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Force is defined as mass times acceleration. Starting with

Chapter 1, Problem 109E

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QUESTION:

Force is defined as mass times acceleration. Starting with SI base units, derive a unit for force. Using SI prefixes, suggest a convenient unit for the force resulting from a collision with a 10-ton trailer truck moving at 55 miles per hour and for the force resulting from the collision of a molecule of mass around 10-20 kg moving almost at the speed of light (3 x 108 m/s) with the wall of its container. (Assume a 1-second deceleration time for both collisions.)

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QUESTION:

Force is defined as mass times acceleration. Starting with SI base units, derive a unit for force. Using SI prefixes, suggest a convenient unit for the force resulting from a collision with a 10-ton trailer truck moving at 55 miles per hour and for the force resulting from the collision of a molecule of mass around 10-20 kg moving almost at the speed of light (3 x 108 m/s) with the wall of its container. (Assume a 1-second deceleration time for both collisions.)

ANSWER:

Step 1 of 5

Force is defined as the product of mass and acceleration.

.......................(1)
Here,

m = Mass

a  = Acceleration

Units of mass - Kg

Acceleration is the rate of change of velocity over time. Velocity is rate of change of distance with time with units of

Units of acceleration -

Substitute these units in formula (1)

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