Answer:

Explanation:
Newton's law of cooling
Rate of cooling

Where To is the surrounding temperature
T is object temperature at any time t
now by removing proportionality sign

Now by separating variables


So

Where C is constant

C' is also a constant and it can be find by using boundary conditions.
Average speed = (total distance covered) / (time to cover the distance)
-- Traveling at 40 mph for 1 hour, the distance covered is 40 miles.
-- Traveling at 60 mph for 1 hour, the distance covered is 60 miles.
-- Total distance covered = (40 miles) + (60 miles) = 100 miles
-- Total time = (1 hour) + (1 hour) = 2 hours
-- Average speed = (100 miles) / (2 hours)
<em>Average speed = 50 miles per hour</em>
Answer:
Mass of 17.854 kg is only attached to the spring
Explanation:
We have given time period in first case is 22 sec
Let initially mass is m
After 22 kg are added the period becomes 33 sec
Time period of spring mass system is
, here m is mass and k is spring constant
From the relation we can see that


Squaring both side


m = 17.584 kg
So mass of 17.854 kg is only attached to the spring