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According to given examples, identify the case where balanced force acts on it.

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A person resting on an armchair.

A lorry travelling at a variable speed on a straight road.

A cyclist braking.

A car that has a deceleration of $10 m / s^{2}$

answer is A.

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Detailed Solution

When more than two forces act on a body and all of the forces balance each other, the resultant force acting on the object is zero, the object is said to be at equilibrium.

When more than two forces act on a body, the resultant force acting on the object is zero, the object is said to be at equilibrium.

The object must be at rest if the forces acting on it are balanced. As the person is at rest, option 1 is the best choice. There is unbalanced force acting on it in the other options. Option 3 has a negative force acting against the cycle, causing it to stop, and option 4 has the object coming to a stop, but it is not at rest, so the force acting cannot be said to be balanced.

Hence option (1) is correct.

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