5. There is a location between the Earth and the Moon where the gravitational pull acting on a mass at this point is zero. It is known as the "Langrangian Point". Locate where this point would be and label any forces acting on the mass. You need not calculate the precise location but you must justify your choice of location with the appropriate Physics equation(s).

A 270-kg object and a 570-kg object are separated by 4.90 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 32.0-kg object placed midway between them. N (b) At what position (other than an infinitely remote one) can the 32.0-kg object be placed so as to experience a net force of zero from the other two objects? m from the 570 kg mass toward the 270 kg mass

A 175-kg object and a 475-kg object are separated by 3.30 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 61.0-kg object placed midway between them. N (b) At what position (other than an infinitely remote one) can the 61.0-kg object be placed so as to experience a net force of zero from the other two objects? m from the 475 kg mass toward the 175 kg mass

A space probe is launched from Earth headed for deep space. At a distance of 10,000 km from Earth's center, the gravitational force  on it is 900 N. What is the magnitude of the force when the probe is 30,000 km from Earth's center?

Find gravitational force as formula

A coordinate system (in meters) is constructed on the surface of a pool table, and three objects are placed on the table as follows: a m1 = 1.7-kg object at the origin of the coordinate system, a m2 = 3.2-kg object at  (0, 2.0),  and a m3 = 5.0-kg object at  (4.0, 0).  Find the resultant gravitational force exerted by the other two objects on the object at the origin. magnitude       direction      ° above the +x-axis

A 270-kg object and a 570-kg object are separated by 4.90 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 32.0-kg object placed midway between them. 1.323 × Draw a picture of the three objects, including the forces exerted on the third. N (b) At what position (other than an infinitely remote one) can the 32.0-kg object be placed so as to experience a net force of zero from the other two objects? 2.61 You appear to be assuming the answer will be a simple ratio of the masses. You must look very carefully at the equations before assuming a simple ratio holds. m from the 570 kg mass toward the 270 kg mass

question 9

Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of birth. The only known force a planet exerts on Earth is gravitational. (a) Calculate the magnitude of the gravitational force exerted on a 3.70-kg baby by a 100-kg father 0.221 m away at birth (assisting so he is close). N(b) Calculate the magnitude of the force on the baby due to Jupiter if it is at its closest to the Earth, some 6.29  1011 m away, showing it to be comparable to that of the father. The mass of Jupiter is about 1.90  1027 kg. Other objects in the room and the hospital building also exert similar gravitational forces. (Of course, there could be an unknown force acting, but scientists first need to be convinced that there is even an effect, much less that an unknown force causes it.) N