Question

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. how high would stephanie have to climb to test the claim if she has a mass of 65.0 kg?

a. 3.0 x 101 m
c. 1.0 x 101 m
b. 2.1 x 101 m
d. 1.3 x 101 m

Answer 1

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

`(375*1.7)/(100) = (637.5)/(100) =6.375\ kJ`

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,

`6,375=65*9.8* h \\ \\ h= (6,375)/(637) =10.0078\approx\bold{1.0*10^1 \ m}`

Therefore, Stephanie have to climb a height of
`\bold{1.0*10^1 \ m}` to test the claim.