Steel has a density of 7.8 g/cm³ calculate the mass of a cubic block with a side length 5 cm

The quantity of heat needed to change a 0.80- g ice cube at absolute zero (-273 ∘C ) to 0.80 g of boiling water is 253.2 Cals

q = m c ΔT

q = m L

q = Heat

m = Mass

c = Specific heat

ΔT = Change in temperature

L = Latent heat

From absolute zero to melting temperature of ice,

[tex]q_{1}[/tex] = m c ΔT

[tex]q_{1}[/tex] = 0.8 x 0.5 x ( 0 - ( - 273 ) )

[tex]q_{1}[/tex] = 109.2 Cal

Energy required to melt the ice,

[tex]q_{2}[/tex] = m * L

[tex]q_{2}[/tex] = 0.8 x 80

[tex]q_{2}[/tex] = 64 Cal

From melting temperature to boiling temperature which is 100 °C,

[tex]q_{3}[/tex] =  m c ΔT

[tex]q_{3}[/tex] = 0.8 x 1 x ( 100 - 0 )

[tex]q_{3}[/tex] = 80 Cal

Total heat required = [tex]q_{1}[/tex] + [tex]q_{2}[/tex] + [tex]q_{3}[/tex]

Q = 109.2 + 64 + 80

Q = 253.2 Cals.

Therefore, the quantity of heat needed is 253.2 Cals

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If 60 mg of salt is added to the left side of the chamber then water will move toward the left side.

A membrane that permits some molecules to pass through it but not others is said to be semi-permeable. A semipermeable membrane is the cell membrane. Because of the hydrophobic nature of the tails, the phospholipid bilayer prevents most molecules from diffusing across the membrane, making the cell membrane semi-permeable. The most effective membrane is made of cellophane.

Osmosis is the naturally occurring transfer of solvent molecules from a lower concentration solution to a higher concentration solution across a semi-permeable membrane. Kidney tissue is an example of a semipermeable membrane. Some molecules can pass through kidneys without being blocked by others, such as waste products from people. For water filtration or desalination, semipermeable membranes made of synthetic materials are employed.

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ANSWER:

376.47 m/s²

STEP-BY-STEP EXPLANATION:

Given:

Force (F) = 3.2 N

Mass (m) = 8.5 gram = 0.0085 kg

We can determine the acceleration by the following formula:

The acceleration is 376.47 m/s²

Three examples of object in equilibrium in a classroom are table at rest, book on a desk at rest and a chalk on a chalk holder at rest.

Equilibrium is the state in which all the individual forces acting on the object are balanced and so the net force will be zero. An object not necessarily be in a state of rest to be at equilibrium. If an object is moving with constant velocity it is in a state of equilibrium unless interfered with an outside force.

Examples of object in equilibrium in a classroom are:

Therefore, three examples of object in equilibrium in a classroom are table at rest, book on a desk at rest and a chalk on a chalk holder at rest.

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The period of the earth satellite in its orbit can be calculated from 5.3 * 10^5 s.

We know that the force of gravity is the force that tens to throw objects back to the earth after they have been thrown up. We can then ay that the gravitational force is the force that has its direction as the center of the earth. It pulls objects right to the center of the earth.

From the Kepler's laws, we can tell that the square of the period of a given planet is directly proportional to the cube of the distance of that planet from the sun. We can now be able to accurately make good use of the Kepler's law to obtain the period.

We then have; T^2 = r^3

T = period of the planet

r = distance of the planet

It then follows that;

T = r^3/2

T = (6540 )^3/2

T = 5.3 * 10^5 s

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(a) The velocity of the particle at position x = 1 m is 3.74 m/s.

(b) The velocity of the particle at position x = 2 m is 6.63 m/s.

(c) The velocity of the particle at position x = 3 m is 9.7 m/s.

The force constant or spring constant of a spring is the measure of stiffness of a spring.

The force constant of the spring is the slope of the graph and it is calculated as follows;

k = F/x

k = ΔF/Δx

where;

k = (15 N - 10 N) / (3m - 2m)

k = 5 N/m

The speed of the particle at each position is determined by applying the principle of conservation of energy as follows;

ΔK.E = ΔU

where;

¹/₂m(v² - u²) = ¹/₂k(x₂² - x₁²)

m(v² - u²) = k(x₂² - x₁²)

v² - u² = k(x₂² - x₁²) / m

v²  = k(x₂² - x₁²)/m   +  u²

v = √[ k(x₂² - x₁²)/m   +  u²]

where;

For x = 1 m

v = √[5 (1² - 0²)/0.5   +  2²]

v = 3.74 m/s

For x = 2 m

v = √[5 (2² - 0²)/0.5   +  2²]

v = 6.63 m/s

For x = 3 m

v = √[5 (3² - 0²)/0.5   +  2²]

v = 9.7 m/s

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F = ma

Therefore:

F = m(v/t)

- The force is 50 N

- The mass is 0.5 kg

- Time is 0.2 seconds

50 = 0.5(v/0.2)

Solve for v and you get the velocity of the ball after it leaves the racket.

Velocity = 20 m/s

Answer: Pollution and humans  

The average velocity of the particle in the time interval between 3 s and 5 s is 28 m / s. The instantaneous velocity at 4 s is 28 m / s.

Average velocity = ( s2 - s1 ) / ( t2 - t1 )

s = 3t² + 4t + 5

At t = 3s,

s1 = 3 ( 3 )² + 4 ( 3 ) + 5

s1 = 27 + 12 + 5

s1 = 44 m

At t = 5 s,

s2 = 3 ( 5 )² + 4 ( 5 ) + 5

s2 = 75 + 20 + 5

s2 = 100 m

Average velocity = ( 100 - 44 ) / ( 5 - 3 )

Average velocity = 28 m / s

At t = 4 s, the instantaneous velocity,

v ( t ) = ds / dt

v ( t ) = d ( 3t² + 4t + 5 ) / dt

v ( t ) = 6t + 4

v ( 4 ) = 6 ( 4 ) + 4

v ( 4 ) = 28 m / s

Therefore,

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This is projectile motion. We know that in this kind of motion the maximum height is given by:

and that, when the motion is complete (this means that the object stops at the same height it begins, like in this case) the total time of flight is given by:

In both of this equations the angle theta represents the angle of launch.

Now, in this case the student fires the cannonball upwards, this means that the angle of launch is 90°; since:

Then, for this problem, the equations above reduced to:

and

Now that we know this we can plug the initial velocity of each case in the equations above to determine the maximum height and time of flight. For example, if the initial velocity is 13 m/s then we have that:

With this procedure we have that the table would be:

Answer:

the third one because it is greater then the other ones

The man’s resultant velocity is 4m/s in the north-westerly direction.

According to mathematics, the relative velocity is the vector difference between the velocities of two objects. The difference between the velocities of body A and body B determines the relative velocities between them.

The total of an object's component vector velocities is the resulting vector velocity. The sum of the vector forces acting on an object is equal to the scalar product of its mass and acceleration vector.

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Answer:

a

=

F

M

a

=

137

30.8

x

=

1

2

a

t

2

x

=

1

2

⋅

137

30.8

⋅

13

2

x

=

375.86

Explanation: Hope this helps ;)

The amount of power used by Sanjay when he uses a force of 225 N to move a wheelbarrow 18 m at a velocity of 1.8 m/s is 405 N

Power can be defined as the product of force and velocity.

To calculate the amount of power used by Sanjay, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitiute these values into equation 1

Hence, the amount of power is 405 N.

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ANSWER:

Work

Movement

1/2*m*v^2

Velocity

Weight.

Mass

Gravity

STEP-BY-STEP EXPLANATION:

Energy is the ability to cause work .

Your goal is to avoid change to the structure of the egg. Kinetic energy is the energy of movement.

In order to save your egg, you will need to lower the kinetic energy of the egg just before the egg strikes the ground. The formula for kinetic energy is 1/2*m*v^2. You can’t change the mass, so you must try to adjust the velocity. How can we do this?

Think about forces we studied in our first unit. The force that can lower the velocity of a falling object is weight. The two factors that affect this force are mass and gravity.

Being physically active can improve your brain health, help manage weight, reduce the risk of disease, strengthen bones and muscles, and improve your ability to do everyday activities.

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Answer:

take downwards as negative and upwards as positive

Explanation:

the velocity of the rock to return to where it started from will be -35m/s

Answer:

Last one is a right answer.

Explanation:

a car moving south of west at an angle of 10 ⁰

Answer:

The volume will decrease also.

increase in temperature leads to an increase in volume and vice versa.

A translucent, triangular object made of glass or plastic is referred to as a prism (or any transparent material). When white light enters a prism, a phenomenon called refraction causes the light to curve. Through the phenomenon of refraction, light is curved as it moves from one medium (like air) to another medium (like water or glass).

The efficiency with which an optical medium bends light is indicated by the medium's refractive index, which is a dimensionless quantity. The refractive index of a substance determines how much of the light that enters it is bent or refracted.

When an object is immersed in a transparent medium, the distance between its actual depth and its image is reduced by a factor equal to the medium's relative index of refraction with respect to air.

Actual depth divided by refractive index equals apparent depth.

(4/1.6) + (2/1.5) + (7/1.8) = d

d = 5.741 cm

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Answer:

The flow phase is the "all or nothing" phase. it is trying to prevent bleeding and infection. It is compensating for the trauma and volume replacement.

Explanation:

hope it helps ;-;

Victor's acceleration when he increases from 12 m/s to 29 m/s over a period of 6 seconds is 2.83 m/s².

Acceleration can be defined as the rate of change of velocity.

The S.I unit of acceleration is m/s².

To calculate Victor's acceleration, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values above into equation 1

Hence, Victor's acceleration when he increases from 12 m/s to 29 m/s over a period of 6 seconds is 2.83 m/s².

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The scale of measurement in this variable ( i.e., popularity of a number of politicians ) is ordinal scale.

Here Carolina is asking people to rate a series of politicians and is using that information to organize the politicians from most popular to least popular. Since there is an ordering / ranking of the collected data, this scale of measurement falls under ordinal scale.

There are 4 types of scales of measurement. It can also be called as 4 levels such as:

Therefore, the scale of measurement in this variable is ordinal scale.

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Answer:

Constant velocity across x-axis(horizontal)

The time necessary to bring the automobile to a stop is 54 seconds, and the correct answer is 54 seconds.

t = -81000/-1500

t = 54 seconds

t 54 seconds

F = ma, or force is equal to mass times acceleration, is the second of Newton's three laws of motion. Learn how to compute acceleration using this formula.

According to the first law, an item won't alter its motion unless a force acts on it. According to the second law, an object's force is equal to its mass times its acceleration. The third law asserts that every action has a corresponding and opposing response.

Newton's third rule of motion explains that when two bodies contact, they exert force on one another.

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The statement that describes horizontal motion is the projectile’s acceleration is –9.8 m/s2, so its velocity is constant.

During the upward motion of a projectile, the vertical velocity decreases with increase in the height of the motion due to the opposing force of gravity.

The vertical velocity of the projectile will be zero at maximum height. As the projectile begins to the descend, the vertical velocity starts to increase and eventually becomes maximum before the projectile hits the ground.

The horizontal velocity of the projectile will be constant since the effect of gravity is not felt in a horizontal motion.

Thus, we can conclude that during a projectile motion, the vertical velocity will change, the horizontal velocity will be constant and the acceleration due to gravity will 9.8 m/s².

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Answer:

C :  The projectile’s acceleration is zero, so its velocity is constant.

Explanation:

From the graph of the motion of the car, the deceleration of the car is -1.5 m/s².

Motions is defined as the change in the position of a body.

There are several forms of motion that a body can undergo, they include:

Considering the motion graph of the car as shown, the car undergoes a translational motion in a straight path. The car changes its speed over time.

Between O and A, the speed of the car increases steadily, and this part is known as acceleration.

Between A and, the car moves with constant speed.

Between B and C, the speed of the car steadily decreases which is known as deceleration.

The deceleration of the car = (0 - 30) / (50 - 30)

The deceleration of the car =-1.5 m/s²

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Complete question:

A graph of a car's motion is shown below. What is the deceleration of the car from B to C​?

The truck needs to draw the trailer with 13200 N of force at its maximum capacity.

Every physical object has a small amount of "stickiness," which is where friction gets its power. Where two surfaces touch, there will be some resistance to motion in that direction. When two surfaces are stationary in relation to one another, there is static friction. Because static friction creates resistance, a certain amount of force must be exerted to get objects moving. There won't be any movement at all if the force applied to one of the surfaces does not surpass the static friction force.

Let the weight of the truck be W . reaction force R = W

Maximum frictional force = μ R

= .8 x W

So for movement of truck

Pulling force = frictional force

10560 = .8W

W = 13200 N

weight of heaviest truck required = 13200 N .

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Answer:

In the particle model, the object in motion is represented by a series of single points. A time interval is the difference between two locations. A vector has both location and direction. The zero point in a coordinate system is called the resultant.