Question

multiple select question
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in which of these situations can you use newtons second law to solve problems?
given an objects mass and the net force acting on it, determine its acceleration.
given an objects acceleration and the net force acting on it, determine its mass.
given an objects velocity and the net force acting on it, determine its mass.
given an objects mass and velocity, determine the net force acting on it.
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Explanation:

Step1: Recall Newton's second law formula

Newton's second law is \(F = ma\), where \(F\) is the net force, \(m\) is the mass, and \(a\) is the acceleration.

Step2: Analyze each option

• Option 1: Given an object's acceleration and the net force acting on it, determine its mass

From \(F = ma\), we can solve for \(m=\frac{F}{a}\). So this is valid.

• Option 2: Given an object's mass and the net force acting on it, determine its acceleration

From \(F = ma\), we can solve for \(a=\frac{F}{m}\). So this is valid.

• Option 3: Given an object's mass and velocity, determine the net force acting on it

Newton's second law \(F = ma\) involves acceleration, not velocity. Velocity alone (without information about how it is changing, i.e., acceleration) cannot be used with mass to find force using \(F = ma\). So this is invalid.

• Option 4: Given an object's velocity and the net force acting on it, determine its mass

Since \(F = ma\) and there is no direct relation between \(F\), \(m\) and velocity (without acceleration information), this is invalid.

Answer:

Given an object's acceleration and the net force acting on it, determine its mass; Given an object's mass and the net force acting on it, determine its acceleration.