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FALL_2013_PHY1321_assignment5_solutions.pdf

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Department
Physics
Course
PHY1321
Professor
Andrzej Czajkowski
Semester
Fall

Description
1.   A  shopper  in  a  supermarket  pushes  a  cart  with  a  force  of  35.0  N  directed  at   an  angle  of  25.0°  downward  from  the  horizontal.    Find  the  work  done  by  the   shopper  on  the  cart  as  he  moves  down  an  aisle  50.0  m  long.     W=FŸΔr=  (35)(50)cos25  =         2.   A  50.0-­‐‑kg  block  and  100-­‐‑kg  block  are  connected  by  a  string   as  in  Figure  P8.36.  The  pulley  is  frictionless  and  of  negligible  mass.   The  coefficient  of  kinetic  friction  between  the  50 -­‐‑kg  block  and  incline   is  0.250.  Determine  the  change  in  the  kinetic  energy  of  the  50 -­‐‑kg   block  as  it  moves  from  A  to  B,  a  distance  of  20.0  m     F =−n mgcos= °7.0 0 ∑ y ∴=n mgcos3 °7.0 400 N fn==µ 0.250(400 N ) 100 N −Δfx=Δ E mech Δ + Δ + Δ + Δ (−100)(0.0 ) U A B A B ΔU=hgh − = (50.0)(.80=)(0.0sin37.0 ) 5.90 10 3 A A f i ( ) ΔU=hh − = (10−)(×9.8)(20.0) 1.96 10 4 B B f i ( ) 1 2 2 ΔK=AifA2 − ( ) ΔK=vm 1 − ( 2 2 )= Δ=B K K 2 Bif 2 m A A A Adding and solving, ΔK=A 3.92 kJ .     3.   A  skier  of  mass  70.0  kg  is  pulled  up  a  slope  by  a  motor -­‐‑driven  cable.  (a)  How  much  work  is   required  to  pull  him  a  distance  of  60.0  m  up  a  30.0°  slope  (assumed  frictionless)  at  a  constant   speed  of  2.00  m/s?  (b)  A  motor  of  what  power  is  required  to  perform  this  ta
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