Answer:
Potential Energy = 294J, Kinetic Engergy = 48.02J
Explanation:
We have these formulas:
Potential Energy = mass * gravitational force * height (m) = 1 * 9.8 * 30 = 294(J)
Kinetic Energy = 1/2 * mass * velocity^2 = 1/2 * 1 * 9.8^2 = 48.02 (J)
As the rock falling at an acceleration of 9.8m/s^2 which means for each second, the rock increases 9.8m/s. I think we are missing time to find the instantaneous velocity, the formula is (initial displacement - final displacement)/ (initial time - final time) which will directly give the final answer for you.
Answer:
Explanation:
N = 65
Area, A = 0.1 x 0.2 = 0.02 m^2
R = 10 ohm
ω = 29.5 rad/s
B = 1 T
(a) at t = 0
e = N x B x A x ω
e = 65 x 1 x 0.02 x 29.5
e = 38.35 V
(b) The maximum rate of change of magnetic flux is equal to the maximum value of induced emf.
Ф = 38.35 Wb/s
(c) e = NBAω Sinωt
e = 65 x 1 x 0.02 x 29.5 x Sin (29.5 x 0.05)
e = 38.174 V
(d) Maximum torque
τ = M B Sin 90
τ = N i A B
τ = N e A B / R
τ = 65 x 38.35 x 0.02 x 1 / 10
τ = 5 Nm
Hello!
Let's put it into symbols:
Change in velocity =
A measurable interval:
This division is:
We can recognize this as the
Average Acceleration 
Answer:
<em>The frequency of the wave is 0.10 Hz
</em>
Explanation:
Number of vibrations or number of waves per unit time is called frequency. The SI unit of frequency is Hz. It is given by the equation
In this question time = 10 seconds
number of waves = 1
Frequency is a characteristic feature of waves. Other characteristics of a wave are time period, amplitude etc. Time period is the time taken for one complete vibration and frequency is obtained by taking the reciprocal of time period.
frequency 
If there are x red marbles initially then 1/5 is a probability in it's lowest form cancelled down from:
<span>1/5 = x/5x </span>
<span>so there are 5x total marbles, x red and 4x blue. </span>
<span>Add 5 new red and the new probability is: </span>
<span>(x+5)/(5x+5) = 1/3 </span>
<span>3x+15 = 5x+5 </span>
<span>2x = 10 </span>
<span>originally there were: </span>
<span>x = 5 red </span>
<span>4x = 20 blue </span>
<span>marbles. </span>
<span>*************** </span>
<span>there are now: </span>
<span>x+5 = 10 red </span>
<span>4x = 20 blue </span>
<span>marbles</span>
