A 447.5-N force accelerates a go-cart and its driver from 10.3 m/s to 16.7 m/s in 4.01 s. What is the mass of the go-cart plus driver?
a = (V-Vo)/t
V = 16.7 m/s
Vo = 10.3 m/s.
M = F/a
To find the mass of the go-cart plus driver, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.
First, let's calculate the acceleration of the go-cart and its driver. We can use the formula:
acceleration = (final velocity - initial velocity) / time
acceleration = (16.7 m/s - 10.3 m/s) / 4.01 s = 1.595 m/s²
Now, we can rearrange the formula to solve for mass:
mass = force / acceleration
mass = 447.5 N / 1.595 m/s² ≈ 280.88 kg
Therefore, the mass of the go-cart plus driver is approximately 280.88 kg.