The goalkeeper catches a soccer ball flying at a speed of 54 km / h. What speed does the goalkeeper

| January 12, 2021 | education

The goalkeeper catches a soccer ball flying at a speed of 54 km / h. What speed does the goalkeeper gain if the ball is 600g and the goalkeeper is 80kg?

Given:
v = 54 km / h – the speed of the soccer ball caught by the goalkeeper;
m1 = 80 kilograms – the goalkeeper’s weight;
m2 = 600 grams = 0.6 kilograms – the mass of a soccer ball.
It is required to determine v1 (meter per second) – the speed of the goalkeeper after he has caught the ball.
Let’s convert the units of measurement of speed to the SI system:
v = 54 km / h = 54 * 10/36 = 15 m / s.
Then, according to the law of conservation of momentum (momentum):
m2 * v = (m1 + m2) * v1;
v1 = m2 * v / (m1 + m2);
v1 = 0.6 * 15 / (80 + 0.6) = 9 / (80 + 0.6) = 9 / 80.6 = 0.1 m / s (the result was rounded to one decimal place).
Answer: The speed of the goalkeeper after he has caught the ball will be 0.1 m / s.



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