If m, v and c respectively denote mass, speed and the velocity of light, then in the equation `m = m_0(1-v^2/c^2)^(-1/2), find the dimension of m_0`

If m+2 , 4m-6 and 3m-2 are three consecutive terms of an A.P., find the value of m.

If x= -4/3 , 7/5 are the roots of the equation mx^2+nx-28=0 ,find the value of m.n

Find the value of capacitance C when A=1m^2 and d = 1mm.

Two objects of masses 100 g and 200 g are moving along the same line and direction with velocities of 2 m/s and 1 m/s, respectively. They collide and after the collision, the first object moves at a velocity of 1.67 m/s. Determine the velocity of the second object.

If a body of mass m is moving with velocity v then prove that kinetic energy of the body = frac(1)(2) mv^2

When a body of mass 'm' moves with a velocity 'v' its kinetic energy-

A satellite has mass m speed v and radius of circular orbit r. The force F acting on it is :

Find the values of m for which the equation x^2 -2 (5 + 2m) x+ 3 (7+ 10m) =0 has equal roots.

Solve the following linear equations. m -frac(m-1)(2) =1 -frac(m-2)(3)