Question

if a sports team of 5 players having masses of all players 60, 70, 80, 90 and 100 kg who are running with the speed of 5, 6, 7, 8, 10 m/s to east. find out total momentum of the team.

Answer 1

To calculate the total momentum of the sports team, each player's mass is multiplied by their velocity to find their individual momentum, and these values are then summed to get the total of 3000 kg·m/s eastward.

Step-by-step explanation:

The question asks for the total momentum of a sports team composed of players with varying masses and speeds, all moving in the same direction (east). To find the total momentum, we must calculate the momentum of each player individually and then sum them up. Momentum is the product of an object's mass and its velocity (p = m × v), a vector quantity meaning it has both magnitude and direction.

Here are the calculations for each player's momentum:

Player 1: (60 kg)(5 m/s) = 300 kg·m/s

Player 2: (70 kg)(6 m/s) = 420 kg·m/s

Player 3: (80 kg)(7 m/s) = 560 kg·m/s

Player 4: (90 kg)(8 m/s) = 720 kg·m/s

Player 5: (100 kg)(10 m/s) = 1000 kg·m/s

The total momentum is the sum of the individual momenta:

Total momentum = 300 + 420 + 560 + 720 + 1000 = 3000 kg·m/s to the east.