Question

# As an astronaut, you observe a small planet to be spherical. After landing on the planet,...

As an astronaut, you observe a small planet to be spherical. After landing on the planet, you set off, walking always straight ahead, and find yourself returning to your spacecraft from the opposite side after completing a lap of 25.2 km. You hold a hammer and a falcon feather at a height of 1.49 m, release them, and observe that they fall together to the surface in 28.8 s. Determine the mass of the planet.

circumference of the planet = 2r = 25.2 km = 25.2 x 1000 m

r = radius of planet

2 (3.14) r = 25200

r = 4012.74 m

distance travelled by hammer = d = 1.49 m

time taken = t = 28.8 sec

initial velocity = Vi = 0 m/s

using the kinematics equation ::

d = Vi t + (0.5)a t2

1.49 = 0 (28.8) + (0.5) a (28.8)2

a = 0.0036 m/s2

acceleration due to gravity is given as ::

a = GM/r2

M = mass of planet   , r = radius of planet = 4012.74 m , a = acceleration = 0.0036

inserting the values

0.0036 = (6.67 x 10-11) M / (4012.74)2

M = 8.7 x 1014 kg

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• Are your finances, buying habits, medical records, and phone calls really private? A real concern for...
asked 24 minutes ago
• In triangle ABC, angle A measures 33 degrees. If angle C measures 38 degrees and BC...
asked 30 minutes ago
• Psychoactive medications (drugs that impact our thoughts, emotions, and behavior) usually work as either agonists or...
asked 31 minutes ago
• TATA-Pribnow box: Motifs TATAAA or TATAAT of six nucleotides, known as TATA boxes, are an essential...
asked 43 minutes ago
• Bond valuation​) You own a 10​-year, ​\$1000 par value bond paying 8 percent interest annually. The...
asked 1 hour ago
• what does an RNA Induced Silencing Complex do: - dephosphorylate the G protein - Bind to...
asked 1 hour ago
• What is a “computer network”? Why are computer networks important to business? How do you see...
asked 1 hour ago
• Contrast the definition of psychology and the definition of law. Which definition is more clear-cut? Why...
asked 1 hour ago
• Lydia's aunt Rose left her \$5,000. Lydia spent \$1,000 on her wardrobe and deposited the rest...
asked 1 hour ago
• Define generalized anxiety disorder. Compare and contrast GAD with phobic disorders, noting how avoidance behavior is...
asked 2 hours ago
• Discuss some common cybersecurity risk response, change management, version control, and incident response processes that you...
asked 2 hours ago
• A person, is standing 2 meters away from a mirror in order to take a picture...
asked 2 hours ago