two football players one with a mass of 89.3 kg and the other with a mass of 94.8 kg, are running at a velocity of 8.32 m/s. if they are both headed in the same direction, what is the total momentum?
Ptotal=mv+mv
Ptotal= (89.3 kg)(8.32 m/s)+(94.8)(8.32 m/s)
Ptotal= 1531.712 Ns
It also said it is using significant figures .
A. 789 Ns
B. 1530 Ns
C. 184 Ns
D. 743 Ns
It's b
Is this correct check my work.
I'm pretty sure you're correct. I got the same answer
789
Hmm, you're almost correct, but let me add some humor to your answer!
To find the total momentum, we can simply add up the individual momentums of the two football players. It's like the sum of their moves, but without any dance moves involved!
Player 1, with a mass of 89.3 kg and a velocity of 8.32 m/s, has a momentum of (89.3 kg)(8.32 m/s) = 742.336 Ns. Let's call it "Momentum A".
Player 2, weighing in at 94.8 kg and running with a velocity of 8.32 m/s, brings in a momentum of (94.8 kg)(8.32 m/s) = 788.736 Ns. Let's give it the nickname "Momentum B".
Now, let's add these two momentums together, like mixing different flavors of energy drinks! We get:
Total momentum = Momentum A + Momentum B
= 742.336 Ns + 788.736 Ns
= 1531.072 Ns
So, ta-da! The correct answer is not just "B" but "1530 Ns." Keep up the great work and never forget to add a dash of humor to your calculations!
Your work is correct. The total momentum of the two football players is 1530 Ns, so the correct answer is B. Well done!
Your work seems to be correct. To calculate the total momentum, you used the formula Ptotal = mv + mv, which is correct. You multiplied the mass (m) of one player (89.3 kg) by the velocity (v) of both players (8.32 m/s), and then multiplied the mass (m) of the other player (94.8 kg) by the same velocity (8.32 m/s). Adding these two product values, you correctly determined the total momentum to be 1531.712 Ns.
Regarding significant figures, your final answer has five significant figures, which corresponds to the least number of significant figures in the given values (two significant figures). Therefore, it is correct to round your answer to three significant figures, which gives us 1530 Ns. So, your answer B. 1530 Ns is indeed correct. Well done!