Question
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angle that the plane makes with the horizontal is now decreased. 1 How will this change the kinetic frictional force acting on block A Choose from INCREASES, DECREASES or REMAINS TH SAME 2 Explain the answer to QUESTION 2.4.1.

Ask by Salazar Hilton. in South Africa
Jan 22,2025

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Answer

1. **INCREASES** 2. **Explanation:** When the plane's angle decreases, the normal force on the block increases, which in turn increases the kinetic frictional force acting on the block.

Solution

1. **INCREASES** 2. **Explanation:** Kinetic frictional force (\( f_k \)) is given by the equation \( f_k = \mu_k N \), where \( \mu_k \) is the coefficient of kinetic friction and \( N \) is the normal force. When the angle of the inclined plane decreases, the normal force \( N \) increases because \( N = mg \cos(\theta) \), where \( m \) is the mass of block A, \( g \) is the acceleration due to gravity, and \( \theta \) is the angle of the plane. As the normal force increases, the kinetic frictional force \( f_k \) also increases proportionally. Therefore, decreasing the angle of the plane results in an increase in the kinetic frictional force acting on block A.

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Mind Expander

When the angle that the plane makes with the horizontal is decreased, the kinetic frictional force acting on block A DECREASES. As the angle of the incline becomes less steep, the normal force acting on block A increases, which affects the frictional force. Kinetic friction is given by the equation \( f_k = \mu_k N \), where \( \mu_k \) is the coefficient of kinetic friction and \( N \) is the normal force. As the incline decreases, while N indeed increases, the component of gravity acting parallel to the incline (which influences the motion of block A) also decreases, leading to a situation where the net force acting in the direction of motion is less. As a result, the kinetic frictional force working against the motion of block A decreases, allowing it to slide more easily down the less steep incline.

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