The motor, M, pulls on the cable with a force F = (10t² + 300) N, where t is in seconds. Neglect the mass of the cable and pulleys. (Figure 1) Part A If the 100 kg crate is originally at rest at t = 0, determine its speed when t = 3.9 s. Hint: First find the time needed to begin lifting the crate. Express your answer to three significant figures and include the appropriate units. ? Value Units Submit Request Answer Provide Feedback Figure 1 of 1 M

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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### Problem Statement

**The motor, \( M \), pulls on the cable with a force \( F = (10t^2 + 300) \) N, where \( t \) is in seconds. Neglect the mass of the cable and pulleys.**

(Figure 1 is provided)

### Figure Description
The figure depicts a mechanical setup involving a motor, \( M \), connected to a pulley system that lifts a crate. The cable from the motor wraps around the pulley and attaches to the crate at the bottom. The pulleys change the direction of the force exerted by the motor, enabling the vertical lifting of the crate.

### Task

#### Part A
If the 100 kg crate is originally at rest at \( t = 0 \), determine its speed when \( t = 3.9 \) s. 

*Hint:* First, find the time needed to begin lifting the crate.

**Express your answer to three significant figures and include the appropriate units.**

\[ v = \_{\mathrm{Value}} \_{\mathrm{Units}} \]

**Input your answer and submit:**

Submit | Request Answer
Transcribed Image Text:### Problem Statement **The motor, \( M \), pulls on the cable with a force \( F = (10t^2 + 300) \) N, where \( t \) is in seconds. Neglect the mass of the cable and pulleys.** (Figure 1 is provided) ### Figure Description The figure depicts a mechanical setup involving a motor, \( M \), connected to a pulley system that lifts a crate. The cable from the motor wraps around the pulley and attaches to the crate at the bottom. The pulleys change the direction of the force exerted by the motor, enabling the vertical lifting of the crate. ### Task #### Part A If the 100 kg crate is originally at rest at \( t = 0 \), determine its speed when \( t = 3.9 \) s. *Hint:* First, find the time needed to begin lifting the crate. **Express your answer to three significant figures and include the appropriate units.** \[ v = \_{\mathrm{Value}} \_{\mathrm{Units}} \] **Input your answer and submit:** Submit | Request Answer
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