Sphere X, of mass 2 kg, is moving to the right at 10m/s. Sphere Y, of mass 4 kg, is moving to the left at 10m/s. The two spheres collide head-on. The magnitude of the impulse of X on Y is: A. twice the magnitude of the impulse of Y on X B. half the magnitude of the impulse of Y on X C. one-fourth the magnitude of the impulse of Y on X D. four times the magnitude of the impulse of Y on X E. the same as the magnitude of the impulse of Y on X

Impulse is product of force and time duration of action of force . When two objects collide , two equal forces emerge at the point of contact in opposite direction . Both remain active for a fraction of a second . Since these two forces are equal and act for same period of time , the pulse of these forces two are same .

so when X collides with Y , impulse on each of them are equal , no matter what their masses or velocities are.

throwdolbeau throwdolbeau · Answer 2 · 2021-12-20T05:07:51+01:00

E. the same as the magnitude of the impulse of Y on X

We can understand this question by this concept:

Two colliding objects will exert equal forces upon each other even if their mass is significantly different.

During a collision, an object always encounters an impulse and a change in momentum.

During a collision, the impulse which an object experiences is equal to its velocity change.

Since, impulse is equal to velocity change and mass remains inconsiderate. Thus we can say that magnitude of the impulse of Y on X is same as the velocity changes for both the spheres has same magnitude.

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