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Cerrena [4.2K]
4 years ago
10

Which statement is true? A) The work done to lift an object 6 meters is greater than the gravitational potential energy it gains

. B) The work required to push an object is less than the work required to pull an object the same distance. C) The work required to raise an object to a height is equal to the gravitational potential energy the object gains. D) The work done against gravity to lift an object straight up is greater than the work required to roll it up a ramp.
Physics
1 answer:
inna [77]4 years ago
4 0

The work required to raise an object to a height is equal to the gravitational potential energy the object gains. <em>(C)</em>

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Calculate the frequencies corresponding to the wavelengths 500.00 nm and 500.10 nm. Use these to check the accuracy of equation
mel-nik [20]

Explanation:

It is given that,

Wavelength, \lambda_1=500\ nm=5\times 10^{-7}\ m

Wavelength, \lambda_2=500.10\ nm=5.001\times 10^{-7}\ m

We need to find the frequencies from corresponding wavelengths. The frequency of the light is given by :

f=\dfrac{c}{\lambda}  

c is the speed of light

Frequency 1,

f_1=\dfrac{c}{\lambda_1}  

f_1=\dfrac{3\times 10^8\ m/s}{5\times 10^{-7}\ m}  

f_1=6\times 10^{14}\ Hz

Frequency 2,

f_2=\dfrac{c}{\lambda_2}  

f_1=\dfrac{3\times 10^8\ m/s}{5.001\times 10^{-7}\ m}  

f_1=5.99\times 10^{14}\ Hz

Hence, this is the required solution.

3 0
3 years ago
By method of dimension show that the following equation are homogenous.
il63 [147K]

Answer:

Proof in explanataion

Explanation:

The basic dimensions are as follows:

MASS = M

LENGTH = L

TIME = T

i)

Given equation is:

H = \frac{u^2Sin^2\phi}{2g}

where,

H = height (meters)

u = speed (m/s)

g = acceleration due to gravity (m/s²)

Sin Ф = constant (no unit)

So there dimensions will be:

H = [L]

u = [LT⁻¹]

g = [LT⁻²]

Sin Ф = no dimension

Therefore,

[L] = \frac{[LT^{-1}]^2}{[LT^{-2}]}\\\\\ [L] = [L^{(2-1)}T^{(-2+2)}]

<u>[L] = [L]</u>

Hence, the equation is proven to be homogenous.

ii)

F = \frac{Gm_1m_2}{r^2}\\\\

where,

F = Force = Newton = kg.m/s² = [MLT⁻²]

G = Gravitational Constant = N.m²/kg² = (kg.m/s²)m²/kg² = m³/kg.s²

G = [M⁻¹L³T⁻²]

m₁ = m₂ = mass = kg = [M]

r = distance = m = [L]

Therefore,

[MLT^{-2}] = \frac{[M^{-1}L^{3}T^{-2}][M][M]}{[L]^2}\\\\\ [MLT^{-2}] = [M^{(-1+1+1)}L^{(3-2)}T^{-2}]\\\\

<u>[MLT⁻²] = [MLT⁻²]</u>

Hence, the equation is proven to be homogenous.

8 0
3 years ago
Explain why data organization is an important part of scientific inquiry describe two types of graphs that can be used to organi
Anuta_ua [19.1K]
<span>Data organization is extremely important in science. One must be able to display data in a way that others can look at it and easily understand what's being said. This takes us to line charts, which are great for showing how something increases or decreases over an amount of time. Another example would be a pie chart which could show the percentages of different matter that makes up a full object.</span>
6 0
3 years ago
17. If ice has a density of 0.92g/cm?, what is the mass of a 30 cm block?<br> I
arsen [322]

Answer:

Mass = 27.6 grams

Explanation:

Given the following data;

Density of ice = 0.92g/cm³

Volume = 30cm³

To find mass of ice;

Density can be defined as mass all over the volume of an object.

Simply stated, density is mass per unit volume of an object.

Mathematically, density is given by the equation;

Density = \frac{mass}{volume}

Making mass the subject of formula, we have;

Mass = density * volume

Mass = 0.92 * 30

Mass = 27.6 grams

Therefore, the mass of ice is 27.6 grams.

3 0
3 years ago
Object A has a mass of 8.0 kg and is accelerating at 4.0 m/s2. Object B has a mass of 10.0 kg and is accelerating at 3.0 m/s2. O
Leviafan [203]

Answer:

b. B, A, C

Explanation:

To solve this problem, let us find the net forces they are experiencing.

 Net force  = mass x acceleration

Object A;  mass  = 8kg and acceleration  = 4m/s²

                 Net force  = 8 x 4  = 32N

Object B;  mass  = 10kg and acceleration  = 3m/s²

                 Net force  = 10 x 3  = 30N

Object C:   mass  = 7kg  and acceleration  = 5m/s²

                   Net force  = 7 x 5 = 35N

So, increasing order of their net force;

              B < A < C

6 0
3 years ago
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