Question

a body of mass 4 kg is moving up an inclined plane rising in 1 in 40 with velocity 40 metre per second if efficiency is 50% the calculate power required

Answer 1

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Answer 2

Answer:

The required power is 20 kgm/s².

Explanation:

Given that,

Mass of body m= 4 kg

Velocity v= 40

Efficiency = 50%

Plane rising $sin\theta =\dfrac{1}{40}$

The force is

$F= mg\ sin\theta$

$F= 4\times9.8\times\dfrac{1}{40}$

$F= 0.98=1 N$

The power is the product of force and velocity.

The power is

$P= F\times v$

$P= 1\times40$

$P= 40 kg-m/s^3$

Efficiency $E=\dfrac{P_{in}}{P_{out}}$

$E\times P_{out}=P_{in}$

$P_{in}=0.5\times40$

$P_{in}=20\ kgm/s^3$

Hence, The required power is 20 kgm/s².