You are driving at 40 miles per hour and you speed up to 60 miles per hour over the course of 20 miles. How long were
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Question:<em> </em><em>Find, separately, them mass of the balloon and the basket (incidentally, most of the balloon's mass is air)</em>
Answer:
The mass of the balloon is 2295 kg, and the mass of the basket is 301 kg.
Explanation:
Let us call the mass of the balloon and the mass of the basket
, then according to newton's second law:
,
where is the upward acceleration, and
is the net propelling force (counts the gravitational force).
Also, the tension in the rope is 79.8 N more than the basket's weight; therefore,
and this tension must equal
Combining equations (2) and (3) we get:
since , we have
Putting this into equation (1) and substituting the numerical values of and
, we get:
Thus, the mass of the balloon and the basket is 2295 kg and 301 kg respectively.