What is a random motion
2 answers:
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The maximum speed is 10.4 m/s
Explanation:
For a body in uniform circular motion, the centripetal acceleration is given by:
where
v is the linear speed
r is the radius of the circular path
In this problem, we have the following data:
- The maximum centripetal acceleration must be
where is the acceleration of gravity. Substituting,
- The radius of the turn is
r = 10 m
Therefore, we can re-arrange the equation to solve for v, to find the maximum speed the ride can go at:
Learn more about centripetal acceleration:
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Answer:
0.245
Explanation:
When the block is released, the initial elastic potential energy stored in the spring is entirely converted into kinetic energy of the block.
Therefore, we can calculate the initial speed of the block:
where the term on the left is the potential energy and where the term on the right is the kinetic energy, and where
k = 4500 N/m is the spring constant
x = 8.0 cm = 0.08 m is the compression of the spring
m = 3.0 kg is the mass of the block
v is the initial velocity
Solving for v,
Then, after the block is released, all its kinetic energy is converted into thermal energy as the block slows down, due to friction. Therefore, the work done by friction is equal to the initial kinetic energy of the block.
The force of friction is
where
is the coefficient of friction
is the acceleration of gravity
So the work done by it is (in magnitude)
where
d = 2.0 m is the distance covered
Therefore,
And solving for ,