A 28.5-g object moving to the right at 18.5 cm/s overtakes and collides elastically with a 12.5-g object moving in the same direction at 15.0 cm/s. Find the velocity of each object after the collision. (Take the positive direction to be to the right. Indicate the direction with the sign of your answer.)

Elements combine to form compounds. The correct answer is A.

Elements combine with each other in chemical reactions to form compounds. A compound is a substance composed of two or more different elements chemically combined in a fixed ratio by mass. For example, water is a compound composed of hydrogen and oxygen in a fixed ratio of 2:1 by mass.

B. Molecules are formed when two or more atoms combine chemically, but these atoms can be of the same element or different elements. For example, oxygen gas (O2) is a molecule composed of two oxygen atoms.

C. Atoms are the smallest unit of matter that retains the properties of an element. Atoms do not combine to form other atoms or compounds.

D. Mixtures are composed of two or more substances physically mixed together, but the substances retain their individual properties and can be separated by physical means. Mixtures are not formed by the chemical combination of elements. Examples of mixtures include air and saltwater.

Therefore, The correct answer is option A.

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Explanation:

265 000 000 yrs /  700 000 yrs/reversal = 378.6 reversals

                                                            (round as appropriate)

Answer:

a. 186.2 J b. 8.63 m/s c. 190 m d. 43.2 s e. 186.2 J

Explanation:

a. From conservation of energy, the potential energy loss of block = kinetic energy gain of the block.

So, U + K = U' + K' where U = initial potential energy of block = mgh, K = initial kinetic energy of block = 0, U' = final potential energy of block at bottom of curve = 0 and K' = final kinetic energy of block at bottom of curve.

So, mgh + 0 = 0 + K'

K' = mgh where m = mass of block = 5 kg, g = acceleration due to gravity = 9.8 m/s², h = initial height above the ground of block = radius of curve = 3.8 m

So, K' = 5 kg × 9.8 m/s² × 3.8 m = 186.2 J

b. Since the kinetic energy of the block K = 1/2mv²  where m = mass of block = 5 kg, v = velocity of block at bottom of curve

So, v = √(2K/m)

= √(2 × 186.2 J/5 kg)

= √(372.4 J/5 kg)

= √(74.48 J/kg)

= 8.63 m/s

c. To find the stopping distance, from work-kinetic energy principles,

work done by friction = kinetic energy change of block.

So ΔK = -fd where ΔK = K" - K' where K" = final kinetic energy = 0 J (since the block stops)and K' = initial kinetic energy = 186.2 J, f = frictional force = μmg where μ = coefficient of kinetic friction = 0.02, m = mass of block = 5 kg, g = acceleration due to gravity = 9.8 m/s² and d = stopping distance

ΔK = -fd

K" - K' = - μmgd

d = -(K" - K')/μmg

Substituting the values of the variables, we have

d = -(0 J - 186.2 J)/(0.02 × 5 kg × 9.8 m/s²)

d = -(- 186.2 J)/(0.98 kg m/s²)

d = 190 m

d. Using v² = u² + 2ad where u =initial speed of block = 8.63 m/s, v = final speed of block = 0 m/s (since it stops), a = acceleration of block and d = stopping distance = 190 m

So, a = (v² - u²)/2d

substituting the values of the variables, we have

a = (0² - (8.63 m/s)²)/(2 × 190 m)

a = -74.4769 m²/s²/380 m

a = -0.2 m/s²

Using v = u + at, we find the time t that elapsed while the block is moving on the horizontal track.

t = (v - u)/a

t =(0 m/s - 8.63 m/s)/-0.2 m/s²

t = - 8.63 m/s/-0.2 m/s²

t = 43.2 s

e. The work done by friction W = fd where

= μmgd where f = frictional force = μmg where μ = coefficient of kinetic friction = 0.02, m = mass of block = 5 kg, g = acceleration due to gravity = 9.8 m/s² and d = stopping distance = 190 m

W = 0.02 × 5 kg × 9.8 m/s² × 190 m

W = 186.2 J

The potential energy of the loss of the block will be equal to the kinetic energy gain. The kinetic energy of the block is 186.2 J at the bottom of the curved surface.

The potential energy of the loss of the block will be equal to the kinetic energy gain.

So,

\(U = mgh\)

Where,

\(U\) - potential energy

\(m\) - mass of block =  5 kg

\(g\) - gravitational  acceleration = 9.8 m/s²

\(h\) = height = radius of curve = 3.8 m

Put the values in the formula,

\(U = 5 \times 9.8 \times 3.8 \\\\ U = 186.2 \rm \ J\)

Therefore, the kinetic energy of the block is 186.2 J at the bottom of the curved surface.

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The time the workers have to get to the piano before it reaches the bottom of the ramp is 0.7 second.

The distance travelled by piano is calculated by applying the following formula as shown below.

sin (24) = h / L

L = h / sin (24)

where;

L = ( 1 m ) / ( sin 24 )

L = 2.46 m

The time taken for the piano to reach the ground is calculated as follows;

s = ut + ¹/₂gt²

where;

L = 0 + ¹/₂gt²

t = √ ( 2L / g )

t = √ ( 2 x 2.46 / 9.8 )

t = 0.7 second

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Answer: headline, dateline, introduction

Explanation: its correct im not explaining

A 7 kg mass moving across the table at an acceleration of 25 m\(/s^2\)requires a force of 175 N.

To determine the force required to cause the acceleration of a 7 kg mass moving across the table at 25\(m/s^2\), we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration.

Given:

Mass (m) = 7 kg

Acceleration (a) = 25 \(m/s^2\)

We can substitute these values into the equation:

Force (F) = mass (m) * acceleration (a)

F = 7 kg * 25 \(m/s^2\)

F = 175 kg·\(m/s^2\)

Therefore, the force required to cause the acceleration of the 7 kg mass is 175 kg·\(m/s^2\).

To understand the calculation, we need to know that force is a measure of how much an object accelerates when a certain amount of mass is acted upon by that force. In this case, the mass of the object is 7 kg, and it is experiencing an acceleration of 25\(m/s^2\).

By multiplying the mass and acceleration together, we find that the force required is 175 kg·\(m/s^2\). This unit, also known as a Newton (N), represents the force required to accelerate a 1 kg mass at a rate of 1 \(m/s^2\)

In summary, the force required to cause the acceleration of the 7 kg mass across the table at 25 \(m/s^2\) is determined to be 175 kg·\(m/s^2\). This calculation follows Newton's second law of motion and shows the relationship between mass, acceleration, and force.

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Answer:

An unmoving object will remain unmoving and a moving object in motion will continue to be in motion with the same velocity unless an external force acts upon it.

Answer:

450m

Explanation:

\(s = ut + \frac{1}{2} a {t}^{2} \\ s = 0 + t + \frac{1}{2} a {t}^{2} \\ \frac{1}{2 } \times 9 \times {10}^{2} = 450m\)

To calculate the torque required to create an angular acceleration, we can use the formula:

Torque = Moment of Inertia × Angular Acceleration

The moment of inertia of a disk can be calculated using the formula:

Moment of Inertia = (1/2) × Mass × Radius^2

Given:

Mass = 15,000 kg

Radius = 6.14 m

Angular Acceleration = 0.0500 rad/s^2

First, calculate the moment of inertia:

Moment of Inertia = (1/2) × Mass × Radius^2

Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2

Next, calculate the torque:

Torque = Moment of Inertia × Angular Acceleration

Torque = Moment of Inertia × 0.0500 rad/s^2

Now, let's plug in the values and calculate:

Moment of Inertia = (1/2) × 15,000 kg × (6.14 m)^2

Moment of Inertia ≈ 283,594.13 kg·m^2

Torque = 283,594.13 kg·m^2 × 0.0500 rad/s^2

Torque ≈ 14,179.71 N·m

Rounding to three significant figures, the torque required to create an angular acceleration of 0.0500 rad/s^2 is approximately 14,180 N·m.

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Answer:

headlight of vehicles use less energy and gives light to very limited area hence electricity can be conserved by doing this

The final velocity of the ball to one decimal place is approximately 10.0 m/s.

From the third equation of motion:

v² = u² + 2as

Where v is final velocity, u is initial velocity, a is acceleration and s is the distance covered.

Given that:

Plug the given values into the abovr formula and solve for the final velocity v.

v² = u² + 2as

v² = 0² + ( 2 × 6.4 m/s² × 7.8 m )

v² =   2 × 6.4 m/s² × 7.8 m

v² = 99.84 m²/s²

v = √(  99.84 m²/s² )

v = 10.0 m/s

Therefore, the final velocity is 10.0 m/s.

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Answer:

Motor cortex

Both hemispheres have a motor cortex, with each side controlling muscles on the opposite side of the body (i.e, the left hemisphere controls muscles on the right side of the body).

Explanation:

Answer:

V = (v1 + v2) / 2 = (8 + 6.5) / 2 = 7.25 m/s     average speed

t = 7.2 / 7.25 = .993 sec      time to cross patch

a = (v2 - v1) / t = (6.5 - 8) / .993 = -1.51 m/s^2     or 1.5 m/s^2

The average velocity for the race is 7.25 m/s if and the acceleration is 1.5 m/s², and the time is 0.99 seconds.

It is defined as the rate of change in linear velocity with respect to time. It is also known as linear acceleration.

It is given that:

Coasting due west on your bicycle at 8 m/s, you encounter a sandy patch of road 7.2 m across.

The bicycle slows with constant acceleration.

As we know,

V = (v1 + v2)/2

Here V is the average velocity

v1 = 8 m/s

v2 = 6.5 m/s

V = (v1 + v2)/2 = (8 + 6.5)/2

V = 7.25 m/s    

t = 7.2/7.25

t = 0.993 sec      

a = (v2 - v1)/t = (6.5 - 8)/0.993

a = -1.51 m/s²    

a = 1.5 m/s²

Thus, the average velocity for the race is 7.25 m/s if the acceleration is 1.5 m/s², and the time is 0.99 seconds.

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The mass of the planet is  5.98 × 10^24 kg.

To calculate the mass of the planet, we can use Kepler's Third Law of Planetary Motion. This law states that the square of the period of revolution of a planet around the sun is directly proportional to the cube of the semi-major axis of its orbit.

First, we need to convert the period of the satellite's orbit to seconds. We know that there are 60 minutes in an hour, so the period can be expressed as (6 × 60 + 12) minutes, which equals 372 minutes. Multiplying this by 60 seconds, we get a period of 22,320 seconds.

Next, we need to find the semi-major axis of the orbit. In a circular orbit, the semi-major axis is equal to the radius of the orbit. Therefore, the semi-major axis is 8.8 × 10^6 m.

Now, we can apply Kepler's Third Law to calculate the mass of the planet. The formula is T^2 = (4π^2/GM) × a^3, where T is the period of revolution, G is the gravitational constant, M is the mass of the planet, and a is the semi-major axis of the orbit.

Rearranging the formula, we can solve for the mass of the planet:
M = (4π^2/G) × a^3 / T^2

Plugging in the values, we get:
M = (4 × π^2 / 6.67430 × 10^-11) × (8.8 × 10^6)^3 / (22,320)^2

Evaluating this expression, we find that the mass of the planet is approximately 5.98 × 10^24 kg.

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Using the right-hand rule, we can determine that the magnetic force will be directed upward, perpendicular to both the direction of current and the direction of the magnetic field.

The magnitude of the magnetic force can be calculated using the formula F = BIL, where B is the magnetic field strength, I is the current, and L is the length of the wire. Substituting the given values, we get:

F = (8.3 x 10^-4 T) x (18 A) x (48 m) = 0.72 N

Therefore, the direction and magnitude of the magnetic force is 0.72 N upward. However, the question asks for the direction of the magnetic force, which is to the left (in the westward direction) according to the right-hand rule. Therefore, the answer is -0.72 N left.

Answer:

D

Explanation:

Michael Faraday is probably best known for his discovery of electromagnetic induction, his contributions to electrical engineering and electrochemistry or due to the fact that he was responsible for introducing the concept of field in physics to describe electromagnetic interaction.

Electromagnetic or magnetic induction is the production of an electromotive force across an electrical conductor in a changing magnetic field.

Electrical engineering is an engineering discipline concerned with the study, design and application of equipment, devices and systems which use electricity, electronics, and electromagnetism.

Electrochemistry is the branch of physical chemistry that studies the relationship between electricity, as a measurable and quantitative phenomenon, and identifiable chemical change, with either electricity considered an outcome of a particular chemical change or vice versa.

Answer:

Of course the moon would disappear

Explanation:

The Moon is part of the solar system.

Knowing the exits are exactly 7 km apart, the cars pass each other at 9:29 and 15 seconds a.m.

The relative velocity of the cars is 30 m/s - 26 m/s = 4 m/s.

The distance between the cars is 7 km = 7000 m.

The time it takes for the cars to pass each other is 7000 m / 4 m/s = 1750 seconds.

1750 seconds is 29 minutes and 15 seconds.

To calculate the time in minutes;

Let:

v_p = the speed of car P (m/s)

v_q = the speed of car Q (m/s)

d = the distance between the cars (m)

t = the time it takes for the cars to pass each other (s)

Given that:

v_p = 30 m/s

v_q = 26 m/s

d = 7000 m

Use the equation for relative velocity to find the velocity of the cars relative to each other:

v_r = v_p - v_q

v_r = 30 m/s - 26 m/s = 4 m/s

Use the equation for distance to find the time it takes for the cars to pass each other:

d = v_r × t

7000 m = 4 m/s × t

t = 7000 m / 4 m/s = 1750 s

Convert 1750 seconds to minutes and seconds:

1750 s = 29 minutes and 15 seconds

Therefore, the cars pass each other at 9:29 and 15 seconds a.m.

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The time required to crumple the barrier and safely slow down the person with a force of 1650 N is approximately C, 1.1 seconds.

To determine the time required to crumple the barrier and safely slow down the person with a maximum force of 1650 N, use the equation of motion:

F = m × a

where:

F = force

m = mass

a = acceleration

Given:

m = 68 kg

F = 1650 N

Find the acceleration (a) first. Rearranging the equation:

a = F / m

Substituting the values:

a = 1650 N / 68 kg

a ≈ 24.26 m/s²

Now, use the equation of motion to find the time (t):

v = u + at

where:

v = final velocity (0 m/s as the person comes to a stop)

u = initial velocity (27 m/s)

a = acceleration (24.26 m/s²)

t = time

Rearranging the equation:

t = (v - u) / a

Substituting the values:

t = (0 m/s - 27 m/s) / 24.26 m/s²

t ≈ -27 m/s / 24.26 m/s²

t ≈ -1.11 s

The negative sign indicates that the time is in the opposite direction to the initial velocity. Taking the absolute value, the time required to crumple the barrier and safely slow down the person with a force of 1650 N is approximately 1.11 seconds.

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The ball's gravitational potential energy may be calculated in proportion to the velocity obtained by the ball as it rolls down the ramp.

The following is a model of the ball's GPE;

The height of the ball is related to the square of the velocity attained when rolling down the ramp.h ∝ v²

The gravitational potential energy, GPE, is given as follows;

GPE = m·g·Δh

Where;

m = The mass of the ball

g = The acceleration due to gravity

Δh = The change in elevation of the ball

The gravitational energy of the ball at the ramp's beginning (lowest) point, when h = 0, is 0

When a modest amount of energy is provided to the ball by moving it slowly, it advances up the ramp for a short distance before stopping.

When more energy is provided to the ball, it moves to a higher position on the ramp.

When energy is given to the ball, it is transformed into gravitational potential energy, and the height of the ball reflects the quantity of gravitational potential energy in the ball.

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Answer: 2134

Explanation:

I just had this question on my exam

Organelles are specialized structures within cells that perform specific functions, such as energy production, protein synthesis, and waste removal.

Some examples of organelles include mitochondria, which produce energy for the cell, and ribosomes, which are involved in protein synthesis.

The size of cells can vary widely depending on the organism and the type of cell. For example, human cells can range from 10 to 30 micrometers in diameter, while bacterial cells are typically much smaller, ranging from 1 to 5 micrometers in diameter.

In summary, organelles are specialized structures within cells that perform specific functions, and the size of cells can vary widely depending on the organism and the type of cell.

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The amount of force required is (V) is v(t) = at.

What is velocity?

The speed of something in a given direction. Velocity is the directional speed of to an object in motion as an indication of its rate of the  change in position as in observed from a particular to frame of reference and it's as measured by a particularly standard of time.

Sol-As per the newton's first law of motion.

Vt= vo+at

Here,

velocity at time t is v(t).

Initial velocity is vo.

Acceleration is a and the time is t.

The initial velocity is zero. Put the 0 for vo in above equation.

v(t) = 0+at

v(t)= at

Thus, the acceleration of a falling body (a), the time it takes to fall (t), and its instantaneous velocity when it hits the ground.

(V) is v(t) = at.

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Answer:

m = \(\frac{k}{g}\) x,

graph of x vs m

Explanation:

For this exercise, the simplest way to determine the mass of the cylinder is to take a spring and hang the mass, measure how much the spring has stretched and calculate the mass, using the translational equilibrium equation

              F_e -W = 0

              k x = m g

              m = \(\frac{k}{g}\) x

We are assuming that you know the constant k of the spring, if it is not known you must carry out a previous step, calibrate the spring, for this a series of known masses are taken and hung by measuring the elongation (x) from the equilibrium position, with these data a graph of x vs m is made to serve as a spring calibration.

  In the latter case, the elongation measured with the cylinder is found on the graph and the corresponding ordinate is the mass

Answer:

Object C has the most potential energy.

Between A and B, we do not know which has more potential energy.

Explanation:

We know the object with the most potential energy and this is the object at C.

Potential energy is the energy due to the position of a body above the ground surface.

The higher a body is above ground, the more its potential energy.

 Potential energy  = mass x acceleration due to gravity x height

So;

 Object C has the most potential energy.

Between A and B, we do not know which has more potential energy.

This is because, the height and mass of the objects are not quantified using numbers.

Potential energy is a function of mass and height and acceleration due to gravity but acceleration due gravity is a constant.

Explanation:

This should be right. if any doubt post a comment.

Answer:

The image formed by a convex mirror will always have its smaller than the size of the object no matter what the position of the object.

Explanation:

The image formed by a convex mirror will always have its smaller than the size of the object no matter what the position of the object.

Also notice that convex mirror always makes virtual images.

Another feature of the convex mirror is that an upright image is always formed by the convex mirror.

An important mirror formula to remember which is applicable for both convex and mirrors

Here:

'u' is an object which gets placed in front of a spherical mirror of focal

length 'f' and image 'u' is formed by the mirror.

Answer:

right side up

Explanation:

The final velocity of the object is 8.24 m/s.

We have to note that we have to use the equations of motion to be able to obtain the velocity of the object after the said time.

Let us recall that we have that;

Initial velocity = 20.9m/s.

Final velocity = ?

Time taken = 1.2 seconds

Acceleration due to gravity = 9.8 m/s^2

We would then  have that;

v = u - gt

v = 20 - (9.8 * 1.2)

v = 8.24 m/s

Thus it would have a final velocity of about  8.24 m/s

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The claim made by the company is not correct because gas and nuclear are energy source of pollution.

It is sometimes referred to as a non-conventional or renewable source of energy. For instance, geothermal energy, solar energy, and wind energy. Conventional Source of Energy – Energy sources that are finite and exhaustible are referred to as conventional sources of energy. For instance, fossil fuels like coal, petroleum, etc.

Wind mills may use the kinetic energy that the wind has in large amounts. The windmill's rotation is programmed to drive the turbine, which ultimately produces electricity. In Denmark, more than 25% of all electrical needs are met by electricity. It is referred to as the "country of winds" since a massive network of windmills is used to generate the energy.

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The work exerted on the car by the engine is 250 Joules.

What is Work?

Work is a physical quantity that is defined as the force applied to an object over a distance. It is a scalar quantity and is measured in units of joules (J) in the International System of Units (SI). The formula for work is W = F x d, where F is the force applied and d is the distance over which the force is applied.

The work exerted on the car by the engine can be calculated using the formula:

Work = Power x Time

Since the car is moving at a constant velocity, we can calculate the time it takes for the engine to exert the given power by using the formula:

Velocity = Work / Time

So, we can find time by using:

Time = Work / Velocity

Substituting the given values, we have:

Time = (750 watts) / (3m/s)

Therefore, the work exerted on the car by the engine is:

Work = Power x Time

Work = 750 watts x (750 watts / 3m/s)

Work = 750 * 250 Joules

So, the work exerted on the car by the engine is 250 Joules.

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