Which of the following statements is correct?

Question

BlackTom AI · Accepted Answer

To begin, let's break down what each statement claims about force, momentum, and impulse.
Option 1: 'Force equals the change of momentum.' This is imprecise because the exact relation is that force equals the rate of change of momentum, not the finite change itself. The change in momentum over a time interval equals impulse; if you consider a finite interval, the average force equals the change in momentum divided by the time interval, but the instantaneous force is tied to the rate of change, not simply the total change.
Option 2: 'Momentum is a scalar quantity.' In fact, momentum is a vector quantity: it has both magnitude and direction equal to mass times velocity. Treating momentum as scalar ignores direction, which leads to incorrect conclusions in dynamics problems, especially when directions matter.
Option 3: 'Force equals rate of change of momentum.' This aligns with the fundamental form of Newton's second law in its differential version: F = dp/dt, where p is momentum. It accurately describes how force is connected to how quickly momentum changes with time.
Option 4: 'Impulse of a force is the differentiation of the force with respect to time.' This statement confuses impulse with the time derivative of force. Impulse is defined as the integral of force over time, J = ∫F dt, and it equals the change in momentum, not the derivative of force itself.
In summary, the first option misstates the relationship between force and momentum over time, the second mischaracterizes momentum, the third correctly states the fundamental relation, and the fourth confuses impulse with the time derivative of force. The nuanced distinctions between instantaneous rate of change, finite change over an interval, and impulse are crucial for accurate physics reasoning.

INU1127 (24/25) Momentum and Impulse - Quiz 2

Which of the following statements is correct?

查看解析

登录即可查看完整答案

类似问题

Two forces A and B act on a 19.7kg particle. The larger force in magnitude is A. When both forces point due east the magnitude of the acceleration of the mass is 0.585m/s2. When A points due east and B points due west the mass accelerates at 0.477m/s2 due east. What is the magnitude of force A?

An object of mass M is accelerating because there is a force acting on it. What happens to the acceleration if I double the force?

What is the meaning of Σ in the equation ΣF = ma

What is Newton's second law?

Force and acceleration are [ Select ] inversely directly almost not proportional

To stop a 960-kg car traveling at 25 m/s in a time of 15 s requires an average force of magnitude

Three blocks are being pushed by a force Fa , along a frictionless surface as shown in the diagram below.The acceleration experienced by the blocks is 2.8 m/s2 The masses of blocks A, B and C, are 5.8 kg, 7.8 kg and 2.7 kg respectively.What is the magnitude of the force of Block C on Block B?

更多留学生实用工具

考试浏览器助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单