Accel Physical Science Final Math/Formula Review

Name: ______Section: ______Accel Physical Science Final Math/Formula Review

Use the correct formula to answer the following problems. Show work and circle your answers. 1. If you travel 50 km due east in 2 hours, what is your velocity in meters per second?

2. When a kayak races downstream, it’s moving at a speed of 4 m/s. How far does the kayak travel in 40 seconds?

3. A car is stopped at a red light. When it turns green it accelerates to 30 m/s in one minute. What is the acceleration of the car?

4. You pull a rope with a force of 25 N back and your friend pulls the same rope from the opposite side 30 N. What is the net force?

5. A rock is dropped from a cliff. What is the rock’s change in velocity after 5 seconds?

6. What is the mass of a running back as he runs across the field at a constant velocity of 6m/s? The running back’s momentum is 450 kg m/s.

7. How much force is needed to accelerate a 300 kg cart at 2 m/s2?

8. What is the mass of a person with a weight of 425 N? Acceleration due to gravity is 9.8 m/s2.

9. What is the weight of a 75 kg object?

10. How far has a bicycle traveled in 150 minutes if it is traveling at an average speed of 40 km/hr?

11. What is the acceleration of a 1500 g mass if a force of 70 N acts on it?

12. What is the mechanical advantage of a ramp that has a length of 20 m and a height of 2 m?

13. How much work did Jon do when he applied a force of 36 N to move a box 5 m?

14. What is the mechanical advantage of the simple machine that changed your 22 N force to a 66 N force on a lid?

15. What is the length of a ramp that has an ideal mechanical advantage of 4 and a height of 75 cm?

16. What is the machine’s mechanical efficiency if the work input is 45 J and the work output is 35 J?

17. What is the power rating of a machine that does 800 J or work in 15 seconds?

18. If a mountain goat has 9000J of gPE, what is its height if its mass is 95kg?

19. What is the kinetic energy of a go-cart with a mass of 400 Kg traveling at 10 m/s? 20. What is the mechanical energy of a ball that has 25 J of kinetic energy and 15 J of potential energy?

21. What is the potential energy of a 2 kg rock that is 15 meters off the ground?

22. What is the change in temperature of a 1.3 kg piece of copper that received 12,300 J of energy? The specific heat of copper is 390 J/kgC.

23. Convert 450 K to Celsius.

24. How much thermal energy is transferred to a 750 g aluminum part if its temperature increased 12 oC? The specific heat of Al is 900 J/kg oC.

25. What is the speed of a wave that has a wavelength of 4.5 m and a frequency of 7.4 Hz?

26. What is the frequency of a wave if it is moving at a speed of 18 m/s? The wavelength is 0.7m.

27. What is the voltage in a circuit if the current rating is 6 A and the resistance is 12 Ω?

28. How much electrical energy does a 100 watt light bulb use if it is on for 3 days?

29. What is the power rating of an appliance that draws 3A at 120 V? 30. What is the acceleration of a cart that has a mass of 50 kg being pushed with a force of 550N?

31. A car with a mass of 1600 kg moves along with a velocity of 16 m/s, what is the car’s momentum?

32. What is the force of a marble that is accelerating at 14 m/s2? The marble’s mass is .08 kg.

33. A group of teens traveled 160 km by car to a beach resort. If the driving time was 2.5 hr, what was the average speed of their vehicle during the trip?

34. A mouse runs 2.3 m in 5 seconds, then runs 2.8 m in 3 seconds, then finally runs 2.9 m in 2 seconds. What is the average speed of the mouse?

35. How much work is done on a 22N box that is moved 5 meters?

36. How much effort (input force) is used to lift a 120N box with a pulley? The mechanical advantage of the pulley is 5.

37. How much power is used when a machine applies 400N of force to lift an object 4 meters in the air in 10 seconds?

38. How much work is done if a 450 N runner runs 5000 m? 39. What is the voltage if the current is 0.8 amps and the resistance is 3 ohms?

40. A computer monitor draws 2.4 amps at a voltage of 120 volts. What is the power rating of the monitor?

41. How much electrical energy does a 60 W lightbulb use if it is left on for 12 hours?

42. The distance between CR-North and CR-South is 5 km. if it takes 40 minutes to walk to South, what was your speed in m/s?

43. If a car was moving 10 m/s and came to a complete stop in 4.2 seconds, what was its acceleration?

44. What is 470000000 grams in scientific notation?

45. If you have 12 kg of an unknown substance and know it takes 23,100 J of energy to raise it’s temperature 5o C, what is the specific heat of the substance?

46. How much energy is wasted by a 6V battery drawing 2 amps of current for one day?

47. How much would it cost if you let five 60 W lightbulbs on for 8 days while on vacation? The electric company charges $0.15/kWh.