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Hello everyone.
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In the present problem it is given that f1 is equal to minus 2 .35 i cap plus 5 .85 j cap newton.
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F2 is 4 .80 i cap minus 1 .3 j cap newton.
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F3 is equal to minus 50 i cap newton.
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Acceleration is given as 3 .50 meter per second square.
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Coming to the a part of the problem, we have to find the direction of acceleration.
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We have the formula f net equal to f1 plus f2 plus f3.
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Substituting the values, we get minus 2 .35 plus 4 .8 minus 50 icap plus 5 .85 minus 1 .85 minus 1 .3 j cap.
01:31
F net is equal to minus 47 .55 icap plus 4 .55 .j cap.
01:51
From newton's second law of motion, we have f net equal to m.
02:17
A.
02:19
This implies that a equal to f net divided by, this implies that the direction of acceleration is along the direction of f net.
03:14
7 .55 divided by 4 .55.
03:26
So, theta is equal to tan inverse of minus 10 .45, which is equal to 95 .47 degree.
03:42
Therefore, it can be concluded that the direction of acceleration theta is equal to 95 .47 degree with the positive x -axis in counter -clockwise direction.
04:27
Coming to the b part of the problem we have mass of the object.
04:48
We have the formula m equal to f net divided by a.
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F net is equal to root of minus 47 .5 square plus.
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4 .55 square.
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Therefore, f net is equal to 47 .77 newton.
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Hence, m is equal to 47 .77 divided by 3 .50.
05:41
Hence, mass is equal to 13 .7 .7 divided by 3 .50...