Concept explainers
Two forces,
(a)
The components of the particle’s velocity.
Answer to Problem 4P
The components of the particle’s velocity is
Explanation of Solution
Write the expression for velocity.
Here,
Write the expression for acceleration.
Here,
Write the expression for net force.
Here,
Rewrite the expression for (I) by using (II) and (III).
Conclusion:
Substitute,
Thus, the components of the particle’s velocity is
(b)
The direction of the moving particle.
Answer to Problem 4P
The direction of the moving particle is
Explanation of Solution
Write the expression for the direction of motion.
Here,
Conclusion:
Substitute,
Thus, the direction of the moving particle is
(c)
The displacement of the particle.
Answer to Problem 4P
The displacement of the particle is
Explanation of Solution
Write the expression for displacement.
Here,
Write the expression for x-displacement.
Here,
Write the expression for y-displacement.
Here,
Write the expression for the acceleration.
Rewrite the expression for the displacement by using (II), (III), (V), (VI) and (VII).
Conclusion:
Substitute,
Thus, the displacement of the particle is
(d)
The coordinates of the particle.
Answer to Problem 4P
The coordinates of the particle is
Explanation of Solution
Write the expression for position of the particle.
Here,
Conclusion:
Substitute,
Thus, the coordinates of the particle is
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Chapter 4 Solutions
Principles of Physics: A Calculus-Based Text
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