044 SC 130 Physical science • Name:

  1. A child on a RipStik starts from a speed of zero at a vertical height of 0.20 meters above the bottom of a slope. The mass of the child and the RipStik is 25 kg. The acceleration of gravity g is 9.79 m/s².
    1. _________ __________ Calculate the Gravitational Potential Energy of the child and RipStik at the top of the slope.
    2. _________ __________ Use the relationship Kinetic Energy = Gravitational Potential Energy to calculate the speed of the child and the RipStik at the bottom of the slope.
    3. _________ __________ Use the velocity to calculate the momentum of the child and RipStik at the bottom of the slope.
  2. Mathematical models Mathematical models on the half shell background rectangle major grid lines axes x-axis and y-axis a square root path a quadratic path data points as circles linear regression line data points as rectangles data points as diamonds text layers Mathematical relationships x-axis labels A B C
    1. _____ Identify by the letter which of the mathematical relationships on the graph represents the time versus distance relationship for a RipStik moving at a constant linear velocity with no acceleration (as in the homework 021 in the second week).
    2. _____ Identify by the letter which of the mathematical relationships on the graph represents the time versus distance relationship for a ball falling under the constant acceleration of gravity g (as in laboratory three).
    3. _____ Identify by the letter which of the mathematical relationships on the graph represents the height versus velocity relationship for a marble rolling from a height h down a banana leaf and onto a flat table (as on Wednesday in class, homework 041).
  3. A student rolled a single marble three times into a line of five marbles. The first roll was a slow roll, the second was a fast roll, and the third roll was faster.
    Marbles on ruler track
    The student gathered the following data:

    Slow marble in: distance = 24 cm, time = 1.2 seconds.
    Slow marble out: distance = 24 cm, time = 1.6 seconds.
    Fast marble in: distance = 24 cm, time = 0.75 seconds.
    Fast marble out: distance = 24 cm, time = 1.0 seconds.
    Faster marble in: distance = 24 cm, time = 0.6 seconds.
    Faster marble out: distance = 24 cm, time = 0.8 seconds.

    1. Use the data above to calculate the velocity in and the velocity out. Record the velocities in the table below.
      Graphical analysis SVG with embedded table

      Velocity

      Marblevelocity
      in (cm/s)      		velocity out
      (cm/s)
      At rest00
      Slow
      Fast
      Faster
      background rectangle major grid lines axes text layers Velocity chart velocity in (cm/s) velocity out (cm/s) y-axis labels 0 4 8 12 16 20 24 28 32 36 40 y 0 4 8 12 16 20 24 28 32 36 40 44
    2. _________ __________ Calculate the slope of the line.
    3. _________ __________ Determine the y-intercept of the line.
    4. ___________ Was velocity gained or lost?
    5. _________ __________ For a velocity in of 60 cm/s, what is the predicted velocity out based on the data above?
    6. _________ __________ For a velocity out of 42 cm/s, what is the predicted velocity in based on the data above?

slope= ( y2 − y1 ) ( x2 − x1 )
d = ѵt
ѵ= Δd Δt
Gravitational Potential Energy GPE = mgh
acceleration of gravity g = 980 cm/s²
Kinetic Energy KE = ½mѵ²
KE=mѵ2 2
momentum = mass m × velocity ѵ