In this lesson, we will learn how to analyze weight, friction, and normal reaction forces contributing to the motion of objects on sloped surfaces.
Students will be able to
Q1:
An object has a mass 𝑚=1.5kg. The object is initially moving at a speed 𝑢=1.2/ms parallel to a slope with an angle 𝜃=29∘, as shown in the diagram. The surface of the slope produces friction with the base of the object. The object’s upward displacement 𝑠=11cm along the slope before it is instantaneously at rest on the slope. Find the magnitude of the friction force.
Q2:
An object is initially moving at a speed 𝑢 parallel to a smooth slope with an angle 𝜃=36∘, as shown in the diagram. The object’s upward displacement 𝑠=7.2cm along the slope before it is instantaneously at rest on the slope. Find 𝑢.
Q3:
An object has a mass 𝑚=1.4kg. The object is initially at rest at the top of a slope with an angle 𝜃=50∘, as shown in the diagram. The surface of the slope produces friction with the base of the object. The object’s downward displacement 𝑠=5.5cm along the slope, where it has an instantaneous speed 𝑣=0.85/ms. Find the friction force acting on the object.
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