A car moving with a velocity of 20 meters/second has 1.8 × 105 joules of kinetic energy. What is the mass of the car?


A.) 4.6 × 102 kilograms

B.) 9.0 × 102 kilograms

C.) 1.0 × 103 kilograms

D.) 1.2 × 103 kilograms

Respuesta :

The answer would be B

Answer: The correct answer is [tex]m=9.0\times 10^{2} kg[/tex].

Explanation:

The expression for the kinetic energy is as follows;

[tex]KE=\frac{1}{2} mv^{2}[/tex]

Here, m is the mass of the object and v is the velocity.

It is given in the problem that A car moving with a velocity of 20 meters/second has [tex]1.8\times 10^{5} J[/tex] of kinetic energy.

Calculate the mass of the car by rearranging the above expression.

[tex]m=\frac{1}{2} (KE)v^{2}[/tex]

Put [tex]KE=1.8\times 10^{5} J[/tex] and v= 20 m/s.

[tex]m=9.0\times 10^{2} kg[/tex]

Therefore, the correct option is (B).