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Physics
01.07.2021 23:49
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The three forces (in units of n) given below are acting on a 20 kg mass. calculate

The three forces (in units of n) given below are acting on a 20 kg mass. calculate the magnitude of the acceleration of the mass. stack f subscript 1 with rightwards harpoon with barb upwards on top equals 3 i with hat on top space space space space space stack f subscript 2 with rightwards harpoon with barb upwards on top equals 5 j with hat on top space space space space stack f subscript 3 with rightwards harpoon with barb upwards on top equals open parentheses i with hat on top minus 3 j with hat on top close parentheses space space
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estheradame547
estheradame547
5,0(21 marks)

Acceleration, a=0.223\ m/s^2

Explanation:

Mass of the object, m = 20 kg

The forces acting on the objects are as follows :

F_1=3i

F_2=5j

F_3=i-3j

The net force acting on the object is, F=4i+2j

Let a is the acceleration of the mass. It can be calculated using the second law of motion as :

F=ma

a=\dfrac{F}{m}

a=\dfrac{4i+2j}{20}

a=\dfrac{1}{5}i+\dfrac{1}{10}j

|a|=\sqrt{(\dfrac{1}{5})^2+(\dfrac{1}{10})^2}

a=0.223\ m/s^2

So, the magnitude of the acceleration of the mass is 0.223\ m/s^2. Hence, this is the required solution.

audreymvarney
audreymvarney
4,9(85 marks)

The correct answer is B. Algae and fungi are biotic; temperature and rainfall are abiotic.. FURTHER EXPLANATION. An ecosystem consists of all living and non-living factors in an environment that interact and that are interdependent with each other.. All living things or factors in an ecosystem are called biotic factors.Examples include organisms like plants, animals, humans, etc.

Explanation:

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