Given that a
soft drink company is marketing a new energy drink with the claim that
100 ml yields 1.7 kj. the can contains 375 ml. stephanie drinks the
entire can and then wants to test the claim made by the company by
climbing stairs.
Given that 100 ml yeilds 1.7 kj, then 375 ml will yield
[tex] \frac{375\times1.7}{100} = \frac{637.5}{100} =6.375\ kJ[/tex]
Recall that Joule (J) is a unit of energy and kJ means 1,000 J.
Also recall that energy is given by E = mgh
where, m is the mass of the body, g is the gravitational accerelation = 9.8 m/s^2 and h is the height of the body.
Thus,
[tex]6,375=65\times9.8\times h \\ \\ h= \frac{6,375}{637} =10.0078\approx\bold{1.0\times10^1 \ m}[/tex]
Therefore, Stephanie have to climb a height of [tex]\bold{1.0\times10^1 \ m}[/tex] to test the
claim.
