Analyze Force Interactions Using Data - Physics
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What is the action-reaction rule for forces between two interacting objects?
What is the action-reaction rule for forces between two interacting objects?
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Forces are equal in magnitude and opposite in direction. Newton's third law: every action has an equal and opposite reaction.
Forces are equal in magnitude and opposite in direction. Newton's third law: every action has an equal and opposite reaction.
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Identify the acceleration if $F_{net}=18,\text{N}$ and $m=6,\text{kg}$ in the same direction.
Identify the acceleration if $F_{net}=18,\text{N}$ and $m=6,\text{kg}$ in the same direction.
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$3,\text{m/s}^2$. Using $a=\frac{F_{net}}{m}=\frac{18}{6}=3,\text{m/s}^2$.
$3,\text{m/s}^2$. Using $a=\frac{F_{net}}{m}=\frac{18}{6}=3,\text{m/s}^2$.
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Identify the impulse if a constant net force of $6,\text{N}$ acts for $0.50,\text{s}$.
Identify the impulse if a constant net force of $6,\text{N}$ acts for $0.50,\text{s}$.
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$3.0,\text{N}\cdot\text{s}$. Using $J=F_{net}\Delta t=6\times 0.50=3.0,\text{N}\cdot\text{s}$.
$3.0,\text{N}\cdot\text{s}$. Using $J=F_{net}\Delta t=6\times 0.50=3.0,\text{N}\cdot\text{s}$.
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Identify the net force if a $2.0,\text{kg}$ cart accelerates at $4.0,\text{m/s}^2$.
Identify the net force if a $2.0,\text{kg}$ cart accelerates at $4.0,\text{m/s}^2$.
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$8.0,\text{N}$. Using $F_{net}=ma=2.0\times 4.0=8.0,\text{N}$.
$8.0,\text{N}$. Using $F_{net}=ma=2.0\times 4.0=8.0,\text{N}$.
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Identify the mass if $F_{net}=15,\text{N}$ produces $a=3.0,\text{m/s}^2$.
Identify the mass if $F_{net}=15,\text{N}$ produces $a=3.0,\text{m/s}^2$.
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$5.0,\text{kg}$. Using $m=\frac{F_{net}}{a}=\frac{15}{3.0}=5.0,\text{kg}$.
$5.0,\text{kg}$. Using $m=\frac{F_{net}}{a}=\frac{15}{3.0}=5.0,\text{kg}$.
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Identify the weight of a $3.0,\text{kg}$ object using $g=9.8,\text{m/s}^2$.
Identify the weight of a $3.0,\text{kg}$ object using $g=9.8,\text{m/s}^2$.
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$29.4,\text{N}$. Using $W=mg=3.0\times 9.8=29.4,\text{N}$.
$29.4,\text{N}$. Using $W=mg=3.0\times 9.8=29.4,\text{N}$.
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Identify the spring force magnitude if $k=200,\text{N/m}$ and $x=0.15,\text{m}$.
Identify the spring force magnitude if $k=200,\text{N/m}$ and $x=0.15,\text{m}$.
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$30,\text{N}$. Using $F_s=kx=200\times 0.15=30,\text{N}$.
$30,\text{N}$. Using $F_s=kx=200\times 0.15=30,\text{N}$.
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Identify the normal force on a $10,\text{kg}$ object resting on a level surface (no other vertical forces).
Identify the normal force on a $10,\text{kg}$ object resting on a level surface (no other vertical forces).
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$N=mg=98,\text{N}$. Normal force balances weight when at rest on level surface.
$N=mg=98,\text{N}$. Normal force balances weight when at rest on level surface.
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Identify $f_k$ if $\mu_k=0.20$ and $N=50,\text{N}$.
Identify $f_k$ if $\mu_k=0.20$ and $N=50,\text{N}$.
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$10,\text{N}$. Using $f_k=\mu_k N=0.20\times 50=10,\text{N}$.
$10,\text{N}$. Using $f_k=\mu_k N=0.20\times 50=10,\text{N}$.
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Identify $f_{s,max}$ if $\mu_s=0.40$ and $N=30,\text{N}$.
Identify $f_{s,max}$ if $\mu_s=0.40$ and $N=30,\text{N}$.
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$12,\text{N}$. Using $f_{s,max}=\mu_s N=0.40\times 30=12,\text{N}$.
$12,\text{N}$. Using $f_{s,max}=\mu_s N=0.40\times 30=12,\text{N}$.
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What is the formula relating net force, mass, and acceleration in one dimension?
What is the formula relating net force, mass, and acceleration in one dimension?
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$F_{net}=ma$. Newton's second law relates force to mass times acceleration.
$F_{net}=ma$. Newton's second law relates force to mass times acceleration.
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What is the weight (gravitational force) formula for an object of mass $m$ near Earth?
What is the weight (gravitational force) formula for an object of mass $m$ near Earth?
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$W=mg$. Weight equals mass times gravitational acceleration ($g=9.8,\text{m/s}^2$).
$W=mg$. Weight equals mass times gravitational acceleration ($g=9.8,\text{m/s}^2$).
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What is the magnitude of the friction force for kinetic friction on a level surface?
What is the magnitude of the friction force for kinetic friction on a level surface?
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$f_k=\mu_k N$. Kinetic friction equals coefficient times normal force.
$f_k=\mu_k N$. Kinetic friction equals coefficient times normal force.
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What is the maximum possible static friction force magnitude before slipping begins?
What is the maximum possible static friction force magnitude before slipping begins?
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$f_s\le \mu_s N$. Static friction can vary up to coefficient times normal force.
$f_s\le \mu_s N$. Static friction can vary up to coefficient times normal force.
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What is the spring force magnitude formula (Hooke’s law) for displacement $x$?
What is the spring force magnitude formula (Hooke’s law) for displacement $x$?
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$F_s=kx$. Spring force is proportional to displacement from equilibrium.
$F_s=kx$. Spring force is proportional to displacement from equilibrium.
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What is the impulse-momentum relation for constant net force over time interval $\Delta t$?
What is the impulse-momentum relation for constant net force over time interval $\Delta t$?
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$J=F_{net}\Delta t=\Delta p$. Impulse equals force times time, which equals momentum change.
$J=F_{net}\Delta t=\Delta p$. Impulse equals force times time, which equals momentum change.
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Identify the average net force if momentum changes by $4.0,\text{kg}\cdot\text{m/s}$ in $0.20,\text{s}$.
Identify the average net force if momentum changes by $4.0,\text{kg}\cdot\text{m/s}$ in $0.20,\text{s}$.
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$20,\text{N}$. Using $F_{avg}=\frac{\Delta p}{\Delta t}=\frac{4.0}{0.20}=20,\text{N}$.
$20,\text{N}$. Using $F_{avg}=\frac{\Delta p}{\Delta t}=\frac{4.0}{0.20}=20,\text{N}$.
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What is the momentum formula for an object of mass $m$ moving at speed $v$?
What is the momentum formula for an object of mass $m$ moving at speed $v$?
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$p=mv$. Momentum is the product of mass and velocity.
$p=mv$. Momentum is the product of mass and velocity.
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Identify the net force when forces of $12,\text{N}$ right and $5,\text{N}$ left act on an object.
Identify the net force when forces of $12,\text{N}$ right and $5,\text{N}$ left act on an object.
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$7,\text{N}$ to the right. Net force is the vector sum: $12-5=7,\text{N}$ rightward.
$7,\text{N}$ to the right. Net force is the vector sum: $12-5=7,\text{N}$ rightward.
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What is the formula relating net force, mass, and acceleration (Newton's 2nd law)?
What is the formula relating net force, mass, and acceleration (Newton's 2nd law)?
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$\sum F = ma$. Newton's second law states net force equals mass times acceleration.
$\sum F = ma$. Newton's second law states net force equals mass times acceleration.
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What is the formula for weight near Earth's surface in terms of mass and $g$?
What is the formula for weight near Earth's surface in terms of mass and $g$?
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$W = mg$. Weight is gravitational force, calculated as mass times gravitational acceleration.
$W = mg$. Weight is gravitational force, calculated as mass times gravitational acceleration.
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What is the SI unit of force expressed in base units?
What is the SI unit of force expressed in base units?
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$1\ \text{N} = 1\ \text{kg}\cdot\text{m}\cdot\text{s}^{-2}$. Newton is derived from $F=ma$, giving kilogram-meter per second squared.
$1\ \text{N} = 1\ \text{kg}\cdot\text{m}\cdot\text{s}^{-2}$. Newton is derived from $F=ma$, giving kilogram-meter per second squared.
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What is the formula for static friction magnitude when it is at its maximum value?
What is the formula for static friction magnitude when it is at its maximum value?
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$f_s^{\max} = \mu_s N$. Maximum static friction equals coefficient times normal force.
$f_s^{\max} = \mu_s N$. Maximum static friction equals coefficient times normal force.
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What is the formula for spring force magnitude using Hooke's law?
What is the formula for spring force magnitude using Hooke's law?
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$F_s = kx$. Hooke's law: spring force is proportional to displacement.
$F_s = kx$. Hooke's law: spring force is proportional to displacement.
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What is the formula for kinetic friction magnitude for a sliding object?
What is the formula for kinetic friction magnitude for a sliding object?
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$f_k = \mu_k N$. Kinetic friction equals kinetic coefficient times normal force.
$f_k = \mu_k N$. Kinetic friction equals kinetic coefficient times normal force.
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What deck type best fits analyzing force interactions using data (recall, application, or both)?
What deck type best fits analyzing force interactions using data (recall, application, or both)?
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both. This skill requires memorizing formulas and applying them to solve problems.
both. This skill requires memorizing formulas and applying them to solve problems.
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Identify the mass if $\sum F=12\ \text{N}$ and $a=3\ \text{m}\cdot\text{s}^{-2}$.
Identify the mass if $\sum F=12\ \text{N}$ and $a=3\ \text{m}\cdot\text{s}^{-2}$.
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$4\ \text{kg}$. Rearrange $F=ma$ to get $m=\frac{F}{a}=\frac{12}{3}=4$.
$4\ \text{kg}$. Rearrange $F=ma$ to get $m=\frac{F}{a}=\frac{12}{3}=4$.
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What is the formula for gravitational force between two masses separated by distance $r$?
What is the formula for gravitational force between two masses separated by distance $r$?
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$F_g = G\frac{m_1 m_2}{r^2}$. Newton's law of universal gravitation with inverse square dependence.
$F_g = G\frac{m_1 m_2}{r^2}$. Newton's law of universal gravitation with inverse square dependence.
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What is the formula for centripetal acceleration for uniform circular motion?
What is the formula for centripetal acceleration for uniform circular motion?
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$a_c = \frac{v^2}{r}$. Velocity squared divided by radius gives centripetal acceleration.
$a_c = \frac{v^2}{r}$. Velocity squared divided by radius gives centripetal acceleration.
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What is the formula for centripetal net force in uniform circular motion?
What is the formula for centripetal net force in uniform circular motion?
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$F_c = \frac{mv^2}{r}$. Apply $F=ma$ with centripetal acceleration $a_c=\frac{v^2}{r}$.
$F_c = \frac{mv^2}{r}$. Apply $F=ma$ with centripetal acceleration $a_c=\frac{v^2}{r}$.
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