A ping-pong ball of mass m is floating in air | vedclass

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

Question

(C) The impact force exerted by the water on the ball is given by Newton's second law in terms of momentum change:$F = \frac{\Delta p}{\Delta t}$Here,

Vedclass · Accepted Answer

$\frac{mg}{v}$

Vedclass · Answer

(C) The impact force exerted by the water on the ball is given by Newton's second law in terms of momentum change:$F = \frac{\Delta p}{\Delta t}$Here,$\Delta p$ is the change in momentum of the water of mass $\Delta m$ striking the ball with speed $v$ during time $\Delta t$. Since the water falls dead after the collision,its final velocity is $0$.Therefore,the change in momentum is $\Delta p = \Delta m \cdot v - 0 = \Delta m \cdot v$.Substituting this into the force equation:$F = \frac{\Delta m \cdot v}{\Delta t} = v \left( \frac{\Delta m}{\Delta t} \right)$Where $\frac{\Delta m}{\Delta t}$ is the rate of flow of water in the nozzle. Since the ball is floating in equilibrium,the upward force exerted by the water must balance the weight of the ball:$F = mg$Equating the two expressions for $F$:$v \left( \frac{\Delta m}{\Delta t} \right) = mg$Solving for the rate of flow:$\frac{\Delta m}{\Delta t} = \frac{mg}{v}$

$A$ ping-pong ball of mass $m$ is floating in air by a jet of water emerging out of a nozzle. If the water strikes the ping-pong ball with a speed $v$ and just after collision the water falls dead,the rate of flow (in $kg/s$) of water in the nozzle is equal to

Similar Questions

$A$ uniformly moving cricket ball is turned back by hitting it with a bat for a very short time interval. Show the variation of its acceleration with time (Take acceleration in the backward direction as positive).

Using the variation of force and time given below, the final velocity of a particle of mass $2 \, kg$ moving with an initial velocity $6 \, m/s$ will be: (in $m/s$)

Force is the mutual interaction between the bodies according to:

Figures $I, II, III$ and $IV$ depict the variation of force with time. In which of these situations is the impulse the highest?

$A$ cricket ball of mass $0.25 \,kg$ with speed $10 \,m/s$ collides with a bat and returns with the same speed within $0.01 \,s$. The force exerted on the bat is: (in $\,N$)

Vedclass Test Series

Exam Paper Generator

Online Exam Module