University:
College
Course:
College Physics
Academic year:

2022
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270

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1
Author:

5CelestialChronicle

Name ___________________________ Chapter 6 Class __________________ Date ____________ Newton’s Second Law of Motion—Force and Acceleration Newton’s Second Law A large mining dump truck has a mass of 40,000 kg. If its engine produces 20,000 N of force, how fast will the truck accelerate? 1. Read and Understand What information are you given? Mass of truck = 40,000 kg Force applied = 20,000 N 2. Plan and Solve What unknown are you trying to calculate? Acceleration of truck = ? What formula contains the given quantities and the unknown? Acceleration = force or a = F mass m Replace each variable with its known value and solve. a= 20, 000 N 20, 000 kg m/s 2 = 0.5 m/s2 40, 000 kg = 40, 000 kg 3. Look Back and Check Is your answer reasonable? Yes, the number calculated is the quotient of force and mass and the units are those of acceleration. Math Practice On a separate sheet of paper, solve the following problems. 1. The truck described above dumps its load and its mass is reduced to 10,000 kg. What is the acceleration of the truck? Assume its engine still produces the same amount of force. 2 20,000 kg m/s a= F = 2 m/s2 m 10,000 kg 2. How much force must the engine of the dump truck described above develop to achieve an acceleration of 3.5 m/s2? F ma 10,000 kg s 3.5 m/s2 35,000 kg · m/s2 = 35,000 N 3. A toy car has a mass of 1500 g. If a 3-N force is applied to the car, what will its acceleration be? 2 3 kg m/s = 2 m/s2 a= F = m 1.5 kg