Ablock moves at 5 m/s in the positive x direction and hits an identical block, initially at rest. a small amount of gunpowder had been placed on one of the blocks. the explosion does not harm the blocks but it doubles their total kinetic energy. after the explosion the blocks move along the x axis and the incident block?

Speed of 1.83 m/s and 6.83 m/s

Explanation:

From the principle of conservation of momentum

where m is the mass, is the initial speed before impact, and are velocity of the impacting object after collision and velocity after impact of the originally constant object

Therefore

After collision, kinetic energy doubles hence

Substituting 5 m/s for then

Also, it’s known that hence

Solving the equation using quadratic formula where a=2, b=-10 and c=-25 then

Substituting,

Therefore, the blocks move at a speed of 1.83 m/s and 6.83 m/s

a straight line sloped