How to Calculate the Force Required to Push a Wagon Up an Inclined Plane
What is the force required to push a 30kg wagon up a 0.7 radian inclined plane?
A newton (N) is equal to 1 kgm, and the force due to gravity on the wagon is F = m * g, where m is the mass of the wagon and g is the acceleration due to gravity (9.8 m/s²). Please ignore friction in this problem.
Answer:
The force required to push the 30kg wagon up a 0.7 radian inclined plane is 196 newtons (N).
Explanation:
First, calculate the force due to gravity on the wagon:
Given mass of the wagon, m = 30 kg
Acceleration due to gravity, g = 9.8 m/s²
Force due to gravity, F = m * g = 30 kg * 9.8 m/s² = 294 N
Next, determine the component of the force due to gravity parallel to the inclined plane:
Force parallel to the inclined plane, Fp = F * sin(θ) = 294 N * sin(0.7) = 196 N
Therefore, the force required to push the wagon up the inclined plane is 196 newtons (N).