Aparticle of mass 4.0 kg is constrained to move along the x-axis under a single force f(x) = −cx3 , where c = 8.0 n/m3 . the particle’s speed at a, where xa = 1.0 m, is 6.0 m/s. what is its speed at b, where xb = −2.0 m?

A14 kg rock starting from rest free falls through a distance of 5.0 m with no air resistance. find the momentum change of the rock caused by its fall and the resulting change in the magnitude of earths velocity. earth mass is 6.0 * 10^24 kg. show your work assuming the rock earth system is closed.

In addition to gravity, what is the other predominant force that affects the motion of a pendulum?

During the apollo moon missions, astronauts were concerned about the effects of newton's third law of motion when: o a. they ejected waste water, because they were concerned that it would push them off course. o b. they reentered earth's atmosphere, because they were carrying heavy moon rocks. o c. they took off from earth, because a large force was required to generate large acceleration. o d. they detected incoming space debris, because the inertia of the debris could damage their ship.