1. During her soccer game, Erica accidentally kicks the ball (3.6L) into a trash can! The temperature on
the field is 10°C, but in the trash can it is 25°C. Cindy, standing nearby, wonders "hmmm hat is new
volume of the soccer ball if atmospheric pressure did not change?"

The new volume of the soccer ball is 9 litres when temperature inside the can was 25°C and pressure remained constant.

Explanation:

Data given:

initial volume of the ball, V1 = 3.6 litres

temperature of the field, initial temperature, T1 = 10°C

temperature in the trash can, final temperature, T2 = 25 °C

pressure =constant throughout

volume of the ball when in trash can, final volume V2 =?

From the data given:

Charles' Law will be applied to know the volume of the ball in the can:

putting the values in the equation after rearranging it:

V2 =

V2 =

V2 = 9 litres

The volume will be increased to 9 litres when ball will go inside the trash can.

first let us lay out the formula for potential

and kinetic energy:

pe = mgh

ke = (mv^2)/2

where: m=mass, v=velocity, g=gravitational

acceleration, h=height

calculating for mass using the known values of

pe:

340j = m (9.81 m/s^2) (50ft) (1m/3.28ft)

m = 2.27 kg

the law of conservation of energy states that

energy is neither created nor destroyed. therefore, the change in kinetic

energy from 50 ft to 35 ft would be equal to the change in potential energy

from 50 ft to 35 ft. however it would be opposite in signs since one is losing

while other is gaining.

ke(35ft) – ke(50ft) = - [ pe(35ft) – pe(50ft]

ke(50ft) = 0 since the brick is initially at rest

ke(35ft) = 340j - 2.27kg (9.81 m/s^2) (35ft)

(1m/3.28 ft)

ke(35ft)

= 102.38 j