Understanding the Concepts
* Newton's Second Law: This law states that the net force acting on an object is equal to its mass times its acceleration (F = ma).
* Upward Force: The crane exerts an upward force on the crate.
* Gravity: The Earth exerts a downward force on the crate due to gravity (weight). This force is calculated as: Weight (W) = mass (m) * acceleration due to gravity (g), where g is approximately 9.8 m/s².
Calculations
1. Calculate the weight of the crate:
* W = m * g
* W = 50 kg * 9.8 m/s²
* W = 490 N
2. Find the net force:
* The net force is the difference between the upward force from the crane and the downward force of gravity (weight).
* Net Force (F) = 600 N - 490 N = 110 N
3. Apply Newton's Second Law to find the acceleration:
* F = ma
* 110 N = 50 kg * a
* a = 110 N / 50 kg
* a = 2.2 m/s²
Answer: The acceleration of the crate is 2.2 m/s² upwards.
