Suppose you are investigating how the day ends hamsters affect how much they run on the hamster wheel. In order to control the e
xperiment which of these should you do?
A. Change only the diet of each hampster.
B. Give all the hamsters the exact same diet.
C. Only allow some hampsters to run on the wheel.
D. Compare the behavior of hamsters and gerbils
A. Change only the diet of each hampster.
B. Give all the hamsters the exact same diet.
C. Only allow some hampsters to run on the wheel.
D. Compare the behavior of hamsters and gerbils
2 answers:
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The fastest speed before the string breaks is 9.5 m/s
Explanation:
The motion of the block is a uniform circular motion, which is a circular motion with constant speed. The force that keeps the block in circular motion is called centripetal force; its direction is towards the centre of the circle and its magnitude is given by:
where
m is the mass of the block
v is its speed
r is the radius of the circle
In this problem, the centripetal force is provided by the tension in the string, T, so we can write:
The string breaks when the centripetal force becomes larger than the maximum tension in the string:
Re-arranging the equation for v,
and here we have:
T = 450 N
m = 10 kg
r = 2 m
Substituting,
So, the fastest speed before the string breaks is 9.5 m/s.
Learn more about circular motion:
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