a ball dropped on to a floor .if the coefficient of restitution is 0.5.the percentage loss of energy of the ball on rebounding from the floor is?
75%
To calculate the percentage loss of energy of the ball on rebounding from the floor, we need to understand the concept of the coefficient of restitution.
The coefficient of restitution (e) is a measure of how bouncy a collision is. It represents the ratio of the final velocity to the initial velocity of an object after a collision.
In this case, the ball is dropped onto the floor, which means it has an initial velocity of zero. When the ball rebounds from the floor, it will have a final velocity. The coefficient of restitution (e) is given as 0.5.
To calculate the percentage loss of energy, we can use the formula:
Percentage loss of energy = (1 - e^2) * 100
Substituting e = 0.5 into the formula, we have:
Percentage loss of energy = (1 - 0.5^2) * 100
= (1 - 0.25) * 100
= 0.75 * 100
= 75%
Therefore, the percentage loss of energy of the ball on rebounding from the floor is 75%.
Before: m(v1)^2/2
After:
since v2= v1/2,
m(v2)^2/2 = m(v1)^2/2•4
ΔE = E1- E2 = m(v1)^2/2 - m(v1)^/2•4 =
= (3/4) •m(v1)^2/2