A1.0 kg lump of clay is sliding to the right on a frictionless surface with speed 2 m/s . it collides head-on and sticks to a 0.5 kg metal sphere that is sliding to the left with speed 4 m/s . what is the kinetic energy of the combined objects after the collision?

0J

Explanation:

Mass of the lump M1 = 1.0 kg, initial velocity of the lump U1 = 2m/s to the right,

mass of the metal sphere M2 = 0.5kg, initial velocity of the metal sphere M2 = -4m/s to the left. using conservation law of momentum;

M1U1 + M2U2 = V (M1 + M2)

(1.0 × 2) + (0.5 × -4) = V (1 + 0.5)

2 -2 = V (1.5)

0 = V (1.5)

divide both side by 1.5

0/1.5 = V 1.5/1.5

V = 0

since final velocity after sticking together of the two masses equals zero then their combined kinetic energy will also equal to zero

1/2 V(M1 +M2)

1/2 ×0 × 1.5 = 0J

after lydia compare her check register to her bank statement, and the ending balances do not seem to match. then, she must make a bank reconciliation by putting the data all together.

to do this, she need to determine the bank ending balance. after, add the deposits in transit then deduct the outstanding checks. moreover, if the actual checkbook balance does not equal this number, check again for transporting errors by subtracting the balances and add the difference to nine. sometimes, a mathematical error can happen but a bank reconciliation is a great tool to resolve the discrepancies.