A particle is projected with a speed `v_(0) = sqrt(gR)`. The coefficient of friction the particle and the hemi- spherical plane is `mu = 0.5` Then , the acceleration of the partical is

Show that V_(0) =sqrt(gr)

A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by vec E = - E_0 hat k and vec B= -B_0 hat k , respectively. The particle enters into the field at (a_0, 0, 0) with velocity vec v = v_0 hat j . The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is mu . Then calculate the (a) time when the particle will come to rest (b) distance travelled by the particle when it comes to rest.

A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by vec E = - E_0 hat k and vec B= -B_0 hat k , respectively. The particle enters into the field at (a_0, 0, 0) with velocity vec v = v_0 hat j . The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is mu . Then calculate the (a) time when the particle will come to rest (b) distance travelled by the particle when it comes to rest.

A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by vec E = - E_0 hat k and vec B= -B_0 hat k , respectively. The particle enters into the field at (a_0, 0, 0) with velocity vec v = v_0 hat j . The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is mu . Then calculate the (a) time when the particle will come to rest (b) distance travelled by the particle when it comes to rest.

A particle is projected in gravity with a speed v_0 . Using W-E theorem, find the speed of the particle as the function of vertical distance y.

A particle is projected in gravity with a speed v_0 . Using W-E theorem, find the speed of the particle as the function of vertical distance y.

A particle is projected horizontally with a speed v_(0) at t = 0 from a certain point above the ground . What is the magnitude of tangential acceleration of the particle at t = t_(1) is ( Assume that the particle does not strike the ground between the time interval t = 0 to t = t_(1) )

A particle is projected horizontally with a speed v_(0) at t = 0 from a certain point above the ground . What is the magnitude of tangential acceleration of the particle at t = t_(1) is ( Assume that the particle does not strike the ground between the time interval t = 0 to t = t_(1) )

A particle moves in a circle of radius 5 cm with constant speed and time period 0.2pis . The acceleration of the particle is