A 2400-kg car is moving at 20 m/s when it slams on the brakes and skids to a stop with a leftward acceleration
of 7 m/s/s.

Answer:

a) 102 meters

b) 14 meters

c) The direction is eastward.

Explanation:

Distance is said to be the length between two points. It is a scalar quantity.

a) The distance moved = 36 + 44 + 22

                                       = 102 meters

b) Displacement is the distance moved in a specified direction.

Representing the distance moved with specific direction as a directed number, 36 meters eastward = +36, 44 meters westward = -44, and 22 meters eastward = +22

/Displacement/ = +36 -44 +22

                         = +58-44

                         = 14

The magnitude of the displacement is 14 meters.

c) The direction is eastward.

So that the magnitude of displacement and his direction is 14 meters eastward.

Answer:

a 15.6voltz

i Hope this helps

The sun has a mass of 1.9891 x 10^30 kg. The planet's orbital speed causes the earth to orbit the sun in an approximately circular orbit with a radius of 1.50*10^11m once every year.

A essential quality of a body is its mass. It was widely believed to be connected to the volume of matter in a physical body before to the atom's discovery and the development of particle physics. Theoretically, the same chemical might be included in different atoms and elementary particles. In celestial physics, an orbit is a curved path. Orbital velocity equals (9.424 x 1011 m)/31536000 s orbital velocity is 29883.307 m/s.

The Earth's orbital speed is therefore 29883.307 m/s.

There are 1.9891 x 10^30 kilogrammes in the sun.

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Answer:

B

Explanation:

Answer: The connection between the two is that potential energy transforms into kinetic energy.

Explanation:

Answer:

3. you need to ask your available lab instructors what to do.

4. You immediately have to drop down your cloth and roll it to extinguish the fire or move to the emergency shower if available

5. You have too keep calm and report to the lab instructor but do no shout.

6. Move immediately to the eye rinse basin if available and wash your eyes gently and thoroughly

According to the question the speed of pulse is = 0.33m/s

Velocity is the pace and direction of either an object's movement, whereas speed is now the time rate which an object is travelling along a path. In other words, velocity is a vector, whereas speed would be a scalar value. If you determine how far an object travels in a certain amount of time, you can calculate its speed.For instance, an automobile is moving at a pace of 70 miles per hour if it covers 70 miles in an hour .

The equation for speed can be obtained by simply dividing time by distance.

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Answer:

element name = neon

no of proton = 10

no. if neutron = 9

atomic no. = 10

atomic weight = 20.17179u

it lies in group 18 and period 2

it is nonmetal because it is a noble gas .

hope this helped you ☺️

Answer:

4. The choose b. 0.000355

Ans; 3.55× 10-⁴ = 0.000355

5. The choose C. 80600

Ans; 8.06 ×10⁴= 806×10² = 80600

I hope I helped you^_^

Mass is conserved in a reaction if the of the initial reactant masses equals the of the masses of products

The law of conservation of mass is a fundamental principle in chemistry that states that the total mass of a closed system remains constant during a chemical reaction. This means that the mass of the reactants before a chemical reaction is equal to the mass of the products after the reaction.

The mass of the reactants before the reaction is equal to the mass of the products after the reaction. This confirms that the law of conservation of mass holds true for this chemical reaction.

This principle is essential in chemistry as it allows us to make predictions about the outcome of a reaction based on the starting materials. It also helps to ensure the accuracy of experimental measurements, as any discrepancy between the expected and observed masses can indicate an error in the experiment.

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Answer:

Density is directly proportional to pressure

Explanation:

As pressure increases (with constant temperature), density also increases.

Density is inversely proportional to temperature.

Answer:25

Explanation:

Formula(77°F − 32) × 5/9 = 25°C

Answer: The answer is C. 298 K

Explanation:

In order to design a spring-launched roller coaster that will carry two passengers per car,  a spring constant of approximately 4255.78 N/m is needed for the roller coaster to be safe.

Several factors must be taken into consideration. The car must go up a 10-m-high hill and then descend 15 m to the track's lowest point. The maximum amount the spring can be compressed is 2.2 m, and a loaded car will have a maximum mass of 440 kg. Additionally, for safety reasons, the spring constant should be 11% larger than the minimum needed for the car to just make it over the top.

To determine the spring constant needed for the roller coaster, we can use the following formula:

U = (1/2)kx²where U is the potential energy of the spring, k is the spring constant, and x is the distance the spring is compressed. To find the minimum spring constant needed for the car to just make it over the top of the hill, we can set the potential energy of the spring equal to the potential energy of the car at the top of the hill:

U = mgh, where m is the mass of the car, g is the acceleration due to gravity, and h is the height of the hill.

U = (1/2)kx²mgh

= (1/2)kx²k = 2mgh/x²

Plugging in the given values, we get: k = 2(440 kg)(9.81 m/s²)(10 m)/(2.2 m)²k ≈ 3831.64 N/m. To find the spring constant needed for safety reasons, we can multiply the minimum spring constant by 1.11:k' = 1.11k' ≈ 4255.78 N/m

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a. The stone is at a height of 719 feet 2 seconds after it is thrown.

b. The stone hits the ground at approximately 9.656 seconds after it is thrown.

c. The velocity of the stone when it hits the ground is approximately -311.712 feet per second (which means it is moving downwards)

a. To find the height of the stone 2 seconds later, we can use the following kinematic equation

h(t) = h(0) + v(0)t + (1/2)at^2

where h(t) is the height of the stone at time t, h(0) is the initial height (775 feet), v(0) is the initial velocity (20 feet per second), a is the acceleration due to gravity (-32 feet per second squared), and t is the time.

Plugging in the values, we get

h(2) = 775 + 20(2) + (1/2)(-32)(2)^2

h(2) = 719 feet

Therefore, the stone is at a height of 719 feet 2 seconds after it is thrown.

b. To find the time at which the stone hits the ground, we can use the same kinematic equation

h(t) = h(0) + v(0)t + (1/2)at^2

But this time, we want to find the time when h(t) = 0 (since the stone hits the ground when its height is zero). So we can set the equation equal to zero and solve for t

0 = 775 + 20t + (1/2)(-32)t^2

0 = -16t^2 + 20t + 775

Using the quadratic formula

t = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = -16, b = 20, and c = 775

t = (-20 ± sqrt(20^2 - 4(-16)(775))) / 2(-16)

t = (-20 ± sqrt(7840)) / (-32)

t = 9.656 or t = -4.031

Since time can't be negative, we can discard the negative solution. Therefore, the stone hits the ground at approximately 9.656 seconds after it is thrown.

c. To find the velocity of the stone when it hits the ground, we can use another kinematic equation

v(t) = v(0) + at

where v(t) is the velocity of the stone at time t, v(0) is the initial velocity (20 feet per second), a is the acceleration due to gravity (-32 feet per second squared), and t is the time at which the stone hits the ground (9.656 seconds).

Plugging in the values, we get

v(9.656) = 20 + (-32)(9.656)

v(9.656) = -311.712 feet per second

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Answer: Its B. There will be 0.031 kg left after 151 years,

Explanation: Im doing my assessment right now.

The half-life of Cs-137 is 30.2 years. If the initial mass of the sample is 1.00 kg, the mass remain after 151 years is 0.031 Kg.

Caesium-137, or radiocaesium, is a radioactive isotope of caesium that is formed as one of the more common fission products by the nuclear fission of uranium-235 and other fissionable isotopes.

Cs-137 is used in medical radiation therapy devices for treating cancer.

The half-life is the amount of time it takes for a given sample to lose half of the original amount or the time for radioactive substance to decay. The half-life of Cs-137 is 30.2 years.

Decay constant of radioactive substance is its probability of decay per unit time.

In this case,

Mass of sample is 1 Kg

Half-life of Cs-137 is 30.2 years

The elapsed time is 30.2 years.

This means, one half-life is elapsed, the half of sample will decay in 30.2 years. Therefore, the half of the original substance will remain in 30.2 years which is 0.500 Kg. After another 30.2 years, it will be 0.250 Kg. And after 151 years, it will be 0.031 Kg.

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The density of the object is 1001 kg/ m³.

To find the density of the object, the given values are,

Weight in Air = 80.8 N

Weight in water = 18.6 N

The density can be defined as the mass of a unit volume of a material substance.

The formula for density is,

                                  d = M/V,

where d is density, M is mass, and V is volume.

The unit of density is Kg/m³.

As we know only the weight in air and water, we have to use the formula of buoyant force,

Fb = Fair - F water

    = 80.8 - 18.6

    = 62.2 N

The buoyant force Fb = 62.2 N.

The density of the object should find, for that the velocity will be calculated using the density of the water.

The formula of buoyant force,

Fb = ρVg

where, ρ - density of water, V- velocity, g- acceleration due to gravity.

Substituting the known values,

62.2 = 1000 × V × 9.8

V = 62.2 / ( 1000× 9.8)

Thus,

V = 6.34 × 10⁻³ m³.

To find the object density,

Fb = ρVg

62.2 = ρ × 6.34 × 10⁻³   × 9.8

ρ = 62.2 / (6.34 × 10⁻³   × 9.8)

   = 62.2 / 62.132 ×10⁻³

   = 1001 kg/ m³

The density of the object is 1001 kg/ m³.

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The heat required to raise the temperature of 5kg of water from 5°C to 35°C is 150 kcal.

To calculate the heat required to raise the temperature of 5kg of water from 5°C to 35°C in kcal, you can use the following terms and formula:
- Mass (m) = 5kg
- Initial temperature (T1) = 5°C
- Final temperature (T2) = 35°C
- Specific heat capacity of water (c) = 1 kcal/kg°C
- Heat (Q) = ?

The formula to calculate heat is:

Q = mc(T2 - T1)

Substitute the given values into the formula.
Q = (5kg) * (1 kcal/kg°C) * (35°C - 5°C)

Perform the calculations inside the parentheses.
Q = (5kg) * (1 kcal/kg°C) * (30°C)

Multiply the values together.
Q = 150 kcal

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Answer:

The temperature at which a liquid boils and turns to vapor.

Explanation:

Boiling point, temperature at which the pressure exerted by the surroundings upon a liquid is equaled by the pressure exerted by the vapour of the liquid; under this condition, addition of heat results in the transformation of the liquid into its vapour without raising the temperature. therefore the water is at its boiling point.

Answer:

When a substance starts to boil, like 212° F, that is considered boiling point.

The linear acceleration of the yo-yo when released is given by the formula √(4g / r),

Let's denote the linear acceleration of the yo-yo as "a" and the gravitational acceleration as "g".

When the yo-yo is released, the gravitational force will cause it to accelerate as it falls, and this acceleration will be the same for both the disks and the shaft, since they are connected and move as a single system.

Using Newton's second law, the net force acting on the yo-yo is the gravitational force, which is the product of the mass of the yo-yo and the gravitational acceleration:

F = mg

The moment of inertia of a disk rotating about its central axis is given by the formula:

I = (1/2) * m * r^2

Since there are two disks with mass "m" and radius "r", the total moment of inertia of the yo-yo is:

I_total = 2 * (1/2) * m * r^2 = m * r^2

The torque acting on the yo-yo due to the difference in radii between the disks and the shaft is:

τ = (r - r) * F = 0

This is because the difference in radii between the disks and the shaft is zero, as they have the same radius "r".

Now, using the conservation of energy, the gravitational potential energy of the yo-yo at the top of its fall is converted into kinetic energy as it accelerates downward.

The change in gravitational potential energy is given by:

ΔPE = m * g * 2r

This is because the yo-yo falls a distance of 2r, which is the total height of the yo-yo.

The kinetic energy of the yo-yo is given by:

KE = (1/2) * m * v^2

where;

Since the change in gravitational potential energy is equal to the change in kinetic energy (due to conservation of energy), we have:

m * g * 2r = (1/2) * m * v^2

Simplifying, we find:

v = √(4 * g * r)

This is the linear velocity of the yo-yo when it is released. And since linear acceleration "a" is the rate of change of velocity with respect to time, we can differentiate the above equation with respect to time to get:

a = √(4g / r)

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Answer:

Explanation:The less separation between contour lines means a steeper slope and vice versa. When there are evenly spaced contours, the slope is uniform. At a stream junction, contour lines form a “M” or “W” shape. This can be interpreted as two “V-shaped contours intersecting.

Answer:

At a stream junction, contour lines form a “M” or “W” shape. This can be interpreted as two “V-shaped contours intersecting.

Explanation:

None

If a geothermal power plant produces 6000 watts of power for every 13000 watts of heat from water, so its efficiency is 46%.

Efficiency is defined as the proportion of energy which is wasted during a process. The rate at which energy is wasted needs to be reduced and there are a many ways to save energy, such as thermal energy. The formula of efficiency is equals to useful power out divided by total power in. Mathematically it is written as

Efficiency = useful power out ÷ total power in

Some amount of energy is always wasted from every machine, the efficiency should always be less than 1 or less than 100%. No machine is 100 percent efficient.

So we can conclude that if a geothermal power plant produces 6000 watts of power for every 13000 watts of heat from water, so its efficiency is 46%.

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True, parallax is the apparent change in location of an object due to the motion of the observer.

Parallax is a technique used in astronomy to measure the distance of nearby celestial objects, such as stars or planets, from Earth. This phenomenon occurs because the position of an object appears to change when viewed from different vantage points. The apparent change in location is due to the motion of the observer and not the actual movement of the object being observed.

For example, when you hold your thumb up in front of your face and close one eye, then switch to the other eye, your thumb appears to shift in position against the background. This shift is a result of the change in the observer's perspective, and it illustrates the concept of parallax. In astronomy, the observer's motion usually refers to the Earth's movement around the Sun, which causes nearby stars to appear to shift against the more distant background stars.

By observing this apparent change in position and knowing the baseline (the distance between the two observation points), astronomers can use trigonometry to calculate the distance to the celestial object. Parallax is an essential tool in the field of astrometry, helping astronomers understand the universe's scale and structure.

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A beam of blue light causes photoelectrons to be emitted from a photoemissive surface. An increase in the intensity of the blue light will cause an increase in the number of photoelectrons emitted. Therefore, an increase in the intensity of blue light will cause an increase in the light intensity.

What is light? Light is a type of electromagnetic radiation that travels in waves at a velocity of 299,792 kilometers per second (km/s) in a vacuum. It is a form of energy and, like all forms of energy, can be transferred. Light, like other electromagnetic waves, has both electric and magnetic fields that oscillate perpendicularly to one another at right angles.Light has a very important property, which is its intensity. The amount of light that passes through a given area or space per unit time is known as light intensity. It is the amount of light energy that falls on a unit area in a given time. The energy of light, like all energy, can be described in terms of photons.

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Answer:

V = -0.4 m/s

Explanation:

Given that,

Mass of cart 1, m₁ = 3 kg

Speed of cart 1, v₁ = 2 m/s

Mass of cart 2, m₂ = 2 kg

Speed of cart 2, v₂ = -4 m/s (left)

aWe need to find the velocity of the carts after the collision if they stick together. Let the common speed be V. Using the law of conservation of momentum to find it such that,

\(m_1v_1+m_2v_2=(m_1+m_2)V\\\\V=\dfrac{m_1v_1+m_2v_2}{(m_1+m_2)}\)

Put all the values,

\(V=\dfrac{3\times 2+2\times (-4)}{(3+2)}\\\\=-0.4\ m/s\)

So, the velocity of the carts after the collision is equal to 0.4 m/s to the left.

The Torque is only produced when the force is applied perpendicular to the moment arm.

The equal and opposite force acting at a point from the axis of rotation is called the moment.

M = F x r

Moment of force is also called as Torque.

Moment arm is the distance of the point of application of force from the axis of rotation of the body.

Thus, the perpendicular component only, produces the torque.

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Motion is a change in position measured by distance and time.