Question

The velocity of a block of mass 6kg as a function of time is v=5t^2+3t+2 m/s . The force associated with the block at time t= 2s is,

Answer 1

The velocity of a block of mass 6kg as a function of time is v = (5t² + 3t + 2) m/s

we know,

“ acceleration is the rate of change of velocity with respect to time.”

so, differentiating given function with respect to time.

we get acceleration, a = dv/dt = 10t + 3

at t = 2sec , acceleration, a = 10 × 2 + 3 = 23 m/s²

from Newton's 2nd law,

F = ma

= 6kg × 23m/s²

= 138 N

hence, The force associated with the block at time t = 2s is 138N