1. A box is lifted off the ground using a net force of 8.1times 10^2N[up]. The box has an average acceleration of 3.1m/s^2 [up]. a. Calculate the mass of the box. (3) b. Calculate the weight of the box.(2)

**1.a. Calculating the Mass of the Box**<br /><br />* **Known:**<br /> * Net Force (F_net) = 8.1 x 10² N [up]<br /> * Acceleration (a) = 3.1 m/s² [up]<br /><br />* **Formula:** Newton's Second Law of Motion states that F_net = ma, where m is the mass.<br /><br />* **Calculation:**<br /> * Rearrange the formula to solve for mass: m = F_net / a<br /> * Substitute the known values: m = (8.1 x 10² N) / (3.1 m/s²)<br /> * Calculate: m ≈ 261.29 kg<br /><br />* **Answer:** The mass of the box is approximately 260 kg. (Rounded to two significant figures as per the given data's precision.)<br /><br /><br />**1.b. Calculating the Weight of the Box**<br /><br />* **Known:**<br /> * Mass (m) = 261.29 kg (We'll use the unrounded value for greater accuracy in this step, then round the final answer)<br /> * Acceleration due to gravity (g) = 9.81 m/s² (Standard value on Earth)<br /><br />* **Formula:** Weight (W) is the force of gravity acting on an object and is calculated as W = mg.<br /><br />* **Calculation:**<br /> * Substitute the known values: W = (261.29 kg) * (9.81 m/s²)<br /> * Calculate: W ≈ 2563.26 N<br /><br />* **Answer:** The weight of the box is approximately 2.6 x 10³ N. (Rounded to two significant figures)<br />