Home
Class 11
PHYSICS
A force vecF=vecvxxvecA is exerted on a ...

A force `vecF=vecvxxvecA` is exerted on a particle in addition to the force of gravity, where `vecv` is the veocity of the particle and `vecA` is a constant vector in the horizontal direction. With what minimum speed a particle of mass m be projected so that it continues to move undeflected with a constant velocity?

Text Solution

Verified by Experts

When the box accelerating upward
` U-mg - (mg)/6`
`gt U=(7mg)/g `

`rarr m= (6U)/7g…i`
`Mg-U=(Mg)/6`
`rarr Mg-(Mg)/6=U`
` rarrM=(6u)/5` ……….ii
`Mass added = (6U)/(5g)- (6U)/(7g)`
` =(6U(7-5)g)/(35g)`
`=(6U.2g)/(35g)`
` From equation i m = (6U)/(7h)`
` :. Added mass = 2/5 mg`
Promotional Banner

Similar Questions

Explore conceptually related problems

A force vecF=6t^(2)hati+4thatj is acting on a particle of mass 3 kg then what will be velocity of particle at t=3 second and if at t=0, particle is at rest:-

A particle moves so th at its p o sitio n vector is omega Where is a constant which of the following is true

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

A frame of reference that is accelerated with respect to an inertial frame of reference is called a non-inertial frame of reference. A coordinate system fixed on a circular disc rotating about a fixed axis with a constant angular velocity omega is an example of non=inertial frame of reference. The relationship between the force vecF_(rot) experienced by a particle of mass m moving on the rotating disc and the force vecF_(in) experienced by the particle in an inertial frame of reference is vecF_(rot)=vecF_(i n)+2m(vecv_(rot)xxvec omega)+m(vec omegaxx vec r)xxvec omega . where vecv_(rot) is the velocity of the particle in the rotating frame of reference and vecr is the position vector of the particle with respect to the centre of the disc. Now consider a smooth slot along a diameter fo a disc of radius R rotating counter-clockwise with a constant angular speed omega about its vertical axis through its center. We assign a coordinate system with the origin at the center of the disc, the x-axis along the slot, the y-axis perpendicular to the slot and the z-axis along the rotation axis (vecomega=omegahatk) . A small block of mass m is gently placed in the slot at vecr(R//2)hati at t=0 and is constrained to move only along the slot. The distance r of the block at time is

A satellite in a force - free space sweeps stationary interplanetary dust at a rate dM//dt = alpha v , where M is the mass , v is the velocity of the satellite and alpha is a constant. What is the deacceleration of the satellite ?

A particle of mass m id driven by a machine that delivers a constant power k watts . If the particle starts from at rest the force on the particle at time t is :

A particle is moving with velocity vecv = k( y hat(i) + x hat(j)) , where k is a constant . The genergal equation for its path is

A particle starts from the origin at t=0 s with a velocity of 10.0hatjm//s and moves in the x-y plane with a constant acceleration of (8.0hati+2.0hatj) " m s"^(-2) (a) At what time is the x - coordinate of the speed of the particle at the time ?

The masses and radii of the earth an moon are M_(1) and R_(1) and M_(2), R_(2) respectively. Their centres are at a distacne r apart. Find the minimum speed with which the particle of mass m should be projected from a point mid-way between the two centres so as to escape to infinity.