A particle gets displaced by $\Delta \,\vec r = \,(2\hat i + 3\hat j + 4\hat k)$ $m$ under the action of a force $\vec F = \,(7\hat i + 4\hat j + 3\hat k)$ The change in its kinetic energy is ............... $\mathrm{J}$
A particle gets displaced by $\Delta \,\vec r = \,(2\hat i + 3\hat j + 4\hat k)$ $m$ under the action of a force $\vec F = \,(7\hat i + 4\hat j + 3\hat k)$ The change in its kinetic energy is ............... $\mathrm{J}$
- [AIEEE 2012]
- A
$38$
- B
$70$
- C
$52.5$
- D
$126$
Similar Questions
Two bodies moving towards each other collide and move away in opposite directions. There is some rise in temperature of bodies because a part of the kinetic energy is converted into
Two bodies moving towards each other collide and move away in opposite directions. There is some rise in temperature of bodies because a part of the kinetic energy is converted into
A porter lifts a heavy suitcase of mass $80\, {kg}$ and at the destination lowers it down by a distance of $80\, {cm}$ with a constant velocity. Calculate the workdone by the porter in lowering the suitcase. (take $g=9.8\, {ms}^{-2}$ ) (In ${J}$)
A porter lifts a heavy suitcase of mass $80\, {kg}$ and at the destination lowers it down by a distance of $80\, {cm}$ with a constant velocity. Calculate the workdone by the porter in lowering the suitcase. (take $g=9.8\, {ms}^{-2}$ ) (In ${J}$)
- [JEE MAIN 2021]
A block of mass $2\, kg$ is placed on a rough inclined plane as shown in the figure $(\mu = 0.2)$ so that it just touches the spring. The block is allowed to move downwards. The spring will be compressed to a maximum of .............. $\mathrm{cm}$
A block of mass $2\, kg$ is placed on a rough inclined plane as shown in the figure $(\mu = 0.2)$ so that it just touches the spring. The block is allowed to move downwards. The spring will be compressed to a maximum of .............. $\mathrm{cm}$
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $x$ is proportional to
A particle moves in a straight line with retardation proportional to its displacement. Its loss of kinetic energy for any displacement $x$ is proportional to
- [AIEEE 2004]
Aball of mass $m$ is released from Ainside $a$ smooth wedge of mass $m$ as shown in the figure. What is the speed of the wedge when the ball reaches point $B$ ?
Aball of mass $m$ is released from Ainside $a$ smooth wedge of mass $m$ as shown in the figure. What is the speed of the wedge when the ball reaches point $B$ ?