Home
Class 11
PHYSICS
A famous relation in physics relates ‘mo...

A famous relation in physics relates ‘moving mass' m to the ‘rest mass’ `m_0` of a particle in terms of its speed v and the speed of light, c. (This relation first arose as a consequence of s'pecial relativity due to Albert Einstein). A boy recalls the relation almost correctly but forgets where to put the constant c. He writes: `m = m_0/(1-v^2)^(1/2)`

Promotional Banner

Similar Questions

Explore conceptually related problems

A stationary particle explodes into two particle of masses m1 and m2 and move in opposite directions with velocities v1 and v2.The ratio of their K.E is

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

A bob of mass 0.1 kg hung from the ceiling of a room by a string 2 m long is set into oscillation. The speed of the bob at its mean position is 1 m s^1. What is the trajectory of the bob if the string is cut when the bob is (a) at one of its extreme positions, (b) at its mean position.

Light enters from air to diamond which has refractive index of 2.42. Calculate the speed of light in diamond . The speed of light in air is 3.0 xx 10^8 m s^-1

A partiale of mass m is moving in a circular path of radius r such that its centripetal acceleration is varying with time t as a_c = k^2rt^2, where k is constant. The power delivered to the particle by the forces acting on it is

Forces F_1 and F_2 and applied on two bodies of mass m each. The acceleration produced in them are a and 2a respectively. Find the relation between F_1 and F_2

A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev/s at the bottom of the circle. The cross-sectional area of the wire is 0.065 cm^2 . Calculate the elongation of the wire when the mass is at the lowest point of its path.

Two billiard balls each of mass 0.05 kg moving in opposite directions with speed 6 m s~1 collide and rebound with the same speed. What is the impulse imparted to each ball due to the other?

A constant force acting on a body of mass 3.0 kg changes its speed from 2.0 m s^-1 to 3.5 m s^-1 in 25 s. The direction of the motion of the body remains unchanged. What is the magnitude and direction of the force?