A constant force starts acting on a body of mass m at rest. The velocity v acquired in traveling a specific distance depends on m as

Question

A constant force starts acting on a body of mass m at rest. The velocity v acquired in traveling a specific distance depends on m as (A) v propto(1/m) (B) v propto (1/√m) (C) v propto m (D) v propto √m

Tardigrade Admin · Accepted Answer

u=0, a=F/m, Apply v2=u2+2as ⇒ v2 = 02+(2F/m) s ⇒ v2 =(2Fs/m) ⇒ v2 propto (1/m) ⇒ V propto(1/√m)

Q. A constant force starts acting on a body of mass $m$ at rest. The velocity $v$ acquired in traveling a specific distance depends on $m$ as

$v \propto \frac{1}{m}$

$v \propto \frac{1}{m}$

$v \propto m$

$v \propto m$

$u = 0$ ,

$a = F / m$ ,

Apply $v^{2} = u^{2} + 2 a s$

$\Rightarrow v^{2} = 0^{2} + \frac{2 F}{m} s$

$\Rightarrow v^{2} = \frac{2 F s}{m}$

$\Rightarrow v^{2} \propto \frac{1}{m}$

$\Rightarrow V \propto \frac{1}{m}$

Q. A constant force starts acting on a body of mass m at rest. The velocity v acquired in traveling a specific distance depends on m as

v∝m1​

v∝m​1​

v∝m

v∝m​

u=0, a=F/m, Apply v2=u2+2as ⇒v2=02+m2F​s ⇒v2=m2Fs​ ⇒v2∝m1​ ⇒V∝m​1​

Q. A constant force starts acting on a body of mass $m$ at rest. The velocity $v$ acquired in traveling a specific distance depends on $m$ as

$v \propto \frac{1}{m}$

$v \propto \frac{1}{m}$

$v \propto m$

$v \propto m$

$u = 0$ ,

$a = F / m$ ,

Apply $v^{2} = u^{2} + 2 a s$

$\Rightarrow v^{2} = 0^{2} + \frac{2 F}{m} s$

$\Rightarrow v^{2} = \frac{2 F s}{m}$

$\Rightarrow v^{2} \propto \frac{1}{m}$

$\Rightarrow V \propto \frac{1}{m}$