If the volume of a hot air balloon remains constant, what happens as the temperature of the air inside the balloon increases?
1 answer:
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The man can survive, and he lands 12.1 m from the base of the cliff (into the lake)
Explanation:
The motion of the person is equivalent to the motion of a projectile, which consists of two separate motions:
- A uniform motion (constant velocity) along the horizontal direction
- An accelerated motion with constant acceleration (acceleration of gravity) in the vertical direction
We start by analyzing the vertical motion, to find the time it take for the person to reach the ground level. We can use the following suvat equation:
where
s = 50 m is the vertical distance covered (the height of the cliff)
u = 0 is the initial vertical velocity
is the acceleration of gravity
t is the time of flight
Solving for t,
The person moved horizontally at a constant speed of
So, the horizontal distance covered by the man during his flight will be
So, the man will land on the lake (which starts from 12 m), so he can survive.
Learn more about projectile motion:
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Answer: 3217.79 hours.
Explanation:
Given, A 140 lb. climber saved her potential energy as she descended from Mt. Everest (Elev. 29,029 ft) to Kathmandu (Elev. 4,600 ft).
Power = 0.4 watt
Mass of climber = 140 lb
= 140 x 0.4535 kg [∵ 1 lb= 0.4535 kg]
⇒ Mass of climber (m) = 63.50 kg
Let and
Now, Energy saved =
Hence, she can power her 0.4 watt flashlight for 3217.79 hours.