A force of $40$ pounds stretches a spring $6$ inches. Use Hooke s Law to determine the force required to stretch the spring $6.5$ inches. Round your answer to one decimal place.
A) $56.7$ inches
B) $39$ inches
C) $43.3$ inches
D) $47.6$ inches
E) $60.7$ inches

Question

Quizplus · Accepted Answer

Hooke's Law states that the force required to stretch a spring is directly proportional to the displacement or change in length of the spring. Mathematically, we can express this as:
F = kx
where F is the force applied, x is the displacement or change in length, and k is the spring constant, which varies depending on the properties of the spring.

To solve this problem, we can use the formula above and solve for k, the spring constant:
k = F/x = 40/6 = 6.67

Now, we can use this value of k to determine the force required to stretch the spring 6.5 inches:
F = kx = 6.67 * 6.5 = 43.3 pounds

Therefore, the answer is C, 43.3 inches.

A Force Of 404040 Pounds Stretches a Spring 666 Inches Use Hooke S Law to Determine the Force Required

A Force Of $40$ Pounds Stretches a Spring $6$ Inches Use Hooke S Law to Determine the Force Required