Question

1. given newtons second law, and given that a = -9.8 m/s², what is the weight of an object with a mass of 10 kilograms? 98 milligrams 98 pounds 98 newtons 98 kilograms clear all

Explanation:

Step1: Recall Newton's second law

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

Step2: Substitute the given values

Given \(m = 10\space kg\) and \(a=- 9.8\space m/s^{2}\). The magnitude of the weight \(W=\vert F\vert=\vert ma\vert\). Substitute \(m = 10\) and \(a = 9.8\) (taking magnitude as weight is a force magnitude here) into the formula: \(W=(10)(9.8)\).

Step3: Calculate the result

\(W = 98\space N\) (Newton is the unit of force. Since weight is a force, and \(1\space N=1\space kg\cdot m/s^{2}\))

Answer:

98 Newtons