Explanation:
Momentum is conserved when there is no net external force. So momentum is conserved in the direction parallel to the incline.
p₀ = p
m v cos θ = (m + M) vₓ
vₓ = m v cos θ / (m + M)
After the collision, energy is conserved.
PE = KE
(m+M) gh = ½ (m+M) vₓ²
gh = ½ vₓ²
h = vₓ² / (2g)
d sin θ = [m v cos θ / (m + M)]² / (2g)
d = [m v cos θ / (m + M)]² / (2g sin θ)
With the presence of science during the scientific revolution, people were no longer very permissive to ideas about nature that were solely based on someone's perception. It should be scientifically studied and have undergone scientific method for it to be generally accepted as true.