1. Understand the Forces:
* Weight (Force of Gravity): This acts downwards and is calculated as:
Weight (W) = mass (m) * acceleration due to gravity (g) = 50 kg * 9.8 m/s² = 490 N
* Lift Force: This acts upwards and is given as 1000 N.
2. Calculate the Net Force:
* The net force is the difference between the lift force and the weight:
Net force (F_net) = Lift force - Weight = 1000 N - 490 N = 510 N
3. Apply Newton's Second Law of Motion:
* Newton's Second Law states that the net force acting on an object is equal to its mass times its acceleration:
F_net = m * a
4. Solve for Acceleration:
* Rearrange the equation to solve for acceleration:
a = F_net / m = 510 N / 50 kg = 10.2 m/s²
Therefore, the acceleration of the hot air balloon is 10.2 m/s².
