Velocity-time graph for a body of mass $10\, kg$ is shown in figure. Work-done on the body in first two seconds of the motion is ................ $\mathrm{J}$
Velocity-time graph for a body of mass $10\, kg$ is shown in figure. Work-done on the body in first two seconds of the motion is ................ $\mathrm{J}$
- [JEE MAIN 2016]
- A
$-9300$
- B
$12000$
- C
$-4500$
- D
$-12000$
Similar Questions
A particle is placed at the point $\mathrm{A}$ of a frictionless track $A B C$ as shown in figure. It is gently pushed toward right. The speed of the particle when it reaches the point $B$ is: $\left(\right.$ Take $g=10 \mathrm{~m} / \mathrm{s}^2$ ).
A particle is placed at the point $\mathrm{A}$ of a frictionless track $A B C$ as shown in figure. It is gently pushed toward right. The speed of the particle when it reaches the point $B$ is: $\left(\right.$ Take $g=10 \mathrm{~m} / \mathrm{s}^2$ ).
- [JEE MAIN 2024]
A $1000\,\, kg$ elevator rises from rest in the basement to the fourth floor, a distance of $20\,\, m$. As it passes the fourth floor its speed is $4\,m/sec$. There is a constant frictional force of $500\, N$. The work done by the lifting mechanism is
A $1000\,\, kg$ elevator rises from rest in the basement to the fourth floor, a distance of $20\,\, m$. As it passes the fourth floor its speed is $4\,m/sec$. There is a constant frictional force of $500\, N$. The work done by the lifting mechanism is
Column $II$ gives certain systems undergoing a process. Column $I$ suggests changes in some of the parameters related to the system. Match the statements in Column $I$ to the appropriate process$(es)$ from Column $II$.
Column $I$
Column $II$
$(A)$ The energy of the system is increased
$(p)$ $System:$ A capacitor, initially uncharged
$Process:$ It is connected to a battery
$(B)$ Mechanical energy is provided to the system, which is converted into energy of random motion of its parts
$(q)$ $System:$ A gas in an adiabatic container fitted with an adiabatic piston
$Process:$ The gas is compressed by pushing the piston
$(C)$ Internal energy of the system is converted into its mechanical energy
$(r)$ $System:$ A gas in a rigid container
$Process:$ The gas gets cooled due to colder atmosphere surrounding it
$(D)$ Mass of the system is decreased
$(s)$ $System:$ A heavy nucleus, initially at rest
$Process:$ The nucleus fissions into two fragments of nearly equal masses and some neutrons are emitted
$(t)$ $System:$ A resistive wire loop
$Process:$ The loop is placed in a time varying magnetic field perpendicular to its plane
Column $II$ gives certain systems undergoing a process. Column $I$ suggests changes in some of the parameters related to the system. Match the statements in Column $I$ to the appropriate process$(es)$ from Column $II$.
| Column $I$ | Column $II$ |
| $(A)$ The energy of the system is increased |
$(p)$ $System:$ A capacitor, initially uncharged $Process:$ It is connected to a battery |
| $(B)$ Mechanical energy is provided to the system, which is converted into energy of random motion of its parts |
$(q)$ $System:$ A gas in an adiabatic container fitted with an adiabatic piston $Process:$ The gas is compressed by pushing the piston |
| $(C)$ Internal energy of the system is converted into its mechanical energy |
$(r)$ $System:$ A gas in a rigid container $Process:$ The gas gets cooled due to colder atmosphere surrounding it |
| $(D)$ Mass of the system is decreased |
$(s)$ $System:$ A heavy nucleus, initially at rest $Process:$ The nucleus fissions into two fragments of nearly equal masses and some neutrons are emitted |
|
$(t)$ $System:$ A resistive wire loop $Process:$ The loop is placed in a time varying magnetic field perpendicular to its plane |
- [IIT 2009]
A force of $5\, N$, making an angle $\theta $ with the horizontal, acting on an object displaces it by $0.4\,m$ along the horizontal direction. If the object gains kinetic energy of $1\,J$, the horizontal component of the force is......$N$
A force of $5\, N$, making an angle $\theta $ with the horizontal, acting on an object displaces it by $0.4\,m$ along the horizontal direction. If the object gains kinetic energy of $1\,J$, the horizontal component of the force is......$N$
A particle, initially at rest on a frictionless horizontal surface, is acted upon by a horizontal force which is constant in size and direction. A graph is plotted between the work done $(W) $ on the particle, against the speed of the particle, $(v)$. If there are no other horizontal forces acting on the particle the graph would look like
A particle, initially at rest on a frictionless horizontal surface, is acted upon by a horizontal force which is constant in size and direction. A graph is plotted between the work done $(W) $ on the particle, against the speed of the particle, $(v)$. If there are no other horizontal forces acting on the particle the graph would look like