A body of mass 2 kg is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in 4 s is (1/3) α2 √P m. The value of α will be

Question

A body of mass 2 kg is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in 4 s is (1/3) α2 √P m. The value of α will be (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

(1/2) mV 2= Pt V =√(2 Pt / m ) ( dx / dt )=√(2 Pt / m ) x =√(2 P / m ) (2/3)[ t 3 / 2]04 x =(16 √ P /3)=(1/3) × 16 √ P α=4

Q. A body of mass $2 k g$ is initially at rest. It starts moving unidirectionally under the influence of a source of constant power $P$ . Its displacement in $4 s$ is $\frac{1}{3} α^{2} P m$ . The value of $α$ will be_______

$\frac{1}{2} m V^{2} = Pt$
$V = \frac{2 Pt}{m}$
$\frac{d x}{d t} = \frac{2 Pt}{m}$
$x = \frac{2 P}{m} \frac{2}{3} [t^{3/2}]_{0}^{4}$
$x = \frac{16 P}{3} = \frac{1}{3} \times 16 P$
$α = 4$

Q. A body of mass 2kg is initially at rest. It starts moving unidirectionally under the influence of a source of constant power P. Its displacement in 4s is 31​α2P​m. The value of α will be_______

21​mV2=Pt V=m2Pt​​ dtdx​=m2Pt​​ x=m2P​32​​[t3/2]04​ x=316P​​=31​×16P​ α=4

Q. A body of mass $2 k g$ is initially at rest. It starts moving unidirectionally under the influence of a source of constant power $P$ . Its displacement in $4 s$ is $\frac{1}{3} α^{2} P m$ . The value of $α$ will be_______

$\frac{1}{2} m V^{2} = Pt$
$V = \frac{2 Pt}{m}$
$\frac{d x}{d t} = \frac{2 Pt}{m}$
$x = \frac{2 P}{m} \frac{2}{3} [t^{3/2}]_{0}^{4}$
$x = \frac{16 P}{3} = \frac{1}{3} \times 16 P$
$α = 4$