Question

We’ve already investigated this problem with one spring scale in Think About 34.1. Now, imagine you have two spring scales, A and B, connected at the end of the scale that doesn’t move. The end that moves of each spring scale (where you take readings from) is attached to a string that goes over a pulley and connects to a 1 kg mass for both spring scales A and B. 1 kg 1 kg Spring Scale A Spring Scale B (a) State what you think each spring scale will read in this situation. (b) Construct a logical argument that explains why the spring scales read

Answer 1

Each spring scale should measure a force equivalent to the weight of the 1 kg mass they are supporting, which is approximately 9.8 N, due to the gravitational pull being counteracted by the scale's tension.

Step-by-step explanation:

The situation described involves two spring scales, each supporting a 1 kg mass. Assuming the setup is at equilibrium and discounting any friction in the pulleys or air resistance, each spring scale, Scale A and Scale B, should read approximately 9.8 N. This is because each scale is supporting the weight of a 1 kg mass, and weight is the mass multiplied by the acceleration due to gravity (which is approximately 9.8 m/s2 on the surface of the Earth).

The logical argument for why the spring scales should read the value they do can be constructed based on Newton's second law, which states that the force exerted on an object is equal to the mass of the object multiplied by the acceleration it experiences (F = ma). In this stationary setup, the downward force due to gravity is counterbalanced by the upward force the scales exert through their tension, meaning the force measured by the scales (tension) is equal to the weight of the masses they support.

Answer 2

Explained

Step-by-step explanation:

1.Each of the spring scale will read 10N,considering acceleration due to gravity as 10 m/s^2

2.Each of the spring scale will read 10N because each string exerts a force of 10 N to counterbalance the force of 1 kg mass attached to it. This means the tension on the both side of the string is 10 N. So the scale will read 10 N. Also as spring balances are attached in series and kept on table so both spring balances will read same readings.