A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential- energy function U(z,y) = (5.80 J/m² )z². (3.70 J/m³ )y³. What is the magnitude of the acceleration of the block when it is at the point z=0.31 m, y=0.61 m ? Express your answer with the appropriate units. 4 → ? a= Value Units Submit Request Answer Part B What is the direction of the acceleration of the block when it is at the point z=0.31 m, y=0.61 m ? ΕΞΑΣΦ 4 → ? 0= counterclockwise from the +z-axis
A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential- energy function U(z,y) = (5.80 J/m² )z². (3.70 J/m³ )y³. What is the magnitude of the acceleration of the block when it is at the point z=0.31 m, y=0.61 m ? Express your answer with the appropriate units. 4 → ? a= Value Units Submit Request Answer Part B What is the direction of the acceleration of the block when it is at the point z=0.31 m, y=0.61 m ? ΕΞΑΣΦ 4 → ? 0= counterclockwise from the +z-axis
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
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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7.33
![## <Ch 07 HW - Attempt 1>
### Exercise 7.33
A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential-energy function
\[ U(x, y) = (5.80 \, \text{J/m}^2) \, x^2 - (3.70 \, \text{J/m}^3)y^3. \]
**Part A**
**Question**:
What is the magnitude of the acceleration of the block when it is at the point \( x = 0.31 \, \text{m}, \, y = 0.61 \, \text{m} \)?
**Instruction**:
Express your answer with the appropriate units.
**Answer Input Box**:
\[ \alpha = \, [ \, \, \, \text{Value} \, \, \, ] [ \, \text{Units} \, ] \]
Submit Button:
\[ \boxed{\text{Submit}} \]
**Request Answer Button**:
\[ \boxed{\text{Request Answer}} \]
**Part B**
**Question**:
What is the direction of the acceleration of the block when it is at the point \( x = 0.31 \, \text{m}, \, y = 0.61 \, \text{m} \)?
**Instruction**:
Express \( \theta \) in degrees counterclockwise from the +x-axis.
**Answer Input Box**:
\[ \theta = \, [ \, \, \, \text{Value} \, \, \, ] \, ^\circ \, \text{counterclockwise from the +x-axis} \]
Submit Button:
\[ \boxed{\text{Submit}} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fddf14729-dbf2-4574-b793-bebd8df9c378%2F31140ceb-71dc-4afd-b3ad-0523461a1765%2Fo005ar_processed.png&w=3840&q=75)
Transcribed Image Text:## <Ch 07 HW - Attempt 1>
### Exercise 7.33
A small block with mass 0.0400 kg is moving in the xy-plane. The net force on the block is described by the potential-energy function
\[ U(x, y) = (5.80 \, \text{J/m}^2) \, x^2 - (3.70 \, \text{J/m}^3)y^3. \]
**Part A**
**Question**:
What is the magnitude of the acceleration of the block when it is at the point \( x = 0.31 \, \text{m}, \, y = 0.61 \, \text{m} \)?
**Instruction**:
Express your answer with the appropriate units.
**Answer Input Box**:
\[ \alpha = \, [ \, \, \, \text{Value} \, \, \, ] [ \, \text{Units} \, ] \]
Submit Button:
\[ \boxed{\text{Submit}} \]
**Request Answer Button**:
\[ \boxed{\text{Request Answer}} \]
**Part B**
**Question**:
What is the direction of the acceleration of the block when it is at the point \( x = 0.31 \, \text{m}, \, y = 0.61 \, \text{m} \)?
**Instruction**:
Express \( \theta \) in degrees counterclockwise from the +x-axis.
**Answer Input Box**:
\[ \theta = \, [ \, \, \, \text{Value} \, \, \, ] \, ^\circ \, \text{counterclockwise from the +x-axis} \]
Submit Button:
\[ \boxed{\text{Submit}} \]
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