Q2. Let's find out how your calculation compares to Newton's Third Law.2. Suppose that the vehicles are in contact for 1 second before bouncmg off of eachother. Calculate:a. the truck's acceleration during the collision.b. the car's acceleration during the collision (using the value you calculated inquestion 1).

Answered: Let's find out how your calculation…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Q2.

Let's find out how your calculation compares to Newton's Third Law.
2. Suppose that the vehicles are in contact for 1 second before bouncmg off of each
other. Calculate:
a. the truck's acceleration during the collision.
b. the car's acceleration during the collision (using the value you calculated in
question 1).

Expert Solution

Step 1

Given:

Mass of truck (M) = 4000 kg.

Mass of car (m) = 2000 kg.

Step 2

Velocity is slow down by 5 m/s. let the initial velocity = V_i

The final velocity will be,

$V_{f} = V_{i} - 5$

Let the initial velocity of car is v_i so the final velocity is exceed by x,

$v_{f} = v_{i} + x$

Step 3

Applying conservation of momentum before and after collision,

$M V_{i} + m v_{i} = M (V_{f}) + m v_{f} M V_{i} + m v_{i} = M (V_{i} - 5) + m (v_{i} + x) 4000 \times V_{i} + 2000 v_{i} = 4000 V_{i} - 4000 \times 5 + 2000 v_{i} + 2000 x 2000 x = 4000 V_{i} + 2000 v_{i} - 4000 V_{i} + 20000 - 2000 v_{i} 2000 x = 20000 x = \frac{20000}{2000} x = 10 m / s .$

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