A 225g cart compresses a horizontal 650J/m² spring 3.2cm and is released from rest. The cart travels horizontall before going down a ramp. The top of the ramp is 25cm higher than the bottom. A. What is the speed of the cart after the spring decompresses but before it goes down the ramp? B. What is the speed of the cart at the bottom of the ramp?
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- Santa Clause is about to distribute his gifts, but his reindeer Rudolph is still sleepy. So, instead of flying they use the ground and cross a 20-m-long bridge. Starting from rest, Rudolph pulls Santa and his sleigh, with a force F 30° above the horizontal against a frictional force of 80N. 4. What is the change in the kinetic energy of Santa and his sleigh after crossing the bridge? 5. How fast are they moving at the end of the bridge?A huge cruiser with a mass of 6.50x107 kg has a velocity of 12 m/s in a instant. A. What is the kinetic energy of the spacecraft at this time? B. How much work does it take to stop it? C. What is the magnitude of the constant force to stop it, if it has a 2.5 kilometer displacement?a. Does a car’s kinetic energy change more when the car speeds up from 11 to 18 m/s or from 16 to 23 m/s? Explain. b. A stone cube is pressed against an uncompressed spring (length = 6.80 m) until it is fully compressed (length = 0.70 m), the stone cube is exactly at the bottom of an incline of slope 35.0°. Upon released, the spring projects the stone cube up the incline. Right when the stone cube is no longer in contact with the spring, it is moving up the incline at 8.70 m/s. The mass of the stone cube is 2.10 kg and the mass of the spring is negligible. Given that the μk between the stone cube and the surface of the incline is = 0.46. Calculate the amount of potential energy that was initially stored in the spring.
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