Find an expression for in terms of and h l θ. What is the value of if = 6 m and = 40°? h l θ Part 5: Algebra Solve the following (almost all of these are extremely easy it is for you to work Units on the important independently). – numbers are included because they are essential to the concepts, however they do not have any on the actual numbers you effect are putting into the equations. In other words, the units do not change how you do the algebra. Show every step for every problem, including writing the original equation, all algebraic manipulations, and substitution! You should practice doing all algebra substituting numbers in for variables. before Section I: For problems 1-5, use the three equations below: vf = vO + at x = xo+vot+1/2at2 vf 2 = vo2 + 2a(xf - xo) Using equation (1) solve for given that 5 m/s, 25 m/s, and = 10 m/s2. t v0 = vf = a = 0 m/s, 0 m and = 10 s, use the second and third equations together to find v0 x0 = t xf . = 10 m/s2, = 0 m, 120 m, and = 20 m/s. Use the second equation to find a x0 xf = v0 t. and 2 m/s2. Use the first equation to find 2. vf = - v0 a = t / How does each equation simplify when 0 m/s2 and = 0 m? a = x0 Section II: For problems, 6 9, use the four equations below. – = ma fk = µk ΣF N fs µs N ≤ Fs = −kx If = 10 N and = 1 m/s2, find the first equation? ΣF a m
Find an expression for h in terms of l and θ. What is the value of h if l = 6 m and θ = 40°? Part 5: Algebra Solve the following (almost all of these are extremely easy – it is important for you to work independently). Units on the numbers are included because they are essential to the concepts, however they do not have any effect on the actual numbers you are putting into the equations. In other words, the units do not change how you do the algebra. Show every step for every problem, including writing the original equation, all algebraic manipulations, and substitution! You should practice doing all algebra before substituting numbers in for variables. Section I: For problems 1-5, use the three equations below: vf = vO + at x = xo+vot+1/2at2 vf 2 = vo2 + 2a(xf - xo) Using equation (1) solve for t given that v0 = 5 m/s, vf = 25 m/s, and a = 10 m/s2. v0 = 0 m/s, x0 = 0 m and t = 10 s, use the second and third equations together to find xf . a = 10 m/s2, x0 = 0 m, xf = 120 m, and v0 = 20 m/s. Use the second equation to find t. vf = - v0 and a = 2 m/s2. Use the first equation to find t / 2. How does each equation simplify when a = 0 m/s2 and x0 = 0 m? Section II: For problems, 6 – 9, use the four equations below. ΣF = ma fk = µk N fs ≤ µs N Fs = −kx If ΣF = 10 N and a = 1 m/s2, find m the first equation?
AP_Physics_I_2015_SummerAssignment_Version_1_key.docx