The energy lost due to friction is 1704 J
Explanation:
To solve this problem, we have to calculate the difference between the initial and the final mechanical energy.
At the top of the first ramp, the mechanical energy of the ski jumper is just potential energy:
[tex]E_i = PE = mgh[/tex]
where
m = 60.0 kg is the mass
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
h = 10.0 m is the height of the ramp
Substituting,
[tex]E_i = (60)(9.8)(10)=5880 J[/tex]
The final mechanical energy is the sum of the potential energy and the kinetic energy when leaving the second ramp:
[tex]E_f = mgh + \frac{1}{2}mv^2[/tex]
where
m = 60.0 kg
h = 2.00 m is the height of the second ramp
v = 10.0 m/s is the speed
Substituting,
[tex]E_f = (60)(9.8)(2.0)+\frac{1}{2}(60)(10)^2=4176 J[/tex]
Therefore, the energy lost due to friction is:
[tex]\Delta E = E_i - E_f = 5880-4176=1704 J[/tex]
Learn more about kinetic and potential energy:
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