Acceleration on a Ramp Word Problems
! =
∆!
∆!
, ! =
!! !!!
!
, ! =
∆!
∆!
!
!
!
, !! = !! + !" , ! = !! ! + ! !! ! , !!! = !!! + 2!∆! , ! = −9.8 !! ≈ −10 !! !""
!"#
sin ! = !!" , cos ! = !!" , tan ! =
!""
!"#
, ! + ! = ! , ! = !", ! = !", !! !! + !! !! = !! !!! + !! !!! !
!
!
!! = !!! , !! = !! !"#$, !! = !! !"#$ Round to one decimal place with at least one significant digit.
1.
A frictionless 15 kg cart is on a ramp which makes an angle of 55 degrees to the horizontal. A
string attaches it over a pulley to a mass. What size does the second mass need to be to
provide zero acceleration for the cart?
2.
A frictionless 5 kg cart is on a ramp which makes an angle of 35 degrees to the horizontal. A
string attaches it over a pulley to a mass of 3 kg. What is the acceleration of the cart and
does it go up or down the ramp?
3.
A 12 kg cart is on a ramp which makes an angle of 25 degrees to the horizontal. A string
attaches it over a pulley to a mass of 3 kg. The cart goes down the ramp with an acceleration
of -1.1
!
!!
. What is the force of friction acting on the cart?