We know that
tan(∅) = y/x; where y will be the height of the balloon and x will be the distance from the milestone marker.
The marker that is further away will produce a smaller angle of depression.
tan(18) = height / x
x = height / tan(18)
The second marker is x + 1 miles away:
tan(16) = height / x + 1; substituting x:
tan(16) = height / (height/tan(18) + 1)
tan(16) x [(height / tan(18) + 1] = height
0.88h + 0.29 = h
h = 2.42 miles
Explanation:
It is given that,
Mass of the ball, m = 1 lb
Length of the string, l = r = 2 ft
Speed of motion, v = 10 ft/s
(a) The net tension in the string when the ball is at the top of the circle is given by :
F = 18 N
(b) The net tension in the string when the ball is at the bottom of the circle is given by :
F = 82 N
(c) Let h is the height where the ball at certain time from the top. So,
Since, 
Hence, this is the required solution.
Answer:
Explanation:
Well you have the voltages right, and that is no trivial matter. Each one of the resistors in a parallel circuit sees the same input voltages (in this case 6).
Now I think it would be a good idea to fill in the the resistance column.
R1 = 3 ohms
R2 = 6 ohms
R3 = 2 ohms
The total resistance can be calculated in two ways. I'll get around to doing both of them but I'll do the conventional way first. One hint: the total resistance must be smaller than the smallest resistor. Read that sentence over a couple of times. What it means is that it must be less than 2 ohms in a parallel circuit.
1/r1 + 1/r2 + 1/r3 = 1/rt
1/3 + 1/6 + 1/2 = 1/rt
Change all the denominators to 6ths.
2/6 + 1/6 + 3/6 = 1/rt
(2 + 1 + 3)/6 = 6/6 = 1
rt = 1
====================
So the current I is V/R
V = 6
R = 1
Current = V/R = 6/1 = 6 amps.
====================
The current in each resistor is
I1 = V / R1
I1 = 6/3 = 2 amps
I2 = V/R2
I2 = 6/6 = 1 amp
I3 = 6/2 = 3 amps
The total is I1 + I2 + I3 = 2 + 1 + 3 = 6 amps.
======================
Remember I said there was 2 ways of figuring out the total resistance. I did one of them about. Here's the other.
R = V / It
R = 6 / 6
R = 1 ohm just what you got before.
====================
Power
P = V * I
P1 = 6 * 2 = 12 watts
P2 = 6*1 = 6 watts
P3 = 6*3 = 18 watts
Pt = 36 watts.
Pt can be done by using the voltage * the total current
Pt = 6 volts * 6 amps = 36 watts, just what you would expect.
Answer:
O The particles of the medium move more slowly and there are fewer chances to transfer energy.
Explanation:
Various media are made up of particles. These particles are in constant motion according to the kinetic theory of matter. Recall that temperature has been defined as the average kinetic energy of the particles in a medium. Hence, for any given medium, the velocity of particle motion increases or decreases linearly with temperature.
The speed of particles in any medium increases or decreases as the temperature of the medium increases or decreases as emphasised above. Hence, at low temperature, the velocity of waves set up by the motion of particles in a medium decreases and transfer the wave energy to neighbouring particles occurs more slowly than at high temperatures.
Answer:
v = √ 2 G M/ 
Explanation:
To find the escape velocity we can use the concept of mechanical energy, where the initial point is the surface of the earth and the end point is at the maximum distance from the projectile to the Earth.
Initial
Em₀ = K + U₀
Final
= 
The kinetic energy is k = ½ m v²
The gravitational potential energy is U = - G m M / r
r is the distance measured from the center of the Earth
How energy is conserved
Em₀ =
½ mv² - GmM / = -GmM / r
v² = 2 G M (1 / – 1 / r)
v = √ 2GM (1 / – 1 / r)
The escape velocity is that necessary to take the rocket to an infinite distance (r = ∞), whereby 1 /∞ = 0
v = √ 2GM /
