The car C and its contents have a weight of 500 lb, whereas block. B has a weight of 240 lb. The car is released from rest. (Eigure 1) Determine the car's speed when it travels 30 ft down the 20° incline. Suggestion: To measure the gravitational potential energy, establish separate datums at the initial elevations of B and C. Express your answer to three significant figures and include the appropriate units. V2 = μÅ Value Units ?

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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Problem Description:**

The car \( C \) and its contents have a weight of 500 lb, whereas block \( B \) has a weight of 240 lb. The car is released from rest. 
(Figure 1)

**Task:**

**Part A**

Determine the car's speed when it travels 30 ft down the \( 20^\circ \) incline. 

*Suggestion:* To measure the gravitational potential energy, establish separate datums at the initial elevations of \( B \) and \( C \).

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

\[
v = \text{Value} \quad \text{Units}
\]

**Diagram Explanation:**

The diagram shows a car \( C \) on an incline connected to a block \( B \) via a pulley system. The incline is \( 20^\circ \) and the distance traveled by the car down the incline is labeled as 30 ft. The block \( B \) hangs vertically, showing a gravitational influence on the system. A reference for setting the initial potential energy datum is suggested at the starting elevation of both the block \( B \) and the car \( C \).

**Instructions:**

Use principles of energy conservation or dynamics to find the velocity \( v \) of the car.
Transcribed Image Text:**Problem Description:** The car \( C \) and its contents have a weight of 500 lb, whereas block \( B \) has a weight of 240 lb. The car is released from rest. (Figure 1) **Task:** **Part A** Determine the car's speed when it travels 30 ft down the \( 20^\circ \) incline. *Suggestion:* To measure the gravitational potential energy, establish separate datums at the initial elevations of \( B \) and \( C \). Express your answer to three significant figures and include the appropriate units. \[ v = \text{Value} \quad \text{Units} \] **Diagram Explanation:** The diagram shows a car \( C \) on an incline connected to a block \( B \) via a pulley system. The incline is \( 20^\circ \) and the distance traveled by the car down the incline is labeled as 30 ft. The block \( B \) hangs vertically, showing a gravitational influence on the system. A reference for setting the initial potential energy datum is suggested at the starting elevation of both the block \( B \) and the car \( C \). **Instructions:** Use principles of energy conservation or dynamics to find the velocity \( v \) of the car.
Expert Solution
Step 1: Determine the given data:

straight m subscript straight C equals 500 space lb
straight m subscript straight B equals 240 space lb
straight d equals 30 space ft
straight theta equals 20 degree

We can assume that the plane is frinctionless.

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