Final answer:
To lift a team of 10 football players weighing 200 pounds each, you would need a lever that is approximately 13.33 ft long. This can be determined by balancing the torque exerted by the football players with the torque you exert.
Step-by-step explanation:
To find the length of the lever needed to lift a team of 10 football players weighing 200 pounds each, we can use the concept of torque. Torque is calculated by multiplying the force applied to the lever by the distance from the fulcrum. In this case, the force is the weight of the football players, and the distance is the distance between you and the fulcrum.
We can calculate the torque exerted by the football players by multiplying their weight (10 players x 200 pounds) by their distance from the fulcrum. Since you are placed 10 ft from the fulcrum, the torque exerted by the football players is (10 players x 200 pounds) x 10 ft = 20,000 ft-lbs.
In order to balance the torque, your weight and distance from the fulcrum should exert an equal but opposite torque. Since you weigh 150 lbs and are placed 10 ft from the fulcrum, the torque you exert is 150 lbs x 10 ft = 1500 ft-lbs.
To balance the torques and lift the football players, the length of the lever needed is determined by dividing the torque exerted by the football players by the torque you exert:
Length of lever = Torque exerted by football players / Torque you exert = 20,000 ft-lbs / 1500 ft-lbs = 13.33 ft.
Therefore, the lever would need to be approximately 13.33 ft long to lift a team of 10 football players weighing 200 pounds each.