The potential energy of the spring is 6.75 J
The elastic potential energy stored in the spring is given by the equation:
where;
k is the spring constant
x is the compression/stretching of the string
In this problem, we have the spring as follows:
k = 150 N/m is the spring constant
x = 0.3 m is the compression
Substituting in the equation, we get
Therefore. the elastic potential energy stored in the spring is 6.75J .
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Answer:
charge on each
Q1 = 2.06 × C
Q2 = 7.23 × C
when force were attractive
Q1 = 1.07 × C
Q2 = -1.39 × C
Explanation:
given data
total charge = 93.0 μC
apart distance r = 1.14 m
force exerted F = 10.3 N
to find out
What is the charge on each and What if the force were attractive
solution
we know that force is repulsive mean both sphere have same charge
so total charge on two non conducting sphere is
Q1 + Q2 = 93.0 μC = 93 × C
and
According to Coulomb's law force between two sphere is
Force F = .........1
Q1Q2 =
here F is force and r is apart distance and k is 9 × N-m²/C² put all value we get
Q1Q2 =
Q1Q2 = 1.49 × C²
and
we have Q2 = 93 × C - Q1
put here value
Q1² - 93 × Q1 + 1.49 ×
= 0
solve we get
Q1 = 2.06 × C
and
Q1Q2 = 1.49 ×
2.06 × Q2 = 1.49 ×
Q2 = 7.23 × C
and
if force is attractive we get here
Q1Q2 = - 1.49 × C²
then
Q1² - 93 × Q1 - 1.49 ×
= 0
we get here
Q1 = 1.07 × C
and
Q1Q2 = - 1.49 ×
2.06 × Q2 = - 1.49 ×
Q2 = -1.39 × C
Initial speed of the skateboarder (u) = 2 m/s
Distance covered (s) = 18 m
Time taken = 3.3 seconds
Let the acceleration be a.
Using seconds equation of motion:
a = 2.09 m/s^2
Now, Acceleration down the incline = g Sin Θ
g Sin Θ = a
9.8 × Sin Θ = 2.09
Sin Θ =
Θ = 12.31°
Hence, the angle of the inclined plane is: Θ = 12.31°