How much force is needed to accelerate a 50kg rider and his 250kg motorcycle at 4m/s27

F = m*a = (50+250)*4 = 1200 N.

To determine the force needed to accelerate the rider and motorcycle, we can use Newton's second law of motion, which states that the force (F) acting on an object is equal to the product of its mass (m) and acceleration (a), F = m * a.

Given:
Mass of the rider (m1) = 50 kg
Mass of the motorcycle (m2) = 250 kg
Total mass (m) = m1 + m2 = 50 kg + 250 kg = 300 kg
Acceleration (a) = 4 m/s^2

Now, we can substitute the values into the equation F = m * a:

F = 300 kg * 4 m/s^2

F = 1200 N

Therefore, a force of 1200 Newtons is needed to accelerate the rider and motorcycle at 4 m/s^2.