A student notices that he does better on tests if he sleeps for at least 8 hours. He decides that for the next 3 tests he has in science class, he will sleep different amounts of times and see how he does on his tests. For his next science test, he sleeps only 4 hours the night before, 6 hours before the next test, and 8 hours before the final exam. The chart shows his data. grade Test 1 2 3 Hours of Sleep 4 6 8 Grade 56 75 80 What is the dependent variable?​

Answer:

30 . 7 m

Explanation:

It takes 2.5 seconds for the rock to fall the vertical height

d = 1/2 a t^2

d = 1/2 ( 9.81)(2.5^2) = 30.7 m

The amount of work that the force does as the particle crosses the 21.0 J. Work done refers to the amount of energy used by a force that move an object.

A force's output is defined as the product of the force's component acting in the displacement's direction and its magnitude. Formula. The following formula can be used to determine work: multiply force by distance traveled inside the direction of force. W = F × d.

A force is said to have completed its work when it exerts itself on an object and the object really moves in the direction of the applied force. A product of the force as well as the object's displacement in the force's direction is the work that the force produces.

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Answer:

Explanation:

The work is numerically equal to the area of ​​the figure lying under the graph of the function.

(a)

A₁ = (1/2)·80·6 = 240 J

(b)

A₂ = (1/2)·40·3 = 60 J

(c)

A = A₁ + A₂ = 240 + 60 = 300 J

The size of the normal force acting on the object from largest to smallest are;

(b) The object is at rest on the stationary platform and there is a downward force of 10N applied to the top of the object while it remains stationary.

(e) The platform is accelerating the object downward at 0.5 m/s^2.

(a) The object is at rest and the platform is not moving.

(c) The object is at rest on the stationary platform and there is an upward force of 10N applied to the top of the object while it remains stationary

(d) the platform is accelerating the object upward at 1.5 m/s^2.

The normal force of an object is the upward force exerted on the object by the supporting surface due to weight of the object acting downwards.

The formula for normal force is given as;

Fn = mg

where;

The normal force on the 10 kg object when it is  at rest and the platform is not moving,

Fn = mg

Fn = 10 x 9.8

Fn = 98 N

When the object is at rest on the stationary platform and there is a downward force of 10N applied to the top of the object while it remains stationary,

Fn = (10 x 9.8) + 10 N

Fn = 108 N

When the object is at rest on the stationary platform and there is a upward force of 10N applied to the top of the object while it remains stationary,

Fn = (10 x 9.8) - 10 N

Fn = 88 N

When the platform is accelerating the object upward at 1.5 m/s^2

Fn = (10 x 9.8) - (1.5 x 10)

Fn = 98 N - 15 N

Fn = 83 N

When the platform is accelerating the object downward at 1.5 m/s^2

Fn = (10 x 9.8) + (10 x 0.5)

Fn = 103 N

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The electric motor will lift the 131 kg bundle of shingles at a height of 14 m.

Gravitational potential energy is the energy exhibited by an object because of a change in its position in the presence gravitational field.

The gravitational potential energy of an object at height h from the surface of the earth is given by:

[tex]U = mgh,[/tex]                  where m is the mass of the object.

Given, the power of the electric motor, P = 1.5 KW, and time, t - 12 s

Power = Work/ time

Work = Power × time

Work = 1500 ×12 = 18000 J

Given, the mass of the object, m= 131 Kg

The gravitational potential energy, U = 18000J

The height of the bundle of shingles can be determined as:

18000 = 131 ×9.8 ×H

H = 14 m

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Your question was incomplete most probably complete question was,

An electric motor is used to hoist building supplies from the ground to the roof of a building. How much work can the motor do in 12 seconds if its power output is 1.5 kW. How high can it lift a 131 kg bundle of shingles in that time?

Option -a is correct. The two objects' respective masses and distances from one another.

In other words, a line connecting the two masses is where the force vectors we could depict on each mass lie. When two objects pull on one another due to gravity, this is always true. The lines of those attractional forces run between the centers of mass of the two objects.

Any particle of matter in the universe will gravitate toward any other with a force that varies directly as the product of the masses and inversely as the square of the distance between them, according to Newton's law of gravitation.

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The change in gravitational potential energy stored in 16 Jule.

What is gravitational potential energy?

In classical mechanics, of the  gravtitational potential at in a  location is equal to the work per unit mass that's would be needed to Move an object to that locations from a fixed references  location. It is analogous to the electric potential with the mass playing the role of charge.

Sol-As per the given question ∆PE = mgh

M= skg

g= 4m/s^2

∆h = 2m

∆PE = 2m×4m×2m

= 16 Joules.

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In class, one sophisticated and expensive demonstration the class would see in where I lift the table, so the speed of the book at the bottom of the table is 2.55 m/s. Hence, option C is correct.

A force that acts across sliding surfaces is referred to it as kinetic friction. A force acting in opposition to the direction of a moving body on the surface is felt. The two materials' kinetic friction will determine how much force is applied.

According to the given data in the question,

mgh - (μmg cosθ)s = 1/2 mv²

v²/2 = (9.8)(1.27)(sin 39.7) - (0.49)(9.8)(1.27)(cos 39.7)

v = 2.55 m/s.

Therefore, the speed of the book will be equal to 2.55 m/s.

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Answer:

It remains Stationary

Explanation:

stationary.

The free body diagram of the ball as shown shows al the forces that acts on the ball as it rolls on the floor.

We know that a free body diagram is the diagram that shows the forces that act on an object. Force is a vector quantity thus we must consider the magnitude and the direction of the force. An object can be acted upon by a system of forces. The system of forces would only cause the object to move when the forces are unbalanced. If the system of forces is balanced, the object would not move at all.

In this case, we have a ball that is rolling on a floor. There are four main forces that are acting on the ball as we can see from the free body diagram. These are;

1) The weight of the ball that acts downwards

2) The normal reaction that acts upwards

3) The force that moves the ball forward

4) The force of friction that resists the forward motion of the ball.

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If the speed is constant, then there is no acceleration. The area beneath the acceleration graph for a certain time period  equals the change in velocity during that time period.

Acceleration is zero when the velocity is constant. The area under the acceleration graph for a period of time is equal to the change in velocity for that period. There can be no area beneath the acceleration graph in this instance because the velocity does not change.

During a specific motion, the acceleration will not change, as indicated by the word constant. These curves are used to determine the value of only variable velocity if the item experiences this kind of acceleration, as the graph presented will be linear along with slope.

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True. Rocks have different properties.

Rocks are naturally formed, consolidated material composed of grains of one or more minerals. Rocks are grouped into three categories depending on their origin:

There are many physical properties of rocks, they may include; color, crystal form (or shape), hardness, luster (or shine), density, texture and fracture (how the rock disintegrates)

In conclusion, all rocks have different physical properties; texture and hardness are few of the possible properties.

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Answer:

4870 N

Explanation:

Since he is not accelerating

  the force is equal to his weight    mg  = 487 * 10 = 4870 N

[tex]g = \frac{GM}{r {}^{2} } \\ g = \frac{6.673 \times 10 {}^{ - 11} \times 10 {}^{18} }{(10 {}^{3}) {}^{2} } \\ g = \frac{6.673 \times 10 {}^{7} }{10 {}^{6} } \\ g = 6.673 \times 10 \\ g = 66.73 \: m.s {}^{ - 2} [/tex]

Answer:

10m/s2

Explanation:

250/25=10

Answer:

Yes.

Friction is the force which resists the motion of an Object. Measured in Newtons.

formula = F=ma, where f is the force, m is the mass and a is the acceleration

Answer:

la velocidad del avion es de 304 km/h

Explanation:

Según la pregunta,

La distancia recorrida por un avión en 2 segundos es de 160 metros.

Entonces, para encontrar la velocidad, debemos dividir la distancia recorrida por el tiempo que se tarda en recorrer esa distancia.

[tex] \rm \implies Velocidad = \dfrac{distancia}{tiempo \: empleado} \\ \\ \rm \implies Velocidad = \frac{160}{2} \\ \\ \rm \implies Velocidad = 80 \: m {s}^{ - 1} [/tex]

Para convertir m/s a km/h, el numerador debe dividirse por 1000 y el denominador debe dividirse por 3600. Esto implica que la cantidad total que se da en m/s debe multiplicarse por 3600/1000.

Al convertirlo en forma mínima, la cantidad dada en m/s debe multiplicarse por 18/5 para convertirla en km/h.

[tex] \therefore [/tex]

[tex] \rm \implies Velocidad = 80 \times \dfrac{18}{5} \: km {h}^{ - 1} \\ \\ \rm \implies Velocidad = 16 \times 19 \: km {h}^{ - 1}\\ \\ \rm \implies Velocidad = 304 \: km {h}^{ - 1}[/tex]

The compound would  contain;

We have to know that an ionic compound has to d with a compound that is composed of ions. The ions are species that do not have the same number of positive and negative charges.

We have to note that ionic compounds must be composed of two ions that have opposite charges. In this case the iron II ion has a positive charge while the chloride ion has a negative charge.

The chloride ions are two and there is only one iron II ion present.

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Missing parts;

The name iron (II) chloride would indicate that the compound contains

a. iron ions with an 11+ charge

b. iron ions with a negative charge

c. two ions of chlorine

d. none of the above

The amount of force applied to the 7kg object that caused it to accelerate at 8m/s² is 56 newtons.

A force is simply a push or a pull of an object resulting from the object's interaction with another object.

From newton's second law;

Force = mass × acceleration

Given the data in the question;

Plug the given values into the formula to determine the applied force.

Force = mass × acceleration

Force = 7kg × 8m/s²

Force = 56kgm/s²

Force = 56 N

Therefore, the applied force is 56 newtons.

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The period of the ball's motion is 0.142 s and the frequency of the motion is 7 Hz.

The period of the ball's motion is calculated by applying the following kinematic equation as shown below.

v = 2πr/T

ωr = 2πr/T

ω = 2π/T

T = 2π/ω

where;

The angular speed of the ball = 7 rev/s = 7 rev/s  x 2π rad/rev = 14π rad/s

T = 2π/14π

T = 1/7 s = 0.142 s

The frequency of the ball's motion is the inverse of the period of the motion and can be calculated as follows;

f = 1/T

f = (1) / (1/7) = 7 Hz

Thus, the period of the ball's motion is determined from the angular speed of the ball while the frequency of the ball's motion is the reciprocal of the period of the motion.

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The gas is a matter as it has mass and occupies space which is evident from the fact that it weighed less.

Anything that occupies space and has mass is matter.

When the gas was shot out of the can, the can weighed less. This simply means that gas has mass.

Since the gas has mass and does occupy space, so, this shows that gas is matter.

Everything around is made up of matter. There are different types of matter like solids, liquids, and gas. These three are the primary forms of matter. Two other forms are also discovered which are Plasma and Bose-Einstein Condensate.

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(a) To generate a 1 T magnetic field inside the solenoid, we need 7.96 x 10⁶ turns.

(b) If we had an iron core inside the solenoid with relative permeability of 64,000, the number of  turns would be 124 turns.

The number of turns of the solenoid is determined by applying the following equation for magnetic field strength at the center of the solenoid.

B = μnI

where;

n = B/ μI

N/L = B/μI

N = (BL)/μI

where;

n = (1 x 0.01) / (4π x 10⁻⁷  x 0.001)

n = 7.96 x 10⁶ turns

If we had an iron core inside the solenoid with relative permeability of 64,000, the number of turns would be calculated as;

N = (BL)/(μI x μr)

where;

N = (1 x 0.01) / (4π x 10⁻⁷  x 0.001 x 64,000)

N = 124 turns

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The characteristics of the surfaces in contact determine the coefficient of static frictional force. It doesn't depend on how big the surfaces are. Depending on the fluid gradient in velocity between fluid layers.

It speaks of the friction force of a fluid in motion. A fluid with high viscosity resists motion due of high internal stress created by its molecular structure. In cold conditions, low-viscosity oils help the motor begin more quickly by reducing friction between engine components. Elevated oils, on the other hand, retain the strength and thickness of the film.

Measurements of viscosity are utilized in the grocery business to increase productivity and cost effectiveness. It has an effect on how quickly a substance moves through a pipe, what it takes to set or dry, and also how quickly the fluid is dispensed into packaging.

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Answer:

  2 m/s²

Explanation:

You want the acceleration produced by a force on 14 kg if that same force produces an acceleration of 7 m/s² when acting on a mass of 4 kg.

For the same force, the acceleration is inversely proportional to the mass. In this problem, the mass increases from 4 kg to 14 kg, a factor of 14/4 = 7/2.

The acceleration will change by a factor that is the inverse of this: 2/7.

  acceleration of 14 kg = (7 m/s²) × (2/7) = 2 m/s²

The energy needed by a stove to transfer heat completely to 1 g of liquid water fro 1 °C to 25 °C is 100.37 J.

Energy is the ability or the capacity to do work.

To calculate the  amount of energy, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, The energy required is 100.37 J.

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Taking into account the definition of calorimetry, the energy that a stove must transfer to completely heat 1 g of liquid water from 1 °C to 25 °C is 100.416 J.

Calorimetry is the measurement and calculation of the amounts of heat exchanged by a body or a system.

When heat added or removed from a substance causes a temperature change in it without affecting its molecular structure, it is called sensible heat.

So, the expression that allows to calculate heat exchanges is:

Q = c× m× ΔT

where:

In this case, you know:

Replacing in the definition of calorimetry:

Q = 4.184 J/gC× 1 g× 24 C

Solving:

Q= 100.416 J

Finally, the energy needed is 100.416 J.

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I hate to leave you answer less, but there isn't even a question here to answer.

The normal force on the box is 210 N.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Normal force on the box = total Weight of box and person = 210 N.

The normal force on the box is 210 N.

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