Answer:
-50 cm^3/min
Explanation:
The volume of the lollipop is given by

where r is the radius in centimeters.
To find how fast the volume changes, we need to find the rate of change of the volume, which is given by its derivative with respect to time:
(1)
where
dr/dt is the rate of change of the radius
We know that the circumference is

and it decreases by 1 cm per minute, so
(cm/min)
from which we find dr/dt:

Substituting into (1),
(cm^3/min)
And substituting r = 5, we find the rate of change of the volume when the radius is 5 cm:
(cm^3/min)
Answer:
12.5J
Explanation:
Given parameters:
Mass of bucket = 1.7kg
Height = 75cm = 0.75m
Unknown;
Work done on the bucket by the person = ?
Solution:
To solve this problem, we use the work done equation;
Work done = force x distance = mgh
m is the mass
g is the acceleration due to gravity
h is the height
Now, insert parameters and solve ;
Work done = 1.7 x 9.8 x 0.75 = 12.5J
Weight equals mass*gravity
W = mg
Given m = 3.1 kg, g = 9.8 m/s^2
W = (3.1)(9.8)
W = 30.38
D ....Do you remember your teacher going over different physical and chemical reactions....It is a chemical reaction because it will never go back to the previous state...therefore your correct and it is a chemical reaction.
1.) The object's Velocity
Faster it goes, more kinetic energy it has