A 20 kg object is floating in space. What is its mass?
1 answer:
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The angular speed of the device is 1.03 rad/s.
<h3>What is the conservation of angular momentum?</h3>A spinning system's ability to conserve angular momentum ensures that its spin will not change until it is subjected to an external torque; to put it another way, the rotation's speed will not change as long as the net torque is zero.
Using the conservation of angular momentum
Here, = the system's angular momentum before the collision
= 0 + mv
= (0.005)(450)(0.752)
= 1.692 kgm²/s
The moment of inertia of the system is given by
I = 2(M₁R₁² + M₂R₂²)+ mR₁²
= 2[(1.2)(0.8)² +(0.5)(0.3)²]+0.005(0.8)²
= 1.6292 kgm²
Here, = Iω
So,
1.692 = 1.6292(ω)
ω = 1.03 rad/s
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Answer:
1/2
Explanation:
The energy stored in a capacitor is given by
where
C is the capacitance
V is the potential difference
Calling the capacitance of capacitor 1 and
its potential difference, the energy stored in capacitor 1 is
For capacitor 2, we have:
- The capacitance is half that of capacitor 1:
- The voltage is twice the voltage of capacitor 1:
so the energy stored in capacitor 2 is
So the ratio between the two energies is