Two students of opposite sex with masses 70.0kg and 52.0kg respectively are sitting 1.50m apart facing each other. When the student with a smaller mass looks up and sees the one with a big mass she feels an attraction. If the attraction is gravitational, determine its magnitude.

A spacecraft in the shape of a long cylinder has a length of 100 m, and its mass with occupants is 1 050 kg. It has strayed too close to a black hole having a mass 103 times that of the Sun. The nose of the spacecraft points toward the black hole, and the distance between the nose and the center of the black hole is 10.0 km. Black hole -100 m 10.0 km (a) Determine the total force on the spacecraft. A black hole can be treated in the same manner as any other point mass and used in the equation for the gravitational force as long as you are outside the Schwarzschild radius. N (b) What is the difference in the gravitational fields acting on the occupants in the nose of the ship and on those in the rear of the ship, farthest from the black hole? (This difference in acceleration grows rapidly as the ship approaches the black hole. It puts the body of the ship under extreme tension and eventually tears it apart.) N/kg

A large star of 1018 kg and a small star are 105 meters apart and attract with 6.7 N. What is the mass of the small star (in kg)?

H2 pls

An object is made of glass and has the shape of a cube 0.12 m on a side, according to an observer at rest relative to it. However, an observer moving at high speed parallel to one of the object's edges and knowing that the object's mass is 3.4 kg determines its density to be 8700 kg/m³, which is much greater than the density of glass. What is the moving observer's speed (in units of c) relative to the cube? Rest frame of cube KL-Lo Rest frame of observer

A large star of 1018 kg and a small star are 105 meters apart and attract with 6.67 N. What is the mass of the small star (in kg)?

An African elephant is walking along when a mini-black hole suddenly appears directly above him. The mass of the black hole is so great that its gravity is able to lift the elephant from the Earth. How close must the mini-black hole be to the elephant's center of mass in order to just overcome the downward pull of Earth's gravity? (Treat the mass of the elephant as if it's concentrated at the elephant's center. Mass of Earth ME = 6.97 x 1024 kg Mass of mini-black hole MBH = 4.17 x 1012 kg Radius of Earth RE = 6.40 x 106 meters Mass of elephant (not needed) mini black hole •

In the laboratory frame, two observers A and B are moving along the sides of an equilateral triangle with equal speeds c/2, as shown in the figure. The speed of B as measured by A will be (a) √/³ c c/2 B (b) 3√3 C Nc/2 √13 (c) (d) +

Three uniform spheres of masses m1 = 3.00 kg, m2 = 4.00 kg, and m3 = 6.50 kg are placed at the corners of a right triangle (see figure below). Calculate the resultant gravitational force on the object of mass m2, assuming the spheres are isolated from the rest of the Universe.

A planet of mass 5 ⨯ 1024 kg is at location <4 ⨯ 1011, −4 ⨯ 1011, 0> m.  A star of mass 4 ⨯ 1030 kg is at location <−6 ⨯ 1011, 4 ⨯ 1011, 0> m. (a) What is the relative position vector pointing from the planet to the star? (b) What is the distance between the planet and the star? (c) What is the unit vector in the direction of r? (d) What is the magnitude of the force exerted on the planet by the star?(e) What is the magnitude of the force exerted on the star by the planet? (f) What is the force (vector) exerted on the planet by the star? (g) What is the force (vector) exerted on the star by the planet? (Note the change in units.)