What does the sky look like by a black hole? astronomy
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Let the Blaise runs for time "t" to complete the race
so the total distance he moved is given by
Now Issac runs for time t = "t - 2*60"
because it took rest for 2 minutes
now it is given that Blaise wins by 10 m distance
now the distance moved by Blaise is given by
Let's call h the initial height of the rock (h=50 m, the height of the bridge).
Initially, the rock has only gravitational potential energy, which is given by
where m=10 kg is the mass of the rock while g is the gravitational acceleration. So, the total mechanical energy of the rock at this point is
At midway point of its fall, its height is
, so its potential energy is
But now the rock is also moving by speed v, so it also has kinetic energy:
So the total energy at the midway point of the fall is
(1)
The mechanical energy must be conserved, so
, so we can rewrite (1) and solve it to find the kinetic energy of the rock at midway point of its fall:
Initially, the rock has only gravitational potential energy, which is given by
where m=10 kg is the mass of the rock while g is the gravitational acceleration. So, the total mechanical energy of the rock at this point is
At midway point of its fall, its height is
But now the rock is also moving by speed v, so it also has kinetic energy:
So the total energy at the midway point of the fall is
The mechanical energy must be conserved, so