During a neighborhood baseball game in a vacant lot, a particularly wild hit sends a 0.147 kg baseball crashing through the pane of a second-floor window in a nearby building. The ball strikes the glass at 14.3 m/s , shatters the glass as it passes through, and leaves the window at 10.1 m/s with no change of direction. What is the direction of the impulse that the glass imparts to the baseball?Calculate the magnitude of this impulse (a positive number).

The direction of impulse will be opposite to velocity of baseball and its magnitude is -0.617 kg-m/s.

Given data:

The mass of baseball is, m = 0.147 kg.

The speed at which the ball strikes the glass is, u = 14.3 m/s.

The speed at which the ball leaves the window is, v = 10.1 m/s.

The impact of force for a very small fraction of time is known as impulse. From momentum and impulse concept, the expression for the impulse is given as,

.....................................(1)

From the question we see that there is no change in direction and thus the impulse will be in exactly the opposite direction to the velocity direction of travel of the baseball.

Now, substitute the values in equation (1) as,

(The negative sign indicates an opposite direction to that of the velocity)

Thus, we can conclude that the direction of impulse will be opposite to velocity of baseball and its magnitude is -0.617 kg-m/s.

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A) The direction of impulse is the opposite direction to the velocity direction of travel of the baseball.

B) Magnitude of Impulse = 0.6175 N.s

Explanation:

A) From the question we see that there is no change in direction and thus the impulse will be in exactly the opposite direction to the velocity direction of travel of the baseball.

B) From momentum and impulse we know that;

Impulse = change in momentum

Thus, impulse = (V2-V1)m

So;

(10.1 - 14.3)m/s x 0.147 kg = -0.6175N.s

(The negative sign indicates an opposite direction to that of the velocity)

Thus, the magnitude of the impulse is 0.6175 N.s

+15-35=-20

going in opposite directions