help@askiitians.com

+91-87964 74404

Grade 11Mechanics

One cosmic-ray proton approaches the Earth along its axis with a velocity of 0.787c toward the north pole and another, with velocity 0.612c, toward the south pole. See Fig. 20-24. Find the relative speed of approach of one particle with respect to the other. (Hint: It is useful to consider the Earth and one of the particles as the two inertial reference frames.)

Simran Bhatia

11 Years agoGrade 11

1 Answer

Aditi Chauhan

11 Years ago

To find out the relative speed of approach of one particle with respect to the other, substitute 0.787c for v₀, 0.612c for u in the equation v = (v₀ + u) / (1 + v₀u/c₂),
v = (v₀ + u) / (1 + v₀u/c²)
= (0.787c + 0.612c) / (1+(0.787c) (0.612c)/c²)
= 1.399c / (1+0.4816)
= 0.944c
From the above observation we conclude that, the relative speed of approach of one particle with respect to the other would be 0.944c.

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

mechanics

1 Answer Available

Last Activity: 9 Months ago

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

11
21
31
41

mechanics

1 Answer Available

Last Activity: 10 Months ago

A metal strip clamped at one end vibrates with a frequency of 20 Hz and amplitude of 5 mm
at the free end, where a small mass of 2 g is positioned. determine
(i) The velocity of the end when passing through the zero position
(ii) The acceleration at maximum displacement
(iii) The maximum kinetic energy of the mass

mechanics

2 Answers Available

Last Activity: 3 Years ago

An object of mass m = 0.25 kg oscillates in a fluid at the end of a vertical spring of spring
constant kH = 85 N/m, see Fig.1. The effect of the fluid resistance is governed by the
damping constant b = 0.07kg/s.
(i) Find the period of the damped oscillation.
(ii) By what percentage does the amplitude of the oscillation decrease in each cycle?

mechanics

1 Answer Available

Last Activity: 3 Years ago

If a=x² find the displacement at t =3sec if body velocity at t= 0 sec is 0

mechanics

1 Answer Available

Last Activity: 3 Years ago

View all Questions