A simple harmonic wave of wavelength 18.7 cm and amplitude 2.34 cm is propagating along a string in the negative x-direction at
1 answer:
Answer
Given:
Wavelength = λ = 18.7 cm
= 0.187 m
Amplitude, A = 2.34 cm
Velocity, v = 0.38 m/s
A) Calculate the angular frequency.
Angular frequency,
ω = 2π f
ω = 2π x 2.03
ω = 12.75 rad/s
B) Calculate the wave number:
C)
Since the wave is traveling in the -x direction, the sign is positive between x and t
y (x, t) = A sin(k x - ω t)
y (x, t) = 2.34 sin(33.59 x - 12.75 t)
You might be interested in
Answer:
The increase in pressure within the engine block of the car amounts to 1782.18 ATM.
Explanation:
Provided:
the volume change of water, ΔV = 9%
the bulk modulus for ice, K = 2 x 10⁹ N/m²
It is calculated using the bulk modulus formula;
so when the water freezes, the pressure increase in the automobile engine block is;
Thus, the final pressure increase inside the automobile engine block is 1782.18 ATM.
Answer:
1) Marner experiences a greater change in velocity
2) This happens because Chara has a greater mass compared to Marner, leading to a smaller change in velocity for Chara
Explanation:
Here are the details:
Mitch Marner's mass = 80 kg
Zdano Chara’s mass = 116 kg
Marner's speed prior to the collision = 10 m/s
According to the conservation of momentum, the sum of momentum before the collision equals the sum of momentum afterward:
m₁×u₁ + m₂×u₂ = m₁×v₁ + m₂×v₂
Where;
m₁ = Mitch Marner's mass = 80 kg
m₂ = Zdano Chara's mass = 116 kg
u₁ = Mitch Marner's initial velocity = 10 m/s
u₂ = Zdano Chara's initial velocity = 0 m/s
v₁ = Mitch Marner's final velocity
v₂ = Zdano Chara's final velocity
Assuming a direct collision, both players will have an identical instantaneous velocity just after impact, thus;
v₁ = v₂ = v
The equation can be expressed as;
m₁×u₁ + m₂×u₂ = (m₁ + m₂) × v₂
Substituting the numbers gives;
80 × 10 + 116 × 0 = (80 + 116) × v = 196 × v
Which simplifies to;
80 × 10 + 116 × 0 = 196 × v
800 = 196 × v
Thus, v = 800/196 = 100/49 =
This means the final instantaneous velocity for both Marner and Chara is
The change in velocity for Marner =
The change in velocity for Chara =
Therefore;
1) Marner's velocity changes more significantly
2) The reason being her mass relative to the total mass of both is smaller than Chara's mass relative to their total mass
This indicates that Marner's velocity alteration exceeds that of Chara due to Marner's lower mass.