The Nardo ring is a circular test track for cars. It has a circumference of 12.5 km. Cars travel around the track at a constant
1 answer:
Answer: 50 km, 0, 27.78 m/s
Explanation:
Given
Circumference of the track is
Speed of car is
Car drives for
(a)Distance traveled is
(b)displacement of the car
It can be observed that 12.5 is a multiple of 50, that is, 50 km can be interpreted as 4 complete rounds of the track.
Therefore, the displacement of the car is zero.
(c)To convert kmph to m/s, multiply the entity by
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We can solve the problem by using the law of conservation of energy.
When the rocket starts its motion from the Earth surface, its mechanical energy is sum of kinetic energy and gravitational potential energy:
where
m is the rocket's mass
is the rocket initial speed
is the gravitational constant
is the Earth's mass
is the distance of the rocket from the Earth's center (so, it corresponds to the Earth's radius)
The mechanical energy of the rocket when it is very far from the Earth is just kinetic energy (because the gravitational potential at infinite distance from Earth is taken to be zero):
where
is the final speed of the rocket.
By equalizing the initial energy and the final energy, we can find the final velocity:
When the rocket starts its motion from the Earth surface, its mechanical energy is sum of kinetic energy and gravitational potential energy:
where
m is the rocket's mass
The mechanical energy of the rocket when it is very far from the Earth is just kinetic energy (because the gravitational potential at infinite distance from Earth is taken to be zero):
where
By equalizing the initial energy and the final energy, we can find the final velocity: