Question
(e) As the boat passes over a wave, the gravitational potential energy of the boat increases by 19600 J. mass of boat=8000kg gravitational field strength=9.8N/kg Calculate the change in height of the centre of mass of the boat as it passes ov the wave.
Answer
4.6
(231 Votes)
Nancy
Expert · Tutor for 3 years
Answer
The change in height of the center of mass of the boat as it passes over the wave is
.
Explanation
## Step 1: We are given the increase in gravitational potential energy (
) as
, the mass of the boat (
) as
, and the gravitational field strength (
) as
. We are asked to find the change in height (
) of the center of mass of the boat.## Step 2: We can use the formula for gravitational potential energy to find the change in height. The formula is:###
## Step 3: Rearrange the formula to solve for
:###
## Step 4: Substitute the given values into the formula:###
## Step 5: Calculate the quotient to get the change in height:###
###