A luggage scale works with a spring. A 30 N bag stretches the spring by 2.4 cm.
Contributed by StemPy LabTry it on paper first. A hint, the key idea and the worked solution are here when you need them.
A luggage scale works with a spring. A bag stretches the spring by .
- What is the spring constant?
- How far does a bag stretch it?
- What load stretches it by ?
Need a reminder? The key ideaShow
Hooke's law. A spring stretched or squashed by pulls or pushes back with
where is the spring constant, in . A load at rest on a spring stretches it until .
The worked solution
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Given. gives .
Plan. Find from Hooke's law, then use it both ways.
Step 1. Spring constant. .
Step 2. A bag. .
Step 3. A stretch. .
Answer: (a) . (b) . (c) .
Check. is times , and is times . The stretch grows in step with the load.
Watch out. Change centimetres to metres before finding , or it comes out times too small.
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