Answer:
θ = 3.38 degrees
r = 0.48mi
Explanation:
a) Start by converting 1.7 mi into feet.
1mile = 5280 feet,
so 1.7 mi = 8976 ft
so
and θ = 3.38 degrees
b )Now to gain another 150 ft of elevation, again use the
equation y=rsin(θ)
150 = rsin(3.38)
r = 2544.187 ft.
Convert r = 2544.187 ft into miles by dividing by 5280,
and r = 0.48mi
The elastic potential energy increases by a factor of 9
Explanation:
The elastic potential energy of a bowstring is given by
(1)
where
k is the spring constant
x is the elongation of the bowstring
Hooke's law states the relationship between the force applied and the elongation of an elastic object:
where
F is the force applied
x is the elongation
We can rewrite it as
And substituting into (1),
In this problem, the force applied to the bowstring is tripled,
F' = 3F
So the final elastic potential energy is:
So, the elastic potential energy increases by a factor of 9.
Learn more about potential energy:
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