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In the figure shown a long cart moves on a smooth horizontal surface due to an external constant force of magnitude F. Initial mass of the cart is M0 and velocity is zero. At t = 0 sand starts falling kg/s and sticksmfrom a stationary hopper on to the cart with negligible velocity at constant rate to the cart.
In the above question the rate of increase of the kinetic energy of the cart (with sand) is v
The correct answer is:
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Physics-
In the figure shown a long cart moves on a smooth horizontal surface due to an external constant force of magnitude F. Initial mass of the cart is M0 and velocity is zero. At t = 0 sand starts falling kg/s and sticksmfrom a stationary hopper on to the cart with negligible velocity at constant rate to the cart.
In the same model of the above question if the cart is to be moved with constant velocity v, then the power supplied by external agent applying that force is v v
In the figure shown a long cart moves on a smooth horizontal surface due to an external constant force of magnitude F. Initial mass of the cart is M0 and velocity is zero. At t = 0 sand starts falling kg/s and sticksmfrom a stationary hopper on to the cart with negligible velocity at constant rate to the cart.
In the same model of the above question if the cart is to be moved with constant velocity v, then the power supplied by external agent applying that force is v v
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Physics-
In the figure shown a long cart moves on a smooth horizontal surface due to an external constant force of magnitude F. Initial mass of the cart is M0 and velocity is zero. At t = 0 sand starts falling kg/s and sticksmfrom a stationary hopper on to the cart with negligible velocity at constant rate to the cart.
The velocity of the cart at time 
In the figure shown a long cart moves on a smooth horizontal surface due to an external constant force of magnitude F. Initial mass of the cart is M0 and velocity is zero. At t = 0 sand starts falling kg/s and sticksmfrom a stationary hopper on to the cart with negligible velocity at constant rate to the cart.
The velocity of the cart at time
Physics-General
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Two bodies have undergone an elastic one–dimensional collision along x–axis. Figure is a graph of position versus time for these bodies and for their center of mass.
The mass of the body that was moving faster before the collision is ________ that of other body.
Two bodies have undergone an elastic one–dimensional collision along x–axis. Figure is a graph of position versus time for these bodies and for their center of mass.
The mass of the body that was moving faster before the collision is ________ that of other body.
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Two bodies have undergone an elastic one–dimensional collision along x–axis. Figure is a graph of position versus time for these bodies and for their center of mass.
Which line segment corresponds to the motion of the center of mass before and after the collision?
Two bodies have undergone an elastic one–dimensional collision along x–axis. Figure is a graph of position versus time for these bodies and for their center of mass.
Which line segment corresponds to the motion of the center of mass before and after the collision?
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Physics-
A bob of mass 10 M is suspended through an inextensible string of length l. When the bob is at rest at the equilibrium position, two particles of mass m each moving with velocity u making an angle 60° with the string strike and get simultaneously attached to the bob. What is the value of impulsive tension (l) in the string during the impact ?
A bob of mass 10 M is suspended through an inextensible string of length l. When the bob is at rest at the equilibrium position, two particles of mass m each moving with velocity u making an angle 60° with the string strike and get simultaneously attached to the bob. What is the value of impulsive tension (l) in the string during the impact ?
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A small ball is dropped from a height h onto a rigid frictionless plate at B and rebounds. Find the maximum height reached after rebound if the coefficient of restitution between the ball and the plate is e = 0.75:
A small ball is dropped from a height h onto a rigid frictionless plate at B and rebounds. Find the maximum height reached after rebound if the coefficient of restitution between the ball and the plate is e = 0.75:
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Two blocks A & B are connected by a spring of stiffness 512 N/m and placed on a smooth horizontal surface. Initially the spring has its equilibrium length. The indicated velocities are imparted to A & B. The maximum extension of the spring will be
Two blocks A & B are connected by a spring of stiffness 512 N/m and placed on a smooth horizontal surface. Initially the spring has its equilibrium length. The indicated velocities are imparted to A & B. The maximum extension of the spring will be
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An potential energy curve U(x) is shown in the figure. What value must the mechanical energy Emec of the particle not exceed, if the particle is to be trapped within the region shown in graph?
An potential energy curve U(x) is shown in the figure. What value must the mechanical energy Emec of the particle not exceed, if the particle is to be trapped within the region shown in graph?
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A spring that lies along X axis is attached to a wall at end and block at the other end. The block rests on a frictionless surface at X = 0 then an applied horizontal force F of constant magnitude begins to compress the spring, displacing the block by distance X, untill the block comes to maximum displacement Xmax. Which of the curves in figure best represent.
The work done on the spring block system by the applied force
A spring that lies along X axis is attached to a wall at end and block at the other end. The block rests on a frictionless surface at X = 0 then an applied horizontal force F of constant magnitude begins to compress the spring, displacing the block by distance X, untill the block comes to maximum displacement Xmax. Which of the curves in figure best represent.
The work done on the spring block system by the applied force
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Physics-
A spring that lies along X axis is attached to a wall at end and block at the other end. The block rests on a frictionless surface at X = 0 then an applied horizontal force F of constant magnitude begins to compress the spring, displacing the block by distance X, untill the block comes to maximum displacement Xmax. Which of the curves in figure best represent.
The kinetic energy of the block
A spring that lies along X axis is attached to a wall at end and block at the other end. The block rests on a frictionless surface at X = 0 then an applied horizontal force F of constant magnitude begins to compress the spring, displacing the block by distance X, untill the block comes to maximum displacement Xmax. Which of the curves in figure best represent.
The kinetic energy of the block
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A block of mass m is projected on a smooth horizontal circular track with velocity v. What is average normal force exerted by the circular walls on the block during its motion from A to B.
A block of mass m is projected on a smooth horizontal circular track with velocity v. What is average normal force exerted by the circular walls on the block during its motion from A to B.
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A particle of mass m is going along surface of smooth hemisphere of radius R. At the moment shown its speed is v Choose correct option.
A particle of mass m is going along surface of smooth hemisphere of radius R. At the moment shown its speed is v Choose correct option.
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In the figure shown the spring constant is K. The mass of the upper disc is m and that of the lower disc is 3m. The upper block is depressed down from its equilibrium position =5mg/K and released at t=0. Find the velocity of ‘m’ when normaldby a distance reaction on 3m is mg.
In the figure shown the spring constant is K. The mass of the upper disc is m and that of the lower disc is 3m. The upper block is depressed down from its equilibrium position =5mg/K and released at t=0. Find the velocity of ‘m’ when normaldby a distance reaction on 3m is mg.
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Potential energy and position for a conservative force are plotted in graph shown. Then force position graph can be
Potential energy and position for a conservative force are plotted in graph shown. Then force position graph can be
Physics-General
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A body with mass 2 kg moves in one direction in the presence of a force which is described by the potential energy graph. If the body is released from rest at x = 2m, then its speed when it crosses x = 5 m is
A body with mass 2 kg moves in one direction in the presence of a force which is described by the potential energy graph. If the body is released from rest at x = 2m, then its speed when it crosses x = 5 m is
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