Mass of a Globular Cluster. Stars in the outskirts of a globular cluster are typically about 50 light-years from the cluster’s center, which they orbit at speeds of about 10 km/s. Use these data to calculate the mass of a typical globular cluster.

7.1x10^35 kilograms or 350,000 times the mass of the Sun.

Explanation:

To find the mass of the globular cluster, we will use the orbital velocity law:

M(r)=rv^2/G

To use this law, we need to convert the radius and the speed of the star into meters and meters per second. The speed is about 10,000 kilometers per second. Recalling that 1 light-year is 159.4610 meters the 50-light- year radius is equivalent to 4.7x10^17 meters. Plugging in the numbers, we find that the mass of the globular cluster is 7.1x10^35 kilograms or 350,000 times the mass of the Sun.

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