(a)
Find on which planet the object would reach the ground floor.
(a)
Answer to Problem 43PPS
The object on Earth will reach the ground first because it is falling at a faster rate.
Explanation of Solution
Given:
The height of an object t seconds after it is dropped is given by the equation
Concept Used:
The acceleration due to gravity near the surface of Mars is
The object on Earth will reach the ground first because it is falling at a faster rate.
Thus, the object on Earth will reach the ground first because it is falling at a faster rate.
(b)
Find the time would it take the object to reach the ground on each planet.
(b)
Answer to Problem 43PPS
The time needed for Mars is
Explanation of Solution
Given:
The height of an object t seconds after it is dropped is given by the equation
Concept Used:
Us the equation
The acceleration due to gravity near the surface of Mars is
The acceleration due to gravity near the surface of is 9.8
Calculation:
Mars:
So,
Earth:
So,
Thus, the time needed for Mars is
(c)
Explain the reason how long would it take the object to reach the ground seen reasonable.
(c)
Answer to Problem 43PPS
Yes, the acceleration due to gravity is much greater on Earth than on Mars, so the time to reach the ground should be much less.
Explanation of Solution
Given:
The height of an object t seconds after it is dropped is given by the equation
Concept Used:
Yes, the acceleration due to gravity is much greater on Earth than on Mars, so the time to reach the ground should be much less.
Thus, yes, the acceleration due to gravity is much greater on Earth than on Mars, so the time to reach the ground should be much less.
Chapter 9 Solutions
Algebra 1
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