Concept explainers
The x and y coordinates of a 4.00-kg particle moving in the xy plane under the influence of a net force F are given by x = t4 − 6t and y = 4t2 + 1, with x and y in meters and t in seconds. What is the magnitude of the force F at t = 4.00 s?
Find the magnitude of the force at
Answer to Problem 23PQ
The magnitude of force at
Explanation of Solution
Write the Newton’s second law of motion for x and y component.
Here,
Write the magnitude of the force.
Here,
Write the x and y component of the velocity and acceleration of the particle.
Here,
Conclusion:
Substitute
Substitute
Substitute
Substitute
Therefore, the magnitude of force at
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