Question

5. a 50 kg mass is sitting on a frictionless surface. An unknown constant force pushes the mass for 2 seconds until the mass reaches a velocity of 3 m/s.`

Answer 1

What do we have to find?

Answer 2

GiveN :-

• A 50 kg mass is sitting on a frictionless surface. An unknown constant force pushes the mass for 25 seconds until the mass reaches a velocity of 5 m/s.

To FinD :-

• The forrce .

SolutioN :-

Given that a 50 kg mass is sitting on a frictionless surface. An unknown constant force pushes the mass for 25 seconds until the mass reaches a velocity of 5 m/s. We need to find the force . Lets find out the acceleration . Using first equation of motion ,

$\sf:\implies \pink{ v = u + at }\\\\\sf:\implies 5m/s = 0m/s + a(25) \\\\\sf:\implies 25a = 5 \\\\\sf:\implies a =5\times\dfrac{1}{25} m/s^2 \\\\\sf:\implies \boxed{\pink{\frak{ Acceleration= \dfrac{1}{5} m/s^2 }}}$

$\rule{200}2$

$\red{\bigstar}$Using Formula of Force :-

$\sf:\implies \pink{ Force = mass\times acceleration }\\\\\sf:\implies F = 50kg \times \dfrac{1}{5} m/s^2 \\\\\sf:\implies\underset{\blue{\sf Required \ Force}}{\underbrace{\boxed{\pink{\frak{ Force = 10 \ Newtons }}}}}$