Two forces and are applied to an object whose mass is 9.31 kg. the larger force is . when both forces point due east, the object's acceleration has a magnitude of 0.626 m/s2. however, when points due east and points due west, the acceleration is 0.340 m/s2, due east. find (a) the magnitude of and (b) the magnitude of . (a) number entry field with correct answer 4.5 units entry field with correct answer

the magnitudes of the two forces are 45.N and 1.5 N

Explanation:

This in a problem of composition of forces, as the forces are on a single axis, East-West, we can work as a problem of a single dimension, write Newton's second law for each case n

   • Two forces to the east

        F1 + F2 = m a1

  • One force to the east and the other to the west

        F1 - F2 = m a2

We see that we have a system of two equations with two unknowns, we proceed to solve it

We add sides equations

        F1 + F2 = m a1

        F1 - F2 = m a2

       2F1 = m (a1 + a2)

       F1 = m (a1 + a2) / 2

       F1 = 9.31 (0.626 +0.340) / 2

       F1 = 4.5 N

We substitute in one of the two equations and find the other force

       F1 + F2 = m a1

       F2 = m a1 - F1

       F2 = 9.31 0.646 - 4.5

       F2 = 1.5 N

     These are the magnitudes of the two forces 45.N and 1.5 N

explanation: in any substance/object, the particles inside it (atoms/molecules) constantly move in random directions and with random speeds (this motion is called brownian motion). as a result, the particles have some kinetic energy (which is proportional to the temperature of the substance).

explanation:

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