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?

Respuesta :

Answer:

2.08m/s^2

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

[tex]f=\frac{w}{v}[/tex]

[tex]f=\frac{55000}{22}=2500N[/tex]

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

[tex]a=\frac{f}{m} =\frac{2500}{1200} =2.08m/s^2[/tex]

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