Question

when a constant force is applied to an object, the acceleration of the object varies inversely with its mass. when a force acts upon an object with mass 2 kg, the acceleration of the object is 34 m/s². when the same force acts upon another object, its acceleration is 4 m/s². what is the mass of this object?

Explanation:

Step1: Use Newton's second - law formula

We know that $F = ma$. First, find the force when $m = 2$ kg and $a=34$ m/s². So $F=2\times34 = 68$ N.

Step2: Solve for the new mass

Since the force is constant and now $a = 4$ m/s² and $F = 68$ N. Using $F=ma$ again, we can solve for $m$. Rearranging the formula gives $m=\frac{F}{a}$. Substituting $F = 68$ N and $a = 4$ m/s², we get $m=\frac{68}{4}=17$ kg.

Answer:

17