A hot-air balloon and its basket are accelerating upward at 0.265 m/s2, propelled by a net upward force of 688 N. A rope of negligible mass connects the balloon and basket. The rope tension exceeds the basket's weight by 79.8 N.

Question: Find, separately, them mass of the balloon and the basket (incidentally, most of the balloon's mass is air)

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.

that tool is called an altimeter which measures your altitude which can be used to tell which atmosphere you are currently in, including the stratosphere.

hope this ! : )

when jerome paddle in flowing river towards east the net speed of jerome will increase

so the net speed of jerome will be given as

now the speed of paul will be same as it is given as he is running on the ground

so

so here we can say since the speed of jerome is more so he will win the race

now as we know the distance so the time difference is given as

so jerome will reach first and the time difference will be 203.55 s or 3.4 min