Two forces of 25 and 45 N act on an object. Their directions differ by
70°. The resulting acceleration has magnitude of 10.0 m/s2. What is the
mass of the body?

Respuesta :

The mass of the body is 4.336 kg.

Resultant force

The resultant of the given two forces is calculated as follows;

[tex]R^2 = 25^2 + 45^2 - (2\times 25 \times 45) cos(70)\\\\R^2 = 1880.45\\\\R = \sqrt{1880.45} \\\\R = 43.36 \ N[/tex]

Mass of the body

The mass of the body is calculated by applying Newton's second law of motion as follows;

F = ma

m = F/a

m = 43.36/10

m = 4.336 kg

Thus, the mass of the body is 4.336 kg.

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