According to the Hooke’s law formula, the force is proportional to what measurement?
2 answers:
Answer: The correct answer is the displacement of the spring.
Explanation:
Hooke's Law is used to determine the force applied when a spring is compressed or extended. The formula for Hooke's Law is given by the equation:
Removing proportionality sign,
where,
F = force applied on the spring
k = Spring constant
x = Compression or extension of the spring. In other words it is the displacement of the spring.
Hence, from above relation, it is visible that force is directly proportional to the displacement of the spring.
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Answer:
Solution is given in the attachments
Answer:
26b) 66.7%
27) 500 N
Explanation:
26.a) In a two pulley system, the load is attached to one of the pulleys. The other pulley is attached to a fixed surface, as well as one end of the rope. The other end of the rope goes around moving pulley, then around the fixed pulley.
26.b) Mechanical advantage is the ratio between the forces:
MA = load force / effort force
Efficiency is the ratio between the work:
e = work done on load / work done by effort
Work is force times distance.
e = (F load × d load) / (F effort × d effort)
Rearranging:
e = (F load / F effort) × (d load / d effort)
e = MA × (d load / d effort)
In a two pulley system, the load moves half the distance of the effort. So the efficiency is:
e = (4/3) × (1/2)
e = 2/3
e = 66.7%
27) In a three pulley system, the load moves a third of the distance of the effort.
e = (F load / F effort) × (d load / d effort)
0.40 = (600 N / F) × (1/3)
F = 500 N
