Consider the 65.0 -kg ice skater being pushed by two others...

Consider the 65.0 -kg ice skater being pushed by two others shown in Figure $5.19 .$ (a) Find the direction and magnitude of $\mathbf{F}_{\text {tot }},$ the total force exerted on her by the others, given that the magnitudes $F_{1}$ and $F_{2}$ are $26.4 \mathrm{N}$ and $18.6 \mathrm{N},$ respectively. (b) What is her initial acceleration if she is initially stationary and wearing steel-bladed skates that point in the direction of $\mathbf{F}_{\text {tot }} ?$ (c) What is her acceleration assuming she is already moving in the direction of $\mathbf{F}_{\text {tot }} ?$ (Remember that friction always acts in the direction opposite that of motion or attempted motion between surfaces in contact.)

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Friction and Its Effects on Motion

Friction is a force that opposes the relative motion between two surfaces in contact. Its direction is always opposite to the direction of motion (or attempted motion), and it can affect the net force acting on an object. In dynamics problems, especially when the object is moving, friction must be considered as it reduces the effective force causing acceleration.

Newton’s Second Law of Motion

Newton’s Second Law states that the acceleration of an object is directly proportional to the net force acting upon it and inversely proportional to its mass (F = ma). This principle is used to determine the acceleration of an object when the net force and mass are known, as well as to analyze how forces influence motion.

Vector Addition of Forces

This concept involves combining two or more forces acting on an object to determine the net (resultant) force. By breaking forces into their components along mutually perpendicular directions and then summing those components, one can find both the magnitude and the direction of the total force. This method is essential when forces are applied at angles relative to one another.

Transcript

Please give Ace some feedback