In the figure, given ∆x=30cm, k=200N/cm, g=10m/s². Find the mass of the object

600 Kg

Explanation:

From the question given above, the following data were obtained:

Extention (∆x) = 30 cm

Spring constant (K) = 200 N/cm Acceleration due to gravity (g) = 10 m/s²

Mass (m) of object =?

Next, we shall determine force exerted. This can be obtained as follow:

Extention (∆x) = 30 cm

Spring constant (K) = 200 N/cm

Force (F) =?

F = K∆x

F = 200 × 30

F = 6000 N

Finally, we shall determine the mass of the object. This can be obtained as follow:

Acceleration due to gravity (g) = 10 m/s²

Force (F) = 6000 N

Mass (m) of object =?

F = mg

6000 = m × 10

Divide both side by 10

m = 6000 / 10

m = 600 Kg

Thus, the mass of the object is 600 Kg

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