Answer:
Explanation:
Given
mass of sphere 
diameter of sphere 
radius 

friction will provide resisting torque so
where 







(b)time taken to decrease its rotational speed by 



Answer:
A stone that is dropped down into an empty well
The correct answer to the question is D) 6 joules.
EXPLANATION:
As per the question, four measurements are given i.e 24 m/s, 60 mg, 15 L and 6 J.
We are asked to determine the measurement which corresponds to energy.
Energy is measured in various units like joule, erg, electron volt etc.
Joule is the unit of energy in S.I system.
Hence, the correct measurement which corresponds to energy is 6 joules.
All other measurements like 24 m/s, 60 mg and 15 L are not the measurements of energy. These are the measurements of speed, mass and volume respectively.
Answer:
The cloud moves 9050 meters to the east in 12.5 minutes.
Explanation:
Let suppose that mass of the cloud is negligible. meaning that effects of gravity are negligible and that altitude of the cloud remains constant. If the cloud drifts at constant velocity, travelled distance is defined by following formula:
(1)
Where:
- Velocity, in meters per second.
- Time, in seconds.
If we know that
and
, then the travelled distance after 12.5 minutes is:

The cloud moves 9050 meters to the east in 12.5 minutes.
Answer:
a) vB = 10.77 ft/s
b) W = 11.30 lb*ft
Explanation:
a) W = 8 lb ⇒ m = W/g = 8 lb/32.2 ft/s² = 0.2484 slug
vA <em>lin</em> = 5 ft/s
rA = 2 ft
v <em>rad</em> = 4 ft/s
vB = ?
rB = 1 ft
W = ?
We can apply The law of conservation of angular momentum
L<em>in</em> = L<em>fin</em>
m*vA*rA = m*vB*rB ⇒ vB = vA*rA / rB
⇒ vB = (5 ft/s)*(2 ft) / (1 ft) = 10 ft/s (tangential speed)
then we get
vB = √(vB tang² + vB rad²) ⇒ vB = √((10 ft/s)² + (4 ft/s)²)
⇒ vB = 10.77 ft/s
b) W = ΔK = K<em>B</em> - K<em>A</em> = 0.5*m*vB² - 0.5*m*vA²
⇒ W = 0.5*m*(vB² - vA²) = 0.5*0.2484 slug*((10.77 ft/s)²-(5 ft/s)²)
⇒ W = 11.30 lb*ft