To determine the force needed to start the crate moving from rest, we need to consider the force of static friction. The force required to overcome static friction and set an object in motion is given by:
F_friction = μ_s * N
where μ_s is the coefficient of static friction and N is the normal force.
The normal force can be calculated as the product of the mass of the crate (m) and the acceleration due to gravity (g):
N = mg
Given:
- Mass of the crate (m) = 30.0 kg
- Coefficient of static friction (μ_s) = 0.297
- Acceleration due to gravity (g) ≈ 9.8 m/s²
Calculating the force required to start the crate moving:
N = mg = 30.0 kg * 9.8 m/s² = 294 N
F_friction = μ_s * N = 0.297 * 294 N ≈ 87.318 N
Therefore, the force needed to start the 30.0 kg crate moving from rest, given a coefficient of static friction of 0.297, is approximately 87.318 N.