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Ch 07: Newton's Third Law
Chapter 7, Problem 7

Blocks with masses of 1 kg, 2 kg, and 3 kg are lined up in a row on a frictionless table. All three are pushed forward by a 12 N force applied to the 1 kg block. (b) How much force does the 2 kg block exert on the 1 kg block?

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Newton's Second Law of Motion

Newton's Second Law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This relationship is expressed by the formula F = ma, where F is the net force, m is the mass, and a is the acceleration. In this scenario, understanding how the applied force affects the acceleration of the blocks is crucial for determining the forces between them.
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Intro to Forces & Newton's Second Law

Force Interaction Between Blocks

When multiple objects are in contact and a force is applied, they exert forces on each other according to Newton's Third Law, which states that for every action, there is an equal and opposite reaction. In this case, the 2 kg block will exert a force on the 1 kg block as a result of the acceleration caused by the applied force. Analyzing these interactions helps in calculating the force exerted by one block on another.
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Stacked Blocks

System of Masses

In this problem, the three blocks can be considered as a single system when a force is applied. The total mass of the system (1 kg + 2 kg + 3 kg = 6 kg) will determine the overall acceleration when the 12 N force is applied. Understanding the system as a whole allows us to find the acceleration and subsequently the forces acting on each individual block, which is essential for solving the question.
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Related Practice
Textbook Question
A large box of mass M is moving on a horizontal surface at speed v₀. A small box of mass m sits on top of the large box. The coefficients of static and kinetic friction between the two boxes are μₛ and μₖ, respectively. Find an expression for the shortest distance dₘᵢₙ in which the large box can stop without the small box slipping.
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Textbook Question
(b) How much force does the astronaut exert on his chair while accelerating straight up at 10 m/s^2?
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Textbook Question
A 1000 kg car is pushing an out-of-gear 2000 kg truck that has a dead battery. When the driver steps on the accelerator, the drive wheels of the car push horizontally against the ground with a force of 4500 N. Rolling friction can be neglected. (a) What is the magnitude of the force of the car on the truck?
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Textbook Question
The foot of a 55 kg sprinter is on the ground for 0.25 s while her body accelerates from rest to 2.0 m/s. (b) What is the magnitude of the friction force?
612
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Textbook Question
A 75 kg archer on ice skates is standing at rest on very smooth ice. He shoots a 450 g arrow horizontally. When released, the arrow reaches a speed of 110 m/s in 0.25 s. Assume that the force of the bow string on the arrow is constant. b. What is the archer's recoil speed?
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Textbook Question
A 2.0-m-long, 500 g rope pulls a 10 kg block of ice across a horizontal, frictionless surface. The block accelerates at 2.0 m/s^2. How much force pulls forward on (b) the rope? Assume that the rope is perfectly horizontal.
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