what force is needed to give a 0.25-kg arrow an acceleration of 196 m/s^2A. 0.25 NB. 49 NC. 748 ND. 196 N

Answer:

The answer is A) 1,000 meters = 1 Kilometer.                                                        

Explanation:

To convert 18 Kilometers into meters, one would have to  multiply the figure given in Kilometer by 1000.

Therefore we have 18 x 1000

= 18,000.

So 18 Kilometers is also 18,000 meters when converted.

Cheers!

Let us assume that pulley is mass less.

Let the tension produced at both ends of the pulley is T.

We are asked to calculate the acceleration of the block.

Let the masses of two bodies are denoted as [tex]m_{1} \ and\ m_{2}\ respectively[/tex]

[tex]Let\ m_{1} =1 kg\ and\ m_{2} =2 kg[/tex]

As per this diagram, the body having mass 1 kg is moving downward and the body having mass 2 kg is moving on the surface of the table.

Let the acceleration of each block is a .

For body having mass 1 kg:

The net force acting on 1 kg body will be-

                             [tex]m_{1} g-T=m_{1} a[/tex]        [1]

Here tension in the rope will be vertically upward and weight of the body will be in vertical downward direction.

For body having mass 2 kg:

The coefficient of kinetic friction [tex][\mu]=0.13[/tex]

[tex]Hence\ the\ frictional\ force\ F=\mu N[/tex]

                                                     [tex]F=\mu m_{2} g[/tex]

Hence the net force acting on the body having mass 2 kg-

                                  [tex]T-\mu m_{2} g=m_{2} a[/tex]  [2]

Here the tension of the rope is towards right i.e along the direction of motion of the 2 kg block and frictional force is towards left.

Combining 1 and 2 we get-

                           [tex]m_{1} g-T=m_{1}a[/tex]             [1]

                           [tex]T-\mu m_{2}g= m_{2} a[/tex]   [2]

                           ---------------------------------------------------

                           [tex][m_{1} -\mu m_{2} ]g=[m_{1} +m_{2} ]a[/tex]

                           [tex]a=\frac{m_{1}-\mu m_{2}} {m_{1}+ m_{2}}*g[/tex]

                           [tex]a=\frac{1-[2*0.13]}{1+2} *9.8\ m/s^2[/tex]

                           [tex]a=\frac{0.74}{3} *9.8\ m/s^2[/tex]

                           [tex]a=2.417 m/s[/tex]         [ans]

The acceleration of a block subject to kinetic friction is determined by subtracting the force of friction from the gravitational force parallel to the surface and then dividing by the mass of the block. The force of friction is calculated by multiplying the normal force by the coefficient of kinetic friction.

The acceleration of a block sliding on a surface with kinetic friction can be found by using Newton's second law, F = m*a, where F is the net force acting on the object, m is the mass, and a is the acceleration. Given that the coefficient of kinetic friction between the block and the table is 0.13, we first need to find the force of friction, which is the product of the coefficient of kinetic friction (μk) and the normal force (N). Assuming that the only forces acting on the block are gravity, the normal force, and friction, the force of friction can be subtracted from the component of the gravitational force along the inclined plane to get the net force. The net force is then divided by the mass of the block to obtain the acceleration.

To solve for acceleration, the following equations are generally used: Ffriction = μk * N and a = (Fgravity, parallel - Ffriction) / m. It's important to note that without the mass of the block or further details of the scenario, we cannot calculate a numeric answer.

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If potential energy in a system increases while its total mechanical energy remains constant, kinetic energy decreases equivalently. This exchange between kinetic and potential energy is an example of the conservation of mechanical energy. Changes in internal energy may also manifest as a change in temperature or energy within the system's structure.

When the potential energy in a system increases without a change in the mechanical energy (assuming no energy is lost to friction), the kinetic energy would decrease equivalently to conserve the total mechanical energy of the system. This is in accordance with the principle of conservation of energy. If an object, for example, is at a certain height above the ground and it is raised further, its potential energy increases due to its position. Consequently, if the object is in free fall, as the potential energy decreases, the kinetic energy increases until the object reaches ground level, where potential energy is at its minimum while kinetic energy is at its maximum.

When the potential energy in a system increases with kinetic energy being equal, it means the internal energy of the system is rising. This increase can be due to an increase in internal potential energy, internal kinetic energy, or both. The work done on the system equals the increase in internal energy.

Moreover, any increase in a system's internal energy that does not result in elevation or speed gain could translate to an increase in internal potential energy or internal kinetic energy, or both. An increase in the internal kinetic energy would generally be observed as an increase in temperature, while an increase in internal potential energy might be observed as energy stored within the structural or molecular configuration of the system.

If we apply this to the scenario of a child on a swing, as the child swings downward, the potential energy (due to height) decreases while kinetic energy increases. Conversely, as the child swings upward, the kinetic energy decreases and potential energy increases.

The kind of wave interaction shown here is reflection.

What is meant by reflection ?

Reflection is the defined as the phenomenon by which a wave bounces back when it his on a medium or a plane.

Here,

The wave is shown as incident on the wall after that it is bounced back from the surface of the wall. Since, the wave is bounced back from the surface, we can say the wave interaction happened here is reflection. The surface of the wall here acts as the reflecting surface.

The wave that incident on the surface of the wall is called the incident wave. The wave that bounced back from the surface is called reflected wave.

If we draw a perpendicular line on the reflecting surface, it can be called the normal.

According to law of reflection, the incident wave, the reflected wave and the normal, all of them lies in the same plane. Here we can see that all of them are on the same plane. So, the law of reflection is valid in this situation.

Also, here only the direction of the wave is changed, which is the property of reflection.

Hence,

The kind of wave interaction shown here is reflection.

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The work done by the two campers against frictional force is 4200 Joule.

The definition of force in physics is: the push or pull on a mass-containing item changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

A spring balance can be used to calculate the Force. The Newton is the SI unit of force.

Frictional force acting on the he canoe: F = 84 N.

Displacement of the canoe: d = 50 m.

Hence, work done by the two campers against frictional force = force × displacement

= 84 N × 50 m

= 4200 Joule.

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Final answer:

To calculate the concentration of oxygen in molecules per liter, we use the ideal gas law equation and substitute the given values to find the number of moles of oxygen. The concentration of oxygen is approximately 29.5 molecules per liter.

Explanation:

To calculate the concentration of oxygen in molecules per liter, we need to use the ideal gas law equation: PV = nRT. Rearranging the equation, we have n = PV/RT, where n is the number of moles of oxygen in the given volume, P is the pressure, V is the volume, R is the ideal gas constant, and T is the temperature.

Given the pressure of 739 torr, volume of 1 liter, and temperature of 29.5°C (which needs to be converted to Kelvin), we can substitute these values into the equation. The ideal gas constant R is 0.0821 L*atm/(mol*K).

Therefore, the concentration of oxygen in molecules per liter is:

n = (739 torr * 1 L) / (0.0821 L*atm/(mol*K) * (29.5+273) K)

n = 29.5

So the concentration of oxygen is approximately 29.5 molecules per liter.

Answer:

SIZE AND DISTANCE BETWEEN THEM

69,912 km !!!!!!!!!!!!!!!!!!!!!

Explanation : According to the law, it says that F ∝ Mm ÷ R²

Where :

For calculating the gravitational force (F), we must have an equation. According to the law, we are ain't getting any equation. Hence, we must convert it by putting a constant.

A constant is any value that is fixed, and it won't change under any circumstance. And in this case, the value of the gravitational constant (G) is 6.67 x 10⁻¹¹.

Now, here comes the final equation :  F = GMm ÷ R²

Where :

Hence, the main purpose of the universal gravitational constant (G) is to have an equation, which is F = GMm ÷ R².

The person's weigh on Jupiter is 1326.52 N.

Weight is a measurement of how much gravity is pulling on a body.

Weight is calculated using the formula: w = mg.

Given that weight is a force, its SI unit is also a force; hence, the SI unit of weight is the Newton (N). By examining the weight expression, we can see that it is dependent on mass and the acceleration caused by gravity.

Given that:  a person weighs 500 N on Earth.

the acceleration due to gravity on Jupiter is 26 m/s^2.

Acceleration due to gravity on Earth is 9.8 m/s^2.

Hence, mass of the person

= Weight on Earth/acceleration due to gravity on Earth

=500 N/9.8 m/s^2.

= 51.02 kg.

Her weigh on Jupiter is

= mass of the person × acceleration due to gravity on Jupiter

= 51.02 kg × 26 m/s^2

= 1326.52 N.

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In a boat race, Dan drove his motorboat over the 1000-meter course from start to finish in 40 seconds, and his average speed during the race was 25 meters per second.

The average speed indicated that the person maintained a linear speed during a drive because the speed is not always maintained properly due to various factors on the person's path.

 Dan's average speed during the race is the distance he covered divided by the time taken to cover the distance.

Dan's average speed during the race was,

Average speed = distance covered / time taken

Average speed = 1000 meters / 40 seconds

Average speed = 25 meters per second

Hence, the average speed during the race was 25 meters per second for Dan while driving the motor boat.

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Answer:

300 J

Explanation:

[tex]v = \sqrt{2gh}[/tex]

[tex]KE = \frac{1}{2}mv^{2}[/tex]

——

[tex]v = \sqrt{2(9.81 m/s^{2})(0.5 m)}\\ v = 3.13[/tex]

[tex]KE = \frac{1}{2}(61.2 kg)(3.13 m/s)^{2}\\ KE = 300 J[/tex]

Kinetic energy of an object is calculated from its mass and velocity. The mass of the player is 61.2 g and the velocity is 3.13 m/s. Then the kinetic energy of the basketball player is 300 J.

Kinetic energy of an object is generated by virtue of its motion. Kinetic energy depends on the mass and velocity of the body by the expression:

K = 1/2  mv².

Given the weight = 600 N

mass = 600 N/9.8 m/s²= 61.2 kg

height = 0.5 m

velocity = √2gh

             = √(2×9.8 m/s² × 0.5 m )  = 3.13 m/s

Then, kinetic energy of the player = 1/2 61.2 kg × 3.13 × 3.13

k = 300 J.

Therefore, the kinetic energy of the basketball player is 300 J.

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A force that holds atoms together is a chemical "bond".

Chemical bonds hold atoms together and make brief associations that are fundamental to life. Sorts of chemical bonds including covalent, ionic, and hydrogen bonds and London dispersion forces.  

The chemical bond can be thought of as a power that holds the particles of different components together in such compounds. It opens up the likelihood of a huge number of mixes of the components, and the formation of a large number of new compounds.

Answer:

Therefore, A force that holds atoms together is a chemical bond.

Explanation:

Chemical bond : A chemical bond is a lasting attraction between atoms, ions or molecules that enables the formation of chemical compounds.

Everything in the world around us is made up of atoms, which are tiny pieces of matter. Different atoms stick together to form all kinds of things in the world. A chemical bond is formed when two or more atoms are attracted to each other and form a chemical compound.

Types of chemical bonds including:

Ionic Bonds

Covalent Bonds

Final answer:

At the top of the hill, the roller-coaster car experiences a normal force (FN) from the track that is equal to the gravitational force (mg). The direction of the normal force at the top of the hill is downwards. When the car's speed increases to 14 m/s, the magnitude of the normal force remains the same, but its direction stays downwards.

Explanation:

To determine the magnitude of the normal force (FN) and its direction at the top of the hill, we need to consider the forces acting on the roller-coaster car. At the top of the hill, the car's speed is not changing, meaning its acceleration is zero. This means that the net force acting on the car is zero. The only forces acting on the car at the top of the hill are the gravitational force (mg) and the normal force (FN) from the track.

(a) When the car's speed is 11 m/s, we can equate the gravitational force and the normal force:

mg = FN

Using the given mass of 1200 kg, we can calculate the magnitude of the normal force:

FN = mg = 1200 kg * 9.8 m/s^2 = 11760 N

(b) The direction of the normal force at the top of the hill is downwards (towards the center of the circular path), as it opposes the gravitational force pulling the car downwards.

(c) When the car's speed is 14 m/s, the magnitude of the normal force remains the same:

FN = mg = 1200 kg * 9.8 m/s^2 = 11760 N

(d) The direction of the normal force at the top of the hill is still downwards, as it continues to oppose the gravitational force.

(a) At a speed of [tex]\(v = 11 \ m/s\)[/tex], the magnitude of the normal force [tex](\(F_N\))[/tex] on the roller-coaster car at the top of the hill is [tex]\(9810 \ N\)[/tex] (upward).

(b) At a speed of [tex]\(v = 14 \ m/s\)[/tex], the magnitude of the normal force [tex](\(F_N\))[/tex] on the roller-coaster car at the top of the hill is [tex]\(7560 \ N\)[/tex] (downward).

In circular motion, at the top of the hill, the centripetal force required to keep the car moving in a circular path is provided by the normal force [tex](\(F_N\)). At \(v = 11 \ m/s\)[/tex], the net force is zero as the car's speed is constant, so [tex]\(F_N\)[/tex] equals the gravitational force [tex](\(mg\))[/tex], resulting in [tex]\(F_N = 9810 \ N\)[/tex] (upward). This is because the normal force opposes the gravitational force and provides the centripetal force needed.

At [tex]\(v = 14 \ m/s\)[/tex], the normal force is directed downward. In this case, the centripetal force is greater than the gravitational force, leading to a net force directed toward the center of the circular path. The normal force now includes both the gravitational force [tex](\(mg\))[/tex] and the additional force required for centripetal acceleration. The magnitude of [tex]\(F_N\) is \(7560 \ N\)[/tex], and it is directed downward as the net force acts in the opposite direction to the gravitational force.

Understanding the dynamics involves recognizing that at different speeds, the balance between gravitational force and the force required for circular motion changes. At lower speeds, the normal force opposes gravity, while at higher speeds, it supplements gravity to provide the necessary centripetal force.

To calculate the acceleration of the system, use Newton's second law of motion. The force exerted by each crate on the other is equal and opposite.

To calculate the acceleration of the system, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. The net force acting on the system is the applied force minus the force of friction. So, the acceleration of the system can be calculated as:

Net force = Applied force - Force of friction

F_net = F_applied - F_friction

The force of friction can be calculated using the formula:

Force of friction = coefficient of friction * Normal force

Now, to calculate the force that each crate exerts on the other, we need to consider that the force exerted by one crate on another is equal in magnitude but opposite in direction. So, if we know the force exerted by one crate on the other, we can simply use Newton's third law of motion to find the force exerted by the other crate on the first crate.

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Answer: The correct answer is "Light has properties of both particles and waves".

Explanation:

Light shows dual nature. It behaves as particle as well as waves.

Photoelectric effect is the phenomenon in which there is an emission of the electrons when the light of the particular frequency is incident on the surface of the metal.

The particle nature of the light is shown by photoelectric effect.

Reflection: Reflection is the phenomenon in which the light wave gets reflected from the surface without getting transmitted. It bounces back from the surface.  

The wave nature of the light is shown by reflection.

Therefore, the correct option is (B).

The elevator is accelerating downward as the scale reads less than the person's weight. The acceleration of the elevator can be calculated using Newton's second law of motion and is approximately 1.4 m/s² downward.

When a person stands on a scale in an elevator, the scale reading reflects the normal force, which is the force exerted by the scale on the person. If the scale reads 700 N when at rest and only 600 N when the elevator starts to move, it indicates that the elevator is accelerating downward.

This is because the normal force (and thus the scale reading) is less than the person's weight, which would only happen if the force due to acceleration opposes the force of gravity.

For part (b), to find the acceleration of the elevator, we can use Newton's second law of motion. The net force on the person can be calculated by subtracting the scale reading (the normal force) from the person's weight (gravitational force). Let m be the mass of the person and a be the acceleration. We have:

mg - FN = ma

Since mg is the weight (700 N) and FN is the scale reading (600 N):

700 N - 600 N = ma

100 N = ma

Using the given weight of 700 N and the acceleration due to gravity (9.8 m/s2), we find the mass m = 700 N / 9.8 m/s2 = approximately 71.43 kg.

Therefore, the equation becomes:

100 N = 71.43 kg * a

The acceleration a is about 1.4 m/s2 downward.