Answer:
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