Question

mass = 1.2kg. calculate weight force, normal force, net force, and draw a force diagram with the type acceleration. show all equations and steps and magnitude of all forces

Explanation:

Step1: Calculate the weight force

The formula for weight force \(F_g\) is \(F_g = mg\), where \(m = 1.2\space kg\) and \(g=9.8\space m/s^{2}\).

$$F_g=1.2\times9.8 = 11.76\space N$$

Step2: Determine the normal force

Since the book is at rest on the table (equilibrium in the vertical direction), the normal force \(F_N\) equals the weight force.

$$F_N = F_g=11.76\space N$$

Step3: Calculate the net force

The net force \(F_{net}\) is given by \(F_{net}=\sum F\). In the vertical direction, \(F_{net}=F_N - F_g\).

$$F_{net}=11.76 - 11.76=0\space N$$

Step4: Analyze acceleration

Using Newton's second law \(F_{net} = ma\). Since \(F_{net} = 0\), then \(a=\frac{F_{net}}{m}\).

$$a=\frac{0}{1.2}=0\space m/s^{2}$$

Force Diagram Description:

• Draw a dot representing the book.
• Draw a downward - pointing arrow labeled \(F_g = 11.76\space N\) (weight force).
• Draw an upward - pointing arrow of the same length labeled \(F_N = 11.76\space N\) (normal force).

Answer:

• Weight force: \(11.76\space N\)
• Normal force: \(11.76\space N\)
• Net force: \(0\space N\)
• Acceleration: \(0\space m/s^{2}\)