Answer:
I think you just have to input the horizontal velocity component.
Explanation:
Assuming no air resistance
The horizontal velocity is constant at
vx = 17.5cos71 = 5.6974... = 5.70 i m/s
The vertical velocity varies with gravity
vy = 17.5sin71 + -9.81(22) = -199.273... = -199 j m/s
v = 5.70i - 199j m/s
arguably one should round to only two significant digits
The answer would be 21.6 but rounded up it would be 22J.
Answer:
a. approximately
(first minimum.)
b. approximately
(first maximum.)
c. approximately
(second minimum.)
d. approximately
(second maximum.)
Explanation:
Let
represent the separation between the two speakers (the two "slits" based on the assumptions.)
Let
represent the angle between:
- the line joining the microphone and the center of the two speakers, and
- the line that goes through the center of the two speakers that is also normal to the line joining the two speakers.
The distance between the microphone and point
would thus be
meters.
Based on the assumptions and the equation from Young's double-slit experiment:
.
Hence:
.
The "path difference" in these two equations refers to the difference between the distances between the microphone and each of the two speakers. Let
denote the wavelength of this wave.
.
Calculate the wavelength of this wave based on its frequency and its velocity:
.
Calculate
for each of these path differences:
.
In each of these case, the distance between the microphone and
would be
. Therefore:
- At the first minimum, the distance from
is approximately
. - At the first maximum, the distance from
is approximately
. - At the second minimum, the distance from
is approximately
. - At the second maximum, the distance from
is approximately
.
Answer: 244.05 J
Explanation:
To find speed at 30 m above the ground use equation:
V²=Vo²-2Gs
V0=31.4m/s
s=30m
G=9.81m/s²
-----------------------
V²=31.4²-2*9.81*30
V²=985.96+588.6
V²=1574.56
V=39.68m/s ---speed of arrow on 30 m obove the ground
Use equation for kinetic enrgy:
Ke=mV²/2
m=0.155kg
V=39.68m/s
-------------------------
Ke=0.155kg*(39.68m/s)²/2
Ke=0.155*1574.5/2
Ke=244.05J
This is the same question that I just answered.
Have present the definition of acceleration:
a = Δv / Δt, this is change in velocity per unit of time.
a and v are in bold to mean that they are vectors.
1) a body traveling in a straight line and increasing in speed: CORRECT:
Acceleration is the change in velocity, either magnitude or direction or both. So, a body increasing in speed is accelerated.
2) a body traveling in a straight line and decreasing in speed: CORRECT
A decrease in speed is a change in velocity, so it means acceleration.
3) a body traveling in a straight line at constant speed: FALSE.
That body is not changing either direction or speed so its motion is not accelerated but uniform.
4) a body standing still : FALSE.
That body is not changind either direction or speed.
5) a body traveling at a constant speed and changing direction: CORRECT.
The change in direction means that the body is accelerated. The acceleration due to change in direction is named centripetal acceleration.