A 1000 kg lift is supported by a cable that can support 2000 kg. The shortest distance in whic

step 1 Hello students in this question we have the mass of the lift equals to 2 ,000 KG and the tension

A 1000 kg lift is supported by a cable that can support...

A $1000 \mathrm{~kg}$ lift is supported by a cable that can support $2000 \mathrm{~kg}$. The shortest distance in which the lift can be stopped when it is descending with a speed of $2.5 \mathrm{~ms}^{-1}$ is [Take $\left.g=10 \mathrm{~ms}^{-2}\right]$ (a) $1 \mathrm{~m}$ (b) $2 \mathrm{~m}$ (c) $\frac{5}{32} \mathrm{~m}$ (d) $\frac{5}{16} \mathrm{~m}$

A $1000 \mathrm{~kg}$ lift is supported by a cable that can support $2000 \mathrm{~kg}$. The shortest distance in which the lift can be stopped when it is descending with a speed of $2.5 \mathrm{~ms}^{-1}$ is [Take $\left.g=10 \mathrm{~ms}^{-2}\right]$
(a) $1 \mathrm{~m}$
(b) $2 \mathrm{~m}$
(c) $\frac{5}{32} \mathrm{~m}$
(d) $\frac{5}{16} \mathrm{~m}$

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Key Concepts

Newton's Second Law

This principle states that the net force acting on an object is equal to the product of its mass and its acceleration (F = ma). In problems involving deceleration, this law is used to relate the forces acting on a body (such as tension and weight) to the resulting acceleration, which directly influences how quickly the motion can be stopped.

Kinematic Equations for Motion Under Constant Acceleration

When an object is decelerating at a constant rate, the kinematic equations are used to relate initial velocity, acceleration, and distance traveled until coming to a stop. In particular, the equation v² = u² + 2as is useful for calculating the stopping distance when the initial speed and constant deceleration are known.

Maximum Tension Capacity in Structural Elements

In many mechanics problems, structural limits such as the maximum tension that a cable or rope can withstand play a crucial role. This concept involves ensuring that the applied forces do not exceed the material limits, and it influences the maximum possible deceleration that can be safely applied to an object without causing failure of the supporting structure.

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