Final answer:
The angular momentum of Venus in a circular orbit around the sun is calculated using the formula L = mvr. Given the mass of Venus, its orbit radius, and the orbital velocity, the angular momentum is found to be 1.84×1040 kg·m2/s.
Step-by-step explanation:
To calculate the magnitude of the angular momentum of Venus in a circular orbit around the sun, we can use the formula L = mvr, where 'm' is the mass of Venus, 'v' is the orbital velocity, and 'r' is the orbit radius. Given that the mass (m) of Venus is 4.87×1024 kg, the orbit radius (r) is 1.08×1011 m, and the orbital velocity (v) can be calculated as the circumference of the orbit divided by the orbital period.
The orbital period (T) is 224.7 days, which is equivalent to 224.7 * 86400 seconds. First, we find the circumference of the orbit (C) by using C = 2πr, which gives us C = 2π * 1.08×1011 m. We then calculate the velocity (v) by dividing C by the period (T), measured in seconds. Finally, we multiply 'm', 'v', and 'r' to find the angular momentum (L).
Using the velocity (v) provided as 3.5 × 104 m/s from the reference information, we can directly calculate L as:
L = (4.87×1024 kg) * (3.5 × 104 m/s) * (1.08×1011 m) = 1.84×1040 kg·m2/s