A block of mass 5 kg starting from rest pulled up on a smooth incline plane making an angle of $30^{\circ}$ with horizontal with an affective acceleration of 1 $\mathrm{ms}^{-2}$. The power delivered by the pulling force at $\mathrm{t}=10 \mathrm{~s}$ from the start is $\_\_\_\_$ W. [Use $\mathrm{g}=10 \mathrm{~ms}^{-2}$ ] (calculate the nearest integer value)

JEE Main · 2023 · 11 Apr 2023 · Shift 2 · Work, Power & Energy

A block of mass 5 kg starting from rest pulled up on a smooth incline plane making an angle of

3 0^{\circ}

with horizontal with an affective acceleration of 1

ms^{- 2}

. The power delivered by the pulling force at

t = 10 s

from the start is

____

W.
[Use

g = 10 ms^{- 2}

]
(calculate the nearest integer value)

Answer: 300

Solution

Applying Newton's second law along the incline:

F - m g sin 3 0^{\circ} = ma

. Substituting values:

F - 5 \times 10 \times 0.5 = 5 \times 1

, giving

F = 25 + 5 = 30

N. The velocity at

t = 10

s is

v = u + a t = 0 + 1 \times 10 = 10

m/s. The power delivered is

P = F v = 30 \times 10 = 300

JEE Main · 2023 · 11 Apr 2023 · Shift 2 · Integer answer

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