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1 answer:
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Answer:
The maximum height could be 10.6 meters.
Explanation:
For this kind of exercise, we use the general principle for conservation of mechanical energy (E) that states:
(1)
That means the mechanical energy an object has on a point 2 should be equal to the mechanical energy on a point 1 plus the energy transformed into heat due friction denoted as Wf (It is negative because is lost). In our case point 1 is the point where the roller coaster begins and point 2 is at the second hill. Tola mechanical energy is the sum of potential gravitational energy and kinetic energy, so (1) is :
with K the kinetic energy and U the potential energy, remember potential energy is mgh and kinetic energy is with m the mass, v the velocity and h the height, then:
Solving for h_2:
Answer:
D = 3.0 m
Explanation:
- Assuming no other forces than gravity acting upon the criminal, his horizontal velocity must keep constant at 5.0 m/s.
- So, the horizontal displacement, applying the definition of average velocity, is just:
- In the vertical direction, the criminal is in free fall, starting from rest.
- Since we know the dfference in height between both roofs, we can use the kinematic equation for vertical displacement, as follows:
- Solving for t, we get:
- Replacing in (1), we get:
- So, if the horizontal distance between the two buildings is larger than 3.0 m, the criminal will fall to ground.