A particle of mass 2 kg is moving in xy plane- Its velocity and acceleration at a certain instant of time is given by v -3 -4 - m - s and a - 5 -4 - m - s 2- Find the power delivered by force at that instant of time- A- 60 WB- 62 WC- 66 WD- 64 W

Given: Mass of particle, m=2 kg Instantaneous velocity, v=( 3 î + 4 ĵ) m/s Instantaneous acceleration, a = (5 î + 4 ĵ) m/s^2 We know that the instantaneous p ...

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Standard XII

Physics

Average and Instaneous Power

A particle of...

Question

A particle of mass $2 kg$ is moving in $x y$ plane. Its velocity and acceleration at a certain instant of time is given by $\to v = (3^i + 4^j) m/s$ and $\to a = (5^i + 4^j) {m/s}^{2}$ . Find the power delivered by force at that instant of time.

60 W

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62 W

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64 W

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66 W

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Solution

The correct option is B $62 W$
Given:
Mass of particle, $m = 2 kg$
Instantaneous velocity, $\to v = (3^i + 4^j) m/s$
Instantaneous acceleration, $\to a = (5^i + 4^j) {m/s}^{2}$
We know that the instantaneous power of a force is given by,
$P = \to F . \to v$
$\Rightarrow P = m \to a . \to v$
$\Rightarrow P = 2 \times (5^i + 4^j) . (3^i + 4^j)$
$\Rightarrow P = 30 + 32 = 62 W$

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A particle of mass 2 kg is moving in xy plane. Its velocity and acceleration at a certain instant of time is given by →v=(3^i+4^j) m/s and →a=(5^i+4^j) m/s2. Find the power delivered by force at that instant of time.

The correct option is B 62 WGiven: Mass of particle, m=2 kg Instantaneous velocity, →v=(3^i+4^j) m/s Instantaneous acceleration, →a=(5^i+4^j) m/s2 We know that the instantaneous power of a force is given by, P=→F.→v ⇒P=m→a.→v ⇒P=2×(5^i+4^j).(3^i+4^j) ⇒P=30+32=62 W

A particle of mass $2 kg$ is moving in $x y$ plane. Its velocity and acceleration at a certain instant of time is given by $\to v = (3^i + 4^j) m/s$ and $\to a = (5^i + 4^j) {m/s}^{2}$ . Find the power delivered by force at that instant of time.