Question

Two students push two different boxes across a frictionless floor. Both students exert a horizontal force of 50 $\mathrm{N}$ . If the first box has mass $m_{1}=$ 10 $\mathrm{kg}$ and the second box has mass $m_{2}=40 \mathrm{kg}$ , what is the value of $a_{1} / a_{2} ?$ (A) 1$/ 4$ (B) 1$/ 2$ (C) 2 (D) 4

Name: Problem 13, Chapter :
Uploaded: 2019-08-28T20:22:49-08:00
Duration: 1 min 9 s
Channel: Salamat Ali
Description: Two students push two different boxes across a frictionless floor. Both students exert a horizontal force of 50 N . If the first box has mass m1= 10 kg and the second box has mass m2=40 kg , what is the value of a1 / a2 ? (A) 1/ 4 (B) 1/ 2 (C) 2 (D) 4

   Two students push two different boxes across a frictionless floor. Both students exert a horizontal force of 50 $\mathrm{N}$ . If the first box has mass $m_{1}=$
10 $\mathrm{kg}$ and the second box has mass $m_{2}=40 \mathrm{kg}$ , what is the value of
$a_{1} / a_{2} ?$
(A) 1$/ 4$
(B) 1$/ 2$
(C) 2
(D) 4

Instant Answer

Solved by Expert Salamat Ali

08/28/2019

Step 1

This is given by Newton's second law of motion, which can be written as: \[ F = ma \] where $ F $ is the force, $ m $ is the mass, and $ a $ is the acceleration. Show more…

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Two students push two different boxes across a frictionless floor. Both students exert a horizontal force of 50 $\mathrm{N}$ . If the first box has mass $m_{1}=$ 10 $\mathrm{kg}$ and the second box has mass $m_{2}=40 \mathrm{kg}$ , what is the value of $a_{1} / a_{2} ?$ (A) 1$/ 4$ (B) 1$/ 2$ (C) 2 (D) 4

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Key Concepts

Mass

Mass is a measure of the amount of matter in an object and its resistance to acceleration. According to Newton's second law, a larger mass will experience a smaller acceleration than a smaller mass when the same force is applied, highlighting the concept of inertia.

Acceleration

Acceleration is the rate at which an object changes its velocity as a result of applied forces. In problems involving equal forces on different masses, acceleration emphasizes the inverse relationship with mass, making it clear why lighter objects accelerate more than heavier ones under identical conditions.

Newton's Second Law

Newton's second law states that the acceleration of an object is directly proportional to the force applied to it and inversely proportional to its mass (F = ma). This principle is central to dynamics and explains how varying masses respond differently to the same force.

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