A coffee filter of mass 1.4 grams dropped from a height of 4 m reaches the ground with a speed of 0.5 m/s. How much kinetic energy did the air molecules gain from the falling coffee filter? Start from the Energy Principle, and choose as the system the coffee filter, the Earth, and the air

0.055 J

Explanation:

We are given that

Mass=m=1.4 g=

1 kg=1000 g

h=4 m

v=0.5 m/s

Potential energy=

Where

Using the  formula

Potential energy of coffee filter lost=

Kinetic energy of coffee filter gain=

Kinetic energy gain by air molecules from the falling coffee filter=Potential energy-Kinetic energy

Kinetic energy gain by air molecules from the falling coffee filter=

Hence, the kinetic energy gain by air molecules from the falling coffee filter=0.055 J

here we know that ball will drop down by total distance 3.2 m

so here we know that

now using kinematics

now in the same time it will cover horizontal distance of 0.75 m

so speed of the ball will be