Answer:
x = 2.69 cm
Explanation:
We are given ;
Density of oil; ρ_oil = 924 kg/m³
Density of wood; ρ_wood = 970 kg/m³
h = 3.79cm
Density of water ( ρ_water) has a constant value of 1000 kg/m³
At equilibrium position, we have;
ρ_wood•g•h - ρ_oil•g•(h - x) - ρ_water•g•x = 0
This is because the density of oil is lower than that of water while density of wood is higher than that of oil but lower than that of water.
x is the distance below the interface between the two liquids is the bottom of the block.
Thus, let's make x the subject;
x = [(ρ_wood - ρ_oil)/(ρ_water - ρ_oil)] x h
Plugging in the relevant values to get ;
x = [(970 - 924)/(1000 - 924)] x 3.79
x = (54/76) x 3.79 = 2.69cm
Answer:
200N
Explanation:
Given parameters:
Mass of wagon = 100kg
Acceleration = 2m/s²
Unknown:
Force on the wagon = ?
Solution:
From Newton's second law of motion:
Force = mass x acceleration
Now insert the parameters and solve;
Force = 100 x 2 = 200N
If the rod is in rotational equilibrium, then the net torques acting on it is zero:
∑ τ = 0
Let's give the system a counterclockwise orientation, so that forces that would cause the rod to rotate counterclockwise act in the positive direction. Compute the magnitudes of each torque:
• at the left end,
τ = + (50 N) (2.0 m) = 100 N•m
• at the right end,
τ = - (200 N) (5.0 m) = - 1000 N•m
• at a point a distance d to the right of the pivot point,
τ = + (300 N) d
Then
∑ τ = 100 N•m - 1000 N•m + (300 N) d = 0
⇒ (300 N) d = 1100 N•m
⇒ d ≈ 3.7 m
360.67 is the speed of waves on a violin string of mass 707 mg and length of 21.4 cm if the fundamental frequency is 867 Hz.
Mass per unit length of string н = mass/length
= 505×10⁻⁶ kg/ 0.204 m
= 2.47×10-³ kg/m
∫о
Fundamental frequency ∫о=884 Hz
a. Speed of waves v = 2L∫о
= 2×0.204 m x 884 Hz
=360.67 m/s.
For example, if the fundamental frequency is 50 Hz (also called the first harmonic), the second harmonic is 100 Hz (50 * 2 = 100 Hz), and the third harmonic is 150 Hz (50 * 3 = 150 Hz ). Such.
The fundamental frequency is the lowest frequency of the resonant system. This is an important concept in many aspects of musical instruments and engineering. For example, all harmonics of a particular wave are based on the fundamental frequency.
Learn more about the fundamental frequency at
brainly.com/question/1967686
#SPJ4