Question

Calculate the final velocity of a 0.25kg soccer ball if it was given an impulse of 10N.s. The soccer ball was initially moving at 2m / s

Answer 1

22 m/s

Step-by-step explanation:

We can use the principle of conservation of momentum to solve this problem. The equation for the conservation of momentum is:

m1v1 + I = m2v2

where m1 is the mass of the soccer ball (0.25 kg), v1 is the initial velocity (2 m/s), I is the impulse (10 N.s), m2 is the mass of the soccer ball (0.25 kg), and v2 is the final velocity (unknown).

We can rearrange the equation to solve for v2:

v2 = (m1v1 + I) / m2

Substituting the given values, we get:

v2 = (0.25 kg * 2 m/s + 10 N.s) / 0.25 kg

Simplifying the equation, we get:

v2 = (0.5 kg⋅m/s + 10 N.s) / 0.25 kg

v2 = 22 m/s

Therefore, the final velocity of the soccer ball is 22 m/s.