4. Here we prove a version of the work-kinetic energy theorem for an object moving in 1-D subject to a constant force. Consider a mass m, traveling initially at speed v1, on which a constant net force F is applied in the same direction as its motion over a distance d. After the net force has acted over this distance, the speed of the object is v2. In terms of m, F , v1, v2, and d only, V, A) What is the acceleration of the mass? t=0 m F V, d t>0_m B) What is the time over which the mass travels the distance d? [Use one equation of constant acceleration to find this.] C) Use another equation of constant acceleration to relate m, F, v,, v2, and d. Show that the product W = Fd is equal to the change in the mass's kinetic energy.

A 6.2 kg object is moving in the positive x direction. When it passes through x = 0, a constant force directed along the axis begins to act on it. The figure here gives its kinetic energy K versus position x as it moves from x = 0 to x = 5.0 m; K0 = 26 J. The force continues to act. What is speed v when the object moves back through x = -2.7 m?

A student lifts a 2.1-kg physics book to a height of 64 cm and then puts it down to its original position. Assume that the speed of the book remains constant during the entire process. The work done by the student while lifting the book up, W, = Units Select an answer %D The work done by the gravity force while lifting the book up, W2 = Units Select an answer v %3D The work done by the student while putting the book down, W3 = Units Select an answer v %3D The work done by the gravity force while putting the book down, W4 = Units Select an answer v If the book is lifted up in 1.25 seconds, how much power was developed by the student? P = Units Select an answer Y Question Help: Message instructor D Post to forum Submit Question

A 400. kg cart slides along the track shown in the image, beginning at point A. It starts from rest and experiences no friction or air resistance. Once it gets to the point marked B, what is the cart’s speed AND the value of the normal force? Because of HuskyCT's limitations with multiple answer questions, please enter your two answers as numbers only, and with exactly 2 significant figures each.   The cart has a speed of ----- ??m/s. The value of the normal force at point B is  ------- ?N.