Verified Answer :

Kinetic energy is the product of mass and the square of the velocity of the moving object. In this case, we substitute the given data, that is 1.8 x10^5 joules = m * (20 m/s2)^2. Extracting the mass, the mass of the car therefore is equal to 450 kg

Explanation :

Given that,

Velocity of the car, v = 20 m/s

Kinetic energy of the car, \(E_k=1.8\times 10^5\ J\)

Kinetic energy is given by :

\(E_k=\dfrac{1}{2}mv^2\)

\(m=\dfrac{2E_k}{v^2}\)

So, \(m=\dfrac{2\times 1.8\times 10^5\ J }{(20\ m/s)^2}\)

m = 900 kg

Hence, the mass of the car is 900 kg