(A) Find the magnitude of the gravitational force (in N) between a planet with mass 7.75 ✕ 1024 kg and its moon, with mass 2.35 ✕ 1022 kg, if the average distance between their centers is 2.20 ✕ 108 m.     (B) What is the moon's acceleration (in m/s2) toward the planet? (Enter the magnitude.) m/s2     (C) What is the planet's acceleration (in m/s2) toward the moon? (Enter the magnitude.) m/s2

The acceleration of an object due to air resistance is a = -bư/m, where v is the %3D speed of the object and m is its mass. What are the SI units of b? O kg/s O kg/s? O kg/m kg/m? O kg - m/s? none of these

The magnitude F (in newtons) of a force F and the magnitude G (in newtons) of a force G satisfy the vector equation 2Fi-3Fj+2Gi+2Gj-3i=0 where i and j are the Cartesian unit vectors. What is the value of F? 9 10 3 O 5/60/5 10 06

A small metal ball is kicked from the edge of a cliff. Its x- and y-coordinates as functions of time are given by x = 16.7t and y = 3.64t - 4.90t2, where x and y are in meters and t is in seconds. (Do not include units in your answer.) (a) Write a vector expression for the ball's position as a function of time (in m), using the unit vectors î and ĵ. (Give the answer in terms of t.) r= By taking derivatives, do the following. (b) Obtain the expression for the velocity vector v as a function of time (in m/s). (Give the answers in terms of t.) V= a = m (c) Obtain the expression for the acceleration vector a as a function of time (in m/s²). m/s² r = m/s (d) Next, use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the metal ball at t = 3.24 s. (Assume the position is in m, the velocity is in m/s and the acceleration is in m/s².) a = m m/s m/s²