Answer:
Explanation:
Let x₀ be the amplitude , ω be the angular velocity
velocity at displacement x ,
v = ω 
at 
v = ω [ 
v² = ω² x
1/2 m v²
= 3/8 m x ω²x₀²
Total energy = 1/2 m ω²x₀²
Kinetic energy as fraction of total energy
= 3/8 m x ω²x₀² x 2 / m ω²x₀²
= 3 / 4
Fraction of potential energy
= 1 - 3/4
1/4
c )
Half kinetic = half potential energy
= 1/4 m ω²x₀²
1/2 m ω²( x₀²- x ² )
x₀²/2 = x₀²- x ²
x² = x₀²/2
x = x₀/√2
Answer:
167.354 m
Explanation:
We are given;
The mass of the car with bad shock;
m = 1500 kg
The distance at which the car sinks; x =
6 cm = 6 × 10^(−2) m
The total mass of 4 people; m_t = 11 kg
The total speed in the highway; V = 65
mph = 29.058 m/s
The spring's constant can be calculated from the formula;
F = Kx
F is also equal to mg.
Thus;
m_t × g = Kx
K = (m_t × g)/x
K = (11 × 9.81)/(6 × 10^(−2))
K = 1798.5 N/m
Mass of car and four people;m_(c+t) = 1500 + 11 = 1511 kg
Thus, the period cam be calculated from the formula;
T = 2π√((m_c+t)/k)
T = 2π√(1511/1798.5)
T = 5.759 s
the distance between adjacent bumps is calculated from;
Velocity = distance/time
Distance = velocity x time
Distance = 29.058 × 5.759
Distance = 167.354 m
Answer:
-1.7534 Kg.m/s
Explanation:
Momentum, p is a product of mass and velocity, expressed as p= mv where m is the mass and v is the velocity which is dependent on the direction. Taking left as negative and right as positive then the initial momentum will be
p=-2.42*3.92+(3.7*2.09)=-1.7534 Kg.m/s
Answer:
Sure, the frequency is 500Hz
Explanation:
Sure, the frequency can be calculated. The needed information which is the speed and wavelength of the wave are known.
Wavelength is the distance between two successive crest and trough of a wave.
Using the relationship
V = fλ
V is the speed of wave
F is the frequency
λ is the wavelength
f = v/λ
Given v = 100m/s, λ = 10cm/0.5 = 20cm
20cm = 0.2m
f = 100/0.2
f = 500Hertz
