2.8 Main Ideas
Force acting on an object causes a change in the object's momentum over time. «math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨24px¨»«msub»«mover mathcolor=¨#FFFFFF¨»«mi»F«/mi»«mo»§#8594;«/mo»«/mover»«mrow mathcolor=¨#FFFFFF¨»«mi»n«/mi»«mi»e«/mi»«mi»t«/mi»«/mrow»«/msub»«mo mathcolor=¨#FFFFFF¨»=«/mo»«mfrac mathcolor=¨#FFFFFF¨»«mrow»«mo»§#8710;«/mo»«mover»«mi»p«/mi»«mo»§#8594;«/mo»«/mover»«/mrow»«mrow»«mo»§#8710;«/mo»«mi»t«/mi»«/mrow»«/mfrac»«/mstyle»«/math» |
Impulse: the change in momentum, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathcolor=¨#FFFFFF¨»§#8710;«/mo»«mover mathcolor=¨#FFFFFF¨»«mi»p«/mi»«mo»§#8594;«/mo»«/mover»«/math», and the Force acting on an object
for time, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover mathcolor=¨#FFFFFF¨»«mi»F«/mi»«mo»§#8594;«/mo»«/mover»«mo mathcolor=¨#FFFFFF¨»§#8710;«/mo»«mi mathcolor=¨#FFFFFF¨»t«/mi»«/math» as derived from Newton's 2nd
Law.
«math style=¨font-family:`Times New Roman`¨ xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨24px¨»«mover mathcolor=¨#FFFFFF¨»«mi»F«/mi»«mo»§#8594;«/mo»«/mover»«mo mathcolor=¨#FFFFFF¨»§#8710;«/mo»«mi mathcolor=¨#FFFFFF¨»t«/mi»«mo mathcolor=¨#FFFFFF¨»=«/mo»«mo mathcolor=¨#FFFFFF¨»§#8710;«/mo»«mover mathcolor=¨#FFFFFF¨»«mi»p«/mi»«mo»§#8594;«/mo»«/mover»«/mstyle»«/math» |
When impulse is constant... Increasing the time, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathcolor=¨#FFFFFF¨»§#8710;«/mo»«mi mathcolor=¨#FFFFFF¨»t«/mi»«/math» decreases the force, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover mathcolor=¨#FFFFFF¨»«mi»F«/mi»«mo»§#8594;«/mo»«/mover»«/math». Decreasing the time, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo mathcolor=¨#FFFFFF¨»§#8710;«/mo»«mi mathcolor=¨#FFFFFF¨»t«/mi»«/math» increases the force, «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mover mathcolor=¨#FFFFFF¨»«mi»F«/mi»«mo»§#8594;«/mo»«/mover»«/math» |
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