77.6k views
9 votes
Eric drops a 3.70 kg water balloon that falls a distance of 20.38 m off the top of a building. What is the velocity at the bottom?

User Dafan
by
4.9k points

1 Answer

5 votes

Answer:

The velocity of the balloon at the bottom is 19.99 m/s.

Step-by-step explanation:

Given;

mass of water balloon, m = 3.7 kg

height of fall, h = 20.38 m

The velocity of the balloon at the bottom is calculated from the law of conservation of energy;


K.E_(bottom) = P.E _(top)


(1)/(2)mv^2 = mgh \\\\ v^2 = 2gh\\\\v= √(2gh) \\\\v = √(2* 9.8 * 20.38) \\\\v = 19.99 \ m/s

Therefore, the velocity of the balloon at the bottom is 19.99 m/s.