Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

calculate the force on an object that has a mass of 2 kg and an acceler…

Question

calculate the force on an object that has a mass of 2 kg and an acceleration of 4 m/s2
25 n
40 n
0.4 n
8 n
what would be the mass of a rock falling from the sky if it hits the ground with a force of 98 n?
5 kg
20 kg
5 n
10 kg

Explanation:

Step1: Apply Newton's second law

Newton's second law is \(F = ma\). For the first problem, \(m = 2\space kg\) and \(a=4\space m/s^{2}\). Substitute into the formula: \(F=2\times4\).

Step2: Calculate the force

\(F = 2\times4=8\space N\).

For the second problem (assuming acceleration \(a = g= 9.8\space m/s^{2}\approx10\space m/s^{2}\) due to gravity). Using \(F = ma\), then \(m=\frac{F}{a}\). Given \(F = 50\space N\) and \(a = 10\space m/s^{2}\), \(m=\frac{50}{10}\).

Step3: Calculate the mass

\(m=\frac{50}{10}=5\space kg\)

Answer:

For the first question: \(8\space N\). For the second question: \(5\space kg\)