Answer:
(a) 
(b) 
Solution:
According to the question:
Capacitance, C = 
Voltage of the battery, 
(a)The Energy stored in the Capacitor is given by:
(b) When the voltage of the battery is 6.00 V, the the energy stored in the capacitor is given by:
Answer:
Length of Eiffel tower, when the temperature is 35 degrees = 300.21 m
Explanation:
Thermal expansion is given by the expression
Here length of Eiffel tower, L = 300 m
Coefficient of thermal expansion, α = 0.000012 per degree Celsius
Change in temperature, = 35 - (-24) = 59degrees Celsius
Substituting
Length of Eiffel tower, when the temperature is 35 degrees = 300 + 0.2124 = 300.21 m
Kinetic energy = 0.5 * m * v²
m mass
v velocity
If the velocity stays the same and the kinetic energy goes down by a factor of 2, the mass must go down by a factor of 2 also.
Answer:
the resulting angular acceleration is 15.65 rad/s²
Explanation:
Given the data in the question;
force generated in the patellar tendon F = 400 N
patellar tendon attaches to the tibia at a 20° angle 3 cm( 0.03 m ) from the axis of rotation at the knee.
so Torque produced by the knee will be;
T = F × d⊥
T = 400 N × 0.03 m × sin( 20° )
T = 400 N × 0.03 m × 0.342
T = 4.104 N.m
Now, we determine the moment of inertia of the knee
I = mk²
given that; the lower leg and foot have a combined mass of 4.2kg and a given radius of gyration of 25 cm ( 0.25 m )
we substitute
I = 4.2 kg × ( 0.25 m )²
I = 4.2 kg × 0.0626 m²
I = 0.2625 kg.m²
So from the relation of Moment of inertia, Torque and angular acceleration;
T = I∝
we make angular acceleration ∝, subject of the formula
∝ = T / I
we substitute
∝ = 4.104 / 0.2625
∝ = 15.65 rad/s²
Therefore, the resulting angular acceleration is 15.65 rad/s²
