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Neglecting air resistance, the escape speed from a certain planetfor an empty space vehicle is 1.12 × 10^4 m/s. What is thecorresponding escape speed for the fully loaded vehicle which hastriple the mass of the empty one?

I now know the escape speed is still 1.12 × 10^4 m/s, but I cannotfind a mathematical proof for this.

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Lelia Lubowitz
Lelia LubowitzLv2
25 Jan 2019

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

1. A projectile launched vertically from the surface of the Moonrise to an altitud of 365 km . What was the projectile's initialspeed?
I got to do it by Conservation of Energy! Please step by step, forme to undertand!!
If anyone know the book with this exercises please tell me...
E_i = E_f
K_i + U_i = (K_f = 0) + U_f
1/2V^2 + (- GM/R) = (-GM/(R +h))
"Anyone that could continue this and give me the correct answer, orif I'm wrong tell me what's wrong."

2. If a projectiles is launched vertically from the Earth with aspeed equal to the escape speed, how high above the Earth's surfaceis it when its speed is half the escape speed? Again: E_i =E_f
K_i + U_i = K_f + U_f
1/2(V_esc^2) - (GM/R) = 1/2(V_esc/2)^2 - (GM/R+h).....

3. A projectile is launched vertically from the surface of the Moonwith an initial speed of 1050 m/s. At what altitude is theprojectile's speed one-haif its initial value?
I know that the answert is h=3 x 10^5 m, but howI get it??
E_i =E_f ....



A conductor bar with mass m and length L slides over horizontal rails that are connected to a voltage source. The voltage source maintains a constant current I in the rails and bar, and constant, uniform, vertical magnetic field B fills the region between the rails (as shown in Fig.)

1) Find the magnitude of the net force on the conducting bar. Ignore friction, air resistance, and electrical resistance.

2) What is the direction of the net force? to the left to the right

3)  If the bar has mass m, find the distance d that the bar must move along the rails from rest to attain speed v.

4)  It has been suggested that rail guns based on this principle could accelerate payloads into earth orbit or beyond. Find the distance the bar must travel along the rails if it is to reach the escape speed for the earth (11.2 km/s). Let B = 0.8 T , I = 2x103 A, m = 25 kg, L = 50 cm. For simplicity assume the net force on the object is equal to the magnetic force, as in parts (a) and (b), even though gravity plays an important role in an actual launch in space.

 

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