Question

If M = 6.0 kg, what is the tension in string 1?

1) 39 N
2) 34 N
3) 29 N
4) 44 N
5) 51 N

Answer 1

The tension in string 1 can be found by multiplying the mass by the acceleration due to gravity.

Step-by-step explanation:

To find the tension in string 1, we need to analyze the forces acting on the system. Since the pulley and all surfaces are frictionless, the tension in the string will be the same on both sides. The tension in string 1 can be calculated using the equation:

Tension in string 1 = M * g

where M is the mass and g is the acceleration due to gravity. Plugging in the values, we get:

Tension in string 1 = 6.0 kg * 9.8 m/s² = 58.8 N

So the correct answer is not listed among the options provided and the tension in string 1 is 58.8 N.

Answer 2

The tension in string 1 when the mass M is 6.0 kg can be calculated using the formula T = M × g, leading to a tension of 58.8 N. However, this answer does not match any of the provided options, indicating that additional context might be necessary to provide a precise response.

Step-by-step explanation:

To determine the tension in string 1 when the mass M is 6.0 kg, we must assume the system is in a state of equilibrium or in uniform motion, since no specific acceleration or additional forces are mentioned. The tension in the string will simply be the force due to the weight of the mass, which is the product of the mass (M) and the acceleration due to gravity (g, which is approximately 9.8 m/s² on Earth).

The tension (T) can be calculated using the formula:

T = M × g

By substituting M with 6.0 kg and g with 9.8 m/s², we get:

T = 6.0 kg × 9.8 m/s²

T = 58.8 N

However, since there are no options that match '58.8 N' and due to the nature of the provided question, it seems as if the information might be insufficient or that the question might be part of a larger problem that has not been provided in its entirety. Without the full context or diagram, it is challenging to give an accurate answer.