A 1000 kg race car starts from rest and reaches a speed of 100 km/h in...
A soapbox derby race car starts at rest at the top of a track that has a vertical drop of 15 m. The car is to be stopped at the end of the track by colliding with and compressing a spring. In order to avoid injury to the driver, the spring must be compressed to 3.0 m before the car stops. What should be the force constant of this spring? Assume the mass of the car and driver is 113...
A 2.00 kg block is pushed against a spring with negligible mass and force constant k = 400 N/m compressing it 0.220 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37.0 degree. What is the speed of the block as it slides along the horizontal surface after having left the spring? How far does the block travel up the incline before stops and starts to slide back...
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45 kg is released from rest from the top of a rough ramp, with Mass - coefficient of kinetic friction 0.25 between the block and the incline, of height 3.2 m and length d 5.5 m. At the bottom of the ramp, the mass slides on a horizontal, frictionless surface until it compresses a spring of spring constant k 2. 110 N/m. a. Calculate the speed of the mass at the bottom of the ramp? b. How far does...
f 57 kg starts from rest e at a height of 45 m. h shown in Figure 9. d peak. (4.5) A 58. A ball is attached to a vertical spring with a spring constant of 6.0 N/m. It is held at the equilibrium position of the spring and then released. It falls 0.40 m and then bounces back up again. Calculate the mass of the ball. (4.7) 59. A ball of mass 0.50 kg is attached to a horizontal...
7. A 1300 kg car drives up a 17 m high hill (the elevation of the hill is 17 meters). During the drive two nonconservative forces do work on the car: the force of friction and the force generated by the car’s engine. The work done by friction adds 331 kJ to the internal energy. The work done by the engine is 634 kJ. (a) What is the change in the car’s kinetic energy? (b) If the car started up...
A car starting from rest on a horizontal road accelerates for 11 seconds until it reaches a speed of 35 m/s. It then maintains this speed until it starts driving up a hill that is a 11° incline. Just as the car starts up the hill the engine dies and it coasts to a stop on the hill. A) Sketch the car’s trip. You can treat the horizontal and sloped parts as separate but connected. Identify all variables. Collect all...
A leggs of mass 12g slides along a frictionaless surface with an initial speed of 2.6 m/s . If the leggs slides up a ramp and comes to rest, at what height does the leggs come to rest? If the leggo slides into an uncompressed spring (k=6.2 kg/s^2) on a smooth horizontal surface, wnat is the maximum compression of the pring by the leggo? If the leggo sldes into an uncopressed spring (6.2 kg/s^2) on a smooth horizontal surface, what...
8. A 30.0-kg block slides down a frictionless incline. If the block starts from rest and has a speed of 3.00-m/s at the bottom, at what vertical distance did the block start its descent Answer: 0.459 m 9. It is found that a force of 18-N is required to stretch a spring by 0.300 meters from its natural length. (a) What is the spring constant of the spring? (b) How much energy is stored in the spring when it is...
A block of mass m = 3.00 kg starts from the rest and slides down a 30.0∘ incline which is 3.60 m high. At the bottom, it strikes a block of mass M = 6.40 kg which is at rest on a horizontal surface (Figure 1). (Assume a smooth transition at the bottom of the incline.) The collision is elastic, and friction can be ignored. (A) Determine the speed of the block with mass m = 3.00 kg after the...
21. A frictionless roller coaster car is released from rest on the track at a height of 50 m. How fast is the car going at the top of a circular loop with a radius- 12 m? (a) 19.8 m/s (b) 20.8 m/s (c) 21.7 m/s (d) 22.6 m/s (e) 23.6 m/s 7 22. A bullet (mass-0.0050 kg) is fired into a suspended block of wood (m-5.0 kg). Initially the wood is not moving. The bullet lodges in the wood....