A truck of mass 2000 kg has a velocity of 8 ms^-1 when it starts from a point A to descend a s

step 1 In this question we have given a truck whose mass is 2 ,000 KG and its velocity is 8 m per secon

A truck of mass 2000 kg has a velocity of 8 ms^-1 when it...

A truck of mass $2000 \mathrm{~kg}$ has a velocity of $8 \mathrm{~ms}^{-1}$ when it starts from a point $A$ to descend a slope $A B$, $200 \mathrm{~m}$ long shown in the Fig. $4.26$. The truck arrives at $B$ which is $18 \mathrm{~m}$ below the level of $A$ with a velocity of $20 \mathrm{~ms}^{-1} .$ The resistance in Newton offered is $40 x$, find the value of $x ?$ (given $g=10 \mathrm{~ms}^{-1}$ )

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Work-Energy Principle

The work-energy principle connects the net work done on an object to its change in kinetic energy. In problems where forces such as friction or resistance are present, this principle helps in setting up equations that account for energy added or lost as an object moves, making it a fundamental concept in dynamics.

Gravitational Potential Energy

Gravitational potential energy represents the energy an object possesses due to its position in a gravitational field. When an object's height changes, the potential energy changes accordingly, affecting the overall energy balance and transitioning into kinetic energy or being dissipated by resistive forces.

Work Done by Non-Conservative Forces

Non-conservative forces, such as friction or variable resistive forces, perform work that cannot be recovered as mechanical energy. This work is calculated as the force applied over a distance and accounts for energy losses in the system, which is essential in accurately applying the energy conservation equations in real-world problems.

Transcript

Please give Ace some feedback