A 120 kg football player tries to dive into the endzone at 7.5 m/s to score a touchdown. A 150 kg player dives out of the endzone into the other player at 5 m/s to try and stop him. They collide at the goalline and the tackler holds on to the player diving into the endzone. does the player score a touchdown or not

yes
no
they both stop exactly on the goaline
need more information

Im thinking its yes because the smaller player has more momentum so he would make it but I could see that maybe the answer could be need more information since they don't tell the distance but Im not sure.

M1*V1=M2*V2

Whichever has the most momentum will win. Just multiply MassxVelocity and compare.

To determine whether the football player scores a touchdown or not, we can analyze the concept of momentum. Momentum is calculated by multiplying an object's mass by its velocity. Therefore, the momentum of the first player (120 kg) can be calculated as:

Momentum1 = mass1 x velocity1
Momentum1 = 120 kg x 7.5 m/s
Momentum1 = 900 kg·m/s

The momentum of the second player (150 kg) can be calculated as:

Momentum2 = mass2 x velocity2
Momentum2 = 150 kg x 5 m/s
Momentum2 = 750 kg·m/s

When the players collide, the total momentum before the collision is equal to the total momentum after the collision, according to the law of conservation of momentum.

Total momentum before collision = Total momentum after collision

Momentum1 + Momentum2 = Total momentum after collision

900 kg·m/s + 750 kg·m/s = Total momentum after collision

1650 kg·m/s = Total momentum after collision

Since the tackler holds onto the player diving into the endzone, the total momentum after the collision is zero. This occurs when they both stop exactly on the goaline. Therefore, the answer is that they both stop exactly on the goaline.

Thus, the correct answer is "they both stop exactly on the goaline."