The force of attraction, F, between two masses due to gravity can be found using the equation:

\(F = \dfrac{G m_1 m_2}{r^2}, \text{where} \) \( G = 6.67 × 10^{−11} \text{ Nm}^2/\text{kg}^2\)

The force of attraction between two planets is F = 8.56 × 10¹⁶ N, one of the planets has a mass of m₁ = 5.98 × 10²⁴ kg, and the distance between the planets is r = 5.46 × 10¹⁰ m.

Find the mass of the second planet.

The wave in a certain liquid has a frequency of 4 Hz. The distance between subsequent wave peaks is 0.10 m. What is the speed of the wave in meters per second?

The speed of light traveling through a diamond is 1.241 × 10⁸ m/s, while the speed of light in a vacuum is 2.998 × 10⁸ m/s. What is the index of refraction for diamond?

Recall that \(n = \dfrac{c} {v_s}\)

The speed of light in a vacuum is \(\)2.998 × 10⁸ m/s, and a light-year is defined as the distance light travels in one year. Proxima Centauri, the closest star outside our solar system, is approximately 4.25 light years from Earth. How many meters from Earth is this? Use 365.25 days per year in your calculations.

What is the proper name for the object shown in the photo below?