Question

4
The velocity of the particle is given as v=3tcube +t-1/tsquare. Calculate the net force acting on the body
at time t=2 sec, if the mass of the body is 5 kg_
​

Answer 1

Answer:

180 N

Explanation:

Given Velocity (v) = 3t³ + $\frac{t-1}{t^{2} }$

To get acceleration we must differentiate with respect to time.

    $\frac{dv}{dt}$ = 3(3t²) + $\frac{t^{2}(1) - 2t(t-1) }{t^{4} }$

( I used u/v rule here for differentiation)

By substituting the value for t as t = 2

We get Acceleration (a) = 36 m/s²

And Force = Mass × Acceleration

       Force = 5 × 36 = 180 N