Is potential energy that results from conservative Coulomb forces and is associated with the configuration of a particular set of point charges within a defined system
Answer:
a)
Y0 = 0 m
Vy0 = 15 m/s
ay = -9.81 m/s^2
b) 7.71 m
c) 3.06 s
Explanation:
The knowns are that the initial vertical speed (at t = 0 s) is 15 m/s upwards. Also at that time the dolphin is coming out of the water, so its initial position is 0 m. And since we can safely assume this happens in Earth, the acceleration is the acceleration of gravity, which is 9.81 m/s^2 pointing downwards
Y(0) = 0 m
Vy(0) = 15 m/s
ay = -9.81 m/s^2 (negative because it points down)
Since acceleration is constant we can use the equation for uniformly accelerated movement:
Y(t) = Y0 + Vy0 * t + 1/2 * a * t^2
To find the highest point we do the first time derivative (this is the speed:
V(t) = Vy0 + a * t
We equate this to zero
0 = Vy0 + a * t
0 = 15 - 9.81 * t
15 = 9.81 * t
t = 0.654 s
At this time it will have a height of:
Y(0.654) = 0 + 15 * 0.654 - 1/2 * 9.81 * 0.654^2 = 7.71 m
The doplhin jumps and falls back into the water, when it falls again it position will be 0 again. So we can equate the position to zero to find how long it was in the air knowing that it started the jump at t = 0s.
0 = Y0 + Vy0 * t + 1/2 * a * t^2
0 = 0 + 15 * t - 1/2 * 9.81 t^2
0 = 15 * t - 4.9 * t^2
0 = t * (15 - 4.9 * t)
t1 = 0 This is the moment it jumped into the air
0 = 15 - 4.9 * t2
15 = 4.9 * t2
t2 = 3.06 s This is the moment when it falls again.
3.06 - 0 = 3.06 s
Answer:
A) magnitude = sqrrt(147.1^2 + 61^2) = 159.2 units
B)22.5° (clockwise form -ve X axis)
Explanation:
given vector = V1 = x i - 60 j
magnitude of V1 = 90
x - component can be found out by resultant formula
90^2 = x^2 + (-60)^2
x = 67.08 = 67.1 units (3sf)
FOR THE VECTOR 80 UNITS IN -VE X DIRECTION
The X component is -80-------(1)
The Y component is 0 ---------(2)
<u>For the x- component of new added vector:</u>
(1)----------- x + 67.1 = -80
x = -147.1 = -147.1
<u>For the y- component of new added vector:</u>
<u>(</u>2)---------- y - 61 = 0
y = 61.0 (3sf)
the new added vector is = -147.1 i + 61 j
magnitude = sqrrt(147.1^2 + 61^2) = 159.2 units
direction = arctan (61 / 147.1)
= 22.5° (clockwise form -ve X axis)
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Violet light is at the end of the visible light section of the electromagnetic spectrum. Ultraviolet rays are directly next to violet rays on the EM Spectrum.
Answer: Option (B) is the correct answer.
Explanation:
Convection is defined as a process in which a fluid (liquid or gas) is heated and the cooler liquid (more dense) settles or sinks at the bottom whereas a hotter material (less dense) will rises to the top.
For example, ice being less dense (cooler material) will float in a lake whereas liquid water being more dense will sink at the bottom.
Thus, we can conclude that situation in which convection currents most likely occur is within the water in a lake as ice forms on the top.
