Question

A ball is projected with momentum p at angle $\theta$. What is the change in momentum till it reaches highest point?

• A. $\frac{psin\theta }{2}$
• B. $pcos\theta$
• C. $psin\theta$
• D. $\frac{pcos\theta }{2}$

Answer 1

Answer: (B)

$pcos\theta$

Given : A ball is projected with momentum p at angle θθ. What is the change in momentum till it reaches highest point?

Solution :

we can write p=mv

Vertical velocity = v sin$\theta$

Horizontal velocity = v cos$\theta$

At highest point vertical velocity is 0 and we have only horizontal velocity

Then momentum is mvcos$\theta$ = p cos$\theta$

The Correct opt = B