= 36.0 m, y = 38.2 m, z = 43.2 m a. Assuming the track is frictionless, what is the minimum speed required at Point A for the roller-coaster to reach Point B? b. If the roller-coaster starts at Point A with this speed, how fast will it be going when it reaches Point B? c. What will be the maximum speed of the roller-coaster during this part of its trip

A 4.00kg block moves with an initial speed of3.50 km/h downhillover an inclined plane as shown in the figure. The height of the inclined plane is 51.3cm and the friction coefficient between the block and the incline is 0.120. a.How much is the speed of the block at the midpoint of the inclined side. b.How much is the speed of the block at the bottom of the inclined side.

At its maximum speed, a 4 kg sloth can climb a height of 6 m in 2 minutes. A. What is the primary energy transformation that is taking place? B. What is the force required for the sloth to climb at a constant speed? C. How much work does this sloth do climbing the tree? D. How much does the potential energy increase?

A bead is released from rest at position A on the track shown in the figure. This track is friction-free, and there is no appreciable air resistance. What is the speed of the bead at point C? 200 m 160 m B

A. Ignoring air drag, what is the takeoff speed of such a flea? (in m/s) B. Calculate the kinetic energy of this flea at takeoff (in J) C. Calculate the kinetic energy per kilogram of mass (in J/kg) D. If a 73.0 kg, 1.80 m tall human could jump to the same height compared with his length as the flea jumps compared with its length, how high could the human jump? (in m) E. If a 73.0 kg, 1.80 m tall human could jump to the same height compared with his length as the flea jumps compared with its length, what takeoff speed would the man need? (in m/s) F. Most humans can jump no more than 60.0 cm from a crouched start. What is the kinetic energy per kilogram of mass at takeoff for such a 73.0 kg person? (in J/kg)

The kinetic and potential energy of an object at time t1 are K1 = 31.0 J and U1 = 12.0 J. At time t2 the kinetic energy of the object is K2 = 18.0 J.  A. Determine the potential energy and total energy of the object at the time t2 if only conservative forces act on the object. Give your answer in J. B.  If the potential energy at t2 is U2 = 21.0 J, determine the amount of work (in J) done on the object by nonconservative forces.

A cart is sliding along a frictionless track. It is moving with a speed of 10 m/s at position A on the track shown in the figure. What is the speed of the bead at point C?