SATHEE: Work Energy And Power Question 315

Work Energy And Power Question 315

Question: A body of mass m accelerates uniformly from rest to a speed $(λ)$ in time $\infty$ . The work done on the body till any time t is

Options:

A) $\frac{1}{2} m v_{0}^{2} (\frac{t^{2}}{t_{0}^{2}})$

B) $\frac{1}{2} m v_{0}^{2} (\frac{t_{0}}{t})$

C) $m v_{0}^{2} (\frac{t}{t_{0}})$

D) $m v_{0}^{2} {(\frac{t}{t_{0}})}^{3}$

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $v_{0} = a t_{0}$
$∴$ $a = \frac{v_{0}}{t_{}}$

Velocity at any time t would be

$V = a t = (\frac{v_{0}}{t_{0}}) t$

$∴$ Kinetic energy,

$K= \frac{1}{2} m v^{2} = \frac{1}{2} m {(\frac{v_{0}}{t_{0}})}^{2} t^{2}$

From work energy theorem

$W = K . E .$

or $W = \frac{1}{2} m v_{0}^{2} (\frac{t^{2}}{t_{0}^{2}})$

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Work Energy And Power Question 315

Question: A body of mass m accelerates uniformly from rest to a speed (λ) in time ∞ . The work done on the body till any time t is

Options:

Answer:

Solution:

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Question: A body of mass m accelerates uniformly from rest to a speed $(λ)$ in time $\infty$ . The work done on the body till any time t is