Optimistic Balloon Race Analysis

Which balloon will accelerate faster in the Balloon Race?

Given that Balloon A exerts a force of 400 Newtons and Balloon B exerts a force of 600 Newtons, both balloons have the same mass of 200 kg. So, which balloon will accelerate faster?

Answer:

Based on the given data, Balloon B will accelerate faster than Balloon A.

In order to determine which balloon will accelerate faster in the Balloon Race, we can utilize Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma). Since both balloons have the same mass of 200 kg, the equation can be simplified to F = (200 kg)(a).

Given that Balloon A exerts a force of 400 Newtons, we can calculate the acceleration for each balloon:

For Balloon A:

F = (200 kg)(a)

400 N = (200 kg)(a)

a = 400 N / 200 kg

a = 2 m/s^2

For Balloon B:

F = (200 kg)(a)

600 N = (200 kg)(a)

a = 600 N / 200 kg

a = 3 m/s^2

Therefore, based on the calculations, Balloon B will accelerate faster than Balloon A with an acceleration of 3 m/s^2 compared to Balloon A's acceleration of 2 m/s^2.