilowatts (about 74 horsepower; one horsepower is 746 watts). At a speed of 22 m/s (about 50 miles/hour), what is the magnitude of the maximum acceleration possible?

Answer 1

2.08m/s^2

Step-by-step explanation:

Hello!

To solve this exercise follow the steps below.

1. the power can be defined as the force necessary to carry a body with mass at a certain speed. for this reason it is possible to determine the power by finding the product of the force and speed

W=FV

where

w=POWER=55000w

f=FORCE

v=speed=22m/s

Solving for f

`f=(w)/(v)`

`f=(55000)/(22)=2500N`

2. Newton's second law for movement states that the force applied is equal to the product of mass by acceleration

f=ma

solving for a

`a=(f)/(m) =(2500)/(1200) =2.08m/s^2`

We conclude that the maximum acceleration achieved by the body that does not include external effects such as friction is 2.08m / s ^ 2