Answer: 4. Twice as much
Explanation:
Potential energy of an object is given by the equation
PE= mgh (where m is the mass, g is the acceleration due to gravity and h is its vertical distance above ground level)
If it were lifted twice its initial height,
PE = mgH (where H is the new height, which is twice the initial vertical distance)
PE = mg(2h)
PE = 2mgh
We can see that the potential energy doubles as the vertical distance is doubled.
Answer:
4. Twice as much
Explanation:
Potential Energy: This is the energy a body posses b virtue of its position.
It can be expressed mathematically as
Ep₁ = Mgh
Where Ep₁= potential energy, M = mass, g = acceleration due to gravity, h = height.
From the question, let the mass of the car be(m) = N kg
and let the height be(h) = y m, and g = 9.8 m/s²
Therefore, Ep₁ = 9.8 × N × y
Ep₁ = 9.8Ny.......................... equation 1
When the car is lifted twice its height,
new height (h₂) = 2y m, mass of the car = N kg, g = 9.8 m/s
therefore the new potential energy of the car Ep₂ =9.8 × 2y × N
Ep₂ = 19.6Ny........................................ equation 2
Comparing equation 1 and equation 2 it can be seen that
Ep₂ = twice Ep₁
Therefore, the right option is twice as much.
