The magnitude of the force in each case is;
a) 28 N
b) 14 N
c) -14 N
What is force ?In physics, we know that force is a vector quantity. The force is a push or a pull and it must have direction thus we would see that the magnitude of the force would tend to differ in any direction that we would have to consider in the problem above. Hence, we shall now try to see the work that is done in each of the cases that involves the box as have been shown in the question that we can see above.
a) If the force have been applied horizontally, then the work that is done is the product of the mass, the acceleration of the body
F = ma = 20 Kg * 1.4m/s^2 = 28 N
b) If the force is 30° above the horizontal then it has a vertical direction we have;
F = ma sin 30°
F = 20 Kg * 1.4m/s^2 * sin 30° = 14 N
C) Now we have the negative vertical direction thus;
F = 20 Kg * 1.4m/s^2 * (-sin 30° ) = -14 N
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Carolina is trying to assess the popularity of a number of politicians. She has people rate a series of politicians and she uses this information to organize the politicians from most popular to least popular (e.g., Senator Johnson is first, Senator White is second, etc.). What scale of measurement is this variable?
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:
Nominal scaleOrdinal scaleInterval scaleRatio scaleTherefore, the scale of measurement in this variable is ordinal scale.
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A student fires a cannonball vertically upwards with an initial speed v. Determine all unknowns and answer the following questions. Neglect drag and the initial height and horizontal motion of the cannonball. Calculate the maximum height (h) and total flight time (t) in each of the following cases.
This is projectile motion. We know that in this kind of motion the maximum height is given by:
[tex]h_{\max }=\frac{v^2_0\sin \theta}{2g}[/tex]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:
[tex]t=\frac{2v_0\sin \theta}{g}[/tex]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:
[tex]\sin 90=1[/tex]Then, for this problem, the equations above reduced to:
[tex]h_{\max }=\frac{v^2_0}{2g}[/tex]and
[tex]t=\frac{2v_0}{g}[/tex]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:
[tex]\begin{gathered} h_{\max }=\frac{13^2}{2(9.8)}=8.62\text{ m} \\ \text{and} \\ t=\frac{2(13)}{9.8}=2.65\text{ s} \end{gathered}[/tex]With this procedure we have that the table would be:
what is a major impact of global climate change?
Answer: Pollution and humans
In outer space, a constant force is applied to a 33.2 kg probe initially at rest. The probe moves a distance of 101 m in 15 s. What acceleration does this force produce? What is the magnitude of the force?
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 ;)
Give three examples of object in equilibrium in the classroom and draw an approximate scale diagram for the object
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:
Table at restBook on a desk at rest Chalk on a chalk holder at restTherefore, 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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Find 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. Express your answer in calories
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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What is the horizontal velocity at each point of the trajectory?
Answer:
Constant velocity across x-axis(horizontal)
Zach takes out his slingshot and shoots a rock into the air at 35 m/s.
What is the total time that the rock will be in the air?
How high will the rock go?
At what velocity will the rock return to where it started from?
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
Energy is the ability to cause ________________ . Your goal is to avoid change to the structure of the egg. Kinetic energy is the energy of ____________. 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 ___________. You can’t change the mass, so you must try to adjust the __________. 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 _________________. The two factors that affect this force are __________ and ____________.I’m not sure if this is even a type of question you could do
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.
Archerfish are known for their ability to take down insect prey by precisely shooting water jets, but they can also leap from the surface of the water to capture prey directly. A 10-cm-long archerfish begins such a leap with its body vertical in the water, using its fins and undulating its body to propel itself sharply upward. Its acceleration steadily decreases as it leaves the water because less of its body and fewer of its fins are in contact with the water. The (Figure 1) is somewhat idealized data for the acceleration of an archerfish from the instant it begins a leap until the instant it leaves the water.
a) With what speed does the fish leave the water?
b) What height above the water does it reach?
1. The speed at which the fish leave the water is 1.69 meter per seconds.
2. The height above the water that it will reach is 1.45 × 10^-1 meters.
How to illustrate the information?From the information, the 10-cm-long archerfish begins such a leap with its body vertical in the water, using its fins and undulating its body to propel itself sharply upward and its acceleration steadily decreases as it leaves the water because less of its body and fewer of its fins are in contact with the water.
The speed at which the fish leave the water will be calculated as:
= 1/2 × 45 × 75 × 10^-3
= 1687.5 × 10^-3.
= 1.69 m/s.
The height above the water that it will reach will be:
h = u² / 2g
h = (1.6875)² / 2 × 9.8
h = 0.145288
h = 1.45 × 10^-1 meters
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7/21/22, 7:37 AMProblem Set ThreeNotes: Use 9.8 m/s 2 for the acceleration due to gravity. Formust be expressed in m/sLaw calculations, mass must be expressed in kg and velocity.A force of 3.2 N is applied to an 8.5 gram rifle bullet. What is the bullet’s acceleration?
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:
[tex]\begin{gathered} F=m\cdot a \\ \\ \text{ We replacing:} \\ \\ 3.2=0.0085\cdot \:a\: \\ \\ a=\frac{3.2}{0.0085} \\ \\ a=376.47\text{ m/s^^b2} \end{gathered}[/tex]The acceleration is 376.47 m/s²
A homogeneous mxture of salt and water needs to separate, how?
Answer: Evaporation. Evaporation is a technique used to separate out homogeneous mixtures that contain one or more dissolved salts. The method drives off the liquid components from the solid components. The process typically involves heating the mixture until no more liquid remains.
A runaway train car that has a mass of 13000 kg travels at a speed of 5.2 m/s down a track.
A Compute the time required, in seconds, for a force of 1700 N to bring the car to rest.
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
Which of these is Newton's Second Law of Motion?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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an earth satellite remains in orbit at a distance of 6540 from the center of the earth. what is the period? the universal gravitational constant is 6.67 x 10^-11 and the mass of the earth is 5.98 x 10^24
The period of the earth satellite in its orbit can be calculated from 5.3 * 10^5 s.
Wat are Kepler's laws?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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Without performing a calculation, predict which of the following compounds will have the greatest molar solubility in water.
AgCl (Ksp=1.8x10-10); AgBr (Ksp=5.0x10-15);
AgI (Ksp=8.3x10-17)
Answer:
the third one because it is greater then the other ones
a semi permeable membrane is stretched across a chamber filled with water . the membrane is only permeable to water. 60 mg of salt is added to the left side of the chamber what will happen
If 60 mg of salt is added to the left side of the chamber then water will move toward the left side.
Semi permeable membrane :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.
What passes through a membrane that is semipermeable?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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A ship travels at a velocity of 42 m/s in north-westerly direction. A man on the ship is walking at a velocity of 3,2 m/s from the back of the ship to the front of the ship.
What is the man’s resultant velocity in magnitude and direction?
The man’s resultant velocity is 4m/s in the north-westerly direction.
What exactly is relative speed?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.
What is the speed of resultant?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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Victor is driving south. He is traveling at 12m/s, when he enters an area with a new speed limit. Aver a period of 6 seconds, his speed increases for 12m/s to 29m/s. What is Victors acceleration during this period?
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.
What is acceleration?
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:
a = (v-u)/t........... Equation 1Where:
a = Accelerationv = Final velocityu = Initial velocityt = Time.From the question,
Given:
v = 29 m/su = 12 m/st = 6 secondsSubstitute these values above into equation 1
a = (29-12)/6a = 2.83 m/s²Hence, 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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5. Three skiers were racing across flat, smooth snow. The skiers in yellow and purple sweaters have the same mass,
which is more mass than the skier in the red sweater. Each skier was bumped by another skier, but not from the same
direction. Which skier(s) experienced the strongest force when bumped? How do you know?
The skier(s) who will experienced the strongest force when bumped are the yellow and purple skiers.
What is force?
A force is an effect which has the power to change any object's motion. When a mass-containing object increases its velocity, such as when it travels away from rest, a force can cause it to accelerate. A push or a pull is a straightforward method to explain force. Since a force has both magnitude and direction, it is a vector quantity. It is computed using the SI unit of newton (N). F is used to represent force (formerly P).
The skier(s) who will experienced the strongest force when bumped are the yellow and purple skiers. We can come to these conclusion because they have more mass than the red skier, but they changed speed by the same amount as the red skier did.
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8. A graph of a car's motion is shown below
From the graph of the motion of the car, the deceleration of the car is -1.5 m/s².
What is motion?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:
translational motion - this is motion along a straight lineCircular or rotational motion - this is motion of a body in a circular pathOscillatory motion - this is a periodically repeating motion of a bodyRandom motion - this is the haphazard motion of a body.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.
deceleration= change in speed/ change in timeThe 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?
A quality assurance engineer at a frying pan company is asked to qualify a new line of nonstick-coated frying pans. The coating needs to be 1.00 mm thick. One method to test the thickness is for the engineer to pick a percentage of the pans manufactured, strip off the coating, and measure the thickness using a micrometer. This method is a destructive testing method. Instead, the engineer decides that every frying pan will be tested using a nondestructive method. An ultrasonic transducer is used that produces sound waves with a frequency of f=25.0 kHz. The sound waves are sent through the coating and are reflected by the interface between the coating and the metal pan, and the time is recorded. The wavelength of the ultrasonic waves in the coating is 0.0760-m. What should be the time recorded if the coating is the correct thickness (1.00 mm)?
Answer:
Δt ≈ 5.3 x 10⁻⁷ s or Δt ≈ 0.5 μs.
Explanation:
Sound waves propagate at a typical speed according to the physical media.
Using the wave equation of speed:
V = λ x f
V = 0.0760 x 25 x 10³
V = 1900 m/s
Then we must use this value to find the time recorded:
V = ΔS / Δt
1900 = 10⁻³ / Δt
Δt = 10⁻³ / 1900
Δt ≈ 5.2632 x 10⁻⁷ s
Δt ≈ 5.3 x 10⁻⁷ s or Δt ≈ 0.5 μs
The wavelength of the Ultrasonic wave in the coating is 0.0760 m, then the time recorded is 0.5 μs if the coating is of correct thickness, that is of 1 mm
What is frequency?Physics refers to frequency as the quantity of waves passing a fixed location in a unit of time. Additionally, it is the quantity of vibrations or cycles that a body in periodic motion experiences in a certain period of time. One cycle or vibration is defined as the movement of a body in periodic motion across a sequence of occasions or locations before returning to its initial state. Under angular velocity, a straightforward harmonic motion is also observed.
According to the question,
Use wave equation of speed :
V = λ (wavelength) x f (frequency)
V = 0.0760 x 25 x 10³
V = 1900 m/s
The time recorded will be :
V = ΔS / Δt
1900 = 10⁻³ / Δt
Δt = 10⁻³ / 1900
Δt = 5.2632 x 10⁻⁷ s
Δt = 5.3 x 10⁻⁷ s or,
Δt = 0.5 μs
Hence, the time recorded will be 0.5 μs if the coating is of correct thickness that is 1 mm.
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Assuming motion is on a straight path, what would result in two positive components of a vector?
a train moving north of east at an angle of 25°
a bus moving north of east at an angle of 95°
a boat moving south of west at an angle of 40°
a car moving south of west at an angle of 10°
Answer:
Last one is a right answer.
Explanation:
a car moving south of west at an angle of 10 ⁰
A graph of a relationship is shown.
A graph titled force versus distance is shown with force on the vertical axis and distance on the horizontal axis. The graph is a downward curve from top left to bottom right but sits very close the axes.
Which of the following best describes the relationship between the two variables?
Distance is directly related to force.
Distance is inversely related to force.
Force is directly related to the square of distance.
Force is inversely related the square of distance.
From the direction of the line of best fit, we can say that; distance is inversely related to force.
What is a graph?The term graph has to do with the relationship between two variables that have been shown by the use of the cartesian axes. We know that the cartesian axis are vertical and horizontal. The nature of the line of best fit gives us an idea of the relationship between the variables. This also helps us to understand the slope of the graph
In this case, we can see that a graph titled force versus distance is shown with force on the vertical axis and distance on the horizontal axis. The graph is a downward curve from top left to bottom right but sits very close the axes.
Now we can see that the slope of the graph must be a negative slope. The implication of this is that distance is inversely related to force.
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In the particle model, the object in motion is represented by a series of single points.
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.
three glasses of thickness 2cm , 4cm and 7cm are arranged adjacent .if their refractive indices arec 1.5 , 1.6 and 1.8 respectively. find the bottom of the prism to be raised above.
*Solution*
d = (2/1.5)+(4/1.6)+(7/1.8)
d =
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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Sanjay uses 225 N of force to move a wheelbarrow 18 m at a velocity of 1.8 m/s. What was the amount of power used?
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
What is power?
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:
P = FV........... Equation 1Where:
P = PowerF = ForceV = Velocity.From the question,
Given:
F = 225 NV = 1.8 m/sSubstitiute these values into equation 1
P = 225×1.8P = 405 NHence, the amount of power is 405 N.
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What are some products that you could purchase to help your performance in your current physical activity?
How would the product? Do you really think it is effective
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.
Physical Activity Product?Numerous bodily processes, like your heart rate and respiratory rate, depend on aerobic activity. It builds endurance and exercises your heart and lungs. One of the most well-liked pieces of commercial gym equipment is the treadmillFitness Products are those that are primarily designed for physical activity, physical training, health, or relaxation in a setting that emphasizes health and fitness, as well as similar uses and associated services, such as, but not limited to, health, fitness, nutrition (such as vitamins, health foods, and other sports, nutrition, body-...
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John recently suffered a gunshot wound to the abdomen and has undergone surgery. He is 37 years old, 6’ 0”, and weighs 200 lbs. John is currently on a medical ventilator to help him breathe.
1. Describe the metabolic response to injury (ebb phase and flow phase
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 ;-;
Which statement describes the horizontal motion of a horizontally launched projectile? The projectile’s acceleration is zero, so its velocity is zero. The projectile’s acceleration is –9.8 m/s2, so its velocity is changing. The projectile’s acceleration is zero, so its velocity is constant. The projectile’s acceleration is –9.8 m/s2, so its velocity is constant.
The statement that describes horizontal motion is the projectile’s acceleration is –9.8 m/s2, so its velocity is constant.
How does velocity of a projectile motion change with time?
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:
If the temperature of a gas were to decrease, what would happen to the volume of a gas?
Answer:
The volume will decrease also.
increase in temperature leads to an increase in volume and vice versa.