APPLIED MATHEMATICS UNIT 1 EXAM QUESTIONS AND
ANSWERS #1
A 60-kilogram person stands on a compression spring. The spring constant is 2500
newtons per meter. What is the displacement of the spring? - correct answer 0.2352 m
When a force of 36 newtons is applied to spring s1 and s2, the displacement of the
springs is 6 centimeters and 9 cm, respectively.
What is the difference between the spring constants of the two springs? - correct
answer 200
Which terms describe the relationship between applied spring force and spring
displacement? Select all that apply. - correct answer linear
Directly proportional
What force in newtons will accelerate a 7-kilogram bowling ball at 2.5 m/s^2? - correct
answer 17.5 n
A falling rock produces a force of 250 newtons from acceleration due to gravity alone.
What is the rock's mass in kilograms? - correct answer 25.5 kg
What is the acceleration, in m/s^2, of a 2,000,000 -kilogram nasa rocket with an applied
force of 20,000,000 newtons? - correct answer 10
A parent pushes a single child on a swing. Suppose two children now sit on the same
swing, and the parent pushes with the same force.
According to newton's second law of motion, what is the result? - correct answer mass
increases, acceleration decreases
There are 8.8 liters of gas in a piston at a pressure of 1.75 atmospheres. The
temperature remains constant, and the gas is compressed to a volume of 6.2 liters.
What is the new pressure, in atmospheres, inside the piston? - correct answer 2.48
The volume of gas in a container is 125,000 liters, and the pressure is 1.2 atmospheres.
Suppose the temperature remains constant, and the pressure changes to 1.6
atmospheres. What is the new volume of the gas in liters? - correct answer 93750
Which statement represents boyle's law for a constant temperature? - correct answer
decreasing volume of gas increases pressure exerted by the gas.
Which situations are best modeled with exponential decay? Select all that apply. -
correct answer the deer population of a state decreases 0.25% each year.
A scientist claims glaciers are losing 1% of their mass each year.
ANSWERS #1
A 60-kilogram person stands on a compression spring. The spring constant is 2500
newtons per meter. What is the displacement of the spring? - correct answer 0.2352 m
When a force of 36 newtons is applied to spring s1 and s2, the displacement of the
springs is 6 centimeters and 9 cm, respectively.
What is the difference between the spring constants of the two springs? - correct
answer 200
Which terms describe the relationship between applied spring force and spring
displacement? Select all that apply. - correct answer linear
Directly proportional
What force in newtons will accelerate a 7-kilogram bowling ball at 2.5 m/s^2? - correct
answer 17.5 n
A falling rock produces a force of 250 newtons from acceleration due to gravity alone.
What is the rock's mass in kilograms? - correct answer 25.5 kg
What is the acceleration, in m/s^2, of a 2,000,000 -kilogram nasa rocket with an applied
force of 20,000,000 newtons? - correct answer 10
A parent pushes a single child on a swing. Suppose two children now sit on the same
swing, and the parent pushes with the same force.
According to newton's second law of motion, what is the result? - correct answer mass
increases, acceleration decreases
There are 8.8 liters of gas in a piston at a pressure of 1.75 atmospheres. The
temperature remains constant, and the gas is compressed to a volume of 6.2 liters.
What is the new pressure, in atmospheres, inside the piston? - correct answer 2.48
The volume of gas in a container is 125,000 liters, and the pressure is 1.2 atmospheres.
Suppose the temperature remains constant, and the pressure changes to 1.6
atmospheres. What is the new volume of the gas in liters? - correct answer 93750
Which statement represents boyle's law for a constant temperature? - correct answer
decreasing volume of gas increases pressure exerted by the gas.
Which situations are best modeled with exponential decay? Select all that apply. -
correct answer the deer population of a state decreases 0.25% each year.
A scientist claims glaciers are losing 1% of their mass each year.
