Math 20-2
E7 - MODULE 5: LESSON 7 ASSIGNMENT
18 Marks
Please show your work.
1. As a jet aircraft exceeds the speed of sound, it sets up a shock wave that may be heard as a
sonic boom if the sound barrier is broken
...
Math 20-2
E7 - MODULE 5: LESSON 7 ASSIGNMENT
18 Marks
Please show your work.
1. As a jet aircraft exceeds the speed of sound, it sets up a shock wave that may be heard as a
sonic boom if the sound barrier is broken close to Earth. The speed of sound varies with the air
temperature. A formula for the speed of sound in km/h, based on the temperature of the gas or
air in degrees Kelvin and the molecular mass of the gas in g/mol, is . In the
formula, T equals temperature, s equals speed of sound, and m is the molecular mass of the
gas or air.
(2 marks) a. What is the speed of sound at an altitude of 4.9 km, where the temperature is 256 ° K, if the
average molar mass of a normal air mixture is 28.8 g/mol?
Answer:
(2 marks) b. What is the speed of sound in helium if the temperature is 300K and the molar mass of
helium is 4.0 g/mol? Note: Solving this question should help you understand why a person’s
voice sounds so funny after breathing helium from a balloon.
Answer:
(3 marks) c. Rearrange the formula to isolate the temperature, and then calculate the temperature at
which the speed of sound in a normal air mixture is 1000 km/h if the molar mass of the air
molecules is 28.8 g/mol.
Answer:
2. Kepler’s third law, can be used to calculate the time it takes for a planet to complete
one orbit of a star. The average radius of the planet’s orbit in km is r, and K is a constant that
changes depending on the mass of the star.
Math 20-2
(3 marks) a. Calculate the value of K if it takes Earth one year to go around the Sun, and Earth is, on
average, km from the Sun.
Answer:
Answer:
3. The speed that a tsunami travels through water in metres per second is equal to the square
root of ten times the depth of the water in metres.
(1 mark) a. Write an equation that expresses that relationship.
Answer:
(2 marks) b. What is the speed of a tsunami in a bay that is 40 m deep?
Answer:
(3 marks) c. How deep is the water if the tsunami has a speed of 6 m/s?
Answer:
Submit your completed assignment to Dropbox E7 by the deadline.
[Show More]
