Answer:
Rotational kinetic energy = 0.099 J
Translational kinetic energy = 200 J
The moment of inertia of a solid sphere is 
.
Explanation:
Rotational kinetic energy is given by
where <em>I</em> is the moment of inertia and <em>ω</em> is the angular speed.
For a solid sphere,
where <em>m</em> is its mass and <em>r</em> is its radius.
From the question,
<em>ω</em> = 49 rad/s
<em>m</em> = 0.15 kg
<em>r</em> = 3.7 cm = 0.037 m
Translational kinetic energy is given by
where <em>v</em> is the linear speed.
Answer:
Volume of secret cavity = 4 x 10⁻⁶m³
Explanation:
The weight of the sculpture in air is 15.76 N
Mass of the sculpture = 1.61 kg
Mass = Volume x Density
1.61 = V x 8470
Volume of brass =1.90 x 10⁻⁴ m³
When it is submerged in water, the weight is 13.86 N.
That is
Weight of sculpture - Weight of water displaced = 13.86 N
15.76 - Weight of water displaced = 13.86
Weight of water displaced = 1.9 N
Mass of water displaced = 0.194 kg
Mass = Volume x Density
0.194 = V x 1000
Volume of water displaced =1.94 x 10⁻⁴ m³
Volume of secret cavity = Volume of water displaced - Volume of brass material
Volume of secret cavity = 1.94 x 10⁻⁴-1.94 x 10⁻⁴ = 0.04x 10⁻⁴ = 4 x 10⁻⁶m³
Hi there!
We can use the following equation to relate angular velocity to linear velocity.
v = linear velocity (m/s)
ω = angular velocity (3.46 rad/sec)
r = distance from axis of rotation (.12 m)
Plug in the given values.
Answer:
A.) 355 m/s
B.) 0.71 m
C.) 500Hz
Explanation:
Given that a police car is traveling due east at a speed of 15.0 m/s relative to the earth. You are in a convertible following behind the police car. Your car is also moving due east at 15.0 m/s relative to the earth, so the speed of the police car relative to you is zero. The siren of the police car is emitting sound of frequency 500 Hz. The speed of sound in the still air is 340 m/s
a.) What is the speed of the sound waves relative to you?
Since the car is moving away from the observer, the relative velocity will be:
Relative velocity = 340 + 15
Relative velocity = 355 m/s
b.) What is the wavelength of the sound waves at your location?
Using the wave speed formula
V = frequency × wavelength
Make wavelength the subject of formula.
Wavelength = Velocity / frequency
Wavelength = 355/500
Wavelength = 0.71 m
c.) What frequency do you detect?
Fo = Fs ( C + V ) / ( C + v )
Fo = Fs
That is, the frequency of the observer will be equal to the frequency of the source.
Therefore, Fo = 500Hz
Answer:
0
Explanation:
Assuming your graph and question match the attachment, the average speed is 0. The bug ends up where it started, so its displacement is zero.
average speed = displacement/time = 0/(8 s)
average speed = 0
