![]() ![]() Once we have collected the data, we can input it into Logger Pro and create a scatter plot with normal force on the x-axis and maximum static friction force on the y-axis. We can repeat this process for different normal forces and record the corresponding maximum static friction forces. At this point, the maximum static friction force has been reached. We can do this by placing a block on a surface and gradually increasing the normal force (by adding weights on top of the block) until the block starts to move. To do this, we need to collect data by measuring the maximum static friction force for different normal forces. the normal force (horizontal axis) and obtain the regression equation. ![]() The first question asks to use Logger Pro to graph the maximum static friction force (vertical axis) vs. Calculate the average coefficient of static friction and compare it to the value obtained for the horizontal ramp. ![]() Does the coefficient of kinetic friction depend 0n the weight of the block? Explain Extension for PHY2048_ Examine the force of static friction for an object on an incline The table below shows the height ofthe Famp at the moment the tray started to slide for each 0f the six masses and the length of the ramp Find the angle that causes a tray to start to slide. Does the force of kinetic friction depend on the weight of the block? Explain. Graph the force of kinetic friction Vs normal force: Please graph them of the same graph: To graph them on the same graph: Click Data and from the pull-down mane choose New Manual Column Label the Column Kinetic Friction and enter its corresponding values Hover the mouse over the name of the y-axis, when it shows a Y, click and choose all of the above Repeat the steps in part 7 10. the normal force (horizontal axis) : Obtain the regression equation_ Comment on the relationship write the corresponding equation describing the relationship Explain the mathematical meaning of the slope and the y-intercept 8. Does the coefficient of kinetic friction depend 0n the weight of the block? Explain Extension for PHY2048 Examine the force of static friction for an object on an incline The table below shows the height ofthe Famp at the moment the tray started to slide for each 0f the six masses and the length of the ramp Find the angle that causes a tray to start to slide. the normal force (horizontal axis) : Obtain the regression equation Comment on the relationship write the corresponding equation describing the relationship Explain the mathematical meaning of the slope and the y-intercept 8. SOLVED: Fv-Fx=m' g Use logger Pro to graph of the maximum static friction force (vertical axis) vS. A ∥ = Σ F ∥ m (use Newton’s second law for the parallel direction) a ∥ = m g sin θ − F k m (plug in the parallel forces) a ∥ = m g sin θ − μ k F N m (plug in the formula for the force of kinetic friction) a ∥ = m g sin θ − μ k ( m g cos θ ) m (plug in m g cos θ for the normal force F N ) a ∥ = m g sin θ − μ k ( m g cos θ ) m (cancel the mass that’s in the numerator and denominator) a ∥ = g sin θ − μ k ( g cos θ ) (savor the awe when you realize the acceleration doesn’t depend on mass) a ∥ = ( 9.8 m s 2 ) sin 3 0 ∘ − ( 0.150 ) ( 9.8 m s 2 ) cos 3 0 ∘ (plug in numerical values) a ∥ = 3.63 m s 2 (calculate and celebrate) \begin 0 0 0 0 sin θ cos θ sin θ tan θ θ θ θ = m g sin θ − μ s F N (plug in formula for maximum static friction force ) = m g sin θ − μ s ( m g cos θ ) (plug in expression for normal force on an incline ) = m g sin θ − μ s ( m g cos θ ) (divide both sides by m g ) = sin θ − μ s ( cos θ ) (savor the awe when you realize the angle doesn’t depend on the car’s mass) = μ s ( cos θ ) (solve for sin θ ) = μ s (divide both sides by cos θ ) = μ s (replace cos θ sin θ with tan θ ) = tan − 1 ( μ s ) (take inverse tangent of both sides) = tan − 1 ( 0. ![]()
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