The two blocks of masses m and 2m shown above initially travel at the same speed v but in opposite directions. they collide and stick together. what is the final velocity of the mass m after the collision? a. -1/6v. b. -1/3v. c. 1/6v. d. 1/3v. figure: two box are colliding

option B.

Explanation:

given,

Mass of the blocks 1 = M

Mass of the blocks 1 = 2 M.

initial speed of the block 1= v

initial speed of the block 2 = - v

where V is the final speed of the blocks after collision

using conservation of momentum

M v + 2 M (-v) =  (M + 2 M) V

3 M V = - M v    

velocity of the blocks after collision is equal to -v/3 m/s

hence, the correct answer is option B.

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.