The net force \( F \) acting on an object that moves along a straight line is given as a function of time \( t \) by \( F(t) = \kappa t + \tau \), where \( \kappa = 1 \, \text{N/s}^2 \) and \( \tau = 1 \, \text{N} \). What is the change in momentum of the object from \( t = 0 \) to \( t = 3 \, \text{s} \)?Options:- A) \( 6 \, \text{kg} \cdot \text{m/s} \)- B) \( 10 \, \text{kg} \cdot \text{m/s} \)- C) \( 12 \, \text{kg} \cdot \text{m/s} \)- D) \( 30 \, \text{kg} \cdot \text{m/s} \)- E) It cannot be determined without knowing the initial momentum of the object.

Name: The net force \( F \) acting on an object that moves along a straight
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Description: The net force \( F \) acting on an object that moves along a straight line is given as a function of time \( t \) by \( F(t) = \kappa t + \tau \), where \( \kappa = 1 \, \text{N/s}^2 \) and \( \tau = 1 \, \text{N} \). What is the change in momentum

We can apply the following the formula ∆P = ∫t1t2F .dt Putting the Force equation in the above formula with the value of variables defined as per the question. ∆P = ∫t1t2F .dt =∫03(t2+1).dt ∆P =∫03(t2+1).dt= t33 + t putting limits ∆P = 333+3 - 033-0 = 12 Kgm/s Answer option C

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The net force Facting on an objeet that moves along a straight line is given as a function of time t by F(t) = xt +r. where IN/s andr=1N. What is the change in momentum of the object from t=0s tot 3s 6 kg-ms B 10 kg s c 12 kg/s 30 kg-ms tcannot be determined without knowing the initial momentum of the object

The net force Facting on an objeet that moves along a straight line is given as a function of time t by F(t) = xt +r. where IN/s andr=1N. What is the change in momentum of the object from t=0s tot 3s 6 kg-ms B 10 kg s c 12 kg/s 30 kg-ms tcannot be determined without knowing the initial momentum of the object

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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