A spring is stretched 6cm when a mass of 200g is hung on it. Calculate the spring constant.

Sure, here's how you can calculate the spring constant:

1. First, you need to convert the mass into kilograms because the standard unit of mass in physics is kilograms. So, 200g = 0.2kg.

2. Next, convert the displacement of the spring from centimeters to meters because the standard unit of displacement in physics is meters. So, 6cm = 0.06m.

3. Now, you can use Hooke's Law to calculate the spring constant. Hooke's Law states that the force exerted by a spring is equal to the displacement of the spring times the spring constant (F = kx).

4. In this case, the force exerted on the spring is equal to the weight of the mass, which can be calculated using the equation F = mg, where m is the mass and g is the acceleration due to gravity. On Earth, g is approximately 9.8 m/s^2. So, F = 0.2kg * 9.8m/s^2 = 1.96N.

5. Now, you can substitute the force and the displacement into Hooke's Law and solve for the spring constant (k). So, 1.96N = k * 0.06m.

6. Solving for k gives k = 1.96N / 0.06m = 32.67 N/m.

So, the spring constant is approximately 32.67 N/m.