On a beautiful spring day, Juan is playing a round of golf. He hits the golf ball with an initial velocity of 44.9 m/s at an angle of 28 degrees. If it hits the ground 6s later, how far does it travel? Answer: ____m

Answer:

A fuse and circuit breaker both serve to protect an overloaded electrical circuit by interrupting the continuity, or the flow of electricity. ... Fuses tend to be quicker to interrupt the flow of power, but must be replaced after they melt, while circuit breakers can usually simply be reset.

3. An electronics company is manufacturing circuit boards.They want to use minimum wire to connect the pins in a way that there are exactly two connected components of any size.

The wire needed to connect each pair of pins is given by the distance between them. How should they arrange the pins to minimize the total length of wire needed?

To minimize the total length of wire needed, the electronics company can use a specific arrangement of pins known as a "Minimum Spanning Tree" (MST). A Minimum Spanning Tree is a connected subgraph of the original circuit board graph that includes all the pins while minimizing the total length of the edges (wires) used.

The company can follow these steps to determine the optimal pin arrangement:

1. Create a graph representation of the circuit board, where each pin is represented by a vertex and the distance between two pins is represented by the weight of the edge connecting them.2. Apply a suitable algorithm for finding the Minimum Spanning Tree of the graph, such as Kruskal's algorithm or Prim's algorithm.

3. The resulting Minimum Spanning Tree will provide the arrangement of pins that minimizes the total length of wire needed while ensuring that there are exactly two connected components of any size.

By using this approach, the electronics company can achieve an efficient and optimized wiring configuration for their circuit boards.

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No, the velocity of the book moving across a surface with no friction will not change.

Friction is the force that prevents solid surfaces, liquid layers, and material constituents from sliding past one another.

Acceleration is the change in velocity per unit of time for an item travelling on a frictionless surface at a constant speed; hence, in the absence of a force, we can state that there is no acceleration. As a result, the velocity is staying the same. The item will just continue to move if it was already doing so.

For low velocities, the frictional force is proportional to the velocity. When the velocity increases, that proportionality deviates.

Always working against motion, friction slows down how quickly an item travels across a surface. It will slow down an object by converting some of its kinetic energy into thermal energy.

The complete question is:

Imagine you push a book across an incredibly slippery surface. It slides right across because there is no friction. Next, you push the same book across a rougher surface that exerts friction. Will the velocity of the book change as it moves across the surface with no friction?

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It is not possible to determine the timing of an eruption based solely on the amount of carbon remaining. Other methods such as dating techniques would need to be used.

Carbon dating is a method used to determine the age of organic materials, but it is not a reliable technique for dating volcanic eruptions. Carbon-14 has a relatively short half-life of around 5,700 years, so after several half-lives, the amount of carbon-14 remaining in a sample would be too low to accurately measure. Therefore, the amount of carbon left in a volcanic sample cannot be used to determine when an eruption occurred. Instead, scientists typically use other dating techniques, such as radiometric dating, to estimate the age of volcanic rocks.

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Answer:

4. y = 2.38333t - 26.55 is the answer.

If placed in groundwater, a 0.60 kg gold crown would rise by a buoyant force of almost 11.58 N. You can ascertain the same using the formula provided:

Buoyant force = density of fluid x Volume of object x gravitational acceleration

= 1000 kg/m3 x 0.60 kg/m3 x 9.81 m/s2

= 11.58 N

When an item is submerged in a fluid, buoyant force, a kind of uplifting force, is applied to that item. An entity's buoyant force is proportional to the amount of both the fluid it has evacuated.

Step 1: Calculate the volume of the crown

Mass divvied up by concentration is just the formula for calculating an item's volume. The golden crown inside this instance weighs 19.3 x 103 kg/m3 in terms of density.

Volume = 0.60 kg/19.3 x 103 kg/m3

Volume = 0.0031 m3

Step 2: Determine how much water has been displaced by mass.

The crown's volume times the water is probably density gives the amount of water that is evacuated. Freshwater has a 1,000 kg/m3 density.

Mass of water moved is 0.0031 m3 times 1,000 kg/m3.Water displacement weight is equal to 3.1 kg

Step 3: Determine the buoyant force.

The buoyant force that an item experiences is proportional to the mass of the fluid which that item has displaced. The water that was removed weighs 3.1 kg in particular instance.

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Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.

\(\Delta p = mv - mu \\\\\implies \Delta p = m(v-u) \\\\F = \dfrac{\Delta p}{\Delta t} = \dfrac{m(v-u)}{\Delta t} = ma\)

F = ma is the formula of Newton’s Second Law of Motion.

To prove Newton's second law of motion,

Given Force F = Δp/Δt

Proof for F=ma

     Let us consider an object of mass m, moving along a straight line with an initial velocity u, final velocity v and it has some particular time t and thus Momentum can be related as,

For initial velocity u, p1 = m × u

The final velocity v, p2 = m × v

The change in momentum can be expressed as

p2 – p1 = (m × v) – (m × u)

p2 – p1 = m (v – u)

Here, we know that the rate of change of momentum with respect to time is proportional to the applied force.

The applied force F,

F ∝ [m (v – u)]/t

F ∝ m × a

As acceleration (a) is the rate of change of velocity with respect to time.

F = k × m × a

F = ma

where k can be the constant.

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When three different resistors are connected in series to a battery, the current through all resistors is the same.

In a series circuit, there is only one path for current to flow through. Current is the same through each component.

In a series circuit, the total voltage is divided across each component, and the voltage drop across each component is proportional to its resistance.

The equivalent resistance of the circuit is the sum of all resistors. It is not an algebraic sum, rather it is the arithmetic sum of the resistors. Hence, option A is incorrect.

The other two statements are also incorrect as the voltage on each resistor is not the same, it is divided across each resistor in proportion to its resistance. Therefore, the correct statement about the given circuit is: Currents through all resistors are the same.

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The jellyfish will move up and down but will return to about the same place when a wave passes through the water.

When a wave passes through the ocean, it carries energy through the water but does not transport water particles over long distances. Instead, water particles move in circular or elliptical motions as the wave passes. In the case of the jellyfish, it will be moved up and down by the wave's motion, following a similar circular or elliptical path.

Once the wave has passed, the jellyfish will return to a position near its original location. It's important to note that other factors, such as ocean currents and tides, may also affect the jellyfish's movement in the water.

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Answer:

Here it's on Quizlet

Explanation:

The volume of 3.4 lb of titanium is approximately 20.84 cubic inches.

To determine the volume of 3.4 lb of titanium, we need to know the density of titanium. The density of a substance is defined as its mass per unit volume.

The density of titanium varies depending on its grade and specific form, but a commonly used value is around 4.51 grams per cubic centimeter (g/cm³) or 0.163 lb per cubic inch (lb/in³).

To find the volume, we can use the equation:

Volume = Mass / Density.

Converting the mass of titanium to grams:

3.4 lb * (453.59 g / 1 lb) = 1542.1066 g.

Now, we can calculate the volume:

Volume = 1542.1066 g / 4.51 g/cm³ ≈ 341.53 cm³.

To convert the volume to cubic inches:

Volume ≈ 341.53 cm³ * (0.06102 in³ / 1 cm³) ≈ 20.84 in³.

Therefore, the volume of 3.4 lb of titanium is approximately 20.84 cubic inches.

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Answer:

repel , attract,l am sure with these two blanks only

Answer:

Magnetic fields

A magnet creates a magnetic field around it. You cannot see a magnetic field, but you can observe its effects. A force is exerted on a magnetic material brought into a magnetic field. The force is a non-contact force because the magnet and the material do not have to touch each other.

Answer:

if the pipe is too small the noise is too high...if the pipe is too big the noise is too low

The block would accelerate down the inclined plane. The force applied is greater than the maximum force of static friction. The correct answer is (B).

Angle of inclination of plane, θ = 30, Coefficient of static friction, µs = 0.2, Coefficient of kinetic friction, µk = 0.2The block is stationary, A block (A) remains stationary on the inclined plane, which implies that the force of static friction fsmax acting upwards balances the force of gravity mgsinθ acting downwards.

Using the formula of maximum force of static friction, we get; fsmax = µs x mg cosθ = 0.2 x mg x cos 30 ......(1)Also, the maximum force of static friction, in this case, is less than the force of gravity acting downwards. Hence, the block will slide down the incline.

On substituting the values in eq. (1), we get; fsmax = (0.2) (9.8) (0.866) ≈ 1.69 N. The force of gravity acting on the block will be; Fg = mg sinθ = 0.5mg N. Since the force applied, Fapp is greater than fsmax, the block will accelerate down the plane. So, the correct answer is (B).

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Answer:

17.56 N

Explanation:

Given that,

Mass of a crate, m = 5 kg

It is on a 21.0° hill

We need to find the y component of the weight.

y component = mgsinθ

Put all the values,

y-component = 5×9.8×sin(21)

= 49×sin(21)

= 17.56 N

So, the y-component of the weight is 17.56 N.

Answer:

-45.745

Explanation:

it is negative because it is downwards.

Answer:

The space around a charge or a pole in which a force is experienced is called a magnetic field. And a cluster of aligned magnetic atoms is a magnetic domain. When the clustered regions are aligned with one another, they form a magnet

As fair weather approaches, the air pressure generally increases. Fair weather is associated with high-pressure systems, where air descends and becomes more compressed, resulting in higher atmospheric pressure. This increase in air pressure indicates stable weather conditions with clear skies and relatively calm winds.

There is typically a rise in air pressure. Fair weather is associated with high-pressure systems, where air descends and spreads outwards, leading to compression and an increase in atmospheric pressure. This rise in air pressure indicates stable weather conditions with clear skies, minimal cloud cover, and generally calm winds. The higher air pressure inhibits the formation of clouds and precipitation, creating a favorable environment for pleasant and sunny weather. Meteorologists often monitor changes in air pressure as an indicator of approaching fair weather systems.

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Answer:

"This process, which is the opposite of vaporization, is called condensation. As a gas condenses to a liquid, it releases the thermal energy it absorbed to become a gas. During this process, the temperature of the substance does not change. The decrease in energy changes the arrangement of particles."

Condensation is a phase transition where the temperature remains constant but the thermal energy will change.

Condensation is a phase transition that can be described as the process through which the physical state of the matter changes from the gaseous phase into the liquid phase. For example, condensation takes place when water vapour changes into liquid water. When the water vapours in the air come in contact with a cold surface, they condense and become water droplets.

Condensation process by which water vapour is changed into liquid water.  Any gas can be condensed or liquified at high pressure and low temperature.

During the phase transition, the temperature remains constant therefore during the condensation the temperature is constant and the heat energy of the molecules will change. Because when the gas molecules release the energy to get slow down then they clump together and become liquid.

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The measured length when the temperature rises to 28 wil be ≈ 22.90327 m

To determine the measured length of the aluminum support column when the temperature rises to 28°C, we need to account for the thermal expansion of the material.

Thermal expansion is a phenomenon where materials expand or contract in response to temperature changes. Different materials have different coefficients of linear expansion, which quantify how much they expand per unit length per degree Celsius (or Kelvin) change in temperature.

In this case, the aluminum support column is expanding as the temperature rises. The change in length (∆L) can be calculated using the formula:

∆L = L * α * ∆T

Where:

∆L is the change in length

L is the initial length of the column (22.9 m)

α is the coefficient of linear expansion for aluminum (typically around 0.000022/°C)

∆T is the change in temperature (28°C - 21.9°C)

Substituting the given values:

∆L = 22.9 m * 0.000022/°C * (28°C - 21.9°C)

∆L ≈ 22.9 m * 0.000022/°C * 6.1°C

∆L ≈ 0.00327 m

To find the measured length when the temperatures rises to 28°C, we add the change in length (∆L) to the initial length (L):

Measured Length = L + ∆L

Measured Length = 22.9 m + 0.00327 m

Measured Length ≈ 22.90327 m

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Answer:

a = 0.8 [m/s²]

Explanation:

To solve this problem we must use Newton's second law which tells us that the resulting force on a body is equal to the product of mass by acceleration, in this way we come to the following equation:

∑F = m*a

where:

F = forces applied [N]

m = mass = 1000 [kg]

a = acceleration [m/s²]

Now using Newton's second law.

\(1200 - 400 = 1000*a\\800 = 1000 *a\\a=0.8[m/s^{2} ]\)

The distance from the axis of the force applied is 2.05 m.

The distance from the axis of the force applied is calculated as follows;

The formula for torque;

τ = Fr

where;

Another formula for torque is given as;

τ = Iα

where;

τ = (mr²)α

τ = (25 kg x (0.925 m)²) x (1.84 rad/s²)

τ = 39.36 Nm

The distance is calculated as;

r = τ/F

r = ( 39.36 Nm ) / (19.2 N)

r = 2.05 m

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Answer:

Explanation:

Work = Force times displacement. Therefore,

W = 3150(75.5) so

W = 238000 N*m

Answer:

Johannes Kepler

The angle necessary to keep a 10 kg box motionless, given a coefficient of static friction of 0.55 between the box and the ramp, is 33.4°, which corresponds to Option A.

To determine the angle, we can use the relationship between the coefficient of static friction, the angle of the incline, and the gravitational force acting on the box. The maximum static friction force can be calculated using the formula:

Friction force = coefficient of static friction * Normal force

The Normal force can be found by decomposing the gravitational force acting on the box into components parallel and perpendicular to the incline. The perpendicular component (Normal force) is equal to the weight of the box (mass * gravitational acceleration).

Since the box is motionless, the friction force must be equal to the component of the gravitational force acting parallel to the incline:

Friction force = Component of weight parallel to incline

By substituting the given values and solving for the angle, we find:

coefficient of static friction = tan(angle)

angle = arctan(coefficient of static friction)

angle = arctan(0.55) ≈ 33.4°

Therefore, the correct answer is Option A, 33.4°.

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To find the center of mass of the system, we need to consider the masses and positions of the two stars.

Given:

Distance between stars x and y = 5 AU

Mass of star x = 1.5 times the mass of star y

Let's assume the distance of the center of mass from star x is d1, and the distance of the center of mass from star y is d2.

According to the principle of the center of mass, the center of mass of a system can be calculated using the formula:

d1 = (m1 * x1 + m2 * x2) / (m1 + m2)

d2 = (m1 * y1 + m2 * y2) / (m1 + m2)

where m1 and m2 are the masses of stars x and y, and x1, x2, y1, and y2 are their respective positions.

In this case, since star x is 1.5 times as massive as star y, we have:

m1 = 1.5m2

Therefore, the center of mass of this system is 3 AU away from star x and -3 AU away from star y.

The correct answer is:

3; -3

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Answer:

Good one

Explanation:

Hydrogen has the highest thermal conductivity of any gas.