The kinetic energy of the cart when the speed is doubled is 120 J
Kinetic Energy: This is the energy possessed by a moving body.
The Formula of kinetic energy is
Ek = mv²/2........................... Equation 1
Where Ek = kinetic energy of the cart, m = mass of the cart, v = velocity of the cart.
From the question,
If, Ek = 30 J,
Substitute this value into equation 1
30 = mv²/2
60 = mv²............... Equation 2
When The speed is doubled,
I.e speed/velocity = 2v
Substitute this value into equation 1
Ek = m(2v)²/2
Ek = 4mv²/2
Ek = 2mv²................... Equation 3
Substitute equation 2 into equation 3
Ek = 2(60)
Ek = 120 Joules.
Hence the kinetic energy of the cart when the speed is doubled is 120 J
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