A10 kg block is at rest c constant force f acts on the block along x- axis ,at time to=2 secs ,the block moves 8m. find f

The force is F = 40[N]

Explanation:

This problem can be solve using the following kinematic equation, in order to find the acceleration.

x = final position = 8 [m]

xo = initial position = 0 [m] "from the rest"

vo = initial velocity = 0 [m/s] "starting from the rest"

a = acceleration [m/s^2]

t = time = 2[s]

Now using the second law of Newton, we can find the force exerted. We make the sum of forces equal to the product of the mass by the acceleration.