Question

Robert Lewandowski, 80 kg, scores from the penalty spot 11 meters from the goal line. If the soccer ball has a mass of 425 g and an average velocity of 100 mph, with what power does it cross the goal line?

a) 5.94 kW
b) 4.57 kW
c) 3.61 kW
d) 2.83 kW

Answer 1

To calculate the power with which the soccer ball crosses the goal line, we need the time it takes to cross. However, the time is not given in the question, so we can't calculate the power.

Step-by-step explanation:

To calculate the power with which the soccer ball crosses the goal line, we need to find the kinetic energy of the ball at that moment. Kinetic energy is given by the equation KE = 0.5 * mass * velocity^2.

Given that the mass of the ball is 425g (0.425kg) and the velocity is 100mph (44.7m/s), we can substitute these values into the equation to find the kinetic energy. KE = 0.5 * 0.425 * (44.7)^2 = 426 J.

To find the power, we divide the kinetic energy by the time taken for the ball to cross the goal line. Unfortunately, the time is not given in the question, so we can't calculate the power.