Explanation Since there is no any acceleration along y direction, net force along y direction is zero. Write the expression for net force along y direction. Σ F y = N − m g = 0 Here, Σ F y is the net force m along y direction, N is the normal force on the pizza by surface towards up direction, m is the mass of the pizza and g is the acceleration due to gravity. Rearrange above equation to get N . N = m g (I) Write the net force along x direction. Σ F x = − m a Here, Σ F x is the net force along x direction and a is the acceleration of the pizza. Negative sign indicate that speed of pizza decreases to wards zero. Since friction force opposes the motion, write the equation of net force along y direction. − f k = m a Here, f k is the frictional force. Rearrange above equation to get a . a = − f k m (II) Write the expression for kinetic friction. f k = μ k N Substitute μ k N for f k in equation (I) to get a . a = − μ k N m Substitute m g for N in above equation to get a . a = − μ k m g m = − μ k g Write the expression for initial speed. v f 2 − v i 2 = 2 a Δ x Here, v f is the final velocity, v i is the initial velocity, a is the acceleration of the pizza and Δ x is the displacement along x direction

3rd Edition

ISBN: 9780073512150

Author: Alan Giambattista, Betty Richardson, Robert C. Richardson Dr.

Publisher: McGraw-Hill Education

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Chapter 4, Problem 174P

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The initial speed should Marie give the plate of pizza so that it just stops when it gets to Jaden.

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Chapter 4, Problem 173P

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