Arrange the objects in order from least to greatest potential energy. Assume that gravity is constant. (Use PE = m × g × h.)
2 answers:
Answer:The objects in order from least to greatest potential energy:
3<1<4<2
Explanation:
1. Potential energy of a 15-kilogram stone found at a height of 3 meters:
2. Potential energy 10 kilograms of water stored at a height of 9 meters:
3. Potential energy 1-kilogram ball located 20 meters in the air:
4. Potential energy box of books weighing 25 kilograms placed on a shelf 2 meters high:
The objects in order from least to greatest potential energy:
3<1<4<2
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a) Time of flight: 22.6 s
To calculate the time it takes for the cargo to reach the ground, we just consider the vertical motion of the cargo.
The vertical position at time t is given by
where
h = 2.5 km = 2500 m is the initial height
is the initial vertical velocity of the cargo
g = 9.8 m/s^2 is the acceleration of gravity
The cargo reaches the ground when
So substituting it into the equation and solving for t, we find the time of flight of the cargo:
b) 7.5 km
The range travelled by the cargo can be calculated by considering its horizontal motion only. In fact, the horizontal motion is a uniform motion, with constant velocity equal to the initial velocity of the jet:
So the horizontal distance travelled is
And if we substitute the time of flight,
t = 22.6 s
We find the range of the cargo: