Q23. As shown in the image below, the force acting on the 2-kg crate is a function of time. The coefficient of kinetic friction between the crate and the surface is Mk= 0.16. Determine the crate's speed at t = 1.9 s if its initial speed v₁ = 1.3 m/s. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Take g = 9.81 m/s². F = (201² +30) N (t in second) V1 F. 30° Your Answer: Answer units

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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**Question 23**

As shown in the image below, the force acting on the 2-kg crate is a function of time. The coefficient of kinetic friction between the crate and the surface is μₖ = 0.16. Determine the crate's speed at \( t = 1.9 \) seconds if its initial speed \( v_1 = 1.3 \) m/s. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Take \( g = 9.81 \) m/s².

**Equation:**

\[ F = (20t^2 + 30) \, N \quad \text{(t in seconds)} \]

**Diagram Explanation:**

The image depicts a force \( F \) acting at an angle of 30° on a crate resting on a surface. A horizontal arrow, labeled \( v_1 \), indicates the initial speed direction of the crate.

**Answer Section:**
- Your Answer: [Box for numerical entry]
- Units: [Box for unit entry]
Transcribed Image Text:**Question 23** As shown in the image below, the force acting on the 2-kg crate is a function of time. The coefficient of kinetic friction between the crate and the surface is μₖ = 0.16. Determine the crate's speed at \( t = 1.9 \) seconds if its initial speed \( v_1 = 1.3 \) m/s. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Take \( g = 9.81 \) m/s². **Equation:** \[ F = (20t^2 + 30) \, N \quad \text{(t in seconds)} \] **Diagram Explanation:** The image depicts a force \( F \) acting at an angle of 30° on a crate resting on a surface. A horizontal arrow, labeled \( v_1 \), indicates the initial speed direction of the crate. **Answer Section:** - Your Answer: [Box for numerical entry] - Units: [Box for unit entry]
Expert Solution
Step 1

Given data 

Mass of crate = 2 kg

Initial speed= 1.3 m/s

Kinetic coefficient of friction = 0.16 

Find the final speed at t = 1.9 sec

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