Copy - 3A1b Activ - 9779662.1 Evidence (Honors) _ How Fast Can you Do Work_

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Jan 9, 2024

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Activity | How Fast Can You Work? Background Information: Work equals force times the distance through which the force acts. Force is expressed in Newtons (N) and distance is expressed in meters (m). Work is expressed in newton-meters, or the simplification, joules (J). The rate at which work is done is called power. Power equals work divided by time. If work is in Joules (J) and time is in seconds (s), power is expressed in joules/second, or the simplification watt (W). James Watt was a British scientist who invented the steam engine. To find out how the power of his engine compared to that of a horse, Watt measured how fast an average horse could do work. He found the answer and expressed the amount of work performed per second as horsepower. One horsepower is the equivalent of 746 W. Purpose: In this activity, we will experience the concepts of Work and Power using simple classroom materials. Please complete the following activity with a partner. You need to complete the data collection for both you AND your partner. If you are working in a group of 3, you must have YOUR data and one other person in your groups. Pre-Lab Questions: 1. What has to happen in order for a force to do work on an object? the object has to have force exerted and has to be in motion to do work. 2. What is the formula for work? work = power/time 3. What is the formula for power? Power = work/time 4. Do you do more work climbing the stairs quickly or climbing the stairs slowly? It would be the same amount of work as you apply the same amount of force and your weight stays the same, as well as the distance 1
Activity | How Fast Can You Work? 5. 5. Does it take more power to climb stairs quickly or climb stairs slowly? It takes more power to climb the stairs more quickly. Procedure: Calculate the work and power that you can do with different muscle groups. PART 1- ARMS 1. Measure the mass of the Bowling Ball Bowling Ball 11.3 kg (Remember to check the units on the scale you are using. 1 lb = 0.454 kg OR 2.2 lbs = 1 kg) 2. Using a meter stick, measure 2 meters from the floor and put a piece of tape on the wall. 3. Lift each bowling ball from the floor to the 2-meter mark. Record your data in the chart below: ARMS Mass (kg) Distance (m) Force (N) F= mg Time (s) Work (J) W = Fd Power (W) P= W/t You – Bowling ball #1 (Slow) 11.3 2 110.74 1.6 221.48 65.14 You – Bowling Ball (fast) 11.3 2 110.74 3.4 221.48 138.43 Partner – Bowling Ball (slow) 11.3 2 110.74 2.51 221.48 76.11 Partner – Bowling Ball (fast) 11.3 2 119.74 .93 221.48 238.15 2
Activity | How Fast Can You Work? PART 2 - LEGS 1. Determine the vertical distance in meters from the first floor to the second floor. To do this, measure the height of each step and count the number of steps between the first and second floor. 2. Measure how long it takes you to walk up the stairs at a slow pace. Record your mass (kilograms) and time (seconds) in the data table. 3. Determine the force used on the stairs by taking your mass (kg) times the acceleration due to gravity (9.81 m/s 2 ) 4. Repeat the procedure but this time move at a faster pace. 5. Calculate the work and power that was produced from this activity and record your data in the table. 6. Repeat the steps above for your lab partner. LEGS Mass (kg) Distance (m) Force (N) F= mg Time (s) Work (J) W = Fd Power (W) P= W/t You – Slow 54 4.44 529.2 16.1 2349.65 145.94 You – Fast 54 4.44 529.2 6.22 2349.65 377.76 Partner – Slow 66 4.44 646.8 18.1 2871.79 158.66 Partner – Fast 66 4.44 646.8 6.71 2871.79 427.99 PART 3 - CHEST 1. Choose a true pushup (on toes) or a simple one (on your knees). 2. Use the bathroom scale to determine the “force” that the arms must apply when doing a push-up. Record this value in the data table. 3. Measure the distance in meters that the top of your shoulder moves in one push-up (from straight arms to bent arms) = .35 m 3
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Activity | How Fast Can You Work? 4. Measure the time it takes you to complete 5 push-ups. Record this in the data table. 5. Measure the time it takes you to complete 10 push-ups. Record this in the data table. 6. Repeat the steps above for your partner. CHEST Distance (m) Force (N) Time (s) Work (J) W = Fd Power (W) P= W/t You – 5 push ups .35 418 6.15 146.3 23.79 You –10 push ups .35 418 12.3 146.3 11.89 Partner – 5 push ups .13 412 5.63 53.56 9.51 Partner – 10 push ups .13 412 12.4 53.56 4.32 PART 4 - ANALYSIS & CONCLUSION QUESTIONS: 1. Which activity requires the most work for you? Explain this using the two variables that affect work. Compared to exercises involving the arms or chest, the stairs activity required more effort since I had to climb the most distance and utilize my full body weight to complete the job. The push ups only used my upper body, and since I do push ups normally, it was not that hard. The bowling ball assignment was not hard at all, or the most work as the ball was very light and did not produce that much work. 2. Which activity produced the most power for you? Explain this using the two variables that affect power. Leg activity because I completed the most work in the quickest amount of time compared to the other assignments. 4
Activity | How Fast Can You Work? 3. Was the power you exerted for each trial (slow vs. fast) on the stairs the same? Why or why not? The power exerted was different because the more time I spent the less power was exerted for the task 4. How did changing the mass (you vs. your partner) influence the work and power output while climbing the stairs? I had more power output because I am heavier and taller, so my work was higher in general than both my partners. 5. Compare your power output in climbing the stairs quickly with the output of a horse by calculating your horsepower (the conversion is on the front of the lab). We produced about ½ horsepower 6. How does your power output in climbing the stairs compare to the power output of a 100- watt light bulb? We exerted about 270 more watts than a lightbulb 7. If your power could have been harnessed and the energy converted to electricity, how many 100-w bulbs could you have kept burning during your climb? 3= 374/100=3.74=3 8. Two people climb to the roof of a building. The old person walked up a gentle ramp, the young person climbed up a steep spiral staircase. Which person did more work? Explain. 5
Activity | How Fast Can You Work? Force × Distance equals Work Although they traveled a lesser distance, the individual who ascended the steep spiral staircase exerted greater power. The individual who ascended a mild ramp, on the other hand, traveled a greater distance with less force. The force opposing gravity was the same for both individuals since they reached the same height. 6
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