The figure below shows an object with mass m = 5.7 kg pulled up a ramp inclined at an angle of = 280 m (a) If there is no friction between the object and the ramp, what is the magnitude of the object's acceleration (in m/s²)? 2.88 X Draw a free-body diagram. What forces act on the object? Let the x-axis be parallel to the incline. What is the direction of the force F? What is its x-component? What is the direction of the gravitational force? What is its x-component? Can you use Newton's second law and the x-components of the forces to find the acceleration? m/s² (b) If instead the coefficient of kinetic friction between the object and the ramp is 0.12, what is the magnitude of the object's acceleration (in m/s²)? X 2.86 What is the direction of the frictional force? What is the direction of the normal force? How does the frictional force depend on the normal force? Let the x-axis be parallel to the incline and the y-axis rise from the incline at a right angle. By Newton's second law, if there is no acceleration in the y-direction (perpendicular to the ramp), what must be the f the normal force? Use Newton's second law and the x-components of the forces to find the acceleration. m/s²

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Chapter1: Units, Trigonometry. And Vectors
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The figure below shows an object with mass m = 5.7 kg pulled up a ramp inclined at an angle of 0 = 28° with a force of magnitude 35 N parallel to the ramp.
0
m
TE
i
(a) If there is no friction between the object and the ramp, what is the magnitude of the object's acceleration (in m/s2)?
X
2.88
Draw a free-body diagram. What forces act on the object? Let the x-axis be parallel to the incline. What is the direction of the force F? What is its x-component? What is the
direction of the gravitational force? What is its x-component? Can you use Newton's second law and the x-components of the forces to find the acceleration? m/s²
(b) If instead the coefficient of kinetic friction between the object and the ramp is 0.12, what is the magnitude of the object's acceleration (in m/s²)?
2.86
X
What is the direction of the frictional force? What is the direction of the normal force? How does the frictional force depend on the normal force? Let the x-axis be parallel to the
incline and the y-axis rise from the incline at a right angle. By Newton's second law, if there is no acceleration in the y-direction (perpendicular to the ramp), what must be the
magnitude of the normal force? Use Newton's second law and the x-components of the forces to find the acceleration. m/s²
Transcribed Image Text:The figure below shows an object with mass m = 5.7 kg pulled up a ramp inclined at an angle of 0 = 28° with a force of magnitude 35 N parallel to the ramp. 0 m TE i (a) If there is no friction between the object and the ramp, what is the magnitude of the object's acceleration (in m/s2)? X 2.88 Draw a free-body diagram. What forces act on the object? Let the x-axis be parallel to the incline. What is the direction of the force F? What is its x-component? What is the direction of the gravitational force? What is its x-component? Can you use Newton's second law and the x-components of the forces to find the acceleration? m/s² (b) If instead the coefficient of kinetic friction between the object and the ramp is 0.12, what is the magnitude of the object's acceleration (in m/s²)? 2.86 X What is the direction of the frictional force? What is the direction of the normal force? How does the frictional force depend on the normal force? Let the x-axis be parallel to the incline and the y-axis rise from the incline at a right angle. By Newton's second law, if there is no acceleration in the y-direction (perpendicular to the ramp), what must be the magnitude of the normal force? Use Newton's second law and the x-components of the forces to find the acceleration. m/s²
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