A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle. If the initial speed (in ) of the particle is zero, the speed (in ) after 5 s is [2013]

Question

A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle. If the initial speed (in ${ms}^{- 1}$ ) of the particle is zero, the speed (in ${ms}^{- 1}$ ) after 5 s is [2013]

Smart Achievers · Accepted Answer

(5)

Using, work - energy theorem, $Δ K.E. = W = P \times t$

$\frac{1}{2} m v^{2} = P \times t$ $∴$ $v = \sqrt{\frac{2 P t}{m}}$

$v = \sqrt{\frac{2 \times 0.5 \times 5}{0.2}} = 5 {ms}^{- 1}$

Solution

Q.
A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle. If the initial speed (in ${ms}^{- 1}$ ) of the particle is zero, the speed (in ${ms}^{- 1}$ ) after 5 s is [2013]

Ans.
(5)

Using, work - energy theorem, $Δ K.E. = W = P \times t$

$\frac{1}{2} m v^{2} = P \times t$ $∴$ $v = \sqrt{\frac{2 P t}{m}}$

$v = \sqrt{\frac{2 \times 0.5 \times 5}{0.2}} = 5 {ms}^{- 1}$

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Solution

Q. A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle. If the initial speed (in ms-1) of the particle is zero, the speed (in ms-1) after 5 s is [2013]

Ans. (5) Using, work - energy theorem, ΔK.E.=W=P×t 12mv2=P×t ∴ v=2Ptm v=2×0.5×50.2=5 ms-1

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Q.
A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle. If the initial speed (in ${ms}^{- 1}$ ) of the particle is zero, the speed (in ${ms}^{- 1}$ ) after 5 s is [2013]

Ans.
(5)

Using, work - energy theorem, $Δ K.E. = W = P \times t$

$\frac{1}{2} m v^{2} = P \times t$ $∴$ $v = \sqrt{\frac{2 P t}{m}}$

$v = \sqrt{\frac{2 \times 0.5 \times 5}{0.2}} = 5 {ms}^{- 1}$