Why do objects that lie half in and half out of water appear distorted?

Suppose you have a container filled with iron and sand. You can separate the iron from the sand if you use a magnet so this is a mixture. Thus, the correct option is A.

A mixture is a compound which is made up of two or more chemical components in a mixture that are not chemically linked. A mixture is a physical blend of two or more different substances that preserve their identities and are blended in the form of solutions, suspensions, or colloids.

For example, water and salt particles are separate substances which, once mixed, create a mixture called seawater. Mixtures are the product of a combination of compounds and elements without the chemical change.

Therefore, the correct option is A.

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The new period of the object's motion will increase by a factor of √2 of the initial period.

Centripetal acceleration, is the acceleration of a body traversing a circular path.

Mathematically, it is given as

a = v²/r

ar = v²

where;

v = 2πr/T

Substitute the value of v into the above equation;

ar = (2πr/T)²

ar = 4π²r²/T²

a =  4π²r/T²

from the equation above;

a₁T₁² = a₂T₂²

when the acceleration is reduced by half;

a₁T₁² = (0.5a₁)T₂²

T₁² = (0.5)T₂²

2T₁² = T₂²

T₂ = T₁√2

Thus, the new period of the object's motion will increase by a factor of √2 of the initial period.

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Final answer:

To halve the object's acceleration in uniform circular motion without changing the radius, the period must be multiplied by the square root of two. The closest option from the provided choices that would reduce the acceleration is doubling the period, which is option (2) 2T.

Explanation:

The acceleration a of an object in uniform circular motion can be calculated using the formula a = | v |²/r, where v is the velocity of the object and r is the radius of the circle. Alternatively, it can be calculated as a = 4π²r/T², with T being the period of the motion. In order to cut the acceleration in half, either the velocity needs to change or the period has to change since the radius R remains the same.

Given that only the period T can be altered, and based on the second formula for acceleration where the period is squared, if we want to cut the acceleration in half we need to increase the period by a factor that, when squared, equals two.

The square root of two is approximately equal to 1.414, so we need the new period to be T' = T × √2. Since none of the options directly match this value, we can't select an exact answer from the given choices (1) t/2, (2) 2t, (3) t/4, (4) 4t. However, the closest answer that would reduce the acceleration is doubling the period, which is option (2) 2T.

Answer:

The correct answer will be option-C.

Explanation:

The geocentric model is the model system which explained the planetary motion of the planets in the solar system.

The geocentric model was proposed by the Ptolemy which stated that earth is present at the center of the solar system and all the celestial bodies including planets and stars revolve around it.

This model system was disproved by Nicolas Copernicus which explained that Sun is present at the center of the solar system and all planets revolve around the sun,

Thus, Option-C is the correct answer.

Wagon A will have a higher acceleration compared to Wagon B is correct when two wagons are pulled with equal force. Wagon A is empty.

Wagon B is carrying enough bricks to double the mass of the wagon. To understand how their accelerations compare, we can use Newton's Second Law, which states that F = ma, where F is the force applied, m is the mass, and a is the acceleration.

Wagon A is empty, so it has a certain mass m. Let's denote its acceleration as a. Using F = ma for Wagon A gives:

F = m * a

Wagon B has double the mass of Wagon A, so its mass is 2m. Using the same applied force F and applying F = ma for Wagon B gives:

F = 2m * a'

Since the forces are equal, we can set the equations equal to each other:

m * a = 2m * a'

Solving for a' (the acceleration of Wagon B):

a' = a / 2

The correct answer of this question is : D) The initial momentum is 5 kg m/s, and the final momentum is 10 kg m/s

EXPLANATION :

Before going to answer this question, first we have to understand the momentum.

The momentum of a body is the amount of motion contained in a body. Quantitatively momentum is the product of mass with velocity.

Mathematically momentum p = mv.

Here, m is the mass of the body, and v is the velocity of the body.

As per the question, the mass of the ball m = 5 Kg.

The initial velocity of the ball u = 1 m/s.

Hence, initial momentum = m × u

                                          = 5 Kg × 1 m/s

                                          = 5 Kg.m/s

The final velocity of the ball v = 2 m/s

Hence, final momentum p = m × v

                                            = 5 Kg × 2 m/s

                                            = 10 Kg.m/s                        [ans]

The right answer is 20 miles per hour East

Answer: A) 20 miles per hour East

Explanation:

We know that the distance is 10 miles (to the east)

and the time is 30 minutes, knowing that an hour has 60 minutes, we can write this as:

30 minutes = ((30 min)/(60 min) )* 1h = 1/2 hours = 0.5 hours.

Now, the velocity is defined as the distance traveled divided by the time needed to travel that distance (and remember that velocity is a vector, so this must have a direction, in this case, the direction is east)

v = distance/time = 10miles/0.5 hours = 20 mi/h

the velocity is 20 miles per hour to the east.

The correct option is A

Answer:

D) The force multiplied by the time the objects are in contact

Explanation:

The impulse is defined as the change in momentum of an object:

[tex]I=\Delta p[/tex]

We know that momentum is the product between mas (m) and velocity (v), so assuming the mass of the ball to be constant, its change in momentum will be the product between the mass and the change in velocity:

[tex]I=\Delta p=m\Delta v[/tex]

Now we can multiple and divide by [tex]\Delta t[/tex], the time of collision:

[tex]I=m\Delta v \frac{\Delta t}{\Delta t}=m \frac{\Delta v}{\Delta t}\Delta t[/tex]

But [tex]\frac{\Delta v}{\Delta t}[/tex] is the acceleration, so:

[tex]I=m a \Delta t[/tex]

And (ma) is the force, so we have

[tex]I=(ma)\Delta t=F\Delta t[/tex]

The particles that would be attracted to each other are electrons and protons. The reason for this is because protons contain a positive charge, and electrons contain a negative charge. According to Coulomb's law, particles with opposite charges attract each other.

In the context of particle physics, the particles that would be attracted to each other are option B - electrons and protons. Protons contain a positive charge, and electrons have a negative charge. According to Coulomb's law, particles with opposite charges attract each other. Therefore, an electron (negative charge) and a proton (positive charge) would attract each other. In contrast, electrons and neutrons would not, as neutrons are neutrally charged and do not interact with charged particles in terms of electromagnetic force.

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Answer:  Light travels at different speeds in different medium because of the varying densities.

Explanation: The reason for the straw to break at the water's surface is because of the process of refraction. Light travels at different speeds in different medium because of the varying densities.

The light travels from air to water and thus the difference in speed results in an apparent shift of the position of part of straw under water and thus the part appears broken. This phenomenon is called as refraction.