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3 years ago

Differentiate scalars & vectors?

2 answers:

6 0

A scalar quantity is a one dimensional measurement of a quantity, like temperature, or mass. A vector has more than one number associated with it. A simple example is velocity. It has a magnitude, called speed, as well as a direction, like North or Southwest or 10 degrees west of North.

ira [324]3 years ago

3 0

Scalar is distance and magnitude while Vector is distance with direction as well as displacement and velocity

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A ball has m=10 kg and v=10 m/s. It has the same momentum as which of the following?

crimeas [40]

Answer:

Choice d. All three balls listed in choice a, b, and c have a momentum of $100\; \rm kg \cdot m \cdot s^{-1}$ each, same as that of the $10\; \rm kg$ ball moving at $10\; \rm m \cdot s^{-1}$ . Assumption: all four balls are moving in the same direction.

Explanation:

The momentum $p$ of an object is equal to the product of its mass $m$ and its velocity $v$ .

Momentum of a $10\; \rm kg$ ball moving at $10\; \rm m \cdot s^{-1}$ :

$p = m \cdot v = 10\; \rm kg \times 10\; \rm m \cdot s^{-1} = 100\; \rm kg \cdot m \cdot s^{-1}$ .

Similarly:

Momentum of the ball in choice a: $100 \; \rm kg \times 1\; \rm m \cdot s^{-1} = 100\; \rm kg \cdot m\cdot s^{-1}$ .
Momentum of the ball in choice b: $5 \; \rm kg \times 20\; \rm m \cdot s^{-1} = 100\; \rm kg \cdot m\cdot s^{-1}$ .
Momentum of the ball in choice c: $2 \; \rm kg \times 50\; \rm m \cdot s^{-1} = 100\; \rm kg \cdot m\cdot s^{-1}$ .

Hence the conclusion that these balls have the same momentum.

7 0

3 years ago

It is difficult to observe 1-nanometer, 1 millimeter, and 100 meter radiation with ground-based telescopes. What are the reasons

Paul [167]

Explanation:

1 nano-meter radiations are very difficult to observe from the ground based telescope because most of this range of radiation is absorbed through ozone layer. A very small amount of this range escape out of the ozone layer. This remaining few radiations are very difficult to track from the ground base telescope.

1 millimeter range of radiation comprises of infrared. It has range from 710 nano-meter to 1 millimeter. Infrared radiation can be easily absorbed from water and carbon di oxide molecules present in the atmosphere. So, it is absorbed by water and carbon di oxide molecules in the atmosphere. Thus, it is difficult to observe from the ground based telescope.

100 meter radiations are are radio-waves. The charged particle present in the uppermost layer of atmosphere absorbs these radio waves. So, these waves are absorbed by charged particle in the upper atmosphere. Thus, it is difficult to observe from the ground based telescope.

7 0

4 years ago

A small object with momentum 7.0 kg∙m/s approaches head-on a large object at rest. The small object bounces straight back with a

EastWind [94]

Answer:

The magnitude of the large object's momentum change is 3 kilogram-meters per second.

Explanation:

Under the assumption that no external forces are exerted on both the small object and the big object, whose situation is described by the Principle of Momentum Conservation:

$p_{S,1}+p_{B,1} = p_{S,2}+p_{B,2}$ (1)

Where:

$p_{S,1}$ , $p_{S,2}$ - Initial and final momemtums of the small object, measured in kilogram-meters per second.

$p_{B,1}$ , $p_{B,2}$ - Initial and final momentums of the big object, measured in kilogram-meters per second.

If we know that $p_{S,1} = 7\,\frac{kg\cdot m}{s}$ , $p_{B,1} = 0\,\frac{kg\cdot m}{s}$ and $p_{S, 2} = 4\,\frac{kg\cdot m}{s}$ , then the final momentum of the big object is: