(B) Given: Mass $m = 10,000 \ kg$,Slope $\sin \theta = \frac{1}{50}$,Velocity $v = 36 \ km/hr = 36 \times \frac{5}{18} = 10 \ m/s$,$g = 10 \ m/s^2$.Th

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(B) Given: Mass $m = 10,000 \ kg$,Slope $\sin \theta = \frac{1}{50}$,Velocity $v = 36 \ km/hr = 36 \times \frac{5}{18} = 10 \ m/s$,$g = 10 \ m/s^2$.The force required to move the truck up the incline against gravity is $F = mg \sin \theta$.$F = 10,000 \times 10 \times \frac{1}{50} = 2,000 \ N$.The power $P$ is given by the product of force and velocity:$P = F \times v = 2,000 \ N \times 10 \ m/s = 20,000 \ W$.Converting to $kW$:$P = 20 \ kW$.

Class 11 Physics Work, Energy, Power and Collision Power

Medium

$A$ truck of mass $10,000 \ kg$ is moving up an inclined plane with a slope of $1 \ m$ in $50 \ m$. If the speed of the truck is $36 \ km/hr$,find the power of the engine in $kW$. (Take $g = 10 \ m/s^2$)

A
$10$
B
$20$
C
$14$
D
$30$

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$A$ truck of mass $10,000 \ kg$ is moving up an inclined plane with a slope of $1 \ m$ in $50 \ m$. If the speed of the truck is $36 \ km/hr$,find the power of the engine in $kW$. (Take $g = 10 \ m/s^2$)

Similar Questions

An electric motor produces a tension of $4500 N$ in a wire and the reel winds at a rate of $2 ms^{-1}$. What is the power of the electric motor?

$A$ body of mass $2 \,kg$ starts from rest and moves with uniform acceleration. It acquires a velocity $20 \,ms^{-1}$ in $4 \,s$. The power exerted on the body in $2 \,s$ in watts is

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