A block of mass m = 5.1 kg is pulled up a θ = 24° incline as in the figure below with a force of magnitude F = 38 N.   (a) Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration.) m/s2 (b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.12. (Give the magnitude of the acceleration.) m/s2

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A block of mass

m = 5.1 kg

is pulled up a

θ = 24°

incline as in the figure below with a force of magnitude

F = 38 N.
 
(a) Find the acceleration of the block if the incline is frictionless. (Give the magnitude of the acceleration.)
m/s2

(b) Find the acceleration of the block if the coefficient of kinetic friction between the block and incline is 0.12. (Give the magnitude of the acceleration.)
m/s2
The image depicts a block of mass \( m \) placed on an inclined plane, which has an angle of inclination \( \theta \) with the horizontal surface. The block is subjected to an external force \( \vec{F} \) that acts parallel to the incline and directed up the slope.

Key components of the diagram:

1. **Inclined Plane**: This is shown as a sloped surface making an angle \( \theta \) with the horizontal.
2. **Block of Mass (m)**: The block is positioned on the inclined plane.
3. **Angle (\( \theta \))**: This is the angle between the inclined plane and the horizontal surface.
4. **Force (\( \vec{F} \))**: The force is represented by an arrow pointing up the incline and is indicated by the vector \( \vec{F} \).

This setup is commonly used in physics to analyze the forces acting on a body on an inclined plane. Different components of the force, such as gravitational force, normal force, and frictional force, can be studied to understand the motion and equilibrium conditions of the block on the incline.
Transcribed Image Text:The image depicts a block of mass \( m \) placed on an inclined plane, which has an angle of inclination \( \theta \) with the horizontal surface. The block is subjected to an external force \( \vec{F} \) that acts parallel to the incline and directed up the slope. Key components of the diagram: 1. **Inclined Plane**: This is shown as a sloped surface making an angle \( \theta \) with the horizontal. 2. **Block of Mass (m)**: The block is positioned on the inclined plane. 3. **Angle (\( \theta \))**: This is the angle between the inclined plane and the horizontal surface. 4. **Force (\( \vec{F} \))**: The force is represented by an arrow pointing up the incline and is indicated by the vector \( \vec{F} \). This setup is commonly used in physics to analyze the forces acting on a body on an inclined plane. Different components of the force, such as gravitational force, normal force, and frictional force, can be studied to understand the motion and equilibrium conditions of the block on the incline.
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