A small object with mass m = 0.0900 kg moves along the +x-axis. The only force on the object is a conservative force that has the potential-energy function U(x) = −αx^2 + βx^3, where α= 5.00 J/m^2 and β = 0.300 J/m^3. The object is released from rest at small x. When the object is at x = 4.00 m, what are its:
(a) speed and (b) acceleration (magnitude and direction)?
(c) What is the maximum value of x reached by the object during its motion?

An incident ray through the focal point of a spherical mirror will: reflect through the center of curvature. reflect back through the focal point. reflect parallel to the principle axis. reflect the same direction as the incident ray.

Mutt and jeff are running along a path each pushing a cart loaded with rocks. if mutt's wagon has a mass two times greater than jeff's and they want to stay together, arriving at their destination at the same time, what must happen? a) jeff should slow down so mutt can catch up. b) mutt must use half as much force to push his cart. c) mutt must use twice as much force to push his cart. d) mutt and jeff will use the same force, but mutt will take bigger steps.

Select the correct answer. what does the process of natural selection involve?