An elevator has a mass of 5 ton. When the tension in the...

An elevator has a mass of 5 ton. When the tension in the supporting cable is $6 \times 10^{4} \mathrm{~N}$ the acceleration of the elevator is $\left(g=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$ (a) $2 \mathrm{~m} \mathrm{~s}^{-2}$ (b) $4 \mathrm{~m} \mathrm{~s}^{-2}$ (c) $6 \mathrm{~m} \mathrm{~s}^{-2}$ (d) $8 \mathrm{~m} \mathrm{~s}^{-2}$

An elevator has a mass of 5 ton. When the tension in the supporting cable is $6 \times 10^{4} \mathrm{~N}$ the acceleration of the elevator is $\left(g=10 \mathrm{~m} \mathrm{~s}^{-2}\right)$
(a) $2 \mathrm{~m} \mathrm{~s}^{-2}$
(b) $4 \mathrm{~m} \mathrm{~s}^{-2}$
(c) $6 \mathrm{~m} \mathrm{~s}^{-2}$
(d) $8 \mathrm{~m} \mathrm{~s}^{-2}$

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Key Concepts

Net Force Calculation

The net force on an object is obtained by summing all individual forces acting on it, taking their directions into account. In problems involving vertical motion, like with an elevator, this involves subtracting the gravitational force from the upward tension to find the net force, which is then used to calculate acceleration.

Gravitational Force

Gravitational force, also known as weight, is the force exerted on an object due to gravity. It is calculated by multiplying the mass of the object by the gravitational acceleration (g), which is essential for determining how the force of gravity opposes other forces, such as tension in a supporting cable.

Newton's Second Law of Motion

Newton's Second Law states that the net force acting on an object is equal to the product of its mass and its acceleration (F_net = m × a). This principle is used to relate the forces acting on an object to its resulting acceleration, which is fundamental in analyzing systems in motion.

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