A force of 304.0 N is used to push a 160 kg mass 30.0 m horizontally in 3.00 s.
To solve this problem, we can use Newton's second law of motion, which states that force equals mass times acceleration (F = ma). In this case, we can find the acceleration by using the formula for motion with constant acceleration:
a = (vf - vi)/t
Where vf is the final velocity, vi is the initial velocity (which is 0 since the mass starts from rest), and t is the time taken.
First, let's calculate the acceleration:
a = (vf - vi)/t
a = (30.0 m/s - 0)/3.00 s
a = 10.0 m/s^2
Now that we have the acceleration, we can find the force using Newton's second law:
F = ma
F = 160 kg * 10.0 m/s^2
F = 1600 N
So the force required to push a 160 kg mass 30.0 m horizontally in 3.00 s is 1600 N.