A wheel and axle and an inclined plane.
Answer:
dr/dt = -2 cm/s.
Explanation:
The volume of a cone is given by:
(1)
- r is the radius
- h is the height
Let's take the derivative with respect to time in each side of (1).
(2)
We know that:
- dh/dt = 10 cm / s (rate increasing of height)
- dV/dt = 0 (constant volume means no variation with respect of time)
- r = 4 cm
- h = 10 cm
We can calculate how fast is the radius changing using the above information.
Therefore dr/dt will be:

The minus signs means that r is decreasing.
I hope it helps you!
Answer:

Explanation:
(2.2500x10^3) x (3.00 x10^5)
First add the power values since all are to power 10 hence this will be 3+5=8
Then multiply the digit intergers ie 2.25*3=6.75
Therefore, in scientific notation this will be represented as 
Your answer is Because of gravity
Answer:
a)
, b) 
Explanation:
a) According to the Principle of Energy Conservation, the kinetic energy of the box is transformed into elastic potential energy.

The spring constant is:

b) The initial speed needed to compress the spring by 1.5 centimeters is:

