What is the mass of an object that accelerated at 5 m/s^2 and with a force or 45 N ?

Answer:

the forces are balanced :)

Explanation:

Answer:

Approximately [tex]21.6\; {\rm m\cdot s^{-1}}[/tex], assuming that the coefficient of kinetic friction between the tires and the ground stays the same.

Explanation:

Let [tex]\mu_{k}[/tex] denote the coefficient of kinetic friction between the tires and the ground.

Let [tex]m[/tex] denote the mass of the truck. Let [tex]g[/tex] denote the gravitational field strength. The weight of this truck would be [tex]m\, g[/tex]. Since the curve is flat, the magnitude of the normal force [tex]F_\text{normal}[/tex] between the truck and the ground would also be [tex]m\, g\![/tex].

Let [tex]v = 32.5\; {\rm m\cdot s^{-1}}[/tex] denote the speed at which the truck goes around the curve with a radius of [tex]150\; {\rm m}[/tex]. The (horizontal) centripetal acceleration of the truck would be:

[tex]\displaystyle a = \frac{v^{2}}{r}[/tex].

The horizontal net force on the truck (of mass [tex]m[/tex]) would need to be exactly:

[tex]\displaystyle F_\text{net} = m\, a = \frac{m\, v^{2}}{r}[/tex].

The friction between the tires of the truck and the ground is the only horizontal force on the truck. Thus, this friction would need to supply the entirety of this horizontal net force:

[tex]\displaystyle F_\text{friction} = F_\text{net} = \frac{m\, v^{2}}{r}[/tex].

Notice that increasing [tex]v[/tex] would require an increase in the kinetic friction between the truck, [tex]F_\text{friction}[/tex]. However, since [tex]F_\text{friction}\![/tex] is at most [tex]\mu_{k}\, F_\text{normal}[/tex] (which is equal to [tex]\mu_{k}\, m\, g[/tex]):

[tex]\begin{aligned}\frac{m\, v^{2}}{r} &= F_\text{friction} \\ & \le \mu_{k}\, F_\text{normal} \\ &= \mu_{k}\, m\, g\end{aligned}[/tex].

Therefore, when the radius of the curve is [tex]r^{\prime}[/tex], the maximum velocity of this truck would be:

[tex]\begin{aligned}v^{\prime} &= \sqrt{\mu_{k}\, g\, r^{\prime}}\end{aligned}[/tex].

Likewise, it is possible to express [tex]\mu_{k}[/tex] in terms of [tex]r[/tex], [tex]g[/tex], and max speed [tex]v[/tex]:

[tex]\displaystyle \mu_{k} = \frac{v^{2}}{r\, g}[/tex].

Substitute this expression for [tex]\mu_{k}[/tex] back into the expression for [tex]v^{\prime}[/tex]:

[tex]\begin{aligned}v^{\prime} &= \sqrt{\mu_{k}\, g\, r^{\prime}} \\ &= \sqrt{\frac{v^{2}}{r\, g}\, g\, r^{\prime}} \\ &= \sqrt{v^{2}\, \frac{r^{\prime}}{r}}\end{aligned}[/tex].

Given that [tex]v = 32.5\; {\rm m\cdot s^{-1}}[/tex], [tex]r = 150\; {\rm m}[/tex], and [tex]r^{\prime} = 66.0\; {\rm m}[/tex]:

[tex]\begin{aligned}v^{\prime} &= \sqrt{v^{2}\, \frac{r^{\prime}}{r}} \\ &= \sqrt{(32.5\; {\rm m\cdot s^{-1}})^{2} \times \frac{66.0\; {\rm m}}{150\; {\rm m}}} \\ &\approx 21.6\; {\rm m\cdot s^{-1}}\end{aligned}[/tex].

Assuming that all the bullet’s energy heats the paraffin, its final temperature is 27.1 degree C. The correct option is D.

Temperature is the degree of hotness and coldness of the material.

The energy of the bullet E = 1/2 mv²

E = 1/2 x 10 x 10⁻³ x (2000)²

E = 2 x 10⁴ J

This heat is used in heating the paraffin

E = m x c ΔT = m x c (Tfinal -Tinitial)

2 x 10⁴ J = 1 x 2.8 x 10³ x (Tfinal -20)

Tfinal = 27.1°C

Thus, the final temperature is 27.1 degree C. The correct option is D.

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

According to first law of reflection, we know that :

Angle made by the incident ray and normal [ i.e angle of incidence ] is always equal to Angle made by the reflected ray and normal [ i.e Angle of reflection ]

Therefore, we can say that the missing angle (angle of reflection) has the same value as the angle of incidence which is equal to 45°

Please read the statement through to understand the procedure ~

Based on the calculations, the radius of this cone is equal to 4 inches.

Mathematically, the volume of a cone is calculated by using this formula:

V = 1/3 × r²h

Where:

Making r the subject of formula, we have:

r = √(3V/πh)

Substituting the given parameters into the formula, we have;

r = √(3 × 96π/π × 18)

r = √(288/18)

r = √16

Radius, r = 4 inches.

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Answer:

i = 0.483 A

Explanation:

B = [tex]\frac{U.i}{2pi*r}[/tex]

So, here the r is 0.225 m

The Magnetic field is 4.29 x [tex]10^{-7}[/tex] t

U. = 4π x [tex]10^{-7}[/tex] x i

4.29 x [tex]10^{-7}[/tex] = (4π x [tex]10^{-7}[/tex] x i) / (2π * 0.225)

Cutting  [tex]10^{-7}[/tex]

4.29 = [tex]\frac{4π * i}{2π * 0.225}[/tex]

4π and 2π canceled, left with 2

4.29 = [tex]\frac{2i}{0.225}[/tex]

4.29*0.225 = 2i

0.96525 = 2i

i = [tex]\frac{0.96525}{2}[/tex]

i = 0.482625 A

Rounding to 3 digits after decimal, we get

∴ i = 0.483 A

The simplest compound of hydrocarbon is methane

The electron structure attached

Answer:    Advantages of following the soft path, the argument here is alternative sources of power such as hydropower, geothermal energy , wind energy , and photovoltaic cells must be developed. This provides a alternative source to remain in a healthy environment and also function as the society we currently live in using the hard path.  Disadvantages of following the hard path result with future generations fearing over the irreversible damage of climate change and the damage done to our atmosphere. The hard path argue that we should continue to operate in the future as we have in the past, except more efficiently. This is close to impossible and will only continue the negative effects the hard path( the path we have been following) results in. The major shift determines the outcome of this world, the futures worries or reliefs and ultimately the survival of humans.

Answer:

Approximately 2.06⋅108 meters per second.

Explanation:

Answer:

E = V Q        voltage * charge

Since the charge on an electron is      e = 1.6E-19    coulombs

the energy of 1 eV is 1.6E-19 joules

E = 2.88E-18 joules / 1.6E-19 joules/electron volt

E = 18 eV

The final velocity of the girl after the collision is determined as -4.8 m/s.

The final velocity of the girl is determined from the principle of conservation of linear momentum.

m1u1 + m2u2 = m1v1 + m2v2

50(0) + 80(0) = 50(v1) + 80(3)

0 = 50v1 + 240

50v1 = -240

v1 = -240/50

v1 = -4.8 m/s

Thus, the final velocity of the girl after the collision is determined as -4.8 m/s.

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Answer:

G M m / R^2 = m v^2 / R     centripetal force = force of attraction

R = G M / v^2         radius of satellite orbit

R = 6.67E-11 * 5.98E24 / 5000^2

R = 6.67 * 5.98 / 25 * 10^7 m = 1.60 * 107 m = 16 * 10^6 m

Radius of earth = 6.37 * 10^6 m

H = R - r = (16 - 6.4) * 10^6 m = 9.6 * 10^6 m

Answer:

Texture is how something feels.

Water cycle basically involves the change of water into liquid to vapour and again to liquid states through a cyclic manner .

The answers are

(a) The mass of the car is 1,795.92 kg

(b) The initial momentum of the car is 44,897.96 kgm/s.

(c) the change in momentum for the car is 44,897.96 kgm/s..

(d) The time it takes the braking force to bring the car to rest is 69.4 s.

The mass of the car is calculated as follows;

W = mg

m = W/g

m = (17,600)/9.8

m = 1,795.92 kg

Pi = mvi

Pi = 1,795.92 x 25

Pi = 44,897.96 kgm/s

ΔP = Pf - Pi

ΔP = 0(1,795.92) - 44,897.96 kgm/s

ΔP =  - 44,897.96 kgm/s

F = ma

-650 = 1,795.92(a)

a = -650/1,795.92

a = -0.36 m/s²

v = u + at

0 = 25 - 0.36t

0.36t = 25

t = 69.4 s

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The dielectric constant of the unknown material is 2.3.

Dielectric constant is referred as a relative permittivity or amount of charge required to produce one unit of electric flux in a given medium.

Given the speed of light in vacuum c =3 x 10⁸ m/s and the speed of light through an unknown material v = 1.98 x 10⁸ m/s.

The dielectric constant is related to the velocity by the following relation,

v = c/√K

Rearranging for dielectric constant, we get

K = (c/v)²

Substitute the value into the expression ,we get

K =(3 x 10⁸ / 1.98 x 10⁸)²

K = 2.3

Thus, the dielectric constant of the unknown material is 2.3.

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Examples of analog signals are Human voice, Thermometer, Analog phones etc.

Signal is defined as an electromagnetic wave that carries information through a medium. In this, the data is converted into electromagnetic signal which may be analog or digital and then sent from sender to receiver.

Signal which are continuous as time varies are analog signals.

Thus, examples of analog signals are Human voice, Thermometer, Analog phones etc.

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Answer:

Examples of analog signals are Human voice, Thermometer, Analog phones etc. Examples of digital signals are Computers, Digital Phones, Digital pens, etc.

Answer:

The momentum will quadruple

Explanation:

Original momentum

momen = mv

now increase both

 momen = 2m * 2v = 4 mv  <====== the momentum has quadrupled

Answer:

See below ~

Explanation:

An object will sink in water when its density is greater than that of water, which is 1 g/cm³.

Volume of the box is 1331 cm³. (11³)

Maximum mass of sand will be 1331 g. [because 1331/1331 = 1 g/cm³]

If the volume of sand is greater than 380.29 cm³, the box will sink in water.

Answer:

B. Negative acceleration means this car is slowing down.

Explanation:

for the other screenshot

Average acceleration = change in velocity /change in time.

[a = ∆V/∆t] —this the formula.

NOTE:

u = initial velocity (velocity it started with)

v = final velocity (velocity it ended with)

t = time {the time you were given)

a = acceleration.

listing out our givens:

u =o —(the unit is m/s)

v = 40 —(the unit is also m/s)

t = 0.08 —(the unit is s) "s" means second(s).

Soo

a = 40-0 / 0.08 = 500 m/s² ( unit for velocity is m/s²)

( Remember when using the formula we subtract the initial from the final velocity.........I mean we remove the initial from final) if not you will get a negative answer or wrong answer).

also note: final velocity is always bigger in value than initial velocity EXCEPT it is in deceleration meaning for example a car that was speeding is gradually stopping then initial (the one it started with) will be bigger than the one it ended with (because as it gradually stops the speed reduces).

VELOCITY is speed in a specified direction.

you're super free to ask any questions

Good luck ✅.

Answer: True

Explanation:

A scalar quantity is those quantities that only have magnitude and no direction. Therefore the value doesn't change with direction.

The increase in temperature that will result if 225.0 g of copper absorbs 5000 J of heat energy is 57.72°C.

The temperature change of a substance can be calculated using the following formula:

Q = m × c × ∆T

Where;

5000 = 225 × 0.385 × ∆T

5000 = 86.63∆T

∆T = 5000/86.63

∆T = 57.72°C

Therefore, the increase in temperature that will result if 225.0 g of copper absorbs 5000 J of heat energy is 57.72°C.

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Answer:

Speed is a "scalar" quantity

(C) is the correct answer

An object could travel at 10 m/s to some point and then return to the origin at 10 m/s for an average speed of 10 m/s, however it's displacement over that time would be zero for a net velocity of zero.

Answer:

speed

Explanation:

In a distance-time graph, the gradient of the line is equal to the speed of the object. The greater the gradient (and the steeper the line) the faster the object is moving.