2. a) A student obtained ice at 0°C from a refrigerator and placed it in a beaker on a

Use dimensional analysis to determine how the linear acceleration a in m/s2 of a particle traveling in a circle depends on some,

astraxan [27]

I have to say, i love this kind of problems.

So, we got the linear acceleration, as we all know, linear the acceleration its, in dimensional units:

$[a]=[\frac{distance}{time^2}]$ .

Now, we got the radius

$[r] = [distance]$

the angular frequency

$[\omega] = \frac{1}{s}$

and the mass

$[m]=[mass]$ .

Now, the acceleration doesn't have units of mass, so it can't depend on the mass of the particle.

The distance in the acceleration has exponent 1, and so does in the radius. As the radius its the only parameter that has units of distance, this means that the radius must appear with exponent 1. Lets write

$a \propto r$ .

The time in the acceleration has exponent -2 As the angular frequency its the only parameter that has units of time, this means that the angular frequency must appear, but, the angular frequency has an exponent of -1, this means it must be squared

$a \propto r \omega^2$ .

We are almost there. If this were any other problem, we would write:

$a = A r \omega^2$

where A its an dimensionless constant. Its common for this constants to appears if we need an conversion factor. If we wanted the acceleration in cm/s^2, for example. Luckily for us, the problem states that there is no dimensionless constant involved, so:

$a = r \omega^2$

5 0

3 years ago

PLZ ANSWER ASAP, I WILL MARK AS BRAINLIEST

MissTica

Answer:

electric potential energy=

$\frac{KQq}{r}$

so the electric potential energy and distance(r) are inversely proportional.

then, the greatest energy occur in the smallest distance b/n the two balloon.

7 0

4 years ago

Read 2 more answers

How do dominant alleles and recessive alleles differ?

Stells [14]

Answer:

A dominant allele produces a dominant trait in individuals who have one copy of the allele, that can come from one parent. To produces a recessive trait, the child must have two copies of the recessive allele, one from each parent.

Explanation:

The terms dominant and recessive describe the patterns of certain traits. They describe how likely it is for certain traits to pass from parent offspring in humans and animals. The two copies of each gene (alleles), can be slightly different from each other. The differences can cause variations in the protein that’s produced, Proteins affect traits, so variations in protein activity or expression can create different phenotypes.

A dominant allele produces a dominant phenotype (trait) in individuals who have one copy of the allele, which can come from one parent. For a recessive allele to produce a recessive phenotype, the individual must have two copies, one from each parent. A person with one dominant and one recessive allele for a gene will have a dominant phenotype. They are generally considered carriers of the recessive allele- the recessive allele is there, but the recessive phenotype is not.

8 0

3 years ago

The momentum of an object is determined to be 7.2 × 10-3 kg⋅m/s. Express this quantity as provided or use any equivalent unit. (

slavikrds [6]

Answer:

Momentum, p = 7.2 g-m/s

Explanation:

It is given that,

The momentum of an object is $p=7.2\times 10^{-3}\ kg-m/s$

We need to express momentum in any equivalent units. There can be many solutions of this problem. Some of the units of mass are gram, milligram etc. units of length are meters, mm etc.

Since, 1 kg = 1000 gram

So, $p=7.2\times 10^{-3}\times 10^3\ g-m/s$

Therefore, the momentum of the object is 7.2 g-m/s. Hence, this is the required solution.

6 0

4 years ago

The relationship between energy (E), power (P), and time (t) is

NemiM [27]

Answer:

The avarage power of the body is 96.898 watts.

Explanation:

We must notice that given definition of power implies a constant consumption of energy, so that we should assume that energy consumption is constant. A Calorie is equal to 4186 joules. If we know that $E = 2000\,Cal$ and $t = 1\,day$ , the power of body, measured in watts, is:

$P = \frac{(2000\,Cal)\cdot \left(4186\,\frac{J}{Cal} \right)}{(1\,day)\cdot \left(24\,\frac{h}{day} \right)\cdot \left(3600\,\frac{s}{h} \right)}$

$P = 96.898\,W$

The avarage power of the body is 96.898 watts.

3 0

4 years ago