Which letter on the diagram below represents the trough of a wave?
2 answers:
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Answer:
The magnitude of the frictional force between the car and the track is 367.763 N.
Explanation:
The roller coster has an initial gravitational potential energy, which is partially dissipated by friction and final gravitational potential energy is less. According to the Principle of Energy Conservation and Work-Energy Theorem, the motion of roller coster is represented by the following expression:
Where:
,
- Initial and final gravitational potential energy, measured in joules.
- Dissipated work due to friction, measured in joules.
Gravitational potential energy is described by the following formula:
Where:
- Mass, measured in kilograms.
- Gravitational constant, measured in meters per square second.
- Height with respect to reference point, measured in meters.
In addition, dissipated work due to friction is:
Where:
- Friction force, measured in newtons.
- Travelled distance, measured in meters.
Now, the energy equation is expanded and frictional force is cleared:
If ,
,
,
and
, then:
The magnitude of the frictional force between the car and the track is 367.763 N.
Answer:
It will take 40 seconds to catch the speeding car
Explanation:
Initial speed of the patrolman = 55 mph
after one minute speed of patrol man = 115 mph
now acceleration of patrolman is given by
now at this acceleration the distance covered by patrolman in "t" time is given as
now we know the speed of the speeding car is given as
now in the same time distance covered by it
now since the distance covered is same