# A ball of mass m, moving at a speed v1, hits the wall and flies away from it at a speed v2.

May 28, 2021 | education

| **A ball of mass m, moving at a speed v1, hits the wall and flies away from it at a speed v2. The angle between the vectors of the velocities v1 and v2 is equal to a. Average force of impact of the ball against the wall F, duration of impact t. Calculate the value of the quantity indicated by *. m = 0.5 v1 = 10 v2 = 5.0 a = 120 F = * t = 20**

Let’s use the formula F * t = Δp = | p2-p1 | where p1 from p2 are the body impulses before and after the collision, respectively, t is the interaction time, then:

t = | p2-p1 | / F = (mv1-mv2cos (180-α |) / F = (0.5 * 10-0.5 * 5 * cos (180-120)) / 20 = (5-1.25 ) / 20 = 0.1875.

* t = 20 by condition then:

* = 20 / t = 20 / 0.1875 = 106.7

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