A block with an initial kinetic energy of 4.0 J comes to rest after sliding 1.0 m. How far would the block slide if it had 8.0 J of initial kinetic energy?

2.0 m

Explanation:

Kinetic Energy: This is the energy of a body due to motion.

According to the law of conservation of energy,

Kinetic Energy = potential Energy = mgs

Where m = mass (kg), g = acceleration due to gravity (m/s²), s = distance or height (m).

Kinetic energy = 4.0 J, s = 1.0 m, g = 9.8m/s², m=?

∴ m = kinetic Energy / (gs)

m = 4 / (1 * 9.8) = 0.4081 Kg.

When the initial kinetic energy 8.0 J

∴ Distance (s) = 8.0 / (0.4081 * 9.8)

Distance (s) = 2.00031

Distance (s) ≈ 2.0 m

∴ the block would slide 2.0 m