Asked by Carol Green on Apr 27, 2024
Verified
A force of 404040 pounds stretches a spring 666 inches. Use Hooke s Law to determine the force required to stretch the spring 6.56.56.5 inches. Round your answer to one decimal place.
A) 56.756.756.7 inches
B) 393939 inches
C) 43.343.343.3 inches
D) 47.647.647.6 inches
E) 60.760.760.7 inches
Hooke's Law
A principle stating that the force needed to extend or compress a spring by some distance scales linearly with respect to that distance.
- Implement knowledge on the concept of variation, including both direct and inverse types, in resolving challenges associated with physical laws, for instance, Hooke's Law.
Verified Answer
ZK
Zybrea KnightMay 02, 2024
Final Answer :
C
Explanation :
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.
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.
Learning Objectives
- Implement knowledge on the concept of variation, including both direct and inverse types, in resolving challenges associated with physical laws, for instance, Hooke's Law.
Related questions
A Baby Weighing 8 Pounds Compresses the Spring of a Baby ...
A Force Of 55 Pounds Stretches a Spring 3 Inches Use Hooke ...
Write an Equation That Relates the Variables \text { sixth } ...
Write a Verbal Sentence Using Variation Terminology to Describe the ...
Write an Equation That Relates the Variables \(\text { ffth power ...