A 31.0 kW electric motor drives a vehicle at an average velocity of 9.20 m/s.  Assuming a constant force is applied in the direction of the vehicle's motion by the engine, what is the magnitude of the applied force?

An arrow of mass 0.0348 kilograms is placed on a bow, and the string is drawn back 0.533 meters with an average force of 143 newtons. a. With what speed does the arrow leave the bow?  b. If the arrow is shot straight up, how high does it rise? Solve using the law of conservation of energy, not a constant acceleration equation.

A 13.0kg stone slides down an icy, essentially frictionless, hill that is shown in the figure. At the top of the hill, the stone is moving at 1.75m/s down the hill. While the hill is frictionless, the stone experiences friction along the level, rough ground (beyond the base of the hill) all the way to a wall. The coefficients of static and kinetic friction are 0.800 and 0.300 respectively. The stone slides along the ground for 9.15m before making contact with a long spring, which has a spring constant of 25.0N/m. (“Long” in this case means that the spring is sufficiently long to stop the stone before it hits the wall.) Will the stone move again after it has been stopped by the spring?

10. Block 1 with a mass of 1.0 kg slides down a frictionless ramp with a height of 3.0 m and cllides with block 2 which has a mass of 2.0 kg. The flat surface has friction with a friction coefficient of 0.50. 2 a. Determine the speed of block 1 when it reaches the bottom of the ramp.

A3

A 4.25 kg block is projected at 5.40 m/s up a plane that is inclined at 30.0° with the horizontal. The block slides some distance up the incline, stops turns around and slides back down to the bottom. When it reaches the bottom of the incline again, it is traveling with a speed of 3.80 m/s. If the coefficient of kinetic friction between the block and the plane is 0.500, how far up the incline did the block slide?

Question 8 Two horses are used to pull a canal boat as shown in the figure. Each horse produces exactly 1 hp (745.7 W). The boat moves at a constant at a constant velocity of 1.69 m/s. If the angle between the motion of the boat and each of the ropes is 0 = 39.21°, then what is the tension in each rope? (809) A) O697.99 N B) 0540.82 N C) O1138.93N D) O284.73 N E) O569.47 N

Taylore has a couch that she wants to move in Davidson Student Center's lounge, with mass 12.7 kg. The couch starts at rest. Taylore pushes with an 24.4 N force, and the object has a displacement of 11.2 m, directed 30.0° from the direction of the force. What is the final speed of the couch? Your Answer: Answer

The Top Thrill Dragster at Cedar Point amusement park in Sandusky, Ohio, is one of the world’s most impressive roller coasters. Wearing only a lap harness in the open air, riders on a 10.5-ton train are accelerated by hydraulic motors on a level track to 120 mph in just 3.8 s. After this, no more power is supplied to the train, and it moves on its own. The train shoots straight up (twisting along the way) along the track to a height of 420 ft, before a straight-down descent. Calculate the kinetic energy of the train after the 3.8-s launch. Round the final answer to two decimal places.

A child stands on a bank beside a pond, grasps the end of a 20.0 m long rope attached to a nearby tree and swings out to drop into the water. When the rope makes an angle of 15.0⁰ with the vertical, the child's speed is 5.00 m/s. a) At what point in the swing does the child's maximum speed occur? b) What is the child's maximum speed? Ignore all frictional effects. c) Assuming the child started from rest, what angle did the rope initially make with respect to the vertical?