(D) Power is defined as the dot product of force and velocity,given by $P = \vec{F} \cdot \vec{v}$.Since the body is moving with a uniform speed '$v$'

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(D) Power is defined as the dot product of force and velocity,given by $P = \vec{F} \cdot \vec{v}$.Since the body is moving with a uniform speed '$v$',the net force acting on the body must be zero according to Newton's first law of motion.From the figure,the forces $F_1$ and $F_2$ act in opposite directions. Therefore,the net force $F_{net} = F_1 - F_2 = 0$.The net power $P_{net}$ is the power delivered by the net force:$P_{net} = F_{net} \cdot v = (F_1 - F_2) \cdot v$.Since $F_1 = F_2$ for uniform motion,$P_{net} = 0 \cdot v = 0$.

Class 11 Physics Work, Energy, Power and Collision Power

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$A$ body of mass '$M$' is moving with a uniform speed of '$v$' on a frictionless horizontal surface under the influence of two forces $F_1$ and $F_2$ as shown in the figure. The net power of the system is

AP EAMCET 2025 All AP EAMCET

A
$(F_1-F_2) v$
B
$0.5(F_1+F_2) v$
C
$(F_1+F_2) v$
D
Zero

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MediumAIPMT 2010

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MediumKCET 2017

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$A$ force of $(2\hat{i} + 3\hat{j} + 4\hat{k})\,N$ acts on a body for $4\,s$ and produces a displacement of $(3\hat{i} + 4\hat{j} + 5\hat{k})\,m$. The power used is :- ............... $W$ (in $.5$)

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$A$ body of mass '$M$' is moving with a uniform speed of '$v$' on a frictionless horizontal surface under the influence of two forces $F_1$ and $F_2$ as shown in the figure. The net power of the system is

Similar Questions

What average horsepower is developed by an $80 \; kg$ man while climbing in $10 \; s$ a flight of stairs that rises $6 \; m$ vertically?

An engine pumps water through a hose pipe. Water passes through the pipe and leaves it with a velocity of $2\, m/s$. The mass per unit length of water in the pipe is $100\, kg/m$. What is the power of the engine $?$ ................ $W$

$A$ particle moves with a velocity $\vec v = 6\hat i - 4\hat j + 3\hat k \, m/s$ under the influence of a constant force $\vec F = 20\hat i + 15\hat j - 5\hat k \, N$. The instantaneous power applied to the particle is ......... $J/s$.

$A$ motor pump lifts $6$ tonnes of water from a well of depth $25 \ m$ to the first floor of height $35 \ m$ from the ground floor in $20$ minutes. The power of the pump (in $kW$) is: $[g=10 \ ms^{-2}]$

$A$ force of $(2\hat{i} + 3\hat{j} + 4\hat{k})\,N$ acts on a body for $4\,s$ and produces a displacement of $(3\hat{i} + 4\hat{j} + 5\hat{k})\,m$. The power used is :- ............... $W$ (in $.5$)

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