The car can be lifted to a height of 85.7 m
Explanation:
First of all, we need to conver the energy of the candy bar from kcal to Joules.
Keeping in mind that
1 kcal = 4184 J
The energy of the candy bar is
[tex]E=300 kcal \cdot (4184 J/kcal)=1.26\cdot 10^6 J[/tex]
The work done in lifting the car is equal to the increase in gravitational potential energy of the car, so:
[tex]W=mg\Delta h[/tex]
where
m = 1500 kg is the mass of the car
[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity
[tex]\Delta h[/tex] is the increase in height of the car
If the energy of the candy bar is entirely use to lift the car,
W = E
And so we have
[tex]\Delta h = \frac{E}{mg}=\frac{1.26\cdot 10^6}{(1500)(9.8)}=85.7 m[/tex]
Learn more about gravitational potential energy:
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