Concept explainers
If you drop at the same time a regular soccer ball and a soccer ball filled with sand from the top of a tall building, the ball to land first will be,
(a) regular soccer ball.
(b) ball filled with sand.
(c) They will hit at the same time
The correct option for the statement "If you drop at the same time a regular soccer ball and a soccer ball filled with sand from the top of a tall building, the ball to land first will be,".
Answer to Problem 9RAT
The correct option for the statement "If you drop at the same time a regular soccer ball and a soccer ball filled with sand from the top of a tall building, the ball to land first will be," is option (c).
Explanation of Solution
When any object is free-fall, the object’s acceleration is become equal to the gravitational acceleration.
Write the expression for gravitation force acting on a free-falling body.
Here,
G is the gravitational constant
M is the mass of a planet
m is the mass of a body
d is the separation distance
Write the expression for the force on a body by Newton's second law.
Here,
m is the mass of a body
a is the acceleration of a body
By combining both expressions.
This expression concludes that the acceleration acting on a free-falling body is independent of its mass; thus, they both will hit at the same time.
Conclusion:
Therefore, the correct option for the statement "If you drop at the same time a regular soccer ball and a soccer ball filled with sand from the top of a tall building, the ball to land first will be," is option (c).
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