A block of mass 50 ,kg is pulled with a const | vedclass

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

Question

(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 $F = 500 \,N$

Vedclass · Accepted Answer

$1732$

Vedclass · Answer

(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 $	heta = 30^{\circ}$ above the horizontal.
The power delivered by a force is given by the dot product of force and velocity: $P = \vec{F} \cdot \vec{v} = Fv \cos 	heta$.
Substituting the values:
$P = 500 	imes 4 	imes \cos 30^{\circ}$
$P = 2000 	imes \frac{\sqrt{3}}{2}$
$P = 1000 \sqrt{3} \,W$
Using $\sqrt{3} \approx 1.732$:
$P = 1000 	imes 1.732 = 1732 \,W$.

$A$ 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

$A$ particle of mass $M$,starting from rest,undergoes uniform acceleration. If the speed acquired in time $T$ is $V$,the power delivered to the particle is

$A$ 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 $(60 \hat{i} + 15 \hat{j} - 3 \hat{k}) \text{ N}$ produces a velocity of $(2 \hat{i} - 4 \hat{j} + 5 \hat{k}) \text{ m/s}$ in a particle. The value of power at that time will be: (in $\text{ W}$)

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

$A$ constant power delivering machine has towed a box, which was initially at rest, along a horizontal straight line. The distance moved by the box in time $t$ is proportional to

Vedclass Test Series

Exam Paper Generator

Online Exam Module