Hi, i'm having problem w/ this question...i've tried everything i know and i still don't get the right answer...here's the info they give:
Consider a neutron star of mass M = 1.99e+30kg and a radius of R = 10 km.
They ask 3 question...two of which i have answered (1st:gravitional acceleration near the surface of the star, i found to be 1.33e12 m/s/s and 2nd: found the velocity of an object if it was 1.1 m away from the surface of the star to be 1.71e6 m/s.) but the question that i haven't been able to answer is this: Assuming uniform density, how much would 1.1 cubic centimeters of neutron star material weigh on the surface of the earth?
HELP!!!....i got this far..desity of the star w/ radius 10 km..1.99e+30kg/4.19e12 (meters cubed) = x (kg)/1e-6 (meters cubed) and then the answer from that i multiplied by 9.81...but that's not the right answer...what am i doing wrong??
sorry i finally found the answer...i just made some errors in the unit conversion
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)πR^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!