Question

In: Physics

Tidal Friction For the calculations below, note that the Moon's mass is about 1/80th of the...

Tidal Friction

For the calculations below, note that the Moon's mass is about 1/80th of the Earth's, so the total mass of the Earth-Moon system is essentially the Earth's mass.

(a) Once the Earth is in synchronous rotation with the Moon's orbit, what will be the semimajor axis (in km) of the Moon's orbit? Will it be inside or outside the Earth's Hill sphere?

(b) How large (in angular diameter) will the Moon appear in the Earth's sky once it's in synchronous orbit?

Solutions

Expert Solution


semi major axis (in km) is 5.34 km.

please up vote..thank you.


Related Solutions

The sun's mass is about 2.7 x 10^7 times greater than the moon's mass. The sun...
The sun's mass is about 2.7 x 10^7 times greater than the moon's mass. The sun is about 400 times farther from Earth than the moon. How does the gravitational force exerted on Earth by the sun compare with the gravitational force exerted on Earth by the moon? Use complete sentences.
A block with the mass M slides with no friction on a horizontal surface (no friction)...
A block with the mass M slides with no friction on a horizontal surface (no friction) with speed x when it collides and sticks to the second block with also mass M that is attached to a third block with mass M via an ideal spring with spring constant k. Before collision, spring has its natural length and the blocks attached to it are at rest. Find an expression for the maximum kinetic energy of the third block post collision...
A particle of mass m = 1 oscillates without friction attached to a spring with k...
A particle of mass m = 1 oscillates without friction attached to a spring with k = 4. The motion of the particle is driven by the external force F(t) = 3 t cos(t). Find the equation of motion and solve it. Discuss the physical meaning of the solution.
A mass of 8 kg rests on a floor with a coefficient of static friction of...
A mass of 8 kg rests on a floor with a coefficient of static friction of 0.88 and coefficient kinetic friction of 0.33. One force is applied vertically downward of 28 Newtons and another force is applied at an angle of 26 degrees below the horizontal. Calculate what the magnitude this force needs to be in order to begin to move the mass. If that force is removed and another force is applied at an angle of 26 degrees above...
A mass of 9 kg rests on a floor with a coefficient of static friction of...
A mass of 9 kg rests on a floor with a coefficient of static friction of 0.92 and coefficient kinetic friction of 0.37. One force is applied vertically downward of 22 Newtons and another force is applied at an angle of 26 degrees below the horizontal. Calculate what the magnitude this force needs to be in order to begin to move the mass. If that force is removed and another force is applied at an angle of 26 degrees above...
A mass of 6 kg is placed on an incline with a coefficient of static friction...
A mass of 6 kg is placed on an incline with a coefficient of static friction of 1.80 and coefficient of kinetic friction of 1.28. No additional forces are acting on it and it is raised slowly from a small angle and it begins to slide at some angle. If 10 degrees is added to this angle, and the mass started from rest from a vertical height of 28 meters, how much longer would it take to travel down the...
Collisions in 1-D One cart with some mass Mc travels without friction on a 1-D tack...
Collisions in 1-D One cart with some mass Mc travels without friction on a 1-D tack at a speed of 1.75 m/s. Another cart sits at rest some distance along the track. The two cars will collide in a perfectly elastic collision. Calculate the final speed of each cart in the following scenarios: A) The stationary cart has a mass equal to that of the moving cart, Mc B) The stationary cart has a mass equal to half that of...
A mass of 1.1kg is attached to a spring and constrained to move without friction along...
A mass of 1.1kg is attached to a spring and constrained to move without friction along the x-axis. The mass is attached to a spring of spring constant 80?? N m ; one end of the spring is attached to a fixed point along the x-axis while the other is attached to the mass. The equilibrium position of the mass is the origin. The mass has a position as a function of time which can be expressed: ?(?)=?cos(??+?) x (...
Problem A big box of mass m1 sits on the flat surface. There is no friction...
Problem A big box of mass m1 sits on the flat surface. There is no friction between this box and the surface. A small box with mass m2 sits on top of the big one. There is friction between two boxes and the friction coefficient is µ. A force F is applied to the big box in the horizontal direction to the right. What is the maximum value of F that can be applied so that the upper box does...
The coefficient of friction between the block of mass m1 = 3.00 kg and the surface...
The coefficient of friction between the block of mass m1 = 3.00 kg and the surface in the figure below is μk = 0.455. The system starts from rest. What is the speed of the ball of mass m2 = 5.00 kg when it has fallen a distance h = 1.10 m?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT