Two balls A and B are thrown with the same ve | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let the height of the tower be $h$. According to the law of conservation of mechanical energy, the total energy at the top of the tower is equal t

Vedclass · Accepted Answer

Both the balls reach the ground with the same velocity.

Vedclass · Answer

(C) Let the height of the tower be $h$. According to the law of conservation of mechanical energy, the total energy at the top of the tower is equal to the total energy at the ground level.For ball $A$ (thrown upwards): Initial energy $E_A = \frac{1}{2}mu^2 + mgh$. Final energy at ground $E'_A = \frac{1}{2}mv_A^2 + 0$.By conservation of energy: $\frac{1}{2}mu^2 + mgh = \frac{1}{2}mv_A^2$, which gives $v_A = \sqrt{u^2 + 2gh}$.For ball $B$ (thrown downwards): Initial energy $E_B = \frac{1}{2}mu^2 + mgh$. Final energy at ground $E'_B = \frac{1}{2}mv_B^2 + 0$.By conservation of energy: $\frac{1}{2}mu^2 + mgh = \frac{1}{2}mv_B^2$, which gives $v_B = \sqrt{u^2 + 2gh}$.Since both balls start with the same initial speed $u$ from the same height $h$, they will both reach the ground with the same final velocity $v = \sqrt{u^2 + 2gh}$.Therefore, option $C$ is the correct answer.

Two balls $A$ and $B$ are thrown with the same velocity $u$ from the top of a tower. Ball $A$ is thrown vertically upwards and ball $B$ is thrown vertically downwards. Choose the correct statement.

Similar Questions

$A$ ball is dropped vertically from height $h$ and is bouncing elastically on the floor (see figure). Which of the following plots best depicts the acceleration of the ball as a function of time?

When a ball is thrown up vertically with velocity $V_o$,it reaches a maximum height of $h$. If one wishes to triple the maximum height,then the ball should be thrown with what velocity?

Draw graphs $a \to t$,$v \to t$,and $x \to t$ for an object falling freely.

$A$ bead is free to slide down a smooth wire tightly stretched between points $A$ and $B$ on a vertical circle. If the bead starts from rest at $A$,the highest point on the circle,

$A$ stone is shot straight upward with a speed of $20\, m/s$ from a tower $200\, m$ high. The speed with which it strikes the ground is approximately........$m/s$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module