The average counting rate of a radioactive sample is 486 cpm. Find the probability that in any given 10 second interval one gets less than 72 counts. Is this the same as the probability of getting less than 72x6=432 counts in 60 s?

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Patrina SchowalterLv2

11 Feb 2019

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A system consists of a vertical spring with force constantk=1,250N/m, length L=1.50m, and object of mass m=5.00kg attached tothe end. The objects is placed at the level of the point ofattachment with the spring un-stretched, at position yi=L, and thenit is released so that it swings like a pendulum. (a) WriteNewton's second law symbolically for the system as the objectpasses through it's lowest point. (Note that at the lowest point,r=L-yf) (b) Write the conservation of energy equation symbolically,equating the total mechanical energies at the initial point andlowest point. (c) Find the coordinate position of the lowest point.(d) Will this pendulum's period be greater or less than the periodof a simple pendulum with the same mass m and length mass L?Explain.

If your deriving a formula can you show me how you derived becausemy teacher counts off if we don't derive the formulas. Thankyou!

Given these two circuits (inductor is ideal zero internalresistance) and batteries are same and resistors are the same.

1) the potential of each circuit are increased at the same rate.What happens to the currents of each circuit. (comparing thecurrents of each 'just the relative')
i left (greater than less than equal to) i right

2) potential left at a constant potential for a long time.

i left (greater than less than equal to) i right

3) potential decreased and the same rate.

i left (greater than less than equal to) i right

PLEASE CHECK MY REASONING (brief: we know inductors opposedchanges ... etc)

1) I left greater than I right... since the inductor... back emfetc opposes change in potential and change in current.

2) after a long time the currents will be the same... inductoracts as a wire with no changes..

3) I left less than I right.... Since the current in the leftwill decrease immediately while the right will not...

Thanks for looking this over... Of course the explanation can beway more in depth just want to double check my answers if you wantto elaborate more that would be extremely helpful.

Learning Goal: To understand length contraction and timedilation.

An inertial frame of reference is one in which Newton's laws hold.Any frame of reference that moves at a constant speed relative toan inertial frame of reference is also an inertial frame. Theproper length l_0 of an object is defined to be the length of theobject as measured in the object's rest frame. If the length of theobject is measured in any other inertial frame, moving with speed urelative to the object's rest frame (in a direction parallel tol_0), the resulting length l is given by the length contractionequation

l = l_0\sqrt{1-\frac{u^2}{c^2}} ,

where c is the speed of light. Similarly, if two events occur atthe same spatial point in a particular reference frame, and anobserver at rest in this frame measures the time interval betweenthese two events, the time interval so measured is defined to bethe proper time Delta t_0. When the time interval is measured inany other inertial frame, again moving with speed u relative to thefirst frame, the resulting time interval Delta t is given by thetime dilation equation

\Delta t = \frac{\Delta t_0}{\sqrt{1-\frac{u^2}{c^2}}} .

a. Suppose that you measure the length of a spaceship, at restrelative to you, to be 400 \rm m. How long will you measure it tobe if it flies past you at a speed of u = 0.75c?
Express the length l in meters to three significant figures.

b. The spaceship from Part A has a large clock attached to itsside. This clock ran at the same rate as your watch when you werein the same reference frame. How much time Delta t will pass onyour watch as 80 \rm s passes on the clock attached to theship?
Express your answer in seconds to three significant figures.

c. Two spaceships, named A and B, are flying toward each other withrelative speed 0.800c. If the captain of ship A fires a missile,counts 10.0 \rm s on his watch, and then fires a second missile,how much time Delta t will the captain of ship B measure to havepassed between the firing of the two missiles?
Express your answer in seconds to three significant figures.

d. The captain of ship B knows that ship A uses 2-m-long missiles.She measures the length of the first missile, once it has finishedaccelerating, and finds it to be only 0.872 \rm m long. What is thespeed u of the missile, relative to ship B?
Express your answer in meters per second to three significantfigures. Use c = 3 \times 10^8 \; \rm m/s.

Please answer fully... thank you

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The average counting rate of a radioactive sample is 486 cpm. Find the probability that in any given 10 second interval one gets less than 72 counts. Is this the same as the probability of getting less than 72x6=432 counts in 60 s?

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