The answer is either c or b
Answer:
4.8967m
Explanation:
Given the following data;
M = 0.2kg
∆p = 0.58kgm/s
S(i) = 2.25m
Ratio h/w = 12/75
Firstly, we use conservation of momentum to find the velocity
Therefore, ∆p = MV
0.58kgm/s = 0.2V
V = 0.58/2
V = 2.9m/s
Then, we can use the conservation of energy to solve for maximum height the car can go
E(i) = E(f)
1/2mV² = mgh
Mass cancels out
1/2V² = gh
h = 1/2V²/g = V²/2g
h = (2.9)²/2(9.8)
h = 8.41/19.6 = 0.429m
Since we have gotten the heigh, the next thing is to solve for actual slant of the ramp and initial displacement using similar triangles.
h/w = 0.429/x
X = 0.429×75/12
X = 2.6815
Therefore, by Pythagoreans rule
S(ramp) = √2.68125²+0.429²
S(ramp) = 2.64671
Finally, S(t) = S(ramp) + S(i)
= 2.64671+2.25
= 4.8967m
The acceleration of the given wave is 2.5m/s^2
<h3>Wave property</h3>
The standard wave function is expressed according to the equation
y = Asin(2πft+2πx/λ)
where
λ is the wave length
Given the equation below
y = 0.120 sin((π/8)x + 4πt)
Compare both equation to have:
(π/8)x = 2πx/λ
8 = 2/λ
λ = 2/8
λ = 1/4
λ = 0.25m
For the frequency
Compare both equation to have:
4πt = 2πft
4 = 2f
4/2 = 2f/2
f = 2 Hz
Speed = fλ
speed = 2(0.25)
speed = 0.5m/s
Determine the acceleration
acceleration = change in velocity/time
acceleration = 0.5/ 0.200
acceleration = 2.5m/s^2
Hence the acceleration of the given wave is2.5m/s^2
Learn more on wave function here: brainly.com/question/25699025
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Answer: A medium is any substance or region through which a wave is transmitted. The speed of a wave is dependant on four factors: wavelength, frequency, medium, and temperature. Wave speed is calculated by multiplying the wavelength times the frequency (speed = l * f).
