Answer:
Part(a): The value of the spring constant is 
.
Part(b): The work done by the variable force that stretches the collagen is 
.
Explanation:
Part(a):
If '
' be the force constant and if due the application of a force '
' on the collagen '
' be it's increase in length, then from Hook's law
Also, Young's modulus of a material is given by
where '
' is the area of the material and '
' is the length.
Comparing equation (
) and (
) we can write
Here, we have to consider only the circular surface of the collagen as force is applied only perpendicular to this surface.
Substituting the given values in equation (
), we have
Part(b):
We know the amount of work done (
) on the collagen is stored as a potential energy (
) within it. Now, the amount of work done by the variable force that stretches the collagen can be written as
Substituting all the values, we can write
Answer:
420J
Explanation:
Power is the time rate of change in energy. Power is the ratio of energy to time. The S.I unit of power is in watts.
Given that the flash lasts for 1/675 s, power output is 2.7 * 10⁵ W. Hence:
Power = Energy / time
Substituting:
2.7 * 10⁵ W = Energy / (1/675)
Energy = 2.7 * 10⁵ W * 1/675 = 400J
Therefore the energy emitted as light is 400J.
Since the conversion of electric energy to light is 95% efficient, hence the energy stored as electrical energy is:
Energy(capacitor) = 5% of 400J + 400J = 0.05*400 + 400
Energy(capacitor) = 420J
False. solar comes from the sun while wind energy comes from the wind. hope this helps!
Answer:
Explanation:
Hooke's law is represented by thee formula
F = ke where F is force in N and K is the spring constant.
Initial length of the spring = 34cm = 0.34 m
mass of 7.00kg hung
weight = mg = 7 × 9.8 = 68.6 N
Final length of the spring = 44.5 cm = 0.445 m
extension = final length - initial length = 0.445 m - 0.34 m = 0.105 m
a) F = Ke
K = F / e = 68.6 N /0.105 m = 653.33 N/m = 0.653 kN/m
b) F = 150 N
k = 653.33 N/m
F = ke
150 N / 653.33 N/m = e
e = 0.23 m
new length = 0.34 + 0.23= 0.57 m = 57 cm
Answer:
A = (27.95 N, 21 N)
Explanation:
The polar co-ordinates are given as:
(r,θ) = (35 N, 37°)
Now, to convert this into polar co-ordinates (x, y), we will use following relations:
r² = x² + y²
(35)² = x² + y²
1225 = x² + y² ----------- equation (1)
and
tan θ = y/x
tan 37° = y/x
y = 0.753 x ------------------- equation (2)
Substituting this value in equation (1):
1225 = x² + (0.753 x)²
1225 = 1.567 x²
x² = 1225/1.567
x = √781.32
x = 27.95 N
using this value in equation (2)
y = (0.753)(27.95 N)
y = 21 N
Therefore, the vector can be represented in polar co-ordinates as:
<u>A = (27.95 N, 21 N)</u>
