Embibe Experts Solutions for Chapter: Work and Energy, Exercise 1: Exercise 1

An ideal spring is used to fire a $2 \mathrm{g}$ block horizontally across a frictionless table top. The spring has a spring constant of $80 \mathrm{N} {\mathrm{m}}^{–1}$ and is initially compressed by $3 \mathrm{cm}.$ The speed of the block as it leaves the spring is

A $2 \mathrm{g}$ block attached to an ideal spring with a spring constant of $80 \mathrm{N} {\mathrm{m}}^{–1}$ oscillates on a horizontal frictionless surface. When the spring is $4.0 \mathrm{cm}$ shorter than its equilibrium length, the speed of the block is $\sqrt{17} \mathrm{m} {\mathrm{s}}^{–1}.$ The greatest speed of the block is

A simple pendulum consists of a $2.0 \mathrm{kg}$ mass attached to a string. It is released from rest at $x$ as shown. Its speed at the lowest point $y$ is

A block is released from rest at point $P$ and slides along the frictionless track shown. At point $Q,$ its speed is

A ball is held at a height $H$ above a floor. It is then released and falls to the floor. If air resistance can be ignored, which of the five graphs below correctly gives the mechanical energy $E$ of the Earth-ball system as a function of the altitude $y$ of the ball?

The string in the figure is $50 \mathrm{cm}$ long. When the ball is released from rest, it will swing along the dotted arc. How fast, in $\mathrm{m} {\mathrm{s}}^{–1},$ will it be going at the lowest point in its swing?

When a block of mass $\text{'}m\text{'}$ is released from point $\text{'}A\text{'}$ on the surface of a smooth bowl, the normal reaction force on it at the lowest point would be equal to

In the spring mass system shown in the figure, the spring is compressed by $x_0=\frac{mg}{3k}$ from its natural length and the block is released from rest. The speed of the block, when it passes through the point $P$ at means position, is