Work and energy theorem question

In summary, a 73kg skier with an initial speed of 4.2m/s coasts up a hill inclined at 9.3 degrees to the horizontal. Neglecting friction, the skier slides along the hill until stopping. To determine the distance the skier slides, we can use the work-energy theorem, which involves conservation of energy and the formula W=Fd. If you're still unsure, try researching the work-energy theorem online for more information.
  • #1
slil
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Homework Statement


a 73kg skier coasts up a hill inclined at 9.3 degrees to the horizontal. friction is negligible. Use the work and energy theorem to determine how far along the hill the skier slides before stopping, if the initial speed at the bottom is 4.2m/s


Homework Equations



w=ek ( i think)

The Attempt at a Solution



really don't understand this question (missed the first 2 days of a new unit and am pretty lost :/)
 
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  • #2
No worries - have you tried looking up "Work-Energy Theorem" online?

It's basically a conservation of energy problem, with a shortcut using W=ΔE and W=Fd.
 

What is the work and energy theorem?

The work and energy theorem states that the net work done on an object is equal to the change in its kinetic energy. In other words, the sum of all the external forces acting on an object is equal to the change in its kinetic energy.

How is work calculated?

Work is calculated by multiplying the force applied to an object by the distance it moves in the direction of the force. The formula for work is W = F * d, where W is work, F is force, and d is distance. Work is measured in joules (J).

What is the relationship between work and energy?

Work and energy are closely related, as work is the transfer of energy from one object to another. The work-energy theorem states that the work done on an object is equal to the change in its kinetic energy, showing the direct relationship between the two.

Can work be negative?

Yes, work can be negative if the force applied to an object is in the opposite direction of its displacement. This means that the object is losing energy, rather than gaining it.

How is the work-energy theorem applied in real-life situations?

The work-energy theorem is applied in various real-life situations, such as when calculating the energy used to lift an object, the force needed to stop a moving object, or the energy required to accelerate a car. It is also used in understanding the motion of objects in different types of forces, such as friction or gravity.

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