Question

Need help on a problem that asks for kinetic energy and velocity.

Answer 1

1)

The formula for calculating kinentic energy is expressed as

K = 1/2mv^2

where

m = mass of object

v = velocity of object

From the information given,

m = 92.4

v = 13.2

By substituting these values into the formula,

K = 1/2 x 92.4 x 13.2^2

K = 8049.89 J

2) If the person pedals enough to do 1580 J of work, it means that the kinetic energy that the system has now is

K = 1580 J

3) We would substitute K = 1580 and m = 92.4 into the kinetic energy formula. We have

1580 = 1/2 x 92.4 x v^2

1580 = 46.2v^2

v^2 = 1580/46.2

Taking the square root of both sides of the equation,

`\begin{gathered} v\text{ = }\sqrt[]{(1580)/(46.2)} \\ v\text{ = 5.85} \end{gathered}`

The new velocity of the system is

v = 5.85 m/s