Does a car speedometer measure speed, velocity, or both?explain
1 answer:
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Answer:
Therefore the surface area of the balloon is increased at 4 cm³/s.
Explanation:
The balloon is being filled with air at a rate of 10 cm³/s
It means the volume of the balloon is increased at a rate 10 cm³/s.
i.e
Consider r be the radius of the balloon.
The volume of of a sphere is
Differentiate with respect to t
The surface of area of the balloon is(S) =
Differentiate with respect to t
Putting the value of
Given that r = 5 cm
=4 cm³/s
Therefore the surface area of the balloon is increased at 4 cm³/s.
The work done to pull the sled up to the hill is given by
where
F is the intensity of the force
d is the distance where the force is applied.
In our problem, the work done is
and the distance through which the force is applied is 
, so we can calculate the average force by re-arranging the previous equation and by using these data:
where
F is the intensity of the force
d is the distance where the force is applied.
In our problem, the work done is