Exam

JEE Main

Year

2025

Date

22 January

Shift

Evening Shift

Subject

Physics

Chapter

Motion in Two Dimensions

JEE Main 2025 · 22 January · Evening Shift · Physics · Motion in Two Dimensions

A ball of mass 100 g is projected with velocity 20 ~m / s at 60^...

A ball of mass 100 g is projected with velocity $20 \mathrm{~m} / \mathrm{s}$ at $60^{\circ}$ with horizontal. The decrease in kinetic energy of the ball during the motion from point of projection to highest point is

Step-by-step solution

$$\begin{aligned} & \mathrm{k}_{\mathrm{i}}=\frac{1}{2} \mathrm{mv}^2 \\ & \mathrm{k}_{\mathrm{f}}=\frac{1}{2} \mathrm{~m}\left(\mathrm{v} \cos 60^{\circ}\right)^2=\frac{1}{8} m v^2 \\ & \Delta \mathrm{k}=\mathrm{k}_{\mathrm{i}}-\mathrm{k}_{\mathrm{f}}=\frac{3}{8} \mathrm{mv}^2=\frac{3}{8} \times 0.1 \times 400=15 \mathrm{~J}\end{aligned}$$