Answer:
The balloon would still move like a rocket
Explanation:
The principle of work of this system is the Newton's third law of motion, which states that:
"When an object A exerts a force on an object B (action), object B exerts an equal and opposite force (reaction) on object A"
In this problem, we can identify the balloon as object A and the air inside the balloon as object B. As the air goes out from the balloon, the balloon exerts a force (backward) on the air, and as a result of Newton's 3rd law, the air exerts an equal and opposite force (forward) on the balloon, making it moving forward.
This mechanism is not affected by the presence or absence of surrounding air: in fact, this mechanism also works in free space, where there is no air (and in fact, rockets also moves in space using this system, despite the absence of air).
Answer:
Time required by boat 1 for the round trip is less than that of boat 2.
Hence, boat 1 wins.
Explanation:
Case 1: Boat 1
Speed of boat = ![\frac{distance of river}{time}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%20of%20river%7D%7Btime%7D)
time = ![\frac{distance of river}{speed of boat}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%20of%20river%7D%7Bspeed%20of%20boat%7D)
While going to another end
time = ![\frac{distance of river}{speed of boat}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%20of%20river%7D%7Bspeed%20of%20boat%7D)
time = ![\frac{48}{48}](https://tex.z-dn.net/?f=%5Cfrac%7B48%7D%7B48%7D)
time = 1 hour
While going back,
time = ![\frac{distance of river}{speed of boat}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%20of%20river%7D%7Bspeed%20of%20boat%7D)
time = ![\frac{48}{48}](https://tex.z-dn.net/?f=%5Cfrac%7B48%7D%7B48%7D)
time = 1 hour
Total time taken by boat 1 is,
Total time by boat 1 = 1 hour + 1 hour = 2 hour
Total time by boat 1 = 2 hour
Total time taken by boat 1 for the round trip is 2 hour.
Case 2: Boat 2
Speed of boat = ![\frac{distance of river}{time}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%20of%20river%7D%7Btime%7D)
time = ![\frac{distance of river}{speed of boat}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%20of%20river%7D%7Bspeed%20of%20boat%7D)
While going to another end
time = ![\frac{distance of river}{speed of boat}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%20of%20river%7D%7Bspeed%20of%20boat%7D)
time = ![\frac{48}{24}](https://tex.z-dn.net/?f=%5Cfrac%7B48%7D%7B24%7D)
time = 2 hour
While going back,
time = ![\frac{distance of river}{speed of boat}](https://tex.z-dn.net/?f=%5Cfrac%7Bdistance%20of%20river%7D%7Bspeed%20of%20boat%7D)
time = ![\frac{48}{72}](https://tex.z-dn.net/?f=%5Cfrac%7B48%7D%7B72%7D)
time = 0.66 hour
Total time taken by boat 2 is,
Total time by boat 1 = 2 hour + 0.66 hour
Total time by boat 1 = 2.66 hour
Total time taken by boat 2 for the round trip is 2.66 hour.
Time required by boat 1 for the round trip is less than that of boat 2.
Hence, boat 1 wins.
Using V= vo +at with Vo = 0 and a= 4m/sec2.
V= 0+ 4x8= 32m/s
Since the two waves have equal amplitudes, if the crest of one wave
meets the trough of the other one, they'll add to produce a level of zero
at that location.
The range of a projectile can be found directly using:
R = (v²sin2∅) / g
v = √((98 x 9.81)/(sin(90)))
v = 31.0 m/s