### Understanding Impulse and MomentumImpulse and momentum are fundamental concepts in physics that describe the motion of objects. Here's a breakdown of the key principles and equations involved:#### Key Equations:1. **Momentum (p)** \[ p = mv \] * \( p \) = momentum * \( m \) = mass (in kilograms) * \( v \) = velocity (in meters per second)2. **Impulse (J)** \[ J = Ft \] * \( J \) = impulse * \( F \) = force applied (in Newtons) * \( t \) = time over which the force is applied (in seconds)3. **Impulse-Momentum Theorem** \[ Ft = m \Delta v \] * \( F \) = force * \( t \) = time * \( m \) = mass * \( \Delta v \) = change in velocity#### Problem StatementWhat impulse is needed to stop a 1700 kg car in 15 seconds if it was originally moving at 25 m/s?To solve this problem, we need to find the impulse (\( J \)) required to bring the car to a stop. We are given:- Mass of the car (\( m \)) = 1700 kg- Initial velocity (\( v \)) = 25 m/s- Final velocity (\( v_f \)) = 0 m/s (since the car stops)- Time (\( t \)) = 15 secondsUsing the Impulse-Momentum Theorem (\( Ft = m \Delta v \)), we can calculate the impulse.First, determine the change in velocity (\( \Delta v \)):\[\Delta v = v_f - v = 0 - 25 = -25 \, \text{m/s}\]Then, calculate the impulse:\[J = m \Delta v\]\[J = 1700 \times (-25)\]\[J = -42500 \, \text{Ns}\]The negative sign indicates that the impulse is in the direction opposite to the car's initial motion in order to bring it to a stop. Thus, the magnitude of the impulse needed is **42500 Ns**.This example illustrates how to apply the

Given Mass (m) = 1700 kg velocity (vi) = 25 m/s Time (∆t)= 15 s When car stops vf = 0…

Answered: p = mv J = Ft Ft = m Av What impulse is…

p = mv J = Ft Ft = m Av What impulse is needed to stop a 1700 kg car in 15 seconds if it was originally moving at 25 m/s?

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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