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**Educational Resource: Understanding Forces and Motion** **Diagram Description:** The diagram depicts a block on a surface with two forces acting upon it. - Force \( F2 = 30N \): This force is applied at an angle to the left of the block. - Force \( F1 = 25N \): This force is applied at an angle to the right of the block. The angles at which these forces are applied seem to relate to the horizontal plane, with distances of 20 and 10 units marked along the horizontal line extending from the block. --- **Problem Statement:** **Given that \( M = 60 \, \text{kg} \), please answer the following:** **A) Find the acceleration in the x-direction.** *Hint:* Apply \( F = Ma \) in the x-direction \(\Sigma F_x = ma_x\). **B) Find the normal force.** *Hint:* Apply \( F = Ma \) in the y-direction \(\Sigma F_y = ma_y\). **C) If the block was initially at rest and you apply these forces for 3 seconds, what is the velocity and position of the block?** *Hint:* To find the velocity use equation 1: \( V_x = V_{ix} + a_x t \). To find the position use equation 2: \( X = X_i + V_{ix} t + \frac{1}{2} a_x t^2 \). Remember, you have already found \( a_x \) from part (A). **Answers:** Go to next page…

**Educational Resource: Understanding Forces and Motion** **Diagram Description:** The diagram depicts a block on a surface with two forces acting upon it. - Force \( F2 = 30N \): This force is applied at an angle to the left of the block. - Force \( F1 = 25N \): This force is applied at an angle to the right of the block. The angles at which these forces are applied seem to relate to the horizontal plane, with distances of 20 and 10 units marked along the horizontal line extending from the block. --- **Problem Statement:** **Given that \( M = 60 \, \text{kg} \), please answer the following:** **A) Find the acceleration in the x-direction.** *Hint:* Apply \( F = Ma \) in the x-direction \(\Sigma F_x = ma_x\). **B) Find the normal force.** *Hint:* Apply \( F = Ma \) in the y-direction \(\Sigma F_y = ma_y\). **C) If the block was initially at rest and you apply these forces for 3 seconds, what is the velocity and position of the block?** *Hint:* To find the velocity use equation 1: \( V_x = V_{ix} + a_x t \). To find the position use equation 2: \( X = X_i + V_{ix} t + \frac{1}{2} a_x t^2 \). Remember, you have already found \( a_x \) from part (A). **Answers:** Go to next page…

College Physics
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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**Educational Resource: Understanding Forces and Motion** **Diagram Description:** The diagram depicts a block on a surface with two forces acting upon it. - Force \( F2 = 30N \): This force is applied at an angle to the left of the block. - Force \( F1 = 25N \): This force is applied at an angle to the right of the block. The angles at which these forces are applied seem to relate to the horizontal plane, with distances of 20 and 10 units marked along the horizontal line extending from the block. --- **Problem Statement:** **Given that \( M = 60 \, \text{kg} \), please answer the following:** **A) Find the acceleration in the x-direction.** *Hint:* Apply \( F = Ma \) in the x-direction \(\Sigma F_x = ma_x\). **B) Find the normal force.** *Hint:* Apply \( F = Ma \) in the y-direction \(\Sigma F_y = ma_y\). **C) If the block was initially at rest and you apply these forces for 3 seconds, what is the velocity and position of the block?** *Hint:* To find the velocity use equation 1: \( V_x = V_{ix} + a_x t \). To find the position use equation 2: \( X = X_i + V_{ix} t + \frac{1}{2} a_x t^2 \). Remember, you have already found \( a_x \) from part (A). **Answers:** Go to next page…
Transcribed Image Text:**Educational Resource: Understanding Forces and Motion** **Diagram Description:** The diagram depicts a block on a surface with two forces acting upon it. - Force \( F2 = 30N \): This force is applied at an angle to the left of the block. - Force \( F1 = 25N \): This force is applied at an angle to the right of the block. The angles at which these forces are applied seem to relate to the horizontal plane, with distances of 20 and 10 units marked along the horizontal line extending from the block. --- **Problem Statement:** **Given that \( M = 60 \, \text{kg} \), please answer the following:** **A) Find the acceleration in the x-direction.** *Hint:* Apply \( F = Ma \) in the x-direction \(\Sigma F_x = ma_x\). **B) Find the normal force.** *Hint:* Apply \( F = Ma \) in the y-direction \(\Sigma F_y = ma_y\). **C) If the block was initially at rest and you apply these forces for 3 seconds, what is the velocity and position of the block?** *Hint:* To find the velocity use equation 1: \( V_x = V_{ix} + a_x t \). To find the position use equation 2: \( X = X_i + V_{ix} t + \frac{1}{2} a_x t^2 \). Remember, you have already found \( a_x \) from part (A). **Answers:** Go to next page…
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