Assume the recommended single dose of an antihistamine for a child weighing 36–47 lbs is 1.50 teaspoons (tsp) . If 1.00 tsp contains 12.5 mg per 5 mL of the active ingredient in the antihistamine, how many milligrams of active ingredient does the recommended dose for a child weighing 36–47 lbs contain? Assume that 1.00 tsp = 5 mL .

18.75 milligrams of active ingredient is the recommended dose for a child weighing 36–47 lbs .

Explanation:

Recommended dose of an antihistamine for a child weighing 36–47 lbs = 1.50 tsp

1 table spoon of antihistamine has 12.5 mg per 5 mL of dose.

Amount of dose in 1 teaspoon =

Volume of 1 tsp = 5 ml

Volume of 1.50 teaspoon =

Amount of antihistamine in 7.50 mL :

18.75 milligrams of active ingredient is the recommended dose for a child weighing 36–47 lbs .

where are the choice options?

(newtons first law)

conservation of momentum law states :

momentum before collision = momentum after collision

momentum p (kg-m/s)= mass * velocity

say moving car=1 000 kg, velocity = 10 m/s then p = 1 000*10= 10 000 kg-m/s

say still car = 2 000 kg, velocity = 0 m/s then p = 2 000* 0 = 0 kg-m/s

total momentum prior to collision = 10 000 + 0 = 10 000 kg-m/s

momentum after collision = 10 000 kg-m/s

mass now = 1 000 kg+2 000 kg = 3 000 kg

10 000 = 3 000 kg* velocity m/s

10 000/3 000 = velocity

3.33 m/s = velocity after collision

an impulse is a force applied over time , momentum is exclusive of external forces and a perfect collision is implied