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(1) Vector $\vec { \mathbf { v } } _ { 1 }$ points along the $z$ axis and has magnitude $V _ { 1 } = 75 .$ Vector $\vec { \mathbf { V } } _ { 2 }$ lies in the $x z$ plane, has magnitude $V _ { 2 } = 58 ,$ and makes a $- 48 ^ { \circ }$ angle with the $x$ axis (points below $x$ axis). What is the scalar product $\vec { \mathbf { v } } _ { 1 } \cdot \vec { \mathbf { V } } _ { 2 }$ ?

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$$-3200$$

Physics 101 Mechanics

Chapter 7

Work and Energy

Work

Kinetic Energy

Potential Energy

Energy Conservation

Cornell University

University of Washington

Simon Fraser University

University of Winnipeg

Lectures

04:05

In physics, a conservative force is a force that is path-independent, meaning that the total work done along any path in the field is the same. In other words, the work is independent of the path taken. The only force considered in classical physics to be conservative is gravitation.

03:47

In physics, the kinetic energy of an object is the energy which it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body in decelerating from its current speed to a state of rest. The kinetic energy of a rotating object is the sum of the kinetic energies of the object's parts.

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Vector $\mathbf{V}_{1}$ po…

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(II) Vector $\overrightarr…

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(a) What are the component…

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As shown in FIGURE 7.4.9, …

So let's draw these two vectors. Ah, we have the okay. No Z access here. We have our X axis. Here. Here is our ah, second factor. And this would be our first factor. And we have an angle here. Fada, we knowthe Ada is going to be 130 eight degrees so we can simply find the doc product between these two vectors. Bye. Multiplying there magnitudes, uh, and multiplying that by co sign of data. So this is something the equal 2 75 times, 58 times co sign of 138 degrees. And so the top product between the two vectors equals negative 3000 233. So this would be our final answer. That is the end of the solution. Thank you for watching

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