The six statements below represent Newton's three laws of motion and Kepler's three laws of planetary motion. Match each statement to the scientist (Kepler or Newton) associated with it. a. : Force= mass x accerlationb. : A planet moves faster in the part of its orbit nearer the Sun and slower when farther from the Sun, sweeping out equal areas in equal times. c. : For any force, there is an equal and opposite reaction force. d. : An object moves at constant velocity if there is no net force acting upon it. e. : The orbit of each planet about the Sun is an ellipse with the Sun at one focus. f. : More distant planets orbit the Sun at slower average speeds, obeying the precise mathematical relationship p^2= a^3

Newton's laws emphasize the general laws of motion whereas Keplers' laws emphasize the planetary motion of the solar system that measures the motions of the planets that are continuously going on in the planet.

The match of each statement to the scientist with correspondence to the laws are:

a. Newton: Force= mass x accelerationNewton's Second Law of Motion

b. Kepler: A planet moves faster in the part of its orbit nearer the Sun and slower when farther from the Sun, sweeping out equal areas in equal timesKepler's 3rd Law.

c. Newton: For any force, there is an equal and opposite reaction forceNewton's Third Law of Motion

d. Newton: An object moves at constant velocity if there is no net force acting upon itNewton's Laws of Motion Newton's First Law of Motion

e. Kepler: The orbit of each planet about the Sun is an ellipse with the Sun at one focusKepler's laws of planetary motion

f. Kepler: More distant planets orbit the Sun at slower average speeds, obeying the precise mathematical relationship p^2= a^3Kepler's 3rd Law

To know more about Newton's three laws of motion and Kepler's three laws of planetary motion, refer to the link below:

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a. Newton: Force= mass x acceleration

b. Kepler: A planet moves faster in the part of its orbit nearer the Sun and slower when farther from the Sun, sweeping out equal areas in equal times.

c. Newton: For any force, there is an equal and opposite reaction force.

d. Newton: An object moves at constant velocity if there is no net force acting upon it.

e. Kepler: The orbit of each planet about the Sun is an ellipse with the Sun at one focus.

f. Kepler: More distant planets orbit the Sun at slower average speeds, obeying the precise mathematical relationship p^2= a^3

Explanation:

The laws which correspond each statement are:

a. Newton's Second Law of Motion

b. Kepler's 3rd Law.

c. Newton's Third Law of Motion

d. Newton's Laws of Motion Newton's First Law of Motion

e. Kepler's laws of planetary motion

f. Kepler's 3rd Law

the answer is the last option or letter d)