A 2 kg cookie tin accelerated at 3 m/s^2 towards N-E at an angle of 50° off E direction over a friction less horizontal surface. The acceleration is caused by three horizontal forces of F1= 10 N (S-W 30° off W), F2 = 20 N towards N. What is the third force F3 in unit vector notation and in magnitude angle notation?

Explanation:

The net force is calculated as follows.

Also,     = ma

                         =

                         = 6 N

       =

       =

               =

=

                     = 16.3 N

Thus, we can conclude that the third force in unit vector notation is 16.3 N and magnitude angle notation is .

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