All Problems

The Fundamental Equation of Dynamics

Problem 1.96

\(1.96 .\) A body of mass \(m\) is thrown at an angle to the horizontal with the initial velocity \(\mathbf{v}_{0}\). Assuming the air drag to be negligible, find: (a) the momentum increment \(\Delta\) p that the body acquires over the first \(t\) seconds of motion; (b) the modulus of the momentum increment \(\Delta\) p during the total time of motion.

Reveal Answer
 1.96. (a) Δp=m gt; (b) Δp==2m(v0g)/g\begin{aligned} &\text { 1.96. (a) } \Delta \mathbf{p}=m \mathrm{~g} t ; \text { (b) }|\Delta \mathbf{p}|=\\ &=-2 m\left(\mathbf{v}_{0} \mathbf{g}\right) / g \end{aligned}