Question

A hot air balloon with a mass of 400 kg moves across the sky with 3200 J of kinetic energy. The velocity of the balloon is blank meters over seconds.

a) 20
b) 10
c) 8
d) 16

Answer 1

The velocity of a hot air balloon with a mass of 400 kg and 3200 J of kinetic energy, calculated using the kinetic energy formula, is 4 m/s. None of the options provided are correct.

Step-by-step explanation:

The student's question involves calculating the velocity of a hot air balloon given its kinetic energy and mass. The formula to find the kinetic energy (K) is:

K = 1/2 mv²,

where m is the mass and v is the velocity. We rearrange the formula to solve for velocity v:

v = √(2K/m).

Now substitute the given values into the equation:

v = √(2*3200 J / 400 kg) = √(16 m²/s²) = 4 m/s,

Therefore the correct answer is none of the options provided are correct.