# David eats a basket of chocolates and cake that contains 20,000 calories of energy, then regrets it and thinks about how far up a mountain he will need to climb to work off this energy. Can you give him an answer?

$20 , 000$ calories (not kilocalories) is $83 , 700$ $J$
${E}_{p} = m g h$, so $h = {E}_{p} / \left(m g\right) = 83 , \frac{700}{50 \times 9.8} = 170$ $m$
If it meant kilocalories we need to multiply this answer by 1000, which would make it $170$ $k m$, which is much taller than any mountain on earth.