The calculation of kinetic energy uses the formula, KE = 1 2 mv2. Identify the unit that is required for mass and velocity, respectively, to determine the kinetic energy in Joules. A) mass in g, velocity in m s B) mass in kg, velocity in m s C) mass in g, velocity in km hr D) mass in kg, velocity in km hr

Answer:

- approximately 5 half lives

- 28,650 years ago

Explanation:

After 1 half life:

50% gone, total gone = 50% and the amount that is left = 50%

After 2 half lives:

25% gone, total gone = 50 + 25 = 75% and the amount that is left = 25%

After 3 half lives:

12.5% gone, total gone = 87.5% and the amount that is left = 12.5%

After 4 half lives:

6.25% gone, total gone = 93.75% and the amount that is left = 6.25%

After 5 half lives:

3.125% gone, total gone = 96.875% and the amount that is left = 3.125%

Therefore, we can say that nearly 5 half-lives have occurred and the animal died approximately (5 x 5730 = ) 28,650 years ago.

Answer: 5

28,650

Explanation:

Since in the given FBD we can see there are four forces on it

There are two horizontal forces on it which are equal and opposite to each other so it is balanced in horizontal direction

And as per given FBD we can also see there are two vertical forces in which vertically upward force will be more than the vertically downward force

So here we have to choose such situation where four forces are acting on it and out of which two horizontal forces must be balanced

so in case

1. An elevator accelerating upwards as it goes up

there is no horizontal force on it so this is not possible

2. A rocket blasting off

there is only gravitational forces on it as an external force so it is also not possible

3. ball accelerating as if falls off a cliff

there is again only gravitational force on it so it is also not possible

So the correct answer will be

A person skydiving with an open parachute  

v₀ = initial velocity antelope through the grasslands = 2 m/s

a = acceleration of the antelope = 4 m/s²

t = time for which the antelope accelerate = 7 seconds

v = final velocity of antelope = ?

using the kinematics equation

v = v₀ + a t

inserting the above values in the above equation

v = 2 + (4) (7)

v = 2 + 28

v = 30 m/s

hence the correct choice comes out to be

D. 30 m/s

Final answer:

The antelope's final velocity after accelerating for 7 seconds is calculated using the formula for final velocity, giving a result of 30 m/s. Option D is the correct answer.

Explanation:

To calculate the antelope's final velocity after accelerating for 7 seconds, we use the formula for final velocity v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.

In this scenario, the antelope's initial velocity (u) is 2 m/s, its acceleration (a) is 4 m/s2, and the time (t) is 7 seconds. Plugging these values into the formula, we get:

v = 2 m/s + (4 m/s2 × 7 s) = 2 m/s + 28 m/s = 30 m/s.

Therefore, the antelope's final velocity after 7 seconds is 30 m/s, making option D the correct answer.

I'm not sure but I think the most reasonable would be C or B but again im not sure.

Final answer:

Denver, Colorado has the most continentality, as it is located away from the ocean and at a higher altitude, which leads to greater temperature ranges and a Type D climate.

Explanation:

The concept of continentality relates to the climate characteristics of an area, especially the range of temperatures, and is connected to how far an area is from the influence of the sea. Factors that influence continentality include proximity to large bodies of water and latitude. Based on these factors, Denver, Colorado would have the most continentality among the options given. Los Angeles and San Francisco have moderate Type C climates with oceanic influence that reduces temperature extremes. New York experiences some continentality but is still influenced by the Atlantic Ocean. In contrast, Denver is far from any large body of water and is located at a higher altitude in the interior of the continent, resulting in greater temperature ranges and a more pronounced Type D (cold or continental) climate.

The answer is; C

A calorie is  a unit of energy used to describe the energy required to raise the temperature of one gram of water by one degree at an ambient pressure of 1 atmosphere. This SI unit has gained popularity in its use in nutrition where the energy in a particular type of food (carbohydrates, proteins, and fats) is measured in calories.

They collect and analyze data from the objects' electromagnetic radiation.

Answer:

[tex]7.00 \cdot 10^{-7} m - 1\cdot 10^{-3} m[/tex]

Explanation:

Infrared radiation has wavelength in the range between 700 nm and 1 mm. Lets' convert these values into scientific notation, keeping in mind that:

[tex]1 nm = 10^{-9} m\\1 mm = 10^{-3} m[/tex]

Let's start from the lower value, we have:

[tex]700 nm = 700 \cdot 10^{-9} m = 7.00 \cdot 10^{-7} m[/tex] (we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

The higher value is:

[tex]1 mm = 1 \cdot 10^{-3} m[/tex]

So, the range of wavelength of infrared radiation is:

[tex]7.00 \cdot 10^{-7} m - 1\cdot 10^{-3} m[/tex]

Given that,

mass of ball , m =11 lbs

Time , t = 1.0 seconds

Acceleration , a = 9.8 m/s²

Distance , s = ?

Since, we know that,

S = Vi *t + 1/2 at²

Since initial velocity is zero in this case (ball was at state of rest before falling to the ground)

S = 1/2 *9.8 * (1)²

S = 4.9 m

The distance covered by ball after one second will be 4.9 m.

Answer: 11760 N

Weight = Mass × Acceleration = Mass × Gravity

Mass = 1200kg

Gravity = 9.8 m/s^2  (the negative sign denotes direction)

Weight = 1200kg × 9.8 m/s^2 = 11760 kg×m/s^2 = 11760 Newtons

To calculate the weight of a Hippogriff with a mass of 1200 kg, we use the formula w = mg, where m is mass and g is the acceleration due to gravity, 9.8 m/s², resulting in a weight of 11,760 N.

The question asks for the weight of a Hippogriff at Hogwarts, given its mass is 1200 kg and considering the acceleration due to gravity is 9.8 m/s2. To find the weight, we use the formula w = mg, where m is the mass of the Hippogriff and g is the acceleration due to gravity.

Plugging in the given values, we get:

w = (1200 kg)(9.8 m/s2)

Therefore, the weight of the Hippogriff is 11,760 N (Newtons).

The acceleration due to gravity is a constant on Earth, which is about 9.80 m/s2. This value is a critical component in calculating the weight of any object, including mythical creatures in imaginative contexts like Hogwarts. Remember, while mass is a measure of how much 'stuff' there is, weight measures the force of gravity on that 'stuff'.

Try this solution:

1. rule for this type of movement:

[tex]S=v_0t+\frac{at^2}{2}, \ where \ a-acceleration,S-distance,v-startSpeed,t-time.[/tex]

2. according to the rule described above:

[tex]S=0+\frac{7.4*2^2}{2}=7.4*2=14.8(m)[/tex]

answer: 14.8 meters.

P=RI²=>I=√(P/R)=√(14/2)=√7=2,6 A

The correct answer is C

The current in the circuit is 2.6 ampere.

To find the current, the given values are,

Resistance, R = 2 ohms

Power P = 14 Watts

         P = IV Watts

         V = IR

Thus,   P = I . IR

           P = I²R watts

I - current in ampere

R- Resistance in ohms

Solving this for the current (I)

I = [tex]\sqrt{Power/Distance}[/tex] Ampere

I = [tex]\sqrt{14/2}[/tex]

I = [tex]\sqrt{7}[/tex]

I = 2.6 Ampere.

Thus, the current is found as 2.6 Ampere.

Hence, Option C is the correct answer.

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-ZERO-   No 17.6 pound Earth-bound cat is going to be able to jump to the top of a 6 feet 7 inch bookshelf unassisted!  Someone should call the SPCA on the writer of this textbook question ;-)

Assuming that this overweight cat is content being placed in such a lofty position, your professor probably wants the answer of 156.8 Joules

Mass x  Acceleration of Gravity (on Earth) x elevation = Potential Energy

8 Kg x 9.8 m/s2  x 2 m  = 156.8 J

Answer:

45.9 m

Explanation:

We can solve the problem by using the law of conservation of energy. In fact, the mechanical energy (sum of gravitational potential energy and kinetic energy) of the ball just after it is thrown is equal to the mechanical energy of the ball when it is at the top of its trajectory:

[tex]E_i = E_f\\U_i + K_i = U_f + K_f[/tex]

where

[tex]U_i = 0[/tex] is the initial gravitational potential energy of the ball, which is zero because the ball starts its motion from the ground (h=0)

[tex]K_i = \frac{1}{2}mv^2[/tex] is the initial kinetic energy of the ball, where m is the mass of the ball and v=30.0 m/s is its speed

[tex]U_f = mgh[/tex] is the gravitational potential energy of the ball at its maximum height h

[tex]K_f = 0[/tex] is the kinetic energy of the ball when it is at the maximum height (it is zero because the speed of the ball at its maximum height is zero)

Substituting into the first equation, we can find h:

[tex]\frac{1}{2}mv^2 = mgh\\h=\frac{v^2}{2g}=\frac{(30.0 m/s)^2}{2(9.8 m/s^2)}=45.9 m[/tex]

Answer: The force with which moon attracts Ellen is same as the force with which Ellen attracts Moon.

Explanation:

Gravitational force is attractive in nature. Any two bodies having mass pull each other with a force proportional to their masses and inversely proportional to square of distance between them.

[tex]F= G \frac {Mm}{d^2}[/tex]

where G is the gravitational constant.

Force with which Ellen and Moon pull each other:

[tex]F = 6.67 \times 10^{-11} N m^2/kg^2\times \frac{7.35 \times 10^{22} \times 47 kg}{(3.84 \times 10^8 m)^2} = 1.56\times 10^{-3} N[/tex]

From Newton's third law, every action has an equal and opposite reaction. The action-reaction pair act on different bodies.

Hence, the force with which moon attracts Ellen is equal to the force with which Ellen attracts Moon.

Final answer:

To find the speed of a satellite orbiting the Earth 1000 km above its surface, you can use the formula for orbital speed, v = √(GM/r), where G is the gravitational constant, M is the mass of the Earth, and r is the radius of the orbit.

Explanation:

To find the speed of a satellite orbiting the Earth 1000 km above its surface, we can use the formula for orbital speed. The orbital speed is given by the equation v = √(GM/r), where G is the gravitational constant, M is the mass of the Earth, and r is the radius of the orbit. In this case, the radius of the orbit is the sum of the radius of the Earth and the altitude above the surface.

Plugging in the values, we have v = √((6.67430 × 10^-11)(5.98 × 10^14)/((6371000 + 1000000) × 10^3)). Evaluating this expression gives us the speed of the satellite orbiting the Earth 1000 km above its surface.

We can determine the final velocity via the following kinematic equation:

[tex]v_{final}^2=v_{initial}^2+2a \Delta x[/tex]

Since the sprinter starts at rest this means the initial velocity is zero, a = 1.5 m/s^2 and the difference of x is 20 meters therefore:

[tex]v_{final}^2=0^2+2(1.5m/s^2)(20)\\\\v_{final}^2=60\\\\v_{final}=\sqrt{60}\\v_{final} \approx 7.75 m/s[/tex]

The final velocity is 7.75 m/s

Answer:

70.0 kg

Explanation:

L = mvr

You are solving for m so you change the equation to equal m

m = (L)/vr

m = (3570)/(17)(3)

m = 3570/51

m = 70

His mass is 70 kg.

The angular momentum of a rotating object is the product of the mass, its velocity and the radius of ride. The mass of the rotor which is rotating with the velocity of 17 m/s with an angular momentum of 3570 Kg m²/s is 70 Kg.

Angular momentum of an object is the product of its mass and velocity of rotation. This is the rotational analogue of linear momentum where linear momentum multiplied by the radius of rotational axis is equal to the angular momentum.

It is given that the, angular momentum L is 3570 Kg m²/s and velocity of the rotor riding through 3 meter axis is 17 m/s. Thus the mass of the object can be calculated as follows:

L = m v r

m = L/v r

   = 3570 Kg m²/s / (17 m/s × 3 m)

   = 70 Kg.

Therefore, the mass of the rotor is 70 Kg.

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The combination of water and gases in the air forming acids leads to the chemical weathering of rocks, where acids dissolve or alter the chemical composition of the rocks, following option A.

When water combines with gases in the air to form acids, the chemical composition of rocks can be significantly altered. Acid rain, which is a byproduct of industrial pollutants mixing with atmospheric moisture, leads to increased chemical weathering of rocks. This weathering is a process where the minerals in rocks react with the acids and experience changes such as oxidation or dissolving.

Carbon dioxide (CO₂) naturally reacts with rainwater to form carbonic acid, which is a weaker form of acid that also contributes to the weathering of rocks by dissolving them over time.

However, pollutants from burning fossil fuels add gases like nitrous oxide and sulfur dioxide to the atmosphere, which combine with rainwater to form more potent acids such as nitric and sulfuric acids, enhancing the weathering process. These acids do not solidify rock particles, form protective coatings, or create cracks for air circulation but instead actively dissolve or alter the rocks' chemical makeup, which aligns with option A.

Answer:

- Half-life of several days

- Emission of gamma rays

- Ability to be attached to a compound used by the body

Or

2,4,6

Explanation: Those are the answers on Edgnuity,

The quality which are desirable for a radioisotope that is used for medical imaging of a specific organ is Half-life of several days, Emission of gamma rays, Ability to be attached to a compound used by the body.

a chemical element in an unstable state that emits radiation as it decomposes and becomes more stable. Radioisotopes can be created in a lab or in the natural world. They are utilised in imaging studies and therapy in medicine. likewise known as radionuclide.

In nuclear reactors, cyclotrons, particle accelerators, or radionuclide generators, radionuclides can be generated artificially or naturally. About 730 radionuclides (see list of nuclides) have half-lives that are greater than 60 minutes. Of those, 32 are primordial radionuclides, which were produced prior to the formation of the earth. There are at least 60 more radionuclides that may be found in nature, either as offspring of the original radionuclides or as radionuclides created naturally on Earth by cosmic radiation. Half-lives of more than 2400 radionuclides are shorter than 60 minutes.

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Answer:

Volume of head = 1000 cm^3

Explanation:

 The head of a normal person can be assumed as a sphere with radius 10 cm.

 Volume of sphere[tex]=\frac{4}{3} \pi r^3[/tex], where r is the radius.

 We have approximate radius = 10 cm.

  Approximate volume of head [tex]=\frac{4}{3}* \pi *10^3=4189 cm^3[/tex]

 In the given options the closest value to the approximate volume is 1000 cm^3.

 So, volume of head = 1000 cm^3

Not all points on a solid wheel rotating around a fixed axis have the same tangential speed; points farther from the axis move faster. Tangential speed increases with radius if angular speed is constant. Tangential acceleration can alter the speed in circular motion without changing the direction.

When a solid wheel rotates about a fixed axis, not all points of the wheel have the same tangential speed. The tangential speed of a point on a rotating object is given by the product of the radius of the path of the point and the angular velocity of the wheel. Therefore, points on the wheel that are farther from the axis of rotation have a higher tangential speed than points closer to the axis.

As for the GRASP CHECK question, the correct answer is:
b. Yes, because tangential speed depends on the radius.
This means that if the radius of the path increases while the angular speed remains constant, the tangential speed will increase as well because tangential speed is directly proportional to the radius.

Tangential acceleration can change the speed of a particle undergoing circular motion without changing the direction of the velocity. This occurs when a rotating object changes its spin rate, introducing a tangential acceleration in the direction tangent to the circle.

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Answer:

A.

Explanation:

I did the Quiz and got it correct. Hope it helps!!!!

The correct answer is D) 117.6 N

Use the formula F = ma, F = (98)(1.2) = 117.6 N.

please give me the brainliest

Final answer:

The unbalanced force required to produce the movement of a 98 kg man accelerating at 1.2 m/s² is calculated using Newton's second law of motion (F=ma), which results in a force of 117.6 N. So the correct option is D.

Explanation:

To determine the unbalanced force necessary to produce the movement of a 98 kilogram man accelerating forward at a rate of 1.2 m/s², we can use Newton's second law of motion, which states that force equals mass times acceleration (F = ma).

Given:
- Mass (m) = 98 kg
- Acceleration (a) = 1.2 m/s²

Force (F) = m × a
Force (F) = 98 kg × 1.2 m/s²
Force (F) = 117.6 N

Therefore, the correct answer is D) 117.6 N.

Correct answer id option C that is tropical.

Tropical Climate is characterized by constant high temperature at sea level with an average temperature of 18°C or higher and is found near the equator.

Areas with tropical climate have high humidity and temperature. Countries in tropical region have high precipitation rate. Tropical climate is also known as equatorial climate. Tropical regions are found near equator. Due to high convection rate, there is abundant rainfall.

Answer:

c. tropical

Explanation:

Tropical Climate is characterized by constant high temperature at sea level with an average temperature of 18°C or higher and is found near the equator.

Areas with tropical climate have high humidity and temperature. Countries in tropical region have high precipitation rate. Tropical climate is also known as equatorial climate. Tropical regions are found near equator. Due to high convection rate, there is abundant rainfall.

I think the frequency of the wave has no effect whatsoever on the wave speed.  The speed of a wave completely depends on the characteristics of the medium it's traveling through.  

Physical properties of the medium determine the speed of mechanical waves, like sound, ocean waves, seismic waves, Slinky waves etc.  If it depended on the frequency of the waves, then the sound of the band or orchestra would be all smeared out when it reaches you ... you'd hear the drums and bass first, and the flutes and trumpets last.

Electrical properties of the medium determine the speed of electromagnetic waves, like radio, light, and X-rays. If it depended on the frequency of the waves, then you couldn't watch a football game in the stadium or on TV.  The reds, oranges, and yellows would reach your eyes first, and then the greens, blues, and violets would arrive later.  The action would be all smeared out, and things that happened first might reach  your eyes last.  What a mess !

Answer:

it has no affect at all .. doesnt change

Explanation:

Power = (work done) / (time to do the work)

Work done = (force) x (distance)

Force = (weight of the crate) = (mass of the crate) x (gravity)

Crate weight = (100 kg) x (9.8 m/s²)

Force = 980 Newtons

Work done = (980 N) x (2 m) = 1,960 Joules

Power = (1,960 Joules) / (4 seconds)

Power = 490 Joules per second

(Whoever wrote the question used 10 m/s² for gravity instead of 9.8 m/s², so his answer came out to be 500 W.  That's choice-B .)

Power = 490 watts

To calculate the power required to lift an object we use the formula for power which is work/time. In order to find the work done we use the formula work = mass * gravity * height. In this case the power required to lift the 100 kg crate a vertical distance of 2m in 4s is 490 W.

The scientific concept this question is referring to is power, which in the realm of physics, is the amount of work done (or energy transferred) per unit time. The formula for power is work/time, and work can be calculated by multiplying force and distance. In this case, the force would be equivalent to the weight of the crate, calculated by multiplying its mass by gravity (9.8 m/s^2).

So, first, we calculate the work done in lifting the crate to a height of 2m using the formula m*g*h where m = 100kg, g = 9.8 m/s^2 and h = 2m.

Work = 100kg * 9.8m/s^2 * 2m = 1960 Joules

Then we calculate the power used using the formula work/time which becomes 1960 J / 4 s = 490 W. Hence, the power required to lift the crate is 490 W which isn't an option in the choices provided in the question. There might be a mistake in the question or in the provided choices.

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Using the kinematic equation below we can determine the distance traveled if t=2, a=7.4m/s^2.  First we must determine the final velocity:

[tex]v_{final}=v_{initial}+\frac{1}{2}at\\\\v_{final}=0+(7.4m/s^2)(2s)=34.8m/s[/tex]

Now we will determine the distance traveled:

[tex]v_{final}^2=v_{initial}^2+2a \Delta x\\\\\Delta x = \frac{v_{final}^2}{2a} =\frac{(34.8)^2}{(2)(7.4)}=81.83 m[/tex]

Therefore, the drag racer traveled 81.83 meters in 2 seconds.

We have that When A drag racer starts from rest and accelerates at 7.4 m/s the distance travelled in 2.0 seconds is

S=14.8m

From the question we are told

A drag racer starts from rest and accelerates at 7.4 m/s2. How far will he travel in 2.0 seconds?

Generally the equation for the Distance  is mathematically given as

[tex]s=ut+1/2at^2\\\\Where\\\\Accelerates at 7.4 m/s2\\\\U=0\\\\T=2.0\\\\[/tex]

Hence

S=0+1/2(7.4)(2)^2

S=14.8m

Therefore

When A drag racer starts from rest and accelerates at 7.4 m/s the distance travelled in 2.0 seconds is

S=14.8m

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The torque about axis a due to the applied force [tex]\vec{F}[/tex] results in a rotational effect is [tex]\tau_a = (-1, 1, 0) \, \text{N·m}.[/tex]

To calculate the torque [tex]\tau_a[/tex] about axis a due to the force [tex]\vec{F}[/tex], we follow certain steps. Torque is a measure of how much a force acting on an object causes that object to rotate. It depends on two main factors: the magnitude of the force and the distance from the pivot point to the line of action of the force (the lever arm).

Identify the Parameters: In this scenario, we have:

Determine the Components: We want to calculate torque about the axis a, which we'll assume is one of the coordinate axes. Let's consider the torque about the z-axis for this example. The relevant components are those that lie in the xy-plane since the z-axis is perpendicular to this plane.

Calculate the Torque Using Cross-Product: The torque [tex]\tau[/tex] about the z-axis can be calculated using the cross product of the position vector [tex]\vec{r}[/tex] and the force vector [tex]\vec{F}[/tex]. The torque is given by:
[tex]\tau = \vec{r} \times \vec{F} = \begin{vmatrix} \vec{i} & \vec{j} & \vec{k} \\ 1 & 1 & -1 \\ 2 & 2 & -3 \end{vmatrix}.[/tex]

Calculate the Determinant: To compute this determinant:
[tex]\tau = \vec{i}(1 \cdot (-3) - (-1) \cdot 2) - \vec{j}(1 \cdot (-3) - (-1) \cdot 2) + \vec{k}(1 \cdot 2 - 1 \cdot 2).[/tex]
This results in:
[tex]\tau = \vec{i}(-3 + 2) - \vec{j}(-3 + 2) + \vec{k}(2 - 2)[/tex]
[tex]\tau = \vec{i}(-1) - \vec{j}(-1) + \vec{k}(0) = -\vec{i} + \vec{j}.[/tex]

torque about axis a is:
[tex]\tau_a = -\vec{i} + \vec{j}.[/tex]

Final Expression: In Cartesian coordinates, we can express this torque as:
[tex]\tau_a = (-1, 1, 0) \, \text{N·m}.[/tex]

(1) Doubling of the current through the wire will result in doubling of its magnetic  field.

The magnetic field around a wire is a function of the current I and radial distance r

[tex]B = \frac{\mu\cdot I }{2\pi r}[/tex]

(with mu denoting the magnetic permeability of the medium). So, B is directly proportional to I. The field magnitude will double with the doubled current from 5A to 10A

(2) Using the same formula as in (1), we can see that the magnetic field is inversely proportional to the radial distance from the wire. So, a particle at 20cm will experience half the magnitude compared to a particle at 10cm.

(3) Answer

If a particle with a charge q  moves through a magnetic field B with velocity v, it will be acted on by the magnetic force

[tex]F_m = B\cdot v\cdot q[/tex]

So, a particle with charge -2uC will experience a magnetic force of same magnitude but opposite direction (and perpendicular to B) as compared to a particle with a charge of 2uC

If the current in a wire increases from 5 A to 10 A, the magnetic field will double.

If the distance of a charged particle from a wire changes from 10 cm to 20 cm, the magnetic field will be halved.

If the charge of a particle changes from 2 µC to –2µC, the magnitude of the force will be the same but the direction will be different

The given parameters:

The magnetic field around a wire is a function of the current I and radial distance r, given as;

[tex]B = \frac{\mu_o I}{2\pi r} [/tex]

Thus, we can conclude the following;

The force exerted on a particle is calculated as follows;

F = qVB

where;

q is the charge'

If the charge of a particle changes from 2 µC to –2µC, the magnitude of the force will be the same but the direction will be different.

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