Answer:
Explanation:
Since the package remains in contact with the car's seat, the package's speed is equal to the car's speed. At the top on the mountain the package's centripetal force must be equal to its weight:
The centripetal force is defined as:
Here v is the linear speed of the object and r is the radius of curvature. We need to convert the linear speed to :
Now, we calculate r:
Answer:
The shortest distance is
Explanation:
The free body diagram of this question is shown on the first uploaded image
From the question we are told that
The speed of the bicycle is
The distance between the axial is
The mass center of the cyclist and the bicycle is behind the front axle
The mass center of the cyclist and the bicycle is above the ground
For the bicycle not to be thrown over the
Momentum about the back wheel must be zero so
=>
=>
Here
So
Apply the equation of motion to this motion we have
Where
and since the bicycle is coming to a stop
=>
