Question

An object with mass m moves along the x-axis. Its position at any time is given by x(t)=pt³+qt² where p and q are constants. Find the net force on this object for any time t.

a) 6p²t+2qt
b) 3pt²+2qt
c) 6pt+2qt
d) 3pt²+qt

Answer 1

The net force on an object with mass m moving along the x-axis, given its position function x(t) = pt³ + qt², is 3pt² + 2qt. Therefore, the correct option is (b) 3pt² + 2qt.

Step-by-step explanation:

The net force on an object can be found by taking the derivative of the position function with respect to time. In this case, the position function is x(t) = pt³ + qt².

Taking the derivative of x(t) with respect to t, we get dx/dt = 3pt² + 2qt. Therefore, the net force on the object is given by the derivative of x(t) with respect to t, which is 3pt² + 2qt.

Hence, the correct answer is option (b) 3pt² + 2qt.