Question

If the magnitude of the net force acting on the particle is F, how long does it take the particle to acquire its final velocity, 2v in the positive y direction

Answer 1

Answer:

• Force,F-

The agent or the cause of change inside a system or an objects position is called as the force,F.

• Unit- newton,N.

Explanation:

Momentum,p is the product of mass,m and velocity,v of the body. And lets say that,

F=dp/dt,

Then,putting the values in the equation above:

F=d(m.v)/dt,

As, we can simplify it now as,

F=m.(dv)/dt, as we can say that, a=dv/dt.

F=m.a

So, results can be very simplified to clear the concepts by going through the above procedure.

Answer 2

The time taken to reach the velocity 2v is $\frac{2Fv}{m}$

Equation of motion:

It is given that the force acting on the particle is F. So from Newton's law of motion;

F = ma

$a=\frac{F}{m}\\\\\frac{dv}{dt}=\frac{F}{m} \\\\\int\limits^{2v}_0 {} \, dv=\int\limits^{t}_0 {\frac{F}{m} } \, dt\\\\2v=\frac{F}{m}t\\\\t=\frac{2Fv}{m}$

Hence the time taken to reach the velocity 2v is $\frac{2Fv}{m}$

Learn more about laws of motion:

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