### Physics Problem: Calculating Resultant Force and its MagnitudeA **4.00-kg** object undergoes an acceleration given by **\[ \mathbf{a} = (8.00 \mathbf{\hat{i}} + 4.00 \mathbf{\hat{j}}) \, \text{m/s}^2 \]**.#### (a) Finding the Resultant Force Acting on the ObjectUsing Newton's second law, the resultant force **\[ \mathbf{F} \]** can be calculated using:\[ \mathbf{F} = m \mathbf{a} \]Where **\[ m \]** is the mass of the object and **\[ \mathbf{a} \]** is the acceleration.\[ \Sigma \mathbf{F} = ( \_\_\_\_ \, \mathbf{\hat{i}} + \_\_\_\_ \, \mathbf{\hat{j}} ) \, \text{N} \]#### (b) Finding the Magnitude of the Resultant ForceThe magnitude of the resultant force can be obtained using the Pythagorean theorem:\[ |\mathbf{F}| = \sqrt{(\Sigma F_x)^2 + (\Sigma F_y)^2} \]\[ |\mathbf{F}| = \_\_\_\_ \, \text{N} \]### Instructions1. **Resultant Force in Component Form:** Calculate the x-component and y-component of the force using the given mass and acceleration components, then fill in the blanks. 2. **Magnitude of the Resultant Force:** Compute the resultant force's magnitude using the calculated components.### Solution Steps1. Calculate the force components: - \( F_x = m \times a_x \) - \( F_y = m \times a_y \) Here, \( a_x = 8.00 \, \text{m/s}^2 \) and \( a_y = 4.00 \, \text{m/s}^2 \).2. Determine \( F_x \) and \( F_y \): - \( F_x = 4.00 \, \text{kg} \times 8.00 \, \text{m/s}^2 \) - \( F_y = 4.00 \, \text{kg} \times 4.00 \, \text{m/s

Name: ### Physics Problem: Calculating Resultant Force and its MagnitudeA *
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: ### Physics Problem: Calculating Resultant Force and its MagnitudeA **4.00-kg** object undergoes an acceleration given by **\[ \mathbf{a} = (8.00 \mathbf{\hat{i}} + 4.00 \mathbf{\hat{j}}) \, \text{m/s}^2 \]**.#### (a) Finding the Resultant Force Act