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PHYS_2014_Sample_Exam_3_soln

# PHYS_2014_Sample_Exam_3_soln - PHYS2014 Benton Fall 2010...

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PHYS2014 Fall 2010 Benton OSU Physics Dept. 1 Physics 2014: General Physics I Solutions to Sample Midterm Exam No. 3 1. Embrace in Space: Remember that little marital spat in space we analyzed for Homework Assignment 7? Well this husband and wife astronaut team have decided to kiss (to the degree that is possible when both are wearing space suits) and make up. As pictured above, Astronaut H ( m H = 170 kg) is floating toward the right at a speed of 3.0 m/s and Astronaut W ( m W = 155 kg) is floating downwards to the left at 5.5 m/s and at a 30 ° angle relative to the trajectory of Astronaut H when the two meet and embrace. Find the speed and angle at which the two astronauts float off together towards marital bliss. Solution: Like all encounters in a marriage, this is an inelastic collision. It is in two dimensions and so we need the x and y components of conservation of linear momentum. ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 cos30 cos sin30 sin sin30 sin cos30 cos sin30 cos30 sin cos 1 sin30 cos30 H H W W H W f W W H W f W W H W f H H W W H W f W W H H W W H W f H W f W W H H W W f m v m v m m v m v m m v m v m m v m v m v m m v m v m v m v m m v m m v m v m v m v v θ θ θ θ θ θ = + = + = + = + + = = + + + + = ringoperator ringoperator ringoperator ringoperator ringoperator ringoperator ringoperator ( ) ( ) ( ) ( ) ( ) 2 2 2 2 2 sin30 cos30 H W W W H H W W f H W m m m v m v m v v m m + + = + ringoperator ringoperator ringoperator

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PHYS2014 Fall 2010 Benton OSU Physics Dept. 2 ( ) ( ) ( ) ( ) 2 2 2 1 m m m 155kg 5.5 sin30 170kg 3.0 155kg 5.5 cos30 s s s m 1.5 s 170kg 155kg sin 30 sin 61 f W W H W f v m v m m v θ + = = + = = − + ringoperator ringoperator ringoperator ringoperator
PHYS2014 Fall 2010 Benton OSU Physics Dept. 3 2. Instead of a Hot Wheels car (as in the homework problem) or a billiard ball (as in the lecture), I roll a ping pong ball down the track as shown above. The radius of the loop is 12 cm. The mass of a ping pong ball is 2.7 g, while its radius is 2 cm. Assuming the ball rolls perfectly without slipping, from what height must I start the ball so that it successfully loops the loop?

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PHYS_2014_Sample_Exam_3_soln - PHYS2014 Benton Fall 2010...

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