Question

a body of mass 10.kg is acted upon by a force 50N for 25sec if its initial velocity was 20m/s , then find its final velocity​

Answer 1

Answer:-

• Mass=10kg=m
• Force=F=50N
• Time=t=25s
• initial velocity=u=20m/s
• Final Velocity=v=?

We know that

➡Force=Mass×Acceleration

$\\ \tt{:}\rightarrowtail Acceleration=\dfrac{Force}{Mass}$

And

$\\ \tt{:}\rightarrowtail Acceleration=\dfrac{v-u}{t}$

Hence

$\\ \tt{:}\rightarrowtail \dfrac{F}{m}=\dfrac{v-u}{t}$

$\\ \tt{:}\rightarrowtail \dfrac{50}{10}=\dfrac{v-20}{25}$

$\\ \tt{:}\rightarrowtail 5=\dfrac{v-20}{25}$

$\\ \tt{:}\rightarrowtail 25\times 5=v-20$

$\\ \tt{:}\rightarrowtail 125=v-20$

$\\ \tt{:}\rightarrowtail v=125+20$

$\\ \tt{:}\rightarrowtail v=145m/s$