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Concept explainers
(a)
The horizontal distance from seed pod to point where it hits the ground.
(a)
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Answer to Problem 46P
The horizontal distance is
Explanation of Solution
Write the equation to find the horizontal distance from seed pod to point where it hits the ground.
Here,
Since the seed is launched horizontally, initial velocity is equal to the horizontal component of velocity itself. Write the expression for
Here,
Rewrite the expression for
Write the equation to find
Here,
Since the seed is launched horizontally, vertical component of initial velocity is zero. y-component of acceleration is gravitational acceleration only.
Conclusion:
Substitute
Substitute
Thus, the horizontal distance is
(b)
The horizontal distance from seed pod to point where it hits the ground if it is projected at
(b)
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Answer to Problem 46P
The horizontal distance is
Explanation of Solution
Write the expression for
Here,
Rewrite the expression for
Consider the first part. Write the equation to find the maximum height of a projectile.
Write the equation to find the time taken to reach the height point of motion.
Here,
At the maximum height of projectile motion, vertical component of velocity is zero. Find the time taken to reach the ground from maximum height.
Here,
Write the equation for
Conclusion:
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the horizontal distance is
(c)
Check whether the air resistance is negligible in second case or not.
(c)
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Answer to Problem 46P
Role of air resistance is not considered on assuming that it is negligible.
Explanation of Solution
Note that in any of the calculations given, the influence of air drag is not considered. If taken, calculation will be more complex. Air drag is directly proportional to the square of velocity of projectile. Since the velocity of projectile is small, it can be assumed that air drag has no significant role in the projectile motion of seed.
Thus, the role of air resistance is not considered on assuming that it is negligible.
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Chapter 4 Solutions
COLLEGE PHYSICS-CONNECT ACCESS
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