Question

Colby’s dog was running in the park with a speed of 28 m/s. If is dog had 6000 J of kinetic energy, find his dog’s mass.

Answer 1

The dog's mass is 15.3kg.

Step-by-step explanation:

Given that the formula for kinetic energy is k.e = 1/2×m×v² where m represents mass and v is the velocity. Then, you have to substitute the following values into the formula :

`k.e = (1)/(2) * m * {v}^(2)`

Let k.e = 6000,

Let v = 28,

`6000 = (1)/(2) * m * {28}^(2)`

`6000 / 784 = (1)/(2) * m`

`(1)/(2) * m = (375)/(49)`

`m = (375)/(49) / (1)/(2)`

`m = (375)/(49) * 2`

`m = (750)/(49)`

`m = 15.3kg \: (3s.f)`