Final answer:
The net force acting on the cart is 125 N.
Step-by-step explanation:
In order to find the net force acting on the cart, we can use Newton's second law of motion, which states that the net force on an object is equal to its mass multiplied by its acceleration.
Given: Mass of the cart (m) = 25 kg, Initial velocity (u) = 30 m/s, Final velocity (v) = 50 m/s, Time taken (t) = 4 s.
We can first find the acceleration using the formula:
acceleration (a) = (v - u) / t.
Substituting the given values, we get:
a = (50 - 30) / 4 = 5 m/s².
Now, we can calculate the net force using the formula:
net force (F) = mass (m) * acceleration (a).
Substituting the values, we get:
F = 25 kg * 5 m/s² = 125 N.