Question
Figure 1 shows a person sliding down a zip wire. (a) As the person slides down the zip wire the change in the gravitational potential energy of the person is 147 kJ The mass of the person is 60 kg gravitational field strength=9.8N/kg Calculate the change in vertical __ __ Change in verical height=
Answer
4.6
(302 Votes)
Ina
Professional · Tutor for 6 years
Answer
The change in vertical height is approximately
m.
Explanation
## Step 1: To find the change in vertical height, we need to rearrange the formula for gravitational potential energy, which is
, where
is the gravitational potential energy,
is the mass of the object,
is the acceleration due to gravity, and
is the height of the object from the ground. ### The rearranged formula is
## Step 2:Substitute the given values into the rearranged formula. The gravitational potential energy
is given as
kJ, which is
J (since
kJ =
J). The mass
of the person is
kg and the gravitational field strength
is
N/kg.### The calculation is
## Step 3:Perform the calculation to find the change in vertical height
.