Calculate the speed in m/s at which the moon revolves around the earth. note: the orbit is nearly circular.

1020 m/s

Explanation:

The moon is in the earth's orbit, meaning it is in free fall.  Its centripetal acceleration is equal to the acceleration due to gravity.

v² / r = GM / r²

v² = GM / r

v = √(GM / r)

G is the universal gravitational constant, M is the mass of the earth, and r is the distance from the earth's center to the moon's center.

G = 6.67×10⁻¹¹ m³/kg/s²

M = 5.97×10²⁴ kg

r = 3.84×10⁸ m

v = √( (6.67×10⁻¹¹) (5.97×10²⁴) / (3.84×10⁸) )

v = 1020 m/s

where is the photo and the answer choices?

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.