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:
72
Explanation:
The displacement of an object can be found from the velocity of the object by integrating the expression for the velocity.
In this problem, the velocity of the sport car is given by the expression
In order to find the expression for the position of the car, we integrate this expression. We find:
where C is an arbitrary constant.
Here we want to find the displacement after 3 seconds. The position at t = 0 is
While the position after t = 3 s is
Therefore, the displacement of the car in 3 seconds is