College Physics
College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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Newton's Second Law
Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows:
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Need part G, H, and I

At the instant the displacement of a 2.00 kg object relative to the origin is \( \vec{d} = (2.00 \, \text{m}) \, \hat{\imath} + (4.00 \, \text{m}) \, \hat{\jmath} - (3.00 \, \text{m}) \, \hat{k} \), its velocity is \( \vec{v} = -(8.82 \, \text{m/s}) \, \hat{\imath} + (5.79 \, \text{m/s}) \, \hat{\jmath} + (4.16 \, \text{m/s}) \, \hat{k} \) and it is subject to a force \( \vec{F} = (6.23 \, \text{N}) \, \hat{\imath} - (6.09 \, \text{N}) \, \hat{\jmath} + (4.94 \, \text{N}) \, \hat{k} \). Find the acceleration of the object ((a), (b) and (c) for \( \hat{\imath} \), \( \hat{\jmath} \) and \( \hat{k} \) components respectively), the angular momentum of the object about the origin ((d), (e) and (f) for \( \hat{\imath} \), \( \hat{\jmath} \) and \( \hat{k} \) components respectively), the torque about the origin acting on the object ((g), (h) and (i) for \( \hat{\imath} \), \( \hat{\jmath} \) and \( \hat{k} \) components respectively), and (j) the angle between the velocity of the object and the force acting on the object. (a) Number: 3.12 Units: m/s\(^2\) (b) Number: -3.05 Units: m/s\(^2\) (c) Number: 2.47 Units: m/s\(^2\) (d) Number: 68.02 Units: kg⋅m\(^2\)/s (e) Number: 36.28 Units: kg⋅m\(^2\)/s (f) Number: 93.72 Units: kg⋅m
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Transcribed Image Text:At the instant the displacement of a 2.00 kg object relative to the origin is \( \vec{d} = (2.00 \, \text{m}) \, \hat{\imath} + (4.00 \, \text{m}) \, \hat{\jmath} - (3.00 \, \text{m}) \, \hat{k} \), its velocity is \( \vec{v} = -(8.82 \, \text{m/s}) \, \hat{\imath} + (5.79 \, \text{m/s}) \, \hat{\jmath} + (4.16 \, \text{m/s}) \, \hat{k} \) and it is subject to a force \( \vec{F} = (6.23 \, \text{N}) \, \hat{\imath} - (6.09 \, \text{N}) \, \hat{\jmath} + (4.94 \, \text{N}) \, \hat{k} \). Find the acceleration of the object ((a), (b) and (c) for \( \hat{\imath} \), \( \hat{\jmath} \) and \( \hat{k} \) components respectively), the angular momentum of the object about the origin ((d), (e) and (f) for \( \hat{\imath} \), \( \hat{\jmath} \) and \( \hat{k} \) components respectively), the torque about the origin acting on the object ((g), (h) and (i) for \( \hat{\imath} \), \( \hat{\jmath} \) and \( \hat{k} \) components respectively), and (j) the angle between the velocity of the object and the force acting on the object. (a) Number: 3.12 Units: m/s\(^2\) (b) Number: -3.05 Units: m/s\(^2\) (c) Number: 2.47 Units: m/s\(^2\) (d) Number: 68.02 Units: kg⋅m\(^2\)/s (e) Number: 36.28 Units: kg⋅m\(^2\)/s (f) Number: 93.72 Units: kg⋅m
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