a car crashed into a tree. the crumple zone at the front of the car is crushed. todays crumple zones still…

a car crashed into a tree. the crumple zone at the front of the car is crushed. todays crumple zones still work on the same principle as barényis 1959 design, but they have been extensively tested and improved. manufacturers are constantly searching for more affordable materials that are strong enough to support normal driving, yet weak enough to crumple in a crash. additionally, cars are now built with special beams in the roof and floor that help spread out the force from a crash. tests have shown that these beams can fill the same need as crumple zones without taking up as much space. two identical cars are traveling at 60 miles per hour. car a decelerates (or slows down) over 2 seconds and stops. car b decelerates over 4 seconds and stops. complete the sentence to compare the deceleration and overall force on the two cars. the deceleration of car b is the deceleration of car a, and the overall force on car b is the force on car a.

a car crashed into a tree. the crumple zone at the front of the car is crushed. todays crumple zones still work on the same principle as barényis 1959 design, but they have been extensively tested and improved. manufacturers are constantly searching for more affordable materials that are strong enough to support normal driving, yet weak enough to crumple in a crash. additionally, cars are now built with special beams in the roof and floor that help spread out the force from a crash. tests have shown that these beams can fill the same need as crumple zones without taking up as much space. two identical cars are traveling at 60 miles per hour. car a decelerates (or slows down) over 2 seconds and stops. car b decelerates over 4 seconds and stops. complete the sentence to compare the deceleration and overall force on the two cars. the deceleration of car b is the deceleration of car a, and the overall force on car b is the force on car a.

Answer

Explanation:

Step1: Calculate deceleration formula

Deceleration $a=\frac{v - u}{t}$, where $v = 0$ (final - velocity, stops), $u$ is the initial velocity (same for both cars), and $t$ is the time of deceleration.

Step2: Calculate deceleration of Car A

Let the initial velocity of both cars be $u$. For Car A, $t_A = 2s$, $a_A=\frac{0 - u}{2}=-\frac{u}{2}$.

Step3: Calculate deceleration of Car B

For Car B, $t_B = 4s$, $a_B=\frac{0 - u}{4}=-\frac{u}{4}$.

Step4: Compare decelerations

Since $\left|a_B\right|=\frac{\left|u\right|}{4}$ and $\left|a_A\right|=\frac{\left|u\right|}{2}$, $\left|a_B\right|=\frac{1}{2}\left|a_A\right|$, so the deceleration of Car B is half of the deceleration of Car A.

Step5: Use Newton's second - law $F = ma$

Since the cars are identical, $m$ is the same for both. $F_A=ma_A$ and $F_B = ma_B$. Because $a_B=\frac{1}{2}a_A$, $F_B=\frac{1}{2}F_A$. So the overall force on Car B is half of the force on Car A.

Answer:

The deceleration of Car B is half of the deceleration of Car A, and the overall force on Car B is half of the force on Car A.