What You Need:
Metal spoon
30 inches of kite string (40 inches for an adult)
What You Do:
Tie the handle of the spoon at the midpoint of the string.
Wrap the ends of the string around your index fingers (pointer fingers)
Place your fingers in your ears.
Lean over so that spoon hangs freely and swing the spoon so it taps against a door.
Hit the door again, this time harder.
<span> and you can hear it as a bell ( may be church bell sometimes )</span>
Answer:
dh/dt = 0.0566 feet / min
Explanation:
Volume per second, dV/dt = 30 cubic feet per minute
Diameter of cone = height of cone = h
at h = 15 feet, dh/dt = ?
Volume of cone is
V = πr²h
where, r be the radius of cone
According to question
radius of cone = half of diameter of cone = h /2
So,


Differentiate both sides with respect to h

by substituting the values

dh/dt = 0.0566 feet / min
1) 3 miles/Hour
The speed is defined as the distance covered divided by the time taken:

where
d = 1.5 mi is the distance
t = 0.5 h is the time taken
Substituting,

2) 1.34 m/s south
Velocity, instead, is a vector, so it has both a magnitude and a direction. We have:
is the displacement in meters
is the time taken in seconds
Substituting,

And the direction of the velocity is the same as the displacement, so it is south.
The block on the action of two forces, the Force of Friction and the Tangential Weight. Using the Newton's Secound Law, we have:
Using the Velocity Hourly Equation, we get:
Uniting the equations:
Entering the unknowns:

Obs: Approximate results
If you notice any mistake in my english, please let me know, because i am not native.