Discover the Mass of a Planet with an Escape Velocity of 3.60×104 m/s

AI Thread Summary
To determine the mass of a planet with a given escape velocity and radius, the formula for escape velocity, v = sqrt(2GM/r), can be rearranged to find mass (M). By substituting the known values of escape velocity (3.60×10^4 m/s) and radius (8.30×10^7 m), one can calculate the mass using the gravitational constant (G). The discussion emphasizes the importance of understanding the underlying physics rather than just applying formulas. Providing context and explanations is crucial for effective learning. The conversation highlights the need for clarity in problem-solving approaches in physics.
jay.mee.
Messages
1
Reaction score
0
A certain planet with a radius of 8.30×107 m has an escape velocity of 3.60×104 m/s. What is the mass of this planet?


How do i solve this?
 
Physics news on Phys.org
What is the gravitational potential needed to carry a mass m to infinity?
 
escape velocity = sqrt(2*G*M/r)
 
escape velocity = sqrt(2*G*M/r)

Throwing out a single line of text with no justification doesn't help the OP at all. We're here to help him understand not simply toss a formula his way and tell him to plug in the numbers... What use is that?
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

Variation of escape velocity with equal surface gravity
Replies
7
Views
1K
Escape velocity of solar system
Replies
11
Views
3K
Finding r of a Jovian-synchronous orbit and escape velocity
Replies
7
Views
2K
Velocity required to escape the solar system
Replies
15
Views
1K
Angular Acceleration and Moment Arm
Replies
18
Views
4K
Solar System Forces -- Simulating the planetary orbits for my project
Replies
18
Views
2K
Calculating Angle & Speed to Reach Planet's Moon from Station Orbit
Replies
1
Views
2K
Escape velocity of an iron asteroid
Replies
5
Views
2K
The question: Can nitrogen molecules escape from Europa and into space?
Replies
15
Views
2K
A mistake in the derivation of escape velocity
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top