Question

In a sudden stop, a car's seatbelt provides the force that stops the passenger. For a $90-\mathrm{kg}$ passenger, what's the seatbelt force if a car goes from highway speed of $100 \mathrm{~km} / \mathrm{h}$ to rest in $6.8 \mathrm{~s}$ ?

Name: Problem 64, Chapter 4: Essential College Physics
Uploaded: 2021-06-04T09:40:32-08:00
Duration: 2 min 36 s
Channel: Sanu Kumar
Description: In a sudden stop, a car's seatbelt provides the force that stops the passenger. For a 90-kg passenger, what's the seatbelt force if a car goes from highway speed of 100 km / h to rest in 6.8 s ?

   In a sudden stop, a car's seatbelt provides the force that stops the passenger. For a $90-\mathrm{kg}$ passenger, what's the seatbelt force if a car goes from highway speed of $100 \mathrm{~km} / \mathrm{h}$ to rest in $6.8 \mathrm{~s}$ ?

Essential College Physics

Andrew F. Rex,… 1st Edition

Chapter 4, Problem 64

Instant Answer

Solved by Expert Sanu Kumar

06/04/2021

Step 1

We do this by multiplying the speed by 1000 (to convert kilometers to meters) and dividing by 3600 (to convert hours to seconds). This gives us: \[ u = 100 \times \frac{1000}{3600} = \frac{250}{9} \, \text{m/s} \] Show more…

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In a sudden stop, a car's seatbelt provides the force that stops the passenger. For a $90-\mathrm{kg}$ passenger, what's the seatbelt force if a car goes from highway speed of $100 \mathrm{~km} / \mathrm{h}$ to rest in $6.8 \mathrm{~s}$ ?

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Key Concepts

Unit Conversion

Unit conversion is essential in physics to ensure that all measurements are expressed in compatible units, which is critical for accurate calculations. For instance, converting speed from kilometers per hour to meters per second ensures consistency with SI units when determining quantities like acceleration and force.

Acceleration

Acceleration is the rate of change of velocity with respect to time. It quantifies how quickly an object speeds up or slows down. When calculating forces during deceleration, the acceleration is determined by dividing the change in velocity by the time over which the change occurs.

Newton's Second Law

Newton's second law of motion states that the net force acting on an object is equal to the product of its mass and acceleration (F = ma). This law is fundamental for understanding how forces affect the motion of objects, making it crucial for analyzing situations where an object speeds up or slows down.

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