Question

A force 200 N applies on an object of mass 25 kg for 1/6 minutes, which was initially at rest. Find final

velocity.​

Answer 1

Answer:

$\boxed{\mathfrak{Final \ velocity \ (v) = 80 \ m/s}}$

Given:

Force (F) = 200 N

Mass (m) = 25 kg

Time (t) = $\sf \frac{1}{6}$ minutes = 10 seconds

Initial velocity (u) = 0 m/s (Rest)

To Find:

Final velocity (v)

Explanation:

The rate of change of momentum of a body is directly proportional to the applied force.

$\bold{F \propto \frac{\Delta P}{\Delta t} } \\ \\ F = k \frac{\Delta P}{\Delta t} \\ \\ k = 1 : \\ F = \frac{\Delta P}{\Delta t} \\ \\ P = mv: \\ F = \frac{\Delta mv}{\Delta t} \\ \\ F = \frac{m\Delta v}{\Delta t} \\ \\ \boxed{ \bold{F = \frac{m(v - u)}{t} }}$

Substituting value of m, u, t, & F in the equation we get:

$\sf \implies 200 = \frac{25(v - 0)}{10} \\ \\ \sf \implies 200 = \frac{25v}{10} \\ \\ \sf \implies v = 200 \times \frac{10}{25} \\ \\ \sf \implies v = 8 \times 10 \\ \\ \sf \implies v = 80 \: m {s}^{ - 1}$

$\therefore$

Final velocity (v) = 80 m/s

Answer 2

Answer:

Answer is 80m/s

Explanation:

Here is force,Mass,Time and Initial Velocity are given.we Have to find Final velocity.First we find acceleration from Newton's Second law And then using the formula of a=v-u/t we will find the final velocity.

Note-Time should be in seconds.