Download Benchmark Bouns Math Practice

Velocity
1. Calculate the speed for a car that went a distance of 125 kilometers in 2 hours’ time.
2. A baseball is thrown a distance of 20 meters. What is its speed if it takes 0.5 seconds to cover
the distance?
3. How much time does it take for a bird flying at a speed of 45 kilometers per hour to travel a
distance of 1,800 kilometers?
4. A comet is cruising through the solar system at a speed of 50,000 kilometers per hour for 4
hours’ time. What is the total distance traveled by the comet during?
Acceleration
5. A car increases it’s velocity from 0 m/s to 14 m/s in 2 seconds.
6. A bicycle rider increases his speed from 5 m/s to 15 m/s in 10 seconds.
7. A racing car’s velocity is increased from 44 m/s to 66m/s in 11 seconds.
8. A train moving at a velocity of 15 m/s is accelerated to 24 m/s over a 12 second period.
Weight
9. What is the force on a 1 kg ball that is falling freely due to the pull of gravity?
10. What is the mass of a person who weighs 500 N?
11. What is the weight of an object (on earth) that has a mass of 45 kg?
12. Big Bertha tips the scales at 950 Newtons. What is her mass?
Force
13. How much force is needed to accelerate a 66 kg skier at 2 m/sec2?
14. What is the force on a 1000 kg elevator that is falling freely at 9.8 m/sec2?
15. What is the acceleration of a 50 kg object pushed with a force of 500 newtons?
16. The mass of a large car is 1000 kg. How much force would be required to accelerate the car
at a rate of 3 m/sec2?
Work
17. A 45N girl sits on a 8N bench. How much work is done on the bench?
18. A boy lifts a 30N dragon 2 meters above the ground. How much work did the boy do on the
dragon?
19. If you are in a car that is being pulled down a 56.0 m path with a force of 12.5 Newton’s (N),
what is the “work” done on the car?
20. A crane does work of 13,500 J with a force of 5200 N to lift a beam. How far can the beam
be lifted (in meters)?
Mechanical Advantage
21. If an input force of 202 N is applied to the handles of the wheelbarrow in the sample
problem, how large is the output force that just lifts the load? (Hint: Look at the mechanical
advantage for the above sample problem)
22. Suppose you need to remove a nail from a board by using a claw hammer. What is the
input distance for a claw hammer if the output distance is 2.0 cm and the mechanical
advantage is 5.5?
23. The power steering in an automobile has a mechanical advantage of roughly 75. If the input
force on the steering wheel is 49 N, what is the output force that turns the car’s front wheels?
24. An axe used to split wood is driven into a piece of wood for an input distance of 3.0 cm. If
the mechanical advantage of the axe is 0.85, how far apart (output distance) is the wood split?
Density
25. What is the density of CO gas if 0.196 g occupies a volume of 100 ml?
26. A block of wood 3 cm on each side has a mass of 27 g. What is the density of the block?
(Hint, don’t forget to find the volume of the wood)
27. A 10.0 cm3 sample of copper has a mass of 89.6 g. What is the density of copper?
28. A sample of iron has the same dimensions of 2 cm x 3 cm x 2 cm. If the mass of this
rectangular-shaped object is 94 g, what is the density of iron?