Forces and Motion in Balloons

The video tutorial explains the forces acting on a hot-air balloon tied to the ground. It covers the calculation of the buoyancy force by considering the weight and tension forces. The tutorial also explores the effect of cutting the rope, leading to an unbalanced force and subsequent acceleration of the balloon. The acceleration is calculated using Newton's second law, demonstrating how the balloon would move upwards when the tension is removed.

What is the mass of the hot-air balloon mentioned in the problem?

• 60 kg

• 80 kg

• 100 kg

• 120 kg

Which force acts upwards on the balloon?

• Weight force

• Friction force

• Tension force

• Buoyancy force

What is the role of the tension force in the context of the balloon?

• It balances the weight force.

• It pulls the balloon downwards.

• It has no effect on the balloon.

• It increases the buoyancy force.

How is the weight of the balloon calculated?

• By adding mass and gravitational field strength.

• By subtracting gravitational field strength from mass.

• By dividing mass by gravitational field strength.

• By multiplying mass by gravitational field strength.

What is the total buoyancy force acting on the balloon?

• 60 N

• 784 N

• 840 N

• 800 N

What happens to the forces when the rope is cut?

• The tension force increases.

• The buoyancy force decreases.

• The weight force disappears.

• An unbalanced force is created.

What is the unbalanced force acting on the balloon after the rope is cut?

• 60 N

• 800 N

• 0 N

• 784 N

According to Newton's second law, how is acceleration calculated?

• By adding unbalanced force and mass.

• By subtracting mass from unbalanced force.

• By dividing unbalanced force by mass.

• By multiplying unbalanced force by mass.

What is the acceleration of the balloon once the rope is cut?

• 0.2 m/s²

• 0.1 m/s²

• 0.3 m/s²

• 0.4 m/s²

In which direction does the balloon accelerate after the rope is cut?

• Upwards

• It remains stationary

• Downwards

• Sideways