A wheel rolling on a horizontal surface with an angular speed of 2.5 rad/s gets on a ramp and rolls down the ramp with a constant angular acceleration of 2.0 rad/s2. If it takes 11.5 us to reach the bottom of the ramp, what is the final angular speed of the wheel at the bottom

Answer:

0.426 volts

Explanation:

It is given that,

The radius of a circular loop, r = 11.2 cm = 0.112 m

An elastic conducting material is stretched into a circular loop.

It is placed with its plane perpendicular to a uniform 0.880 T magnetic field.

The radius of the loop starts to shrink at an instantaneous rate of 68.8 cm/s, dr/dt = 0.688 m/s

We need to find the emf induced in the loop at that instant.

[tex]\epsilon=\dfrac{-d\phi}{dt}\\\\=\dfrac{d}{dt}(BA)\\\\=\dfrac{d}{dt}(\pi r^2 B)\\\\=\pi B\dfrac{d}{dt}(r^2)\\\\=2\pi B r\dfrac{dr}{dt}\\\\=2\pi \times 0.88\times 0.112\times 0.688\\\\=0.426\ V[/tex]

So, the magnitude of induced emf is 0.426 volts.

Answer:

approximately 150 grams

Explanation:

The weight of an object is a product of its mass and acceleration of gravity acting upon it. Since weight (W) is force, it is measured in Newtons (N) or Kgms-²

W = mg

Where;

W = weight (N)

m = mass (kg)

g = acceleration due to gravity

g is a constant, which is approximately 10m/s²

Therefore, according to this question, the mass of a bag of shells that weighs 1.5N can be calculated thus:

m = W/g

m = 1.5/10

m = 0.15 kg

Converting 0.15kg to grams, we multiply by 1000 i.e 0.15 × 1000 = 150 grams.

Hence, the mass of the object is approximately 150grams.

Answer:

i) x = 13

ii) x = -1

iii) x = 2

Explanation:

Given the following expressions, we are to find the corresponding value of x.

1) x-1 by 4=3

x-1/4=3

Cross multiply

x-1 = 4*3

x-1 = 12

x = 12+1

x = 13

2) Given 3x+6 by 2 = 3 by 2

3x+6/2=3/2

Cross multiply

2(3x+6) = 2(3)

2(3x) + 2(6) = 6

6x + 12 = 6

6x = 6-12

6x = -6

x = -6/6

x = -1

3) 3x-1by5=2x+3by7​

This can also be written as:

(3x-1)/5 = (2x+3)/7​

Cross multiply

7(3x-1) = 5(2x+3)

Open the bracket

7(3x) - 7(1) = 5(2x) + 5(3)

21x - 7 = 10x + 15

Collect like terms

21x - 10x = 15 + 7

11x = 22

x = 22/11

x = 2

Answer:

English please?

Explanation:

Answer: 15m/s

Explanation: Average Velocity is vector describing the total displacement of an object and the time taken to change its position. It is represented as:

[tex]v=\frac{\Delta x}{\Delta t}[/tex]

At t₁ = 1.0s, displacement x₁ is:

[tex]x(1)=25+3(1)^{2}[/tex]

x(1) = 28

At t₂ = 4.0s:

[tex]x(4)=25+3(4)^{2}[/tex]

x(4) = 73

Then, average speed is

[tex]v=\frac{73-28}{4-1}[/tex]

v = 15

The average velocity of a car between t₁ = 1s and t₂ = 4s is 15m/s

The correct answer is 195.6 N

Explanation:

Different from the mass (total of matter) the weight is affected by gravity. Due to this, the weight changes according to the location of a body in the universe as gravity is not the same in all planets or celestial bodies. Moreover, this factor is measured in Newtons and it can be calculated using this simple formula W (Weight) = m (mass) x g (force of gravity). Now, leps calculate the weigh of someone whose mass is 120 kg and it is located on the moon:

F = 120 kg x 1.63 m/s2

F= 195.6 N

Answer:

the electrical force between two charged objects is inversely related to the distance of separation between the two objects. Increasing the separation distance between objects decreases the force of attraction or repulsion between the objects. And decreasing the separation distance between objects increases the force of attraction or repulsion between the objects. Electrical forces are extremely sensitive to distance. 

Answer:

Epot = 294300 [J]

Explanation:

Potential energy is defined as the product of mass by height by gravitational acceleration. The height is measured with respect to the reference level. At this reference level the potential energy is equal to zero.

[tex]E_{pot}=m*g*h\\[/tex]

where:

m = mass = 150 [kg]

g = gravity acceleration [m/s²]

h = elevation = 200 [m]

[tex]E_{pot}=150*9.81*200\\E_{pot}=294300 [J][/tex]

Answer:

3 cm³

Explanation:

Density of the cork = 0.6 g/cm³

Density of water = 1 g/cm³

Volume of cork = 5 cm³

We all know that the formula for density is given as

Density = mass/volume,

The mass of the cork is

Mass = density * volume

Mass = 0.6 * 5

Mass = 3 gram

Given that the density is 0.6, and it is partially floating, then we can say that the volume of the cork below the water is

5 * 0.6 = 3 cm³

The volume of cork is below the water 3 cm³.

Given data:

The density of Cork is,  [tex]\rho = 0.60 \;\rm cm^{3}[/tex].

The density of water is, [tex]\rho_{w} = 1.0 \;\rm g/cm^{3}[/tex].

The total volume of piece of cork is,  [tex]V = 5.0 \;\rm cm^{3}[/tex].

In the given problem, we can use the concept of density. The mass of substance occupied per unit volume is known as Density of substance. The expression for the density is given as,

Density = mass/volume,

And, the mass of the cork is

Mass = density * volume

Mass = 0.6 * 5

Mass = 3 gram

Given that the density is 0.6, and it is partially floating, then we can say that the volume of the cork below the water is,

= 5 * 0.6 = 3 cm³

Thus, we can conclude that the volume of cork is below the water 3 cm³.

learn more about the concept of density here:

https://brainly.com/question/21667661

Answer:

The weight is defined as:

W = m*g

where:

m = mass

g = gravitational acceleration.

We know that in Earth the astronaut weights 190 lb-f (this is force, not mass, the correct unit here is 190 lb*m/s^2)

then:

190 lb*m/s^2 = m*9.8m/s^2

(190 lb*m/s^2)/(9.8m/s^2) = 19.39 lb

Now we know the mass of the astronaut.

a) wieght on the moon in Newtons.

Newtons uses kilograms as the units of mass, then we need to rewrite the mass of the astronaut in kg.

we know that 1lb = 0.454 kg

Then 19.39 lb is equal to: 19.39*0.454 kg = 8.8 kg

We know that the acceleration due to gravity on the Moon is one-sixth that on Earth.

then: g = (9.8m/s^2)/6

And the weight of the astronaut in the moon will be:

W = 8.8 kg*(9.8m/s^2)/6 = 14.37 N

b) The weight on mars, where the acceleration due to gravity is 0.38 times that on Earth, we have:

g = (9.8m/s^2)*0.38

then the weight will be:

W = 8.8kg*(9.8m/s^2)*0.38 = 32.77 N

Answer:

6 Fahrenheit, converted over to Celsius, would be -14.444444

Explanation:

p.e =mgh

given: m=2350g=2.35kg h=20 g=9.8m/s

p.e=mgh

=2.35kg×20.0m×9.8

=460.6j

I am not sure

Explanation:

K.E=1/2mv^2

m=1.5×10^5

v=70

K.E=1/2×1.5×70

K.E=52.5×10^5

Answer:

 Q = 3.33 108 J

Explanation:

This is an exercise in thermodynamics, specifically isobaric work

        W = V ([tex]P_{f}[/tex]- P₀)

They tell us that we have ⅓ of the volume of the container filled with water

        V = ⅓ 100

         V = 33.3 m³

let's calculate

        W = 33.3 (90-100) 10⁶

        W = - 3.33 10⁸ J

To bring the system to its initial condition if we use the first law of thermodynamics

            ΔE  = Q + W

as we return to the initial condition the change of internal energy (ΔE) is zero

          W = -Q

therefore the required heat is

         Q = 3.33 108 J

Answer:

Peninsula

Explanation:

Just did the Ed puzzle and got it right

Explanation:

Using Kinematics,

we have a = (v - u) / t.

Therefore a = (36m/s - 22m/s) / 5s = 2.8m/s².

Answer:

1:36,056,338

Explanation:

First thing we do is convert the diameter of the earth from kilometers into centimeters. Thus, we have

12800 km = 12800 * 100000 cm

12800 km = 1280000000 cm

Then we have diameter of the globe to be 35.5 cm.

To get the scale, what we do is divide the diameter of the earth by that of the globe, and as such we have

1280000000 / 35.5 =

36056338.

Therefore, the scale of the globe is 1:36,056,338

For every 1 cm on the globe, it is 36,056,338 cm or 360.6 km on earth

The scale of this globe is equal to 1 : 36,056,338.

Given the following data:

In Science, a scale can be defined as a ratio of the distance on a map to the actual (corresponding) distance on planet Earth.

A globe refers to a scale model of planet Earth that accurately depicts various geographic information such as distance, circumference, area, etc.

To determine the scale of this globe:

First of all, we would convert the value of Earth diameter in kilometers to centimeters as follow:

Conversion:

1 kilometer = 100,000 centimeter

12,800 kilometer = [tex]12800 \times 10^5 = 128 \times 10^7\;centimeters[/tex]

Now, we can calculate the scale of the globe by using this formula:

[tex]Distance = \frac{Earth\;diameter}{Globe\;diameter}[/tex]

Substituting the given parameters into the formula, we have;

[tex]Distance = \frac{128 \times 10^7}{35.5}[/tex]

Distance = 36,056,338.03 ≈ 36,056,338 centimeters.

Scale = 1 : 36,056,338.

Read more on globe here: https://brainly.com/question/5659485

Answer:

So that vehicles do not topple or skid off the road.

Explanation:

As a vehicle is negotiating a curve, two equal and opposite forces act on the vehicle; centripetal force which keeps it moving and centrifugal force which tends to throw it out of the path.

In order to avoid skidding off the road curved roads are banked. Banking a curved surface provides the centripetal force that points towards the center of the road hence the vehicle or car does not skid off or topple.

Answer:

50000 N

Explanation:

From the question given above, the following data were obtained:

Mass (m) of bullet = 0.050 kg

velocity (v) = 400 m/s

Distance (s) = 0.080 m

Force (F) =?

Next, we shall determine the acceleration of the bullet. This can be obtained as follow:

Initial velocity (u) = 0 m/s

Final velocity (v) = 400 m/s

Distance (s) = 0.080 m

Acceleration (a) =?

v² = u² + 2as

400² = 0 + (2 × a × 0.08)

160000 = 0 + 0.16a

160000 = 0.16a

Divide both side by 0.16

a = 160000 / 0.16

a = 1×10⁶ m/s²

Finally, we shall determine the force exerted by the bullet on the target. This can be obtained as follow:

Mass (m) of bullet = 0.050 kg

Acceleration (a) of bullet = 1×10⁶ m/s²

Force (F) =?

F = ma

F = 0.050 × 1×10⁶

F = 50000 N

Thus, the bullet exerted a force of 50000 N on the target.

Answer:

It will not hit.

Explanation:

In this problem, we need to tell that was the cannonball able to hit its target of 50 meters when the initial velocity was 20 m/s.

When it will hit the target, final velocity, v = 0

Using third equation of motion as follows :

[tex]v^2-u^2=2as[/tex]

Here, a =-g

[tex]s=\dfrac{u^2}{2g}\\\\s=\dfrac{(20)^2}{2\times 9.8}\\\\=20.40\ m[/tex]

The target is in a straight line 50m away on the x-axis. As 50m is far from 20.40 m and that’s why it won’t hit.

Answer:

A. True

Explanation:

Type la supernova can be described as a phenomenon whereby two stars are in orbit with one another .

Recently , two prominent research groups came to the same surprising conclusion after taking measurements of the luminosity of Type Ia supernovae at great distances that the universe is accelerating while it expands.

Answer:

small marble  

Explanation:

A nonpareil are confectionery tiny ball items that are made up of starch and sugar. It is very small of the size of sugar crystal or sand grains. They were the miniature version of the comfits. They are generally opaque white but bow available in all colors.

In the context, if the nucleus is compared to the size of a nonpareil then its atom would be of the size of small size marble. An atom is bigger in size than that of nucleus as the nucleus is located inside the atoms.

Answer:

10m

Explanation:

let's take the acceleration as a constant throughout the complete motion...

therefore first let's find the acceleration

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ 2 = \frac{1}{2} a {1}^{2} \\ a = 4m {s}^{ - 2} [/tex]

then we have to find v1

apply V = u + at

v = 4×1

= 4ms^-1

lets find the distance travel by the object DURING THE TIME INTERVAL 1-2

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ s = 4 \times 1 + \frac{1}{2} \times 4 \times {1}^{2} \\ s= 6m [/tex]

then let's find the V2

[tex] {v}^{2} = {u}^{2} + 2as \\ {v}^{2} = {4 }^{2} + 2 \times 4 \times 6 \\ {v}^{2} = 64 \\ v = \sqrt{64} = 8m {s}^{ - 1} [/tex]

[tex]s = ut + \frac{1}{2} a {t}^{2} \\ s = 8 \times 1 + \frac{1}{2} \times 4 \times {1}^{2} \\ s = 10m [/tex]

The distance traveled by the object during the time interval from t = 2 seconds to t = 3 seconds would be 10 meters, therefore the correct answer is option B.

There are three equations of motion given by  Newton

v = u + at

S = ut + 1/2×a×t²

v² - u² = 2×a×s

As given in the problem, an object released from rest at time t = 0 slides down a frictionless incline a distance of 2 m during the time interval from t=0 seconds to t = 1 seconds.

2 = ut + 1/2*a*t²

2 = 0 + 0.5×a×1²

a = 2 / 0.5

a = 4 meters / second²

Now to find the velocity after the 2 seconds,

v = u + at

v = 0 + 4×2

v = 8 m/s

Now by using the second equation of motion,

S = ut + 1/2×a×t²

S = 8×1 + 0.5×4×1²

S = 8 + 2

S = 10 meters

Thus, The distance traveled by the object during the time interval from t = 2 seconds to t = 3 seconds would be 10 meters, therefore the correct answer is option B.

To learn more about equations of motion here,

brainly.com/question/5955789

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Answer:

The magnitude of the frictional force is 50 newtons.

Explanation:

The frictional force can be found as follows:

[tex] \Sigma F = ma [/tex]

[tex] F - F_{\mu} = ma [/tex]

Where:

F: is the applied force = 50 N

[tex]F_{\mu}[/tex]: is the frictional force

m: is the box's mass

a: is the acceleration

Since the box is pulled at a constant velocity, a = 0, so:

[tex] F - F_{\mu} = 0 [/tex]

[tex] F = F_{\mu} = 50 N [/tex]

Therefore, the magnitude of the frictional force is equal to the applied force, that is to say, 50 newtons.

I hope it helps you!                                                                                

Answer:

dosimetry

Explanation:

dosimetry is the determination of energy imparted to matter by radiation

Answer: It is the color of the container

Explanation:

The red at the bottom is the color of the bottom of the container. It is not part of the experiment and is not liquid.

The red liquid that is part of the experiment does indeed have the lowest density of the liquids which is why it is floating at the top of al the liquids with the only thing floating on top of it being the blue cube which has a lower density than it.

Answer: That is not meant to be red, it‘s the bottom of the beaker. The star is at the very bottom of the beaker. it’s just the base of the beaker.

Answer:

mass =22.4kg

force=83.1N

a=?

f=ma

a=f/m

a=83.1/22.4

a=3.70m/s^2