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1. Refer to figure 1: A frictionless ramp inclined at 30.0° has a solid, homogeneous ball that sits atop the ramp 10.0 m above the ground. From a dead stop it rolls down the ramp. The ball cruises across another frictionless surface at the same velocity when it reached the bottom of the ramp. It proceeds to go up another frictionless ramp inclined at 30.0° but only is 5.00 m high. It then rolls/launches off the second ramp with some velocity. Calculate the initial potential energy the ball had, along with the maximum kinetic energy it gained. Was there any work the ball made while it was cruising between the ramps? What speed did the ball launch off the 2nd ramp? Once it's in the air, how high does the ball go? How long does it take to get to that height? How far does it travel horizontally? Figure 1: NOT DRAWN TO SCALE: Ball (yellow) is 10.0 m above the surface of a ramp at 30.0° inclination. The ball shoots off the second ramp, which only goes 5.0 m high. When the ball leaves the 2nd ramp, it then splash-lands in a stream (blue).

1. Refer to figure 1: A frictionless ramp inclined at 30.0° has a solid, homogeneous ball that sits atop the ramp 10.0 m above the ground. From a dead stop it rolls down the ramp. The ball cruises across another frictionless surface at the same velocity when it reached the bottom of the ramp. It proceeds to go up another frictionless ramp inclined at 30.0° but only is 5.00 m high. It then rolls/launches off the second ramp with some velocity. Calculate the initial potential energy the ball had, along with the maximum kinetic energy it gained. Was there any work the ball made while it was cruising between the ramps? What speed did the ball launch off the 2nd ramp? Once it's in the air, how high does the ball go? How long does it take to get to that height? How far does it travel horizontally? Figure 1: NOT DRAWN TO SCALE: Ball (yellow) is 10.0 m above the surface of a ramp at 30.0° inclination. The ball shoots off the second ramp, which only goes 5.0 m high. When the ball leaves the 2nd ramp, it then splash-lands in a stream (blue).

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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estions 1-3 are related among each other. 1. Refer to figure 1: A frictionless ramp inclined at 30.0° has a solid, homogeneous ball that sits atop the ramp 10.0 m above the ground. From a dead stop it rolls down the ramp. The ball cruises across another frictionless surface at the same velocity when it reached the bottom of the ramp. It proceeds to go up another frictionless ramp inclined at 30.0° but only is 5.00 m high. It then rolls/launches off the second ramp with some velocity. Calculate the initial potential energy the ball had, along with the maximum kinetic energy it gained. Was there any work the ball made while it was cruising between the ramps? What speed did the ball launch off the 2nd ramp? Once it's in the air, how high does the ball go? How long does it take to get to that height? How far does it travel horizontally? Figure 1: NOT DRAWN TO SCALE: Ball (yellow) is 10.0 m above the surface of a ramp at 30.0° inclination. The ball shoots off the second ramp, which only goes 5.0 m high. When the ball leaves the 2nd ramp, it then splash-lands in a stream (blue). 2. Refer to figure 2: The ball then lands in a fast moving river, barely floating in water. The ball now travels down stream with a velocity of 10.0 m/s when suddenly the river goes from 10.0 m wide to just 2.00 m. It also travels through a change in density, from 1000.0 kgm (blue) to 950.0 kgm (yellow). How fast is the ball traveling at the end of the river? Was there any work done on the ball, and if so how much?
Transcribed Image Text:estions 1-3 are related among each other. 1. Refer to figure 1: A frictionless ramp inclined at 30.0° has a solid, homogeneous ball that sits atop the ramp 10.0 m above the ground. From a dead stop it rolls down the ramp. The ball cruises across another frictionless surface at the same velocity when it reached the bottom of the ramp. It proceeds to go up another frictionless ramp inclined at 30.0° but only is 5.00 m high. It then rolls/launches off the second ramp with some velocity. Calculate the initial potential energy the ball had, along with the maximum kinetic energy it gained. Was there any work the ball made while it was cruising between the ramps? What speed did the ball launch off the 2nd ramp? Once it's in the air, how high does the ball go? How long does it take to get to that height? How far does it travel horizontally? Figure 1: NOT DRAWN TO SCALE: Ball (yellow) is 10.0 m above the surface of a ramp at 30.0° inclination. The ball shoots off the second ramp, which only goes 5.0 m high. When the ball leaves the 2nd ramp, it then splash-lands in a stream (blue). 2. Refer to figure 2: The ball then lands in a fast moving river, barely floating in water. The ball now travels down stream with a velocity of 10.0 m/s when suddenly the river goes from 10.0 m wide to just 2.00 m. It also travels through a change in density, from 1000.0 kgm (blue) to 950.0 kgm (yellow). How fast is the ball traveling at the end of the river? Was there any work done on the ball, and if so how much?
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