A 5kg book rests on a table. How much force is it exerting on the table?

Which of the following expressions will have units of kg⋅m/s2? Select all that apply, where x is position, v is velocity, m is m

netineya [11]

Answer: $m \frac{d}{dt}v_{(t)}$

Explanation:

In the image attached with this answer are shown the given options from which only one is correct.

The correct expression is:

$m \frac{d}{dt}v_{(t)}$

Because, if we derive velocity $v_{t}$ with respect to time $t$ we will have acceleration $a$ , hence:

$m \frac{d}{dt}v_{(t)}=m.a$

Where $m$ is the mass with units of kilograms ( $kg$ ) and $a$ with units of meter per square seconds $\frac{m}{s}^{2}$ , having as a result $kg\frac{m}{s}^{2}$

The other expressions are incorrect, let’s prove it:

$\frac{m}{2} \frac{d}{dx}{(v_{(x)})}^{2}=\frac{m}{2} 2v_{(x)}^{2-1}=mv_{(x)}$ This result has units of $kg\frac{m}{s}$

$m\frac{d}{dt}a_{(t)}=ma_{(t)}^{1-1}=m$ This result has units of $kg$

$m\int x_{(t)} dt= m \frac{{(x_{(t)})}^{1+1}}{1+1}+C=m\frac{{(x_{(t)})}^{2}}{2}+C$ This result has units of $kgm^{2}$ and $C$ is a constant

$m\frac{d}{dt}x_{(t)}=mx_{(t)}^{1-1}=m$ This result has units of $kg$

$m\frac{d}{dt}v_{(t)}=mv_{(t)}^{1-1}=m$ This result has units of $kg$

$\frac{m}{2}\int {(v_{(t)})}^{2} dt= \frac{m}{2} \frac{{(v_{(t)})}^{2+1}}{2+1}+C=\frac{m}{6} {(v_{(t)})}^{3}+C$ This result has units of $kg \frac{m^{3}}{s^{3}}$ and $C$ is a constant

$m\int a_{(t)} dt= \frac{m {a_{(t)}}^{2}}{2}+C$ This result has units of $kg \frac{m^{2}}{s^{4}}$ and $C$ is a constant

$\frac{m}{2} \frac{d}{dt}{(v_{(x)})}^{2}=0$ because $v_{(x)}$ is a constant in this derivation respect to $t$

$m\int v_{(t)} dt= \frac{m {v_{(t)}}^{2}}{2}+C$ This result has units of $kg \frac{m^{2}}{s^{2}}$ and $C$ is a constant

6 0

3 years ago

A planar electromagnetic wave is propagating in the +x direction. At a certain point P and at a given instant, the electric fiel

jeka94

Answer:

$B=2.74\times 10^{-10}\ T$

Explanation:

It is given that,

A planar electromagnetic wave is propagating in the +x direction.The electric field at a certain point is, E = 0.082 V/m

We need to find the magnetic vector of the wave at the point P at that instant.

The relation between electric field and magnetic field is given by :

$c=\dfrac{E}{B}$

c is speed of light

B is magnetic field

$B=\dfrac{E}{c}\\\\B=\dfrac{0.082}{3\times 10^8}\\\\B=2.74\times 10^{-10}\ T$

So, the magnetic vector at point P at that instant is $2.74\times 10^{-10}\ T$ .

3 0

3 years ago

Steep and unstable slopes can produce ____________ , forming coarse-grained rocks. magma erupted on the surface can form a _____

notka56 [123]

Steep and unstable slopes can produce LANDSLIDES AND MUDFLOWS , forming coarse-grained rocks.

Landslides occur because of a compromise in the natural stability of a slope. It is characterized by masses of earth and rock rapidly moving down fast in the slant. Mudflows, are also a form of mass wasting attributed by extreme surging flow of liquefied debris and water.

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Magma erupted on the surface can form a LAVA FLOW that cools quickly, resulting in volcanic glass.

Lava flow is a process in volcanic eruptions. Lava flows are oozing streams of molten rock from an erupting vent. Lava runs according to its type and viscosity, steepness of the landscape, whether the lava is flowing as a broad sheet through a tube or channel, and how rapid the production of lava is. When the lava cools immediately, it solidifies without crystallization and becomes a glasslike rock.

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Some volcanic ash rises vertically in an ERUPTION COLUMN , cools before accumulating on the surface, and forms deposits that are pegmatite.

Eruption column is emitted during an explosive eruption, as a column or a vertical cloud of ash and tephra in gases. It forms as crystalline granite measuring from several centimeters up to several meters high when it cools before accumulating.

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Some volcanic ash forms PYROCLASTIC FLOW that accumulate while hot and can become WELDED to some extent.

Pyroclastic flow is also referred to as pyroclastic density current or pyroclastic cloud. It is tephra as hot as 1000 degrees Celsius, swiftly moving away from the volcano speeding 700 km/h at most. Many pyroclastic flows that are thick become welded—compact and consolidated.

6 0

4 years ago

Read 2 more answers

Which of the following terms refers to any push or pull on an object

Murljashka [212]

Its either B. force or A. net force but I will go with force because forces can either push or pull I hope it help you.

3 0

4 years ago

A scientific theory states that the universe is expanding. Which of these statements is correct about this theory?

Stolb23 [73]

A scientific theory states that the universe is expanding. the statement is correct about this theory is: d. it is a well supported explanation which cannot become law. a theory is very different from a law. a theory explain why something happen.

hope this help

8 0

3 years ago

Read 2 more answers

A 5kg book rests on a table. How much force is it exerting on the table?​

A 5kg book rests on a table. How much force is it exerting on the table?