216k views
3 votes
The distance D that a spring is stretched by a hanging object varies directly as the weight W of the object. If a 27-kg object stretches a spring 53 cm, find the distance when the weight is 13-kg. Round your answer to the nearest whole centimeter.

User Adamwong
by
7.8k points

2 Answers

3 votes
Cross multiply: 27x = 53*13
x = 53*13/27 = 25.52
Rounds to 26.
User Noveaustack
by
7.7k points
2 votes

Answer:

The distance when the weight is 13-kg is
25.51\\ cm

Explanation:


27\\ Kg mass of object stretches the spring by
53 \\ cm


1 \\ kg mass of object stretches the spring by
(53)/(27) \\ cm


13 \\ kg mass of object stretches the spring by
(53)/(27) * (13)\\= 25.51 \\ cm

User Xavierzhao
by
8.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories