Answer:
Explanation:
m = Mass of each rod
L = Length of rod = Radius of ring
= Mass of ring
Moment of inertia of a spoke
For 8 spokes
Moment of inertia of ring
Total moment of inertia
The moment of inertia of the wheel through an axis through the center and perpendicular to the plane of the ring is .
Answer:
The cannon recoils with a force of 332.5 N
Explanation:
By Newton's third law Recoil force on cannon = Force in shell.
Force in shell = Mass of shell x Acceleration of shell
Mass of shell = 3.5 kg
Acceleration of shell = 95 m/s²
Force in shell = 3.5 x 95 = 332.5 N
Recoil force on cannon = 332.5 N
So, the cannon recoils with a force of 332.5 N
Answer:
xxxx
Explanation:
Mars also has a thin atmosphere. Because of this it has potential to host humans and other organic life. That makes Mars the best choice for thriving colony off the earth. The moon has also been proposed as the first location for human colonization but it not known to have air or water.
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Answer:
5.3 x 10⁻⁹ C
Explanation:
r = radius of cylindrical shell = 10⁻⁵ m
L = length = 0.32 m
A = area
Area is given as
A = 2πrL
A = 2 (3.14) (10⁻⁵) (0.32)
A = 20.096 x 10⁻⁶ m²
d = separation = 10⁻⁸ m
= dielectric constant = 4
Capacitance is given as
eq-1
V = Potential difference across the membrane = 74 mV = 0.074 Volts
Q = magnitude of charge on each side
Magnitude of charge on each side is given as
Q = CV
using eq-1
Inserting the values
Q = 5.3 x 10⁻⁹ C
The stereo uses an energy of
in a time
, therefore the power of the stereo is given by
We also know that the power of an electrical device is related to its voltage, V, and its resistance, R, by the following equation
therefore, we can rearrange the equation to calculate the resistance of the stereo:
