Answer:
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]
[tex]x = x_{o} + v_{o}*t+0.5*a*t^{2} \\8 = 0.5*a*(2)^{2} \\a = \frac{8}{0.5*2^{2} } \\a=4 [m/s^2][/tex]
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.
[tex]F = m*a\\where:\\F =force [N]\\m = mass = 10[kg]\\a = acceleration = 4 [m/s^2]\\\\therefore\\F = 10*4\\F= 40 [N][/tex]
