Answer:
D. All of the above
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The horizontal component of the velocity of the ball is calculated by multiplying the speed by the cosine of the given angle.
x-component of speed = (31 m/s)(cos 35°)
= 25.39 m/s
Thus, the horizontal velocity component of the ball is 25.39 m/s.
Answer:
10°C
Explanation:
To convert °F to °C, we use the formula:
°C = (°F - 32) * ( 5/9)
So, to convert 50°F to the equivalent in °C, we can proceed as follows:
°C = ( 50 - 32 ) * (5/9)
°C = ( 18 ) * (5/9), which is, approximately,
°C = 9.999999999... ≈ 10 (5/9 ≈0.555555...)
So, 50°F is equivalent to 10°C.
Given Information:
Wavelength = λ = 39.1 cm = 0.391 m
speed of sound = v = 344 m/s
linear density = μ = 0.660 g/m = 0.00066 kg/m
tension = T = 160 N
Required Information:
Length of the vibrating string = L = ?
Answer:
Length of the vibrating string = 0.28 m
Explanation:
The frequency of beautiful note is
f = v/λ
f = 344/0.391
f = 879.79 Hz
As we know, the speed of the wave is
v = √T/μ
v = √160/0.00066
v = 492.36 m/s
The wavelength of the string is
λ = v/f
λ = 492.36/879.79
λ = 0.5596 m
and finally the length of the vibrating string is
λ = 2L
L = λ/2
L = 0.5596/2
L = 0.28 m
Therefore, the vibrating section of the violin string is 0.28 m long.
Answer:


Explanation:
1 full revolution is
let \theta be the angle of Ron's position.
At t = 0. 
one full revolution occurs in 12 sec, so his angle at t time is

r is radius of circle and it is given as


for r = 30 sec


however, that is centered at (0,0) and the positioned at time t = 0 is (30,0). it is need to shift so that the start position is (30,45). it can be done by adding to y

