Physics: Force and Motion questions for the ASP
ASP11 Domain 1: Mathematical Calculations (1.x Physics (force, mass, acceleration)). 3 free questions below. Every answer quotes and links the formula source it rests on.
Question 1Calculation
A 500-kg suspended load swinging at 2 m/s strikes a column and is brought to rest in 0.5 s. Treating mass as constant, what average force acts on the column during the stop?
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Answer: A. 2,000 N
F = m(v1 - v0)/(t1 - t0) = 500 x (0 - 2) / 0.5 = -2,000 N, i.e. 2,000 N in magnitude. m x v alone is momentum (kg·m/s), not force; ½mv² is energy.
Answer A rests on
NASA Glenn Research Center, Beginner's Guide to Aeronautics: Newton's Second Law of Motion(opens ecfr.gov in a new tab)“If the mass is a constant and using the definition of acceleration a as the change in velocity with time, the second law reduces to the more familiar product of a mass and an acceleration: F = m * a Since acceleration is a change in velocity with a change in time t, we can also write this equation in the third form shown on the slide: F = m * (v1 - v0) / (t1 - t0)”
Question 2Calculation
A 1,200-kg suspended load swinging at 5 m/s strikes a column and is brought to rest in 0.8 s. Treating mass as constant, what average force acts on the column during the stop?
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Answer: D. 7,500 N
F = m(v1 - v0)/(t1 - t0) = 1200 x (0 - 5) / 0.8 = -7,500 N, i.e. 7,500 N in magnitude. m x v alone is momentum (kg·m/s), not force; ½mv² is energy.
Answer D rests on
NASA Glenn Research Center, Beginner's Guide to Aeronautics: Newton's Second Law of Motion(opens ecfr.gov in a new tab)“If the mass is a constant and using the definition of acceleration a as the change in velocity with time, the second law reduces to the more familiar product of a mass and an acceleration: F = m * a Since acceleration is a change in velocity with a change in time t, we can also write this equation in the third form shown on the slide: F = m * (v1 - v0) / (t1 - t0)”
Question 3Calculation
A 1,500-kg suspended load swinging at 4 m/s strikes a column and is brought to rest in 0.2 s. Treating mass as constant, what average force acts on the column during the stop?
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Answer: B. 30,000 N
F = m(v1 - v0)/(t1 - t0) = 1500 x (0 - 4) / 0.2 = -30,000 N, i.e. 30,000 N in magnitude. m x v alone is momentum (kg·m/s), not force; ½mv² is energy.
Answer B rests on
NASA Glenn Research Center, Beginner's Guide to Aeronautics: Newton's Second Law of Motion(opens ecfr.gov in a new tab)“If the mass is a constant and using the definition of acceleration a as the change in velocity with time, the second law reduces to the more familiar product of a mass and an acceleration: F = m * a Since acceleration is a change in velocity with a change in time t, we can also write this equation in the third form shown on the slide: F = m * (v1 - v0) / (t1 - t0)”
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