Class 11PhysicsWork, Energy, Power and CollisionWork Energy Theorem and Conservation of Mechanical Energy
Medium$A$ force $\overrightarrow{F} = 4 \hat{i} - 15 \hat{j} \text{ N}$ acts on a body, resulting in a displacement of $\overrightarrow{S} = 6 \hat{i} \text{ m}$. If the body had a kinetic energy of $7 \text{ J}$ at the beginning of the displacement, what is the kinetic energy at the end of the displacement (in $\text{ J}$)?
- A$24$
- B$31$
- C$30$
- D$25$
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Under the action of a force,a $2 \, kg$ body moves such that its position $x$ as a function of time $t$ is given by $x = \frac{t^2}{3}$,where $x$ is in metres and $t$ is in seconds. The work done by the force in the first two seconds is .......... $J$.
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View Solution$A$ body falls freely from a height $h$ in a gravitational field. Match the following:
Column-$I$ Column-$II$ $(1)$ Potential Energy $=$ Kinetic Energy $(a)$ At height $\frac{2h}{3}$ $(2)$ Potential Energy $= 2 \times$ Kinetic Energy $(b)$ Constant at every point $(c)$ At height $\frac{h}{2}$
| Column-$I$ | Column-$II$ |
| $(1)$ Potential Energy $=$ Kinetic Energy | $(a)$ At height $\frac{2h}{3}$ |
| $(2)$ Potential Energy $= 2 \times$ Kinetic Energy | $(b)$ Constant at every point |
| $(c)$ At height $\frac{h}{2}$ |
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View Solution$A$ particle is released from a height $H$. At a certain height $h$,its kinetic energy is two times its potential energy. The height $h$ and the speed $v$ of the particle at that instant are:
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View Solution$A$ spring-block system is placed on a rough horizontal floor. The block is pulled towards the right to give the spring an elongation $x$ such that $\frac{\mu mg}{K} < x < \frac{2\mu mg}{K}$,and then released. Which of the following laws/principles of physics can be applied to the spring-block system?
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View SolutionThe velocity-time graph for a body of mass $10\, kg$ is shown in the figure. The work done on the body in the first two seconds of the motion is ................ $J$.
DifficultJEE MAIN 2016
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