Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is GmM F = where G is the gravitational constant and r is the distance between the bodies. (a) Find dF/dr. dF dr = X What is the meaning of dF/dr? O dF/dr represents the rate of change of the distance between the bodies with respect to the force. O dF/dr represents the rate of change of the force with respect to the distance between the bodies. O dF/dr represents the rate of change of the mass with respect to the force. O dF/dr represents the rate of change of the mass with respect to the distance between the bodies. O dF/dr represents the amount of force per distance. What does the minus sign indicate? O The minus sign indicates that the bodies are being forced in the negative direction. O The minus sign indicates that as the distance between the bodies decreases, the magnitude of the force remains constant. O The minus sign indicates that the force between the bodies is decreasing. O The minus sign indicates that as the distance between the bodies increases, the magnitude of the force increases. O The minus sign indicates that as the distance between the bodies increases, the magnitude of the force decreases. (b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 4 N/km when r = 20,000 km. How fast does this force change when r = 10,000 km? X N/km
Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is GmM F = where G is the gravitational constant and r is the distance between the bodies. (a) Find dF/dr. dF dr = X What is the meaning of dF/dr? O dF/dr represents the rate of change of the distance between the bodies with respect to the force. O dF/dr represents the rate of change of the force with respect to the distance between the bodies. O dF/dr represents the rate of change of the mass with respect to the force. O dF/dr represents the rate of change of the mass with respect to the distance between the bodies. O dF/dr represents the amount of force per distance. What does the minus sign indicate? O The minus sign indicates that the bodies are being forced in the negative direction. O The minus sign indicates that as the distance between the bodies decreases, the magnitude of the force remains constant. O The minus sign indicates that the force between the bodies is decreasing. O The minus sign indicates that as the distance between the bodies increases, the magnitude of the force increases. O The minus sign indicates that as the distance between the bodies increases, the magnitude of the force decreases. (b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 4 N/km when r = 20,000 km. How fast does this force change when r = 10,000 km? X N/km
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
Related questions
Question
Transcribed Image Text:Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is
GmM
F =
where G is the gravitational constant and r is the distance between the bodies.
(a) Find dF/dr.
dF
dr
=
X
What is the meaning of dF/dr?
O dF/dr represents the rate of change of the distance between the bodies with respect to the force.
O dF/dr represents the rate of change of the force with respect to the distance between the bodies.
O dF/dr represents the rate of change of the mass with respect to the force.
O dF/dr represents the rate of change of the mass with respect to the distance between the bodies.
O dF/dr represents the amount of force per distance.
What does the minus sign indicate?
O The minus sign indicates that the bodies are being forced in the negative direction.
O The minus sign indicates that as the distance between the bodies decreases, the magnitude of the force remains constant.
O The minus sign indicates that the force between the bodies is decreasing.
O The minus sign indicates that as the distance between the bodies increases, the magnitude of the force increases.
O The minus sign indicates that as the distance between the bodies increases, the magnitude of the force decreases.
(b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 4 N/km when r = 20,000 km. How fast does this force change when r = 10,000 km?
X N/km
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning