Which statement is true regarding a distance vs. time graph? (1 point)
O The graph should show distance on the vertical axis.
O The graph can include only straight line segments.
O The graph must have a horizontal segment.
O The graph needs to start at the origin.

The moment of inertia for a disk with mass of 500g and radius of 12cm rotated about its diameter is 7.2 × 10-³kgm².

Moment of inertia is a measure of a rigid body's resistance to change in its angular velocity around a given axis.

The formula for the moment of inertia is the “sum of the product of mass” of each particle with the “square of its distance from the axis of the rotation”. The formula of Moment of Inertia is expressed as follows:

I = mr²

Where;

According to this question, a disk with mass of 500g and radius of 12 cm rotated about its diameter. The moment of inertia can be calculated as follows:

I = 0.5kg × 0.12²m

I = 7.2 × 10-³kgm²

Therefore, 7.2 × 10-³kgm² is the moment of inertia of the disk.

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The x component of the object's velocity is -8 m/s and the y component of the object's velocity at the given time is 7 m/s.

option B is the correct answer

The x and y components of the object's velocity at the given time is calculated as follows;

x = -3t³ - 5t²

y = 4t² + 3

where;'

At the given time, t = 1 second, the  x and y components of the object's velocity is;

x = -3(1)³ - 5(1) = -8

y = 4(1)² + 3 = 7

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The strength of the force exerted on the package by your hand: 101 N

We know v = u+at

v =10.1 m/s

u = 0

t =0.33 s

10.1 = 0+a*0.33

10.1 = a*0.33

a = 30.6 m/s^2

Force exerted F = ma

= 3.3*30.6

= 101

F = 101 N

A force is an effect that can change the motion of an object. Under the influence of a force, an object with mass can change its speed (e.g. move from standstill), i.e. to speed up A force can also be intuitively described  as a push or a pull. A force has both magnitude and direction, so it is a vector quantity. It is measured in  SI units Newton (N). Power is represented by the symbol F (formerly P).

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The work done by friction when a crate of 263 kg slides 3.2 m is 1072.2 J.

Friction is the force that opposes the motion of two bodies in contact.

To calculate the work done by friction, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the work done by friction is 1072.2 J.

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The number of hours that the TV was on is four hours.

We know that is possible to calculate the cost of electricity and this is done when we convert the electricity to  the billing unit that we call the kilowatt hour.

Now we know that;

Power rating of the TV = 200 watt or 0.2 KW

The amount of electricity that was used by the TV in a day = 0.8 KWh

We can now find the number of hours from the relation;

Power rating * time = Energy used

0.2 * t = 0.8

t = 0.8/0.2

t = 4 hours

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The new acceleration would be 5.62162m/s²

Given - acceleration a=8m/s²

As per question force = F/3.7

and mass = m/2.6

To find :- new acceleration α°

Formula: F=ma

Calculation : F/3.7= [mα°]/2.6

Divide these 2 equations

2.6= 3.7(α°/a)

α°= 2.6 x 8 / 3.7

α°=5.62162m/s²

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a point on the circumference travel if the wheel is rotated through angles of 30 rad is 7.8m

4.9 x [tex]10^{7}[/tex] revolutions  if the car travels 80000 km.

The Radius of the tyre = 0.26 m.

Perimeter = 2[tex]\pi r[/tex] =0.52[tex]\pi[/tex]m

When the circle is rotated through an 30rad angle, a point of its circumference travels a distance equal to an 30rad arc of this circle.

a full revolution is 2π rad, then an 30rad angle represents

30/2[tex]\pi[/tex] =15/[tex]\pi[/tex]

15/[tex]\pi[/tex] * .52 [tex]\pi[/tex] = 7.8 m

d =  7.8 m.

the car travels 80000 km

revolutions do the tires = 80000 * [tex]10^{3}[/tex]/ 0.52[tex]\pi[/tex]

=4.9 x [tex]10^{7}[/tex] revolutions.

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The direction of the velocity of the object is 3.6 m/s.

Velocity is the directional pace of an item in motion as an indication of its rate of exchange in the role as determined from a selected frame of reference and as measured by way of a selected standard of time.

Average velocity is defined as the trade in position or displacement (∆x) divided by the time durations (∆t) wherein the displacement takes place. The common velocity can be effective or negative depending upon the sign of the displacement. The SI unit of average velocity is meters per second (m/s or ms-1).

Given;

m = 500g = 0.5 kg

r = 40 cm = 0.4 m

T = 0.7 sec

The perimeter of circular rotation = 2πr

                                                        = 2 ×π (0.4)

                                                        = 2.51 m

Speed = distance traveled / total time taken

          = 2πr/T

          = 2.51/0.7

          = 3.59 m/s

speed = 3.6 m/s

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The velocity of the fluid where the pipe is narrow s 46.36m/s.

The diameter of the larger end of the constriction pipe is 6.5 cm and the diameter of the narrow end of the pipe is 2.7cm.

According to equation of continuity, the volume of the fluid incoming is equal to the volume of the fluid outgoing.

So, we can write,

A₁V₁ = A₂V₂

A₁ and V₁ are the area and speed at the larger end and A₂ and V₂ are area and speed at the narrow end.

Putting values,

π(6.5/2)².8 = π(2.7/2)².V

V = 46.36m/s

The velocity of the fluid where the pipe is narrow is 46.36m/s.

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For a solar mass star, the red-giant phase normally lasts just around a billion years overall, with practically all of that time being spent on the red-giant branch.

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Answer:

sound wave's amplitude relates to the change in pressure caused by the wave measured at a specific location. The sound is perceived as louder if the amplitude increases, and softer if the amplitude decreases.

The applied force is 7.68 × 10³N.

A force that is applied is one that one object applies to one or more other objects. Applied forces have the power to alter an object's shape, size, state of motion, direction of motion, and other properties.

W = 1.3 × 10⁴

v₁ = 0

v (friction) = 84km/h = 23.3 m/s

t = 5s

f = 1500N

Mass of body = W / g

Mass of body = 1.3 × 10⁴ / 9.8

Mass of body = 1327 kg

v(friction) = v + at

23.3 = 5a

a = 4.66 m/s

Force Net = F₁ + F₂ + F₃ = ma

F (engine) = ma + F

F = 1327 (4.66) + 1500

F = 768.382

F = 7.68 × 10³N.

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One way to avoid EMI problems is to use fluorescent lights. Option B.

Fluorescent lights deteriorate quickly especially if they are installed in a place where they are turned on and off frequently. Fluorescent lights shorten their life each time they are turned off and on. This can lead to premature failure and you will end up spending more money replacing bulbs more often.

EMI from fluorescent lighting systems is rare. Designers considering the use of electronic ballasts can greatly reduce the potential for EMI problems with careful planning. EMI is caused by the close relationship between electricity and magnetism. Any flow of electricity creates a small magnetic field. Conversely when the magnetic field moves an electric current is generated.

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If the velocity of the truck is (in the same direction as the car's initial velocity) after the collision, The initial speed of the car is 18.565 km/h.

Let the initial velocity of the car be uc

the truck is parked it implies ut = 0

for a head on elastic collision the final velocities are given by

[tex]vc = - (mt - mc/mt + mc) uc[/tex]

[tex]vt = (2mc/mt + mc)uc[/tex]

Velocity (vt)  = 17 Km/hr

uc = 18.565 Km/hr

In physics, a collision, which is also known as an impact, is the abrupt, violent coming together in close proximity of two bodies, such as two pool cues,  The force and the amount of time the objects are in touch, in addition to the materials the two objects are made of, have an impact on the outcome of the impact. It is generally knowledge that a hard steel ball dropped on a steel plate would rebound almost to the original position from where it was dropped, while a ball made of putty or lead will not.

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With a negative acceleration, the skateboard's beginning velocity will be higher than its end velocity.

The correcty answer is 1

Based on the assumption that the object's energy is conserved, its velocity equals the square root of twice square product of the its acceleration or the distance it travels. This relationship also depends on the object's initial velocity.

When gravity first exerts force on an object, its initial velocity indicates how quickly it moves. The final velocity, on the other hand, is a vector quantity that determines the rate and direction of the a moving body when it has reached its maximum velocity.

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The magnitude of the angular velocity of the merry-go-round is equal to 2.39 rad/s after a 23 kg child gets onto it.

Angular momentum can be described as the rotational form of linear momentum. It is a physical conserved quantity as the total angular momentum remains constant.

Given, the mass of the child m = 23 Kg

The mass of the merry-go-round M = 125 Kg

The initial speed of the merry-go-round, ω₁ = 0.52 rev/s = 3.27 rad/s

The radius, r = 1.8 m

From the conservation of the angular momentum, we can find the angular velocity:

[tex]I_1\omega_1= (I_1+mr^2)\omega[/tex]

[tex](\frac{1}{2} Mr^2)\omega_1= (\frac{1}{2} Mr^2+mr^2)\omega[/tex]

[tex]\omega =\frac{M.\omega_1}{M+2m}[/tex]

[tex]\omega = \frac{125\times 3.27}{125 +2\times23}[/tex]

ω = 2.39 rad/s

Therefore, the magnitude of its angular velocity after a 23 kg child gets onto it by grabbing its outer edge is 2.39 rad/s.

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Your question was incomplete, but the most probably complete question was,

A playground merry-go-round with a mass of 125 Kg and a radius of 1.8 m is rotating with a frequency of 0.52 rev/s. what is the magnitude of its angular velocity, in radians per second, after a 23 kg child gets onto it by grabbing its outer edge? the child is initially at rest.

Answer:

True

Explanation:

because in science work is only said to be done when the body moves through the distance of the force applied

The resistivity rho of the piece of the wire will be 1.60 × 10⁻⁸ Ωm. So, the material is copper wire.

Copper is the electrical conductor in many categories of electrical wiring. Copper wire is used in power generation, power transmission, power distribution for telecommunications, electronics circuitry, and countless types of electrical equipment.

The resistivity of a material is the resistance of a wire of that material of unit length and unit area of cross-section. Its S.I. unit is ohm-metre.

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Answer:

280 N

Explanation:

Remember   F = ma

F = 2000  *  .14   = 280 N

Velocity and acceleration are vector quantities whereas speed, temperature and age are not.

Vector is a quantity that has both magnitude and direction and is represented by an arrow whose direction is same as that of the quantity and length is proportional to the quantity's magnitude.

Vector has magnitude and direction but it does not have position. Velocity and acceleration both are vector quantities as they have magnitude and direction.

If the speed of an object remains same but direction changes then the object is accelerating. It is important to remember that acceleration and velocity aren't always in the same direction.

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The time taken by the ball is 0.30s.

We know that the horizontal velocity has to do with the speed of the object has it moves along a horizontal path. In this case, we can see that the ball is thrown horizontally with a velocity of 12m / s. We have also been told in this question as we have it here to assume that there was no air resistance that is involved.

Thus we have;

Horizontal speed of the ball =  12m / s

Distance covered by the ball =  3.5 m

Let us see that;

V = s/t

V = speed

s = distance

t = time

t = s/V

We should now have;

t = 3.5 m/12 m/s

t = 0.30s

We can now see that the time that t would take the ball to hit the ground is 0.30 seconds of time.

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Answer:

Explanation:

Given:

Vₓ = 12 m/s

H = 3.5 m

g = 9.8 m/s²

__________

t - ?

According to the principle of independence of motion, we find the fall time from the formula:

H = g·t²/ 2

t = √ (2·H / g)

t = √ (2·3.5 / 9.8 ) ≈ 0.85 s

Correct answer:

C.  0.85 s

The maximum height travelled by the ball before returning to the ground is 8.62 m.

The maximum height travelled by the ball before returning to the ground is calculated by applying the following kinematic equation as shown below.

H = (u²sin²θ) / 2g

where;

H = (26² (sin 30)²) / (2 x 9.8)

H = 8.62 m

Thus, the maximum height travelled by a projectile depends on the initial velocity and angle of projection.

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An example of  supplementary light source that you might bring to a photo shoot as a photographer is a : separate flashlight.

The flash is very important in photography because it acts as a second light source. It fills in areas where the image is underexposed due to the metering mode of camera prioritizing a different part of the frame, such as the sun in the photo below.

Professional photographers use a flash light frequently, although not the pop up flash on the camera. Photographers generally use an off camera strobe. Common reason to use flash unit is low-light indoor environments.

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4.80m is the far of the recipients must goods dropped.

The speed of an object is the rate at which it moves through space. A slow-moving object travels a relatively short distance in a given amount of time, whereas a fast-moving object travels a long distance in a short amount of time.

A)Since we are aware that the plane's vertical speed is zero

In this instance, the mass is dropped with no beginning speed.

thus, we will

y=1/2gt²

235=1/2(9.81)t²

t=6.92s

Consequently, it is given as the horizontal distance it moved.

d=vt

d=(69.4)(6.92)

d=480.4m

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The best suitable answer is Option 4 " The driver experienced centrifugal "force" which was actually just his inertia .

What is centrifugal force ?

A hypothetical force called centrifugal force, which is unique to particles travelling in a circle, is a force that has the same strength and dimensions as the centripetal force, but acts in the opposite direction.

A stone rotating in a horizontal plane while attached to a string that is fastened to a ground-based post experiences a constant change in velocity and acceleration in the direction of the post. The square of the speed divided by the length of the string gives us the acceleration.

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the final velocity of the hot air balloon before touching the ground is  286.16 ft/s.

the final velocity can be calculated as follows:

initial velocity of the sphere, u = 10 ft/s

Acceleration due to gravity, g = 32 ft/s²

Ground clearance, h = 1280 feet

The time it takes for the ball to hit the ground is calculated as:

[tex]h= ut +\frac{1}{2}gt^2\\ 1280= 10t + (0.5X 32 )t^2\\1280 = 10t +16t^2\\16t^2+ 10t-960 = 0[/tex]

then we can solve the quadratic equation using formula method

[tex]t=\frac{ -b+/- \sqrt{b^2-4ac} }{2a} \\t = \frac{ -10+/- \sqrt{10^2-4(16X1280)} }{2(16)}\\t= 8.63[/tex]

The final velocity of a hot air balloon is calculated as:

v = u + gt

v = 10 + (8.63 × 32)

v = 286.16 ft/sec

therefore, the final velocity of the hot air balloon before touching the ground is  286.16 ft/s.

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Astronomers have examined rich clusters of galaxies with their instruments, They have found that these clusters have giant elliptical galaxies than poor clusters

Elliptical galaxies are the most abundant type of galaxies found in the universe but because of their age and dim qualities, they're frequently outshone by younger, brighter collections of stars.

Elliptical galaxies lack the swirling arms of their more well-known siblings, spiral galaxies. Instead, they bear the rounded shape of an ellipse, a stretched-out circle.

One of the most famous elliptical galaxies is Cygnus A, which is located roughly 600 million light-years from Earth and is an extremely bright radio source. Cygnus A is not only well-known to astronomers, but has a place in science fiction; it was featured in the 1985 novel "Contact," a Carl Sagan story that later inspired a Hollywood movie of the same name.

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Neutrinos generated in the core of the sun travel to the surface so quickly, compared to gamma ray photons because they don't interact with electromagnetic forces.

Neutrinos are neutral, massless particles. Because of their lack of mass, neutrinos can travel through space faster than photons. They have no electric charge, so they don't interact with electromagnetic forces. They also have no strong interactions and only weak ones, which means they can pass through matter without interacting with it at all.

Gamma rays are another type of radiation that originates from nuclear reactions in stars like our sun. however, photons are affected by gravity and other forces just like any other particle would be when moving at these speeds. They're also absorbed by matter much more readily than neutrinos are because they do interact electromagnetically with other particles around them.

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The speed of the longitudinal wave is 1.584 or approximately 1.6 meters per second.

Longitudinal waves are waves in which the medium's vibration is parallel to the wave's travel direction and the medium's displacement is in the same direction as the wave's propagation.

Sound waves are one example of longitudinal waves. Waves of ultrasound P-waves from earthquakes

A longitudinal wave's key features include compression, rarefaction, wavelength, amplitude, period, and frequency.

To calculate the above answer multiply wavelength by frequency to get the speed of a wave.

That is:

2.4 x 0.66

= 1.584

Where the frequency is not given beforehand, you can divide 6 crests by 9.1 seconds to determine the frequency.

Hence, the speed of the longitudinal wave is 1.584 which is approximately 1.6.

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