A 3 kg hard steel ball collides head-on with a 1 kg hard steel ball. The balls are moving up at 2 m/s in opposite directions before they collide. Upon colliding, the 3 kg ball stops. What is the velocity of the 1 kg object after the collision?

a) The sum of 545, 36.2, 0.080, and 9.0 is 590.280. The correct number of significant figures is 590.280 (5).

b) The product of 0.0055 and 445.3 is 2.46015. The correct number of significant figures is 2.46 (3).

c) The product of 18.10 and pi is 56.829079. The correct number of significant figures is 56.829079 (8).

Significant figures, also known as significant digits, are the digits in a number that carry meaning contributing to its precision. They are used to express the level of confidence in a measurement. The number of significant figures in a measurement or calculation represents the number of digits that are known with some level of certainty, plus one final digit that is estimated. For example, the number 12.34 has four significant figures, while the number 0.001234 has only two significant figures.

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Given:

Initial velocity = 24.3 m/s

Angle = 38.5°

Let's find how far away the ball landed.

To find the distance, apply the projectile motion formula below:

Where:

g = 9.8 m/s^2

V = 23.4 m/s

θ = 38.5°

Thus, we have:

Solving further:

Therefore, the footabll lands 54.4 meters away

ANSWER:

54.4 m

The magnitude of the force of the bottom block on the top block is equal to the magnitude of the force of the earth on the top block.

According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In this case, the top block exerts a downward force on the bottom block, and the bottom block exerts an equal and opposite upward force on the top block.

Similarly, the earth exerts a downward gravitational force on the top block, and the top block exerts an equal and opposite upward gravitational force on the earth. Again, these forces form an action-reaction pair with equal magnitudes but opposite directions.

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Astronomers can use how long it takes an object's brightness to vary to estimate the physical size of the object through a method known as photometry. This method involves observing an object's brightness over time and analyzing the patterns of variation.

For example, consider a binary star system in which two stars orbit each other. As one star passes in front of the other, the combined brightness of the system will decrease. The duration of this decrease in brightness can be used to estimate the physical size of the stars, as the duration of the decrease is related to the size of the stars and the distance between them.

Similarly, if an asteroid or other small body passes in front of a star, the star's brightness will decrease for a short period of time. The duration of this decrease can be used to estimate the size of the asteroid, as the duration is related to the size of the asteroid and the distance between it and the observer.

In general, the size of an object can be estimated using photometry by comparing the observed variation in brightness to the expected variation based on the physical characteristics of the object. This can provide valuable information about the properties and behavior of celestial objects and can help astronomers to better understand the structure and evolution of the universe.

Answer:

10 s

Explanation:

d = distance = rate x time

At time t, the first car reaches the second.

(35 m/s)t = (30 m/s)t + 50 m    solve this for t

(5 m/s)t = 50 m

t = (50m) / (5 m/s) = 10 s  

double check the answer:

(35 m/s)(10 s) = (30 m/s)(10 s) + 50 m

350 m = 350 m  

To find the mass in kilograms, you need to know the object's weight in newtons and the acceleration due to gravity. The formula for finding mass is mass = weight / acceleration due to gravity. So if you have an object with a weight of 100 N and the acceleration due to gravity is 9.8 m/s^2, the mass would be 10.204 kg.

The mass of the block is 0.025 kg or 25 g, when the spring has k = 28 N/m, and compresses 0.11 m before bringing the block to rest.

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Answer:

Aerobics I think.

Explanation:

Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.

Explanation:

Answer:

B: lodestone

Explanation:

Each magnet has its magnetic poles, north (N) and south (S). Diversified ones are attracted and reptiles of the same name are repelled, similarly to charges, so it was considered possible to separate the magnet at the north and south poles.

Magnetic properties can be lost if the magnet is exposed to high temperatures if it falls or due to some mechanical shocks.

A

Explanation:

Groups and Periods.

The epiphyseal, or growth, plates close at relatively younger ages in boys and girls. That is option E.

The growth plate which is also called the epiphyseal plate is defined as the area of tissue near the ends of long bones in children and teens that determines the future length and shape of the mature bone.

The growth plate is made up of the following layers such as:

The epiphyseal plate is known to close at relatively younger age for boys and girls because of Estrogen and testosterone release at puberty which initiates closure of the epiphyseal plates.

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Complete question:

The epiphyseal, or growth, plates close at relatively younger ages in which of the following groups?

a. boys

b. girls

c. early maturers

d. a and c

e. b and c

Answer:

Explanation:

How long does the football need to rise?

4.70/3 = 2.35 s

What height will the football reach?

h = ½(9.81)2.35² = 27.1 m

With what speed does the punter need to kick the football?

vy = g•t = 9.81(2.35) = 23.1 m/s

vx = d/t = 56.0/4.70 = 11.9 m/s

v = √(vx²+vy²) = 26.0 m/s

At what angle (θ), with the horizontal, does the punter need to kick the football?

θ = arctan(vy/vx) = 62.7°

Answer:

The ratio is   \(\frac{T_1}{T_2}  = 3.965  \)

Explanation:

From the question we are told that

   The  radius of Phobos orbit is  R_2 =  9380 km

    The radius  of Deimos orbit is  \(R_1  =  23500 \  km\)

Generally from Kepler's third law

    \(T^2 =  \frac{ 4 *  \pi^2 *  R^3}{G * M  }\)

Here M is the mass of Mars which is constant

        G is the gravitational  constant

So we see that \(\frac{ 4 *  \pi^2  }{G * M  } =  constant\)

    \(T^2 = R^3   *  constant \)      

=>  \([\frac{T_1}{T_2} ]^2 =  [\frac{R_1}{R_2} ]^3\)

Here \(T_1\) is the period of Deimos

and  \(T_1\) is the period of  Phobos

So

      \([\frac{T_1}{T_2} ] =  [\frac{R_1}{R_2} ]^{\frac{3}{2}}\)

=>    \(\frac{T_1}{T_2}  =  [\frac{23500 }{9380} ]^{\frac{3}{2}}]\)

=>    \(\frac{T_1}{T_2}  = 3.965  \)

The given values are:

We know the formula,

→ \(v = \frac{2 \pi r}{T}\)

then,

→ \(\sqrt{\frac{GM_{mars}}{r} } =\frac{2 \pi r}{T}\)

or,

→              \(T = 2 \pi \sqrt{\frac{r^3}{GM_{mars}} }\)

Now,

The orbital period of Deimos will be:

                   \(= 2 \pi \sqrt{\frac{(23500)^3}{GM_{mars}} }\)

The orbital period of Phobos will be:

                   \(= 2 \pi \sqrt{\frac{(9380)^3}{GM_{mars}} }\)

hence,

The ratio will be:

→ \(\frac{T_{deimos}}{T_{Phobos}}\) = \(\frac{2 \pi \sqrt{\frac{(23500)^3}{GM_{mars}} } }{2 \pi \sqrt{\frac{(9380)^3}{GM_{mars}} }}\)

             = \(\sqrt{(\frac{23500}{9380})^3 }\)

             = \(3.96\)

Thus the above answer is correct.

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Answer:

The drop in temperature overnight causes a decrease in the average kinetic energy of the air molecules inside the tires. According to the ideal gas law, this leads to a decrease in tire pressure. The low tire pressure light in vehicles is triggered when the pressure falls below a certain threshold, alerting the driver to check and adjust the tire pressure.

Explanation:

The ideal gas law, represented by the equation PV = nRT, relates the pressure (P), volume (V), number of moles (n), and temperature (T) of an ideal gas. In this case, we can analyze how the drop in temperature affects the tire pressure.

When the temperature drops, according to the ideal gas law, the pressure of a gas will decrease if the volume and the number of moles remain constant. This is because the decrease in temperature causes a decrease in the average kinetic energy of the gas particles, leading to less frequent and less forceful collisions with the tire walls, resulting in a decrease in pressure.

In the context of the tire pressure, the air inside the tires behaves as an ideal gas. When the temperature drops overnight, the air inside the tires also cools down, causing a decrease in its temperature. As a result, the average kinetic energy of the air molecules decreases, leading to a decrease in pressure inside the tires.

The low tire pressure light comes on as a result of this drop in pressure. The tire pressure monitoring system in modern vehicles is designed to detect significant deviations from the recommended tire pressure. When the pressure drops below a certain threshold, typically due to temperature changes or a puncture, the light is triggered to alert the driver to check and adjust the tire pressure.

Therefore, the drop in temperature overnight causes a decrease in the average kinetic energy of the air molecules inside the tires, resulting in a decrease in tire pressure, which triggers the low tire pressure warning light.

Hope this helps!

The object distance of the lens is 10 cm and the image distance of the lens is 30 cm.

The object and image distance formed by the lens is calculated by applying the following lens formula.

v + u = 40 ------- (1)

v/u = 3 ------------ (2)

v = 3u

Substitute v into equation (1);

3u + u = 40

4u = 40

u = 40/4

u = 10 cm

The image distance = 3u

= 3 x 10 cm

= 30 cm

Thus, the object distance is 10 cm and the image distance is 30 cm.

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Paved surfaces absorb more heat than vegetated or lighter colored surfaces.

Paved surfaces generate greenhouse gas emissions during production of the needed materials.

options C and E.

Climate change refers to long-term shifts in temperatures and weather patterns.

The  two ways in which the change in paved surfaces affect the climate is determined as follows;

Thus, option C and E are the correct answers.

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Question :

Options given :

Solution :

As we know that,

When a circuit is connected in series resistance is calculated by :

Here,

As a circuit contains three resistors. So R1 , R2 and R3 would be :

Now,

>> Rs = 10 + 10 + 10

>> Rs = 30 Ω

Therefore,

The equivalent resistance in the circuit is 30.0 Ω. The correct option is D.

Ohm's law is a fundamental principle of electric circuits that describes the relationship between electric current, voltage, and resistance. It states that the electric current flowing through a conductor between two points is directly proportional to the voltage across the two points, and inversely proportional to the resistance between them.

Mathematically,

V = IR

Where V = is the voltage across the conductor in volts (V),

I =  is the electric current flowing through the conductor in amperes (A),

R =is the resistance of the conductor in ohms (Ω).

This relationship can also be expressed in terms of power, using the formula:

P = VI

Where P = is the power in watts (W),

V = is the voltage in volts (V),

I = is the current in amperes (A).

Ohm's law is named after the German physicist Georg Simon Ohm, who first published it in 1827 as a result of his experiments with electric circuits. Ohm's law is widely used in electrical engineering and is essential for understanding and designing electronic devices and circuits.

Here in this question,

The equivalent resistance of resistors in series is the sum of their individual resistances.

Now, the equivalent resistance of three 10.0 Ω resistors connected in series is:

Req = R1 + R2 + R3

Req= 10.0 Ω + 10.0 Ω + 10.0 Ω

Req= 30.0 Ω

Using Ohm's law, we can find the current flowing through the circuit:

I = V/R

= 6.0 V/30.0 Ω

I = 0.2 A

Therefore, the equivalent resistance of the circuit is 30.0 Ω (Option D).

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The speed of the bowling ball after the collision is 4 m/s.

The momentum is defined as the product of the mass and the velocity of the body.

We can use the law of conservation of momentum to solve this problem, which states that the total momentum of a system remains constant in the absence of external forces. The initial momentum of the system (bowling ball + bowling pin) is:

pi= m₁v₁ + m₂ v₂

= 10 kg x 10 m/s + 3 kg x 0 m/s

= 100 kg m/s

where m₁ is the mass of the bowling ball, v₁l is its velocity before the collision, m₂ is the mass of the bowling pin, and v'₂ is its velocity before the collision (which is zero since it's at rest).

After the collision, the momentum of the system is:

pf = m₁v'₁ + m₂  v'₂

Where v'₁  is the velocity of the bowling ball after the collision, and v'₂ is the velocity of the bowling pin after the collision.

Since momentum is conserved, we have:

pi= pf

Substituting the values we know, we get:

100 kg m/s = 10 kg x  v'₁ + 3 kg x 12 m/s

Solving for v'₁, we get:

v'₁ = (100 kg m/s - 3 kg * 12 m/s) / 10 kg

v'₁ = 4 m/s

Therefore, the speed of the bowling ball after the collision is 4 m/s.

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Explanation:

All living organisms metabolize. That is the definition of life. So jr answer is no animal or organism that does not consume food.

The subatomic particle that is not a part of the nucleus which stays bound to the atom is the electron and is to maintain relative stability.

This is defined as a sub atomic particle which is negatively charged and revolve around the nucleus. In an atom the number of electron is usually equal to the number of the proton which is positively charged and present in the nucleus.

The electron not being in the nucleus is a a result of it wanting to maintain stability because its presence will produce a wavelength which will break the nucleus apart.

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Answer:

Conduction: Touching a stove and being burned. Ice cooling down your hand. .

Explanation:

(1/2)mv^2 = (1/2) * 100 * (2*3)^2 = 1800 [J]

The surface density of atoms in the (1,1,1) plane of the BCC lattice is 0.16 atoms/angstrom².

To calculate the surface density of atoms in the (1,1,1) plane, we first need to determine how many atoms are in the plane. Since the plane passes through the center of the unit cell, it intersects one-eighth of each of the corner atoms and the full central atom. Therefore, the total number of atoms in the (1,1,1) plane is:

N_atoms = 1 + 8*(1/8) = 2

Next, we need to calculate the area of the (1,1,1) plane. To do this, we can consider the lengths of the sides of the unit cell. Since the BCC lattice has a cubic unit cell, all sides have length a=5 angstroms. The (1,1,1) plane passes through the center of the unit cell and intersects the sides at a 45-degree angle. The distance from the center of the unit cell to the midpoint of one of the sides is a/sqrt(2), so the length of the diagonal of the square face of the unit cell is 2a/√(2) = a√(2). The area of the square face is then (a√(2))² = 2a².

The (1,1,1) plane intersects the square face at a 45-degree angle, so its area is 2*a²/2 = a².

The surface density of atoms is the number of atoms per unit area. Dividing the number of atoms in the (1,1,1) plane by the area of the plane gives:

surface density = N_atoms / area

= 2 / a² = 2 / (5 angstroms)² = 0.16 atoms/angstrom²

Therefore, the surface density of atoms in the (1,1,1) plane of the BCC lattice is 0.16 atoms/angstrom².

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Answer:

Below

Explanation:

First we will find the distance from when the bike is accelerating

Use this formula to find this :

     d1 = ( vf - vi / 2 ) t

     d1 = ( 5m/s - 0 m/s / 2 ) 4.5 s

     d1 = (2.5)(4.5)

     d1 = 11.25 m

Now we can find the distance for another 2.5 seconds

Since the car accelerated to 5 m/s, the constant velocity will be 5 m/s

Use this formula to find this :

     d2 = vt

     d2 = (5m/s)(2.5s)

     d2 = 12.5 m

Finally we can add them up to get the total distance :

     dt = 12.5 m + 11.25 m

     dt = 23.75 m

*Make sure to round this number to how your teacher taught you

Hope this helps!

Answer:

electron, lightest stable subatomic particle known. It carries a negative charge of 1.602176634 × 10−19 coulomb, which is considered the basic unit of electric charge. The rest mass of the electron is 9.1093837015 × 10−31 kg, which is only 1/1,836the mass of a proton.

Explanation:

I hope this will be helpful for you.

A current of a 6 flows through a light bulb for 12 s. The total charge that passes through the light bulb during the given time is 72 coulombs.

To calculate the total charge that passes through the light bulb, we need to use the formula Q = I * t, where Q represents the charge in coulombs, I represents the current in amperes, and t represents the time in seconds.

Step 1: Identify the known values:

Current (I) = 6 amperes

Time (t) = 12 seconds

Step 2: Calculate the charge using the formula:

Q = I * t

Step 3: Substitute the known values into the formula:

Q = 6 amperes * 12 seconds

Q = 72 coulombs

Therefore, the total charge that passes through the light bulb during the given time is 72 coulombs.

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Answer:

See Below

Explanation:

I am not sure what you exact question is to know what direction it is but here is how you do it.

The direction of the net force is the direction of the largest force.

for example if you were to push a box forward with 100 newton's of force and someone pushed at the same time 50 newton's backwards on the box, the box would move forwards because the was a greater force on the box in a forward direction. hope this helps

To calculate the volume of a parallelepiped given the sides, we can use the scalar triple product. The formula for the volume of a parallelepiped with sides a, b, and c is:

Volume = |a · (b × c)|

where · represents the dot product and × represents the cross product.

Using the given sides:

a = (7, 2, 4)

b = (4, 7, 6)

c = (3, 4, 7)

First, calculate the cross product of b and c:

b × c = (7*7 - 4*4, 6*3 - 7*7, 4*4 - 2*3)

      = (49 - 16, 18 - 49, 16 - 6)

      = (33, -31, 10)

Next, calculate the dot product of a and the cross product (b × c):

a · (b × c) = 7*33 + 2*(-31) + 4*10

           = 231 - 62 + 40

           = 209

Finally, take the absolute value of the result to obtain the volume:

Volume = |209| = 209 cubic units

Therefore, the correct answer is:

209 cubic units

A. The weight of the mass on the earth is 117.6 N

A. The weight of the mass on the moon is 19.56 N

Weight is defined as follow:

Weight (W) = mass (m) × Acceleration due to gravity (g)

W = mg

Now we shall determine the weight. Details below:

A. Weight on earth

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 12 × 9.8

Weight on earth = 117.6 N

B. Weight on moon

Weight (W) = mass (m) × Acceleration due to gravity (g)

Weight (W) = 12 × 1.63

Weight on moon = 19.56 N

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Complete question:

The force of gravity on the Moon is said to be one-sixth of that on the Earth. What would a mass of 12 kg weigh; (a) on the Earth (b) on the moon