A box with a mass of 2 kg only has four forces acting on it: One force of 16 N due East. One force of 24 N due South. One force

Question

2 years ago

6

of 16 N due West. One force of 18 N due North. What is the magnitude of the box's acceleration, in m/s2

2 answers:

katrin [286] · Answer 1 · 2023-05-01T06:47:10+03:00

Answer:

The acceleration of the object is 3 m/s2.

Explanation:

The force on the object is acting along the four directions which are perpendicular to each other.
Since the north and south directions are opposite to each other, the magnitude of the net force along north-south direction is (24-18)=6 N.
Since the east and west directions are opposite to each other, the magnitude of the net force along east-west direction is (16-16)=0 N.
Therefore the magnitude of the net force on the object is 6 N
By Newton's second law, the force F on the object is given by the formula F=ma.
Here m= 2kg, therefore 6 =(2)a which gives a = 3 m/s2.

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julsineya [31] · Answer 2 · 2023-05-01T05:20:19+03:00

Answer:

The magnitude of acceleration is 3 m/s^2.

Explanation:

The net force along North-South direction is 18-24=-6 N.

The net force along East-West direction is 16-16=0 N

The net magnitude of force is square root of (-6)^2+0^2 which is 6 N.

By Newton's Second law,

Force F=ma

Therefore acceleration a=F/m

a=6/2

a=3 m/s^2

Learn more about Newton's second law.

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