How much work? Given speeds and mass

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In summary, the work done by an Olympic triathlete who accelerates herself on her bicycle from 5m/s to 10m/s can be found by subtracting her final kinetic energy from her initial kinetic energy. This is calculated using the equation W = mg\Deltad, where F = ma and W = delta(KE).
  • #1
ital_dj
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Homework Statement


How much work is done by an Olympic triathlete who accelerates herself on her bicycle (combined mass of 105kg) from 5m/s to 10m/s


Homework Equations


W = mg[tex]\Delta[/tex]d


The Attempt at a Solution


Tried solving for d, and plugging in.
 
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  • #2
Your equation would apply if there was gravitational energy involved, but in this question there isn't. Work here is defined as W = Fd where F = ma.
 
  • #3
But still, how would I solve for d?
 
  • #4
Use kinematics to solve for a and d simultaneously.
 
  • #5
W = delta(KE)

All you need to do is subtract her final kinetic energy from her initial kinetic energy to find the answer.
 

1. What is work and how is it calculated?

Work is the measure of energy transfer that occurs when a force is applied to an object and it moves in the direction of the force. It is calculated by multiplying the force applied by the distance the object moves in the direction of the force: work = force x distance.

2. How do you determine the amount of work when given speeds and mass?

To determine the amount of work, you must first calculate the force by using Newton's Second Law: force = mass x acceleration. Then, multiply the force by the distance the object moves in the direction of the force to find the work.

3. Can work be negative?

Yes, work can be negative. This occurs when the force and the displacement are in opposite directions, resulting in work being done against the motion of the object. This is also known as negative work or work done by an external force.

4. What is the unit of measurement for work?

The unit of measurement for work is the Joule (J). One Joule is equal to the amount of work done when a force of 1 Newton is applied to an object and it moves 1 meter in the direction of the force.

5. How does the speed of an object affect the amount of work done?

The speed of an object does not directly affect the amount of work done. However, if the speed of the object is increasing, the amount of work required to achieve that speed will increase as well. This is because a greater force is needed to overcome the inertia of the object and accelerate it to a higher speed.

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