Share
What force is required so that a particle of mass m has the position function r(t) = t3 i + 7t2 j + t3 k?
Question
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Answers ( )
Answer:
Explanation:
Recall that force is defined as mass times acceleration, and acceleration is the second derivative with respect to time of the position. Since the position comes in terms of time, and with separate functions for each component in the three dimensional space, we first calculate the velocity (with the first derivative, and then the acceleration as the second derivative:
Therefore, the force will be given by the product of this acceleration times the mass “m”: