1. Calculate the frictional force:
* Frictional force (Ff) = coefficient of kinetic friction (μk) * normal force (N)
* Since the crate is on a horizontal surface, the normal force equals the weight of the crate: N = mg, where m is the mass and g is the acceleration due to gravity (approximately 9.8 m/s²).
* Ff = 0.15 * (186 kg * 9.8 m/s²) ≈ 273.3 N
2. Calculate the net force:
* Net force (Fnet) = Applied force (F) - Frictional force (Ff)
* Fnet = 730 N - 273.3 N ≈ 456.7 N
3. Calculate the acceleration:
* Acceleration (a) = Net force (Fnet) / Mass (m)
* a = 456.7 N / 186 kg ≈ 2.45 m/s²
Therefore, the acceleration of the crate is approximately 2.45 m/s².