No problem! It's great to hear that you found the answer. Unit conversion can sometimes be tricky, but once you get the hang of it, it becomes easier. Here's a step-by-step explanation of how to solve the problem correctly:
1. Start with the given information: Mass of the neutron star, M = 1.99e+30 kg and Radius, R = 10 km.
2. Calculate the volume of the neutron star: Since the neutron star is assumed to have uniform density, you can use the formula for the volume of a sphere, i.e., V = (4/3)Ï€R^3. Convert the radius from kilometers to meters by multiplying by 1000, i.e., 10 km = 10,000 m. Plug in the values and calculate the volume.
3. Find the density of the neutron star: Divide the mass of the neutron star by its volume. Convert the volume from cubic meters to cubic centimeters by multiplying by 1e6.
Density = M (kg) / V (cm^3)
4. Calculate the weight of 1.1 cubic centimeters of neutron star material on Earth: Multiply the density by the volume in cubic centimeters and then multiply by the acceleration due to gravity on Earth.
Weight = Density (kg/cm^3) * Volume (cm^3) * Acceleration due to gravity (m/s^2)
Make sure to keep track of your units and perform the necessary conversions. Double-check each step to ensure accuracy.
If you encounter any other questions or need further assistance, feel free to ask!