Question

Help Please

A baseball has a mass of 140 grams and a softball has a mass of 280 grams. In which of the following situations would they both have the same momentum?

A.) The baseball and softball are thrown at 33 m/s in the same direction.

B.) The baseball and softball are thrown at 33 m/s in opposite directions.

C.) The baseball is thrown at 25 m/s and the softball is thrown at 50 m/s.

D.) The baseball is thrown at 50 m/s and the softball is thrown at 25 m/s.

Please answer asap. Thanks in advance

Answer 1

Since the baseball is half the weight of the softball, the baseball has to go twice as fast as the softball.

So the best answer would be D

Answer 2

D.) The baseball is thrown at 50 m/s and the softball is thrown at 25 m/s.

Step-by-step explanation:

mass of ball 1

`m_1 = 140 grams`

mass of ball 2

`m_2 = 280 grams`

now we know that if the momentum of two balls are same then we will have

`P_1 = P_2`

`m_1v_1 = m_2 v_2`

so we have

`140 v_1 = 280 v_2`

`v_1 = 2 v_2`

so velocity of light ball must be twice the velocity of heavy ball

so correct answer will be

D.) The baseball is thrown at 50 m/s and the softball is thrown at 25 m/s.