Wo ropes are attached to a 40kg object. the rope with a 50n force points along a direction 49 degrees from the positive x-axis, and the other robe with a 55n force points along a direction 220 degrees. what is the acceleration of the object?

     Acceleration is 0.24 m/s² at 104.44° to positive x-axis.

Explanation:

Refer the figure given.

Let us take component i along positive X axis and component j along positive Y axis.

50 N force can be resolved in to 50 cos 49 i + 50 sin 49 j

        F1 = 32.80 i + 37.74 j

55 N force can be resolved in to 55 cos 220 i + 55 sin 220 j

        F2 = -42.13 i -35.35 j

Total force

       F = F1 + F2 = 32.80 i + 37.74 j -42.13 i -35.35 j = -9.33 i + 2.39 j

We have

      F = ma = 40a =-9.33 i + 2.39 j

Acceleration

      a =-0.233 i + 0.060 j

     Acceleration is 0.24 m/s² at 104.44° to positive x-axis.

wind moving at higher speeds will transfer more energy to the water, resulting in stronger waves.

force tends to be low and long diustance masses are high