Two forces and are applied to an object whose mass is 8.93 kg. The larger force is . When both forces point due east, the object's acceleration has a magnitude of 0.919 m/s2. However, when points due east and points due west, the acceleration is 0.693 m/s2, due east. Find (a) the magnitude of and (b) the magnitude of .

(a) F1 = 7.19N

(b) F2 = 1.01N

Explanation:

You have the following two forces exerted to an object:

F1: larger force

F2: weaker force

When the forces are in the same direction, to the east, the acceleration of the object is 0.919 m/s^2.

You use the Newton second law to write the following equation:

          (1)

m: mass of the object = 8.93 kg

When the two forces are in opposite direction, one to the east and the other one to the west, you have the following equation (2):

              (2)

a': acceleration = 0.693 m/s^2

Then, with both equations (1) and (2) you have a 2x2 systems of equation.

You can find the values of F1 and F2 by solving the 2x2 system.

First, you sum equation (1) and (2):

(3)

You solve the equation (3) for F1:

Next, you can replace the value of F1 into the equation (1) and you can obtain the value of F2:

Finally, you have:

(a) The values of the larger force is 7.19N

(b) The values of the weaker force is 1.01N

jupiter is the largest planet in our solar system, having a mass and radius that are respectively, 318 and 11.2 times that of earth. suppose that an object falls from rest near the surface of each planet and that the acceleration due to gravity remains constant during the fall. each object falls the same distance before striking the ground. determine the ratio of the time of fall on jupiter to that on earth.

heats surface water up