Calculate Power of 50 kg Boy Running Up 10 m in 7 s

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In summary, when a 50 kg boy runs up a flight of stairs 10 m high in 7 seconds, he is using energy at a rate of 71.5 watts. This can be calculated using the formula P = W/T, where W is the work done (7.15 joules) and T is the time (7 seconds). This calculation assumes a gravitational acceleration of 10 m/s^2.
  • #1
omgitsmonica
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Homework Statement


At what rate is a 50 kg boy using energy when he runs up a flight of stairs 10 m high, in 7 s? Provide answer in watts. (Hint: Rate of change of energy is power) Use g=10 m/s2.


Homework Equations


F=ma
W=Fd
P=W/T



The Attempt at a Solution


10/7 = .143 = A
F = MA, so F = .143*50 = 7.15
W = FD, so W = 7.15 *10
P = W/T, so P = 71.5/7

Is that right? Am I using the correct acceleration and distance and time, or is there more complicated math involved than I thought?
 
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  • #2
Hi,

"10/7 = A"

10 is a distance in metres
7 is a time in seconds

so 10/7 is in metres per second. NOT an acceleration!

Think about energy gains, not forces etc (i.e. not f=ma etc)

Cheers
 
  • #3
I don't know how to do energy gains...
 

1. What is power and how is it calculated?

Power is the rate at which work is done or energy is transferred. It is calculated by dividing work (in joules) by time (in seconds) or by multiplying force (in newtons) by velocity (in meters per second).

2. How much power does a 50 kg boy generate while running up 10 m in 7 seconds?

To calculate power, we need to know the work done and the time taken. In this case, the work done is the weight of the boy (50 kg) multiplied by the height he ran up (10 m), which gives us 500 joules. Dividing this by the time taken (7 s) gives us a power of approximately 71.43 watts.

3. How does the speed of the boy affect his power?

The speed of the boy does not directly affect his power, as power is calculated using force and velocity. However, the faster the boy runs up the 10 m, the less time it will take him to do so, resulting in a higher power output.

4. How can we use this calculation to improve athletic performance?

By understanding the relationship between power, work, and time, athletes can focus on increasing their power output in order to improve their performance. This can be achieved through strength and speed training, as well as proper technique and form.

5. Is power the only factor that affects athletic performance?

No, power is just one factor that contributes to athletic performance. Other factors such as endurance, agility, and coordination also play important roles. Additionally, external factors such as weather conditions and competition level can also impact performance.

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