call a quantity which depends on direction a vector quantity‚ and a quantity which does not depend on direction is called a scalar quantity. Vector quantities have two characteristics‚ a magnitude and a direction. Scalar quantities have only a magnitude. When comparing two vector quantities of the same type‚ you have to compare both the magnitude and the direction. For scalars‚ you only have to compare the magnitude. When doing any mathematical operation on a vector quantity (like adding‚ subtracting
Free Force Mass Classical mechanics
FORCE AND MOTION Scalars vs. Vectors Scalars | Vectors | A scalar quantity has only magnitude. | A vector quantity has both magnitude and direction. | Scalars can be added‚ subtracted‚ multiplied and divided just as ordinary numbers‚ i.e.‚ scalars are subjected to simple arithmetic operations. | Vectors cannot be added‚ subtracted and multiplied following simple arithmetic laws. Arithmetic division of vectors is not possible at all. | Example: mass‚ volume‚ time‚ distance‚ speed‚ work‚ temperature
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quite far (the circumference of the earth’s orbit is nearly one trillion meters)‚ but in terms of displacement‚ not far at all (zero‚ actually). At the end of a year’s time the earth is right back where it started from. It hasn’t gone anywhere. A scalar quantity is a one dimensional measurement of a quantity‚ like temperature‚ or weight. A vector has more than one number associated with it.
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Distance Time Graphs Definitions * Speed: Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance. A fast-moving object has a high speed and covers a relatively large distance in a short amount of time. * Velocity: Velocity is a vector quantity that refers to "the rate at which an object changes its position." When evaluating the velocity of an object‚ one must keep track of direction. It would not
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"Age" Word Problems (page 1 of 2) In January of the year 2000‚ I was one more than eleven times as old as my son William. In January of 2009‚ I was seven more than three times as old as him. How old was my son in January of 2000? Obviously‚ in "real life" you’d have walked up to my kid and and asked him how old he was‚ and he’d have proudly held up three grubby fingers‚ but that won’t help you on your homework. Here’s how you’d figure out his age for class: First‚ name things and translate the
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Wile E. Coyote Group Project Solution Dear Wile E. Coyote: We have worked to create graphs of the plan without and with the catapult. The 300 comes from the initial height measured in feet and the -16 comes from (1/2) the acceleration of gravity in feet per second^2. The 20 with the catapult comes from the initial velocity of 20 feet per second. As you can see based on this graph the time the rock will hit the ground is roughly in 4.3 seconds. We can find the exact value by plugging in 0 for
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HL Vectors Notes 1. Vector or Scalar Many physical quantities such as area‚ length‚ mass and temperature are completely described once the magnitude of the quantity is given. Such quantities are called “scalars.” Other quantities possess the properties of magnitude and direction. A quantity of this kind is called a “vector” quantity. Winds are usually described by giving their speed and direction; say 20 km/h north east. The wind speed and wind direction together form a vector quantity
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Holiday’s homework Class IX 1. Is potential energy a vector or a scalar quantity? 2. A train travels at a speed of 60 km/hr for 0.52hr‚ at 30 km/h for the next 0.24hr and then at 70 km/h for the next 0.71h.What is the average speed of the train? 3. Plot the distance – time graphs a) When the body is at rest b) When the body is moving with a uniform speed c) When the body is moving with a non-uniform speed. 4. The brakes applied to a car produced an acceleration of 6 ms-2 in
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is the average speed? Section 4.3 – Velocity 1. Although we use these two words interchangeably‚ what is the difference between speed and velocity? 2. What is described when a car travels 60 km/h? How could we describe its velocity? 3. In terms of scalar and vector quantities‚ how would you describe speed? Velocity? 4. What does constant speed describe? Constant velocity? 5. If the velocity changes what also must be changing? Explain. 6. What controls on a car cause a change in speed? What causes
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Lab Conclusion When comparing the average speed results from part two of the lab and the definition of acceleration‚ you find similarities between the two. First‚ average speed is distance divided by time‚ and we use it to describe the motion of an object moving at changing speeds. We can see this from our lab results from the average speed of the marble traveling down the ramp‚ because it picks up speed. When the marble is released at the top of the ramp‚ the ball doesn’t have the same momentum
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