1. Understand the Forces
* Weight (Force of Gravity): The crate has a mass of 50 kg. The force of gravity acting on it (its weight) is calculated using:
* Weight (Fg) = mass (m) * acceleration due to gravity (g)
* Fg = 50 kg * 9.8 m/s² = 490 N (downward)
* Crane Force: The crane exerts an upward force of 600 N.
2. Calculate the Net Force
* The net force is the difference between the upward force and the downward force:
* Net Force (Fnet) = Crane Force - Weight
* Fnet = 600 N - 490 N = 110 N (upward)
3. Apply Newton's Second Law
* Newton's Second Law states: Fnet = mass * acceleration (a)
* We can solve for acceleration:
* a = Fnet / mass
* a = 110 N / 50 kg = 2.2 m/s²
Answer: The acceleration of the crate is 2.2 m/s² upward.