The Student Room Group
Reply 1
What?
Reply 2
superkillball
The total work done? The work done by the resistance?
Or something else??

I'm also confused! Do you mean that if you had a cyclist peddling up a hill, how would you calculate the work down using the work-energy principle?!
Reply 3
Hoofbeat
I'm also confused! Do you mean that if you had a cyclist peddling up a hill, how would you calculate the work down using the work-energy principle?!

Exactly
Reply 4
superkillball
Exactly

if you have a cyclist going up a hill, the work done is the work done in going upwards and the work done against friction
Reply 5
Force times distance...
Reply 6
mik1a
Force times distance...

...equals work done....
Reply 7
Katie Heskins
...equals work done....

..against the force...
Reply 8
mik1a
Force times distance...


In the direction of the force.
Reply 9
mik1a
Force times distance...

just applying that though doesnt take account of the steepness of the hill nor the friction
Reply 10
Yes it does, because the force will have to be larger to move the body the same distance.
Reply 11
if you want the vector defenition,

W = -∫F.dr
Reply 12
mik1a
Yes it does, because the force will have to be larger to move the body the same distance.

good point...so in which case...f=
the frictional force
added to the force that is required to move the mass upwards. could you get this using f=ma
Reply 13
elpaw
if you want the vector defenition,

W = -∫F.dr

lol cheers
Reply 14
If you are talking about a cyclist peddling up a hill, there is NO work done against friction between the slope and the cyclist because the wheels do not slide but rotate.

The energy used is converted to the gain in gravitational potential energy of the cyclist, the rotational kinetic energy of the wheels, work done against friction between the chain, the pulley and the wheels of the cyclist (and translational kinetic energy of the cyclist if it is not at rest finally).

If there is no work done against friction between the chain, the pulley and the wheels of the cyclist, the force required is equal to the component of its weight along the slope plus the friction. The additional work done does not go to overcome the friction, but to the rotational kinetic energy of the wheels.
Reply 15
keisiuho
If you are talking about a cyclist peddling up a hill, there is NO work done against friction between the slope and the cyclist because the wheels do not slide but rotate.

but we normally model the cyclyst as a particle, so there is friction, and there is no rotational kinetic energy (which isnt covered till M4)