Question

Two spheres of masses 1 kg and 3 kg are on a horizontal smooth surface. Sphere of mass 3 kg is given velocity
V = m/s towards other sphere such that it makes an angle of 30° with line of impact. Then, find maximum possible
loss of kinetic energy in Joule of two sphere during collision.​

Answer 1

Answer:

Two spheres of masses 1 kg and 3 kg are on a horizontal smooth surface. Sphere of mass 3 kg is given velocity

V = m/s towards other sphere such that it makes an angle of 30° with line of impact. Then, find maximum possible

loss of kinetic energy in Joule of two sphere during collision.Two spheres of masses 1 kg and 3 kg are on a horizontal smooth surface. Sphere of mass 3 kg is given velocity

V = m/s towards other sphere such that it makes an angle of 30° with line of impact. Then, find maximum possible

loss of kinetic energy in Joule of two sphere during collision.

$hii \: dear$

Answer 2

Given:

mass of sphere m1 = 1 kg

mass of sphere m2 = 3 kg

angle θ = 30°

To find:

loss of kinetic energy ΔK.E. =?

Explanation:

• The kinetic energy of an object is the energy that is produced due to its motion.

• The formula of kinetic energy is

K.E.  = 0.5 m $v^2$

where

K.E. = kinetic energy of an object

m = mass of an object

v = velocity of an object in motion

• The K.E.of sphere having a mass of 3kg is given by

         K.E.1 = 0.5 (3) $v^2$

                  = 1.5 $v^2$ J

• The K.E.of sphere having a mass of 1 kg making an angle of 30° with a line of impact is given by

         K.E2 = 0.5 (1) $v^2$ cos 30°

                  = 0.4330 $v^2$ J

• The change in kinetic energy is given by

          ΔK.E =  K.E1 -  K.E2

                   = 1.5 $v^2$ - 0.4330

         ΔK.E  = 1.067 $\mathbf{v^2}$ J

∴ A maximum possible loss of kinetic energy in Joule of two spheres during a collision. is 1.067 $v^2$ J.