The gas pressure inside a high vacuum chamber is 0.000000132atm. Calculate the gas pressure in mmHg and torr. Round each of your answers to 3 significant digits.

0.000000132 atm is  0.000100 mm Hg = 0.000100 torr

Explanation:

Step 1: Data given

Pressure in atmosphere = 0.000000132atm

1 atm = 760 mm Hg

1 torr = 1 mmHg

1 atm = 760 torr

Step 2: Calculate the pressure in torr and mmHg

1 atm = 760 mmHg

0.000000132atm = 760 * 0.000000132 mm Hg

0.000000132atm = 0.00010032 mm Hg

Since 1 torr = 1 mmHg

0.00010032 mm Hg =  0.00010032 torr

Step 3: convert to 3 significant digits

0.00010032 ⇒ 0.000100 mm Hg = 0.000100 torr

0.000000132 atm is  0.000100 mm Hg = 0.000100 torr

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