(C) The rate at which the force does work is defined as power $(P)$. Given: Mass $m = 50 \,kg$ Speed $v = 4 \,ms^{-1}$ Applied force $F = 500 \,N$

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(C) The rate at which the force does work is defined as power $(P)$. Given: Mass $m = 50 \,kg$ Speed $v = 4 \,ms^{-1}$ Applied force $F = 500 \,N$ Angle $\theta = 30^{\circ}$ above the horizontal. The power delivered by a force is given by the dot product of force and velocity: $P = \vec{F} \cdot \vec{v} = Fv \cos \theta$. Substituting the values: $P = 500 \times 4 \times \cos 30^{\circ}$ $P = 2000 \times \frac{\sqrt{3}}{2}$ $P = 1000 \sqrt{3} \,W$ Using $\sqrt{3} \approx 1.732$: $P = 1000 \times 1.732 = 1732 \,W$.

Class 11 Physics Work, Energy, Power and Collision Power

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$A$ block of mass $50 \,kg$ is pulled with a constant speed of $4 \,ms^{-1}$ across a horizontal floor by an applied force of $500 \,N$ directed $30^{\circ}$ above the horizontal. The rate at which the force does work on the block in watt is

AP EAMCET 2022 All AP EAMCET

A
$2000/\sqrt{3}$
B
$500 \sqrt{3}$
C
$1732$
D
$1864$

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Work, Energy, Power and Collision

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Power

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$A$ block of mass $50 \,kg$ is pulled with a constant speed of $4 \,ms^{-1}$ across a horizontal floor by an applied force of $500 \,N$ directed $30^{\circ}$ above the horizontal. The rate at which the force does work on the block in watt is

Similar Questions

$A$ body of mass $m$ starts from rest and is accelerated uniformly to a velocity $v_1$ in time $t_1$. The instantaneous power delivered to the body as a function of time $t$ is:

The power of a water pump is $2 \; kW$. If we take $g = 10 \; m/s^2$, how many liters of water can be raised to a height of $10 \; m$ in one minute?

$A$ weight lifter lifts $300 \ kg$ from the ground to a height of $2 \ m$ in $3 \ s$. The average power generated by him is $... \ W$.

$A$ body of mass $1\, kg$ begins to move under the action of a time-dependent force $\overrightarrow{F} = (2t\hat{i} + 3t^2\hat{j})\, N$,where $\hat{i}$ and $\hat{j}$ are unit vectors along the $x$ and $y$ axes. What power will be developed by the force at time $t$?

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