<p>Name: ______Section: ______Accel Physical Science Final Math/Formula Review</p><p>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?</p><p>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?</p><p>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?</p><p>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?</p><p>5. A rock is dropped from a cliff. What is the rock’s change in velocity after 5 seconds?</p><p>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.</p><p>7. How much force is needed to accelerate a 300 kg cart at 2 m/s2?</p><p>8. What is the mass of a person with a weight of 425 N? Acceleration due to gravity is 9.8 m/s2.</p><p>9. What is the weight of a 75 kg object?</p><p>10. How far has a bicycle traveled in 150 minutes if it is traveling at an average speed of 40 km/hr?</p><p>11. What is the acceleration of a 1500 g mass if a force of 70 N acts on it?</p><p>12. What is the mechanical advantage of a ramp that has a length of 20 m and a height of 2 m?</p><p>13. How much work did Jon do when he applied a force of 36 N to move a box 5 m?</p><p>14. What is the mechanical advantage of the simple machine that changed your 22 N force to a 66 N force on a lid?</p><p>15. What is the length of a ramp that has an ideal mechanical advantage of 4 and a height of 75 cm?</p><p>16. What is the machine’s mechanical efficiency if the work input is 45 J and the work output is 35 J?</p><p>17. What is the power rating of a machine that does 800 J or work in 15 seconds?</p><p>18. If a mountain goat has 9000J of gPE, what is its height if its mass is 95kg?</p><p>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?</p><p>21. What is the potential energy of a 2 kg rock that is 15 meters off the ground?</p><p>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.</p><p>23. Convert 450 K to Celsius.</p><p>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.</p><p>25. What is the speed of a wave that has a wavelength of 4.5 m and a frequency of 7.4 Hz?</p><p>26. What is the frequency of a wave if it is moving at a speed of 18 m/s? The wavelength is 0.7m.</p><p>27. What is the voltage in a circuit if the current rating is 6 A and the resistance is 12 Ω?</p><p>28. How much electrical energy does a 100 watt light bulb use if it is on for 3 days?</p><p>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?</p><p>31. A car with a mass of 1600 kg moves along with a velocity of 16 m/s, what is the car’s momentum?</p><p>32. What is the force of a marble that is accelerating at 14 m/s2? The marble’s mass is .08 kg.</p><p>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?</p><p>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?</p><p>35. How much work is done on a 22N box that is moved 5 meters?</p><p>36. How much effort (input force) is used to lift a 120N box with a pulley? The mechanical advantage of the pulley is 5.</p><p>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?</p><p>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?</p><p>40. A computer monitor draws 2.4 amps at a voltage of 120 volts. What is the power rating of the monitor?</p><p>41. How much electrical energy does a 60 W lightbulb use if it is left on for 12 hours?</p><p>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?</p><p>43. If a car was moving 10 m/s and came to a complete stop in 4.2 seconds, what was its acceleration?</p><p>44. What is 470000000 grams in scientific notation?</p><p>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?</p><p>46. How much energy is wasted by a 6V battery drawing 2 amps of current for one day?</p><p>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.</p>