Answer: 3.63 km/s
Explanation:
The escape velocity equation for a craft launched from the Earth surface is:
Where:
is the escape velocity
is the Universal Gravitational constant
is the mass of the Earth
is the Earth's radius
However, in this situation the craft would be launched at a height
over the Eart's surface with a space elevator. Hence, we have to add this height to the equation:
Finally:
Answer: My initial velocity is 5 m/s.
Explanation:
In this case, momentum can be conserved.
initial momentum = final momentum
Since both the bodies come to rest after collision,
Final momentum = 0
Let my velocity be v, and mass, m1 = 60 kg
Friend's mass, m2 = 100 kg
Friend's velocity, v2 = 3 m/s
Intial momentum = m1v + m2v2
= 60v + 300
Conserving momentum,
60v + 300 = 0
v= -5 m/s
( Negative sign indicates that me and my friend are moving in opposite directions that is towards each other)
Answer:
Part a)

Part b)

Explanation:
Part a)
Since the diver is moving under gravity
so here its acceleration due to gravity will be uniform throughout the motion
so here we will have

here we have




Part b)
at highest point of his motion the final speed will be zero
so we will have



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