Science

PhysicsQ&A LibraryA rocket lifts off the pad at Cape Canaveral. According to Newton's Law of Gravitation, the force of gravity on the rocket is given byF(x) = −GMm/x^2 where M is the mass of the earth, m is the mass of the rocket, G is a universal constant, and x is the distance (in miles) between the rocket and the center of the earth. Take the radius of the earth to be 4000 miles, so that x > 4000 miles.Find the work, W1, done against gravity when the rocket rises 1500 miles.W1=___GMm (mile-pounds)Next, find the limit of the work, W2 , as the rocket rises infinitely far from the earth.W2=___GMm (mile-pounds)Question

Asked Feb 4, 2020

36 views

A rocket lifts off the pad at Cape Canaveral. According to Newton's Law of Gravitation, the force of gravity on the rocket is given by

F(x) = −GMm/x^2

where M is the mass of the earth, m is the mass of the rocket, G is a universal constant, and x is the distance (in miles) between the rocket and the center of the earth. Take the radius of the earth to be 4000 miles, so that x > 4000 miles.

Find the work, W_{1}, done against gravity when the rocket rises 1500 miles.

Find the work, W

W_{1=___}GMm (mile-pounds)

Next, find the limit of the work, W_{2} , as the rocket rises infinitely far from the earth.

W_{2}=___GMm (mile-pounds)

Step 1

Step 2

Step 3

Find answers to questions asked by student like you

Show more Q&A

Q: A force F, of magnitude 7.00 units acts on an object at the origin in a direction 0 = 37.0° above th...

A: Consider the free-body diagram for the given force mechanism.

Q: Two large, thin metal plates are parallel and close to each other. On their inner faces, the plates ...

A: a)Electric field due to surface charge distribution on a thin metallic plate is,

Q: how much work is done in raising a 42.3 kg crate a distance of 1.5 m above a storeroom floor? (b) wh...

A: (a).The amount work required to raise a 42.3 kg crate a distance of 1.5 m above a storeroom floor is

Q: |A line of length l is uniformly charged with a linear charge density of A. a) Show that the magnitu...

A: (a)The electric field at a point P above the midpoint of the line is,The linear charge density is,

Q: A father demonstrates projectile motion to his children by placing a pea on his fork's handle and ra...

A: Click to see the answer

Q: Three point charges are arranged as shown in the figure below. Find the magnitude and direction of t...

A: Click to see the answer

Q: A small block with a mass of 0.170 kg is attached to a cord passing through a hole in a frictionless...

A: According to the work energy theorem, find the external work done on the system with the change in k...

Q: Two small metallic spheres, each of mass m = 0.186 g, are suspended as pendulums by light strings of...

A: The net force exerted on the pendulum along x axis is,Substitute the length of the string as,

Q: A string of length L with fixed ends is made to go into standing wave patterns. What is the longest ...

A: Consider the wave pattern for the given standing wave of the string in fundamental vibrational mode ...