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Grade 11Mechanics

A body of mass m is projected with a speed v making an angle thita with the vertical what is the change in momentum of body along x axis.

Sumit

7 Years agoGrade 11

1 Answer

Susmita

7 Years ago

Remenber that

momentum=mass×velocity

Or,p=mv

In this case the velocity v makes an angle theta with the vertical.So vertical component or y component of velocity is v_y=vcostheta and horizontal component of velocity is v_x=vsintheta.

As mass is constant,so change is momentum will correspond to change in velocity.Now velocity changes according to the equation

v=u+ft

In this problem,acceleration f only has a vertical component g(due to earths gravitational field)and there is no acceleration in the horizontal direction(as we have not applied any horizontal force)..So

f_y=g and f_x=0.

v_x=u_x+f_xt

or,v_x=u_x

Therefore velocity along x direction does not change during the motion.So there is no change in momentum along x direction.

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