Not exactly. It looks very similar to the guess for undamped free vibrations, y = A cos(omega_0 t) + B sin(omega_0 t), and I can see where the -delta comes from (the damping part), but why 3t? Isn't 3 = omega, not omega_0? My omega_0 = \sqrt{3/2}, I think.
So my equation is 2y" + y' + 3y...
Homework Statement
A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. If the system is driven by an externam...
Homework Statement
A circular loop of wire can be used as a radio antenna. If an antenna with a diameter of 20.0 cm is located a distance of 2.40 km away from a from a source with a total power of 45.0 kW at a frequency of 101 MHz, what is the maximum emf induced in the loop? (Assume that the...
Homework Statement
A resistor with resistance R and a capacitor with capacitance C are connected in series to an AC voltage source. The time-dependent voltage across the capacitor is given by V_c(t) = V_c_0 sin(wt).
A) What is the amplitude I_0 of the total current I(t) in the circuit?
B...
Many thanks for the quick reply.
B) 20 = V*I1, so V = 20/I1 = 10
I/V = 1/10 + 1/R1 + 1/R2
1/R2 = I/V - 1/10 - 1/5
R2 = (above)^-1 = 20
C) V = E in this case, right? E = 10
D) I2 = V/R2 = .5
E) (I'll call this one I3) I3 = V/10 = 1
F) (I3^2)10 + (I2^2)R2 +20 = 40
G) P = EI...
Homework Statement
In the circuit shown in the figure, the rate at which R1 is dissipating electrical energy is 20.0 W.
A) Find R1
B) Find R2
C) Find emf of battery
D) Find current through R2
E) Find current through 10 ohm resistor.
F) Find total electrical power consumption of the...
Ah ha, gotcha. So the force would change whether it landed on land or sea, and different types of rock and such. Thanks a lot for all your replies. Helped a bunch.
Thanks for your replies.
Going back to the force of impact, he said it depends on deceleration. What would be decelerating it? I would think that air friction would be negligable since the moon is so massive. Is there another decelerating force here or am I am I just wrong about ignoring...
I think that would mean that it's velocity looks like it's 0 viewed from the earth/sun, but it's still moving relative to the universe. I think everything's moving within the universe.
So it would make a noticible difference if the Earth moved into the impact rather than if the moon was on...
If we wanted to get maximum speed, would the speed of the Earth affect it? Let's say the moon stops in front of the Earth's orbit, so the Earth would be moving towards the moon while the moon falls to the earth.
Trying to figure out the effects of the moon falling on the earth. Not just general "big explosion happens," but the physics of it. I'm thinking it wouldn't be too fast, maybe a couple of km/s, but I could be wrong. Would you set the potential energy equal to the kinetic energy and solve for v?
If the moon was to be stopped, what would its velocity be just before hitting the earth? Also, if you could throw in the force of the impact, that would be great too. And another thing, how long would it take?