Answer:
The mass of the earth, 
Explanation:
It is given that,
Time taken by the moon to orbit the earth, 
Distance between moon and the earth,
We need to find the mass of the Earth using Kepler's third law of motion as :
So, the mass of the earth is 
. Hence, this is the required solution.
Answer:
Explanation:
Given
Required
Rewrite using scientific notation
The format of a number in scientific notation is
Where 
So the given parameter can be rewritten as
Express as a power of 10
Hence, the equivalent of the mass of the sun in scientific notation is:
Answer:
Explanation:
horizontal is zero slope, and the vertical is undefined
It started off with 68% less than it did at the peak, and later created a void and melted the remainder of the ice at about 92%
W=20 e(-kt)
A. Rearranging gives k= -(ln(w/20)/t
Substituting w= 10 and solving gives k=0.014
B. Using W=20e(-kt). After 0 hours, W=20. After 24 hours, W=14.29g. After 1 week (24x7=168h) W=1.9g
C. Rearranging gives t=-(ln(10/20)/k. Substituting w=1 and solving gives t=214 hours.
D. Differentiating gives dW/ dt = -20ke(-kt). Solving for t=100 gives dW/dt = 0.07g/h. Solving for t=1000 gives 0.0000002g/h
E. dW/dt = -20ke(-kt). But W=20e(-kt) so dW/dt = -kW
