⦁ When a force of 6O N is applied to a mass of 30 kg, the acceleration of the mass will be:

Answers

Answer 1

Answer:

2m/s^2

Explanation:

Force is equal to;

mass × acceleration

therefore;

acceleration equals

force divided by mass

acceleration = 2m/s ^2

Answer 2

Answer:

f = 60N

m = 30kg

f= m×a

60N= 30 × a

a = 60/30

a = 2


Related Questions

what are some examples of the second law of motion

Answers

When you push on the pedals, your bicycle accelerates. You are increasing the speed of the bicycle by applying force to the pedals!

A piece of iron that has a mass of 19.6995 g is heated in a crucible in the same manner as the magnesium in this experiment. At the end of the experiment the iron oxide product had a mass of 27.2251 g

Answers

A piece of iron that has a mass of 19.6995 g is heated in a crucible in the same manner as the magnesium in this experiment. At the end of the experiment, the iron oxide product had a mass of 27.2251 g. The empirical formula of Iron oxide is FeO2.

The empirical formula of iron oxide can be calculated by using the following steps:

Mass of iron (Fe) = 19.6995 g

Mass of iron oxide (FeO) = 27.2251 g

Step 1: Calculate the mass of oxygen (O) in the compound.

Mass of oxygen = Mass of iron oxide - Mass of iron

Mass of oxygen = 27.2251 g - 19.6995 g

Mass of oxygen = 7.5256 g

Step 2: Convert the masses to moles.

Number of moles of iron (Fe) = Mass of iron / Molar mass of iron

The molar mass of iron (Fe) is approximately 55.845 g/mol.

Number of moles of iron = 19.6995 g / 55.845 g/mol

Number of moles of oxygen (O) = Mass of oxygen / Molar mass of oxygen

The molar mass of oxygen (O) is approximately 15.999 g/mol.

Number of moles of oxygen = 7.5256 g / 15.999 g/mol

Step 3: Determine the mole ratio.

Divide the number of moles by the smallest number of moles to obtain the mole ratio.

Number of moles of iron (Fe) ≈ 0.352 moles

Number of moles of oxygen (O) ≈ 0.470 moles

The mole ratio is approximately 0.352:0.470, which simplifies to 0.752:1.00 when rounded to the nearest whole number.

Step 4: Simplify the ratio to obtain the empirical formula.

The simplified mole ratio is approximately 1:1.

Therefore, based on the given data, the empirical formula of iron oxide is FeO2 (Iron(II) oxide).

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Which of the statements below describes how a motor operates

Answers

Answer:

need Read this excerpt from "Not a Dove, But No Longer a Hawk."

Despite these misgivings, I do not see how we can do anything but continue to prosecute the war. We can and should limit the violence and the suffering being inflicted on the civilians as much as possible, but for whatever reasons, successive Administrations in Washington have carried the commitment in Vietnam to the point where it would be very difficult to prevent any precipitate retreat from degenerating into a rout. If the United States were to disengage from Vietnam under adverse conditions, I believe that the resulting political and psychological shockwaves might undermine our entire position in Southeast Asia.

Which statement best describes the paradox in this excerpt?

The author acknowledges that civilians should not suffer, but states that the civilians must retreat.

The author suggests that the administrators in Washington are busy making policies while overlooking the need to end the war.

The author acknowledges that the violence should stop, but admits that a retreat might have dire consequences.

The author suggests that the Vietnamese people are counting on US support, though their political ideals are not democratic.

Explanation:

A football field is 52 yards wide by 112 yards long. What is the area

Answers

Answer:

5824 yards^2

Explanation:

area = length x width

area = 112 x 52

area = 5824

Answer:

5824 squared yards

Explanation:

whats ur funniest thing u have ever done in ur life mine was me sending a picture of me and my friend at the beach to my principle

Answers

A lot tbh I can’t even say

(B) The force on the upper charge is to the left and twice the magnitude of the force on the bottom
charge, which is to the right. This makes the net force to the left and the torque on the rod to be
counterclockwise.
A rigid insulated rod, with two unequal charges attached to its ends, is placed in a uniform electric field E as
shown above. The rod experiences a
(A) net force to the left and a clockwise rotation
(B) net force to the left and a counterclockwise rotation
(C) net force to the right and a clockwise rotation
(D) net force to the right and a counterclockwise rotation
(E) rotation, but no net force

Answers

A rigid insulated rod, with two unequal charges attached to its ends, is placed in a uniform electric field E. The rod experiences a net force to the left and a counterclockwise rotation. The correct option is B.

The unequal charges attached to the ends of the rod experience a force due to the uniform electric field. The upper charge experiences a force to the left, while the bottom charge experiences a force to the right.

According to Coulomb's Law, the magnitude of the force between two charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Since the upper charge is twice the magnitude of the bottom charge, the force on the upper charge will be twice as strong.

Therefore, the net force on the rod will be to the left, since the force on the upper charge to the left is greater than the force on the bottom charge to the right. Additionally, the torque on the rod will be counterclockwise since the forces are acting in opposite directions and creating a rotational force.

Thus, the correct option is (B) net force to the left and a counterclockwise rotation.

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The distance between Carol's house and her uncle's house is 24 km. What is her speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle.

Answers

Carol's speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle is 36km/hr.

How to calculate average speed?

The average speed of a moving body can be calculated by dividing the distance moved by the time taken.

According to this question, the distance between Carol's house and her uncle's house is 24 km. The speed it will take her to get to her uncle's house in 40 minutes by motorcycle is as follows:

Average speed = 24km ÷ 40/60 hour

Average speed = 36km/hr

Therefore, Carol's speed in kilometers per hour in order to get to her uncles house in 40 minutes by motorcycle is 36km/hr.

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The low-pressure area near Earth’s equator is filled by cool air moving in from ________. Btw this is science

Answers

Answer:

the north and south pole

Explanation:

this should be the correct answer

The isotope radium-226 decays into radon-222, with a half-life of around 1,600 years. If a rock contained 6 grams of radium-226 when it reached its closure temperature but only 0.375 grams when it was discovered, which two statements about the rock are true?
The rock reached its closure temperature 6,400 years ago.
The rock reached its closure temperature 4,800 years ago.
The rock had 2.625 grams of radon-222 1,600 years ago.
When the rock was discovered, it had 5.625 grams of radon-222.
When the rock was discovered, it had 3.375 grams of radon-222.

Answers

This statement is true. If the rock contained 6 grams of radium-226 at the closure temperature and 0.375 grams at the time of discovery, the remaining mass difference (6 - 0.375 = 5.625 grams) is attributed to the decay of radium-226 into radon-222. Therefore, the rock had 3.375 grams of radon-222 when it was discovered. Based on the given information, statement 5 is the only true statement.

To determine the statements that are true, let's consider the information provided.

The rock reached its closure temperature 6,400 years ago.

This statement is not true. The closure temperature is the temperature at which a mineral retains its daughter isotopes without any further loss or gain. However, the closure temperature is not directly related to the half-life of the parent isotope.

The rock reached its closure temperature 4,800 years ago.

This statement is not true. Similar to the previous statement, the closure temperature is not determined solely based on the half-life of the parent isotope.

The rock had 2.625 grams of radon-222 1,600 years ago.

This statement is not true. The amount of radon-222 present 1,600 years ago cannot be determined directly from the information provided.

When the rock was discovered, it had 5.625 grams of radon-222.

This statement is not true. The amount of radon-222 when the rock was discovered is given as 0.375 grams, not 5.625 grams.

When the rock was discovered, it had 3.375 grams of radon-222.

This statement is true. If the rock contained 6 grams of radium-226 at the closure temperature and 0.375 grams at the time of discovery, the remaining mass difference (6 - 0.375 = 5.625 grams) is attributed to the decay of radium-226 into radon-222. Therefore, the rock had 3.375 grams of radon-222 when it was discovered.

Based on the given information, statement 5 is the only true statement.

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The following table contains the applied forces and corresponding extension of a perfect spring. Determine the spring stiffness. Provide your answer in N/m to 4 decimal places. X (m) F (N) 0. 43 59. 34 0. 52 71. 76 0. 57 78. 66 0. 74 102. 12 0. 81 111. 78 0. 88 121. 44 0. 96 132. 48 Answer:

Answers

The spring stiffness, or spring constant, of the given perfect spring is approximately 137.9623 N/m. This means that for every meter of extension, the spring will exert a force of 137.9623 N.

This value was obtained by applying Hooke's Law and calculating the ratio of the change in force to the change in extension using two data points from the table.

To determine the spring stiffness, we need to calculate the spring constant (k) using Hooke's Law, which states that the force applied on a spring is directly proportional to the extension it undergoes.

Hooke's Law can be represented as F = kx, where F is the applied force and x is the extension of the spring.

In the given table, we have the applied forces (F) and corresponding extensions (x). We can use any two data points from the table to find the spring constant.

Let's choose the first and last data points from the table:

(x1, F1) = (0.43 m, 59.34 N) and (x2, F2) = (0.96 m, 132.48 N).

Using Hooke's Law, we can calculate the spring constant (k) as follows:

k = (F2 - F1) / (x2 - x1)
  = (132.48 N - 59.34 N) / (0.96 m - 0.43 m)
  = 73.14 N / 0.53 m
  ≈ 137.9623 N/m (rounded to 4 decimal places)

Therefore, the spring stiffness, or spring constant, is approximately 137.9623 N/m.

Hooke's Law is a fundamental concept in physics that describes the relationship between the force applied on a spring and the resulting extension it undergoes.

The formula F = kx represents this relationship, where F is the applied force, k is the spring constant, and x is the extension of the spring.

By using two data points from the table, we can calculate the spring constant by finding the ratio of the change in force to the change in extension.

This calculation allows us to quantify the stiffness of the spring.
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The moon revolves around Earth. The moon travels at a speed of about 1 km/s. What keeps the moon in orbit around Earth?

A.Nuclear Fusion
B.Gravity
C.Magnetism
D.Ocean Tides

Answers

Answer:

I know its not A or D so its B or C and the more logical answer would be B. gravity

Explanation:

A block of concrete weights 1200 N. It’s base is a square with sides 4m long. what pressure does the concrete block exert on the ground ?

Answers

Explanation:

pressure=force/area

area =4×4=16 m^2

therefore p= 1200÷16

= 75 Nm^-2/Pa

you go on a car trip with your family. The total distance you travel is 120 miles, and it takes 3 hours to travel that far. What is the average speed?

Answers

Answer: Since Distance= Rate X Time

Average Speed = Total Distance/ Total Time

Average Speed = 120 miles /3 hours

Average Speed = 40 miles per hour (40m/h)

Explanation:

the electromagnetic spectrum organizes electromagnetic waves based on their

Answers

All electromagnetic waves are organized into a continuum called the electromagnetic spectrum according to their frequency and wavelength.

What are frequency and wavelength?

The wavelength, which will also apply to troughs, is the separation between two wave crests. The frequency is measured on cycles per second (Hz), which is the quantity of vibrations that cross a specific area in a second (Hertz). In this article, the relationship between frequency and wavelength is covered.

What is an example of a wavelength?

Here are some wavelength examples: Yellow Light is a prime example. The wavelength range of all visible light is 400 to 700 nanometers (nm). The wavelength of yellow light is 570 nanometers or such. Wavelength (nm) (nm)

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A chair of weight 110N lies atop a horizontal floor; the floor is not frictionless. You push on the chair with a force of F = 39.0N directed at an angle of 36.0˚ below the horizontal and the chair slides along the floor.

Using Newton’s laws, calculate the normal force that the floor exerts on the chair.

Answers

Answer:

149 N

Explanation:

We can start by resolving the forces acting on the chair in the vertical direction:

N - mg = 0

where N is the normal force exerted by the floor on the chair, m is the mass of the chair, and g is the acceleration due to gravity.

Since the chair is not accelerating vertically, we know that the sum of the forces in the vertical direction is zero.

Now, let's resolve the forces acting on the chair in the horizontal direction. We'll use the force you applied and the force of friction between the chair and the floor:

F - f = ma

where a is the acceleration of the chair, and f is the force of friction.

The force of friction can be calculated as:

f = μN

where μ is the coefficient of friction between the chair and the floor.

We don't know the coefficient of friction or the acceleration of the chair, so we can't solve this equation directly. However, we can use the fact that the chair is sliding along the floor, which tells us that the force of friction is equal and opposite to the force you applied:

f = F sinθ = 39.0 N * sin(36.0°) ≈ 23.5 N

Therefore, we can substitute this value for f in the horizontal force equation:

F - f = ma

39.0 N * cos(36.0°) - 23.5 N = ma

Solving for a, we get:

a ≈ 0.34 m/s^2

Now we can go back to the vertical force equation and solve for the normal force:

N - mg = 0

N = mg = (110 N) + (m chair)(a)

We don't know the mass of the chair, but we can use the acceleration we just calculated to find it:

a = F/(m chair)

m chair = F/a ≈ 115 kg

Substituting this value for the mass of the chair, we get:

N = mg = (110 N) + (115 kg)(0.34 m/s^2)

N ≈ 149 N

Therefore, the normal force that the floor exerts on the chair is approximately 149 N.

A tiger leaps horizontally from a 6.5 m tall rock with a speed of 3.5 ms. How many seconds will it take for her to land?

Answers

Answer: 1.15 s

Explanation:

Given

Height of rock h=6.5 m

The horizontal speed of tiger u=3.5 m/s

In the vertical direction, there is no initial speed

Using the equation of motion

\(\Rightarrow h=ut+\frac{1}{2}at^2\\\\\Rightarrow 6.5=0+\frac{1}{2}\times 9.8\times t^2\\\\\Rightarrow t=\sqrt{\dfrac{13}{9.8}}=1.15\ s\)

Time taken is 1.15 s

Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy

Answers

The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.

What is the process of sublimation in carbon dioxide?

During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.

As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.

Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.

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A uniform sphere of mass 0.85 kg and radius 4.2cm is held in
place by a mass less rope attached to a frictionless wall at d = 8
em above the center of the sphere. Find
a) The tension of the rope and
b) The force of the wall on the sphere

Answers

The answer to the given question is as follows:

a) The tension in the rope is 4.37 N.

b) The force of the wall on the sphere is equal in magnitude which is 4.37 N  and opposite in direction to the tension in the rope.

a) The tension of the rope:

Since the sphere is in equilibrium, there must be no net force exerted on it. Thus, the tension in the rope and the gravitational pull are the two forces affecting the sphere.

The gravitational force (weight) can be calculated using the formula:

\(F_{gravity} = mg\)

where

m is the mass of the sphere and

g is the acceleration due to gravity (approximately 9.8 m/s²).

\(F_{gravity}\)  = 0.85 kg × 9.8 m/s²

             = 8.33 N

The force needed to balance the gravitational pull is equal to the tension in the rope. Since the rope is secured 8 cm above the sphere's centre, it produces a torque that balances the torque brought on by gravity.

The torque due to the tension in the rope is given by:

\(\tau_{tension} = T\times d\)

where

T is the tension in the rope and

d is the distance from the point of rotation (centre of the sphere) to the line of action of the tension force (8 cm).

The torque due to the gravitational force is given by:

\(\tau_{gravity} = F_{gravity} \times r\)

where r is the radius of the sphere.

For equilibrium, the torques must be equal:

\(\tau_{tension}=\tau_{gravity}\)

\(T \times d = F_{gravity} \times r\)

Substituting the values:

T × 8 cm = 8.33 N × 4.2 cm

Solving for T:

T = (8.33 N × 4.2 cm) / 8 cm

T ≈ 4.37 N

Therefore, the tension in the rope is 4.37 N.

b) The force of the wall on the sphere:

The force exerted by the wall on the sphere is proportional to and directed in the opposite direction as the tension in the rope.

As a result, the force of the wall on the sphere is 4.37 N, but it is directed downward.

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a force of 20,000 n will cause a 1cm × 1cm bar of magnesium to stretch from 10 cm to 10.045 cm. calculate the modulus of elasticity, both in gpa and psi.

Answers

The modulus of elasticity of the magnesium bar can be calculated using the formula:

Modulus of Elasticity = (Force / Area) / (Change in Length / Original Length)

Substituting the values given in the problem:

Modulus of Elasticity = (20,000 N / (1 cm x 1 cm)) / ((0.045 cm) / 10 cm) = 4,444,444.44 Pa

Converting Pa to GPa and psi:

Modulus of Elasticity = 4.44 GPa or 643,600.79 psi

In simpler terms, the modulus of elasticity measures the stiffness of a material. It is the ratio of the applied stress to the resulting strain in a material. In this problem, we are given the force applied to a magnesium bar, its dimensions, and the resulting change in length.

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HF Radio Blackouts The Empirical HIDIVE model suggests that the HF blackout intensity varies as a function of f-1.24, where fis frequency and COS0.⁹(0), where is solar zenith angle. If a radio blackout occurs at a maximum of 15 MHz at 10 AM Eastern Daylight Time over Laurel, Maryland on September 10th, then what is the maximum frequency affected by the blackout and at what location? [An approximate answer within 0.1 MHz and 1° lat/lon will be accepted.

Answers

The maximum frequency affected by the blackout is approximately 7.943 MHz, and the location of the blackout is Laurel, Maryland, which is located at approximately 39.09°N, 76.85°W.

HF radio blackouts are a phenomenon that impacts High Frequency (HF) radio waves by causing them to become inaudible or distorted. The severity of an HF radio blackout is determined by a number of factors, including the frequency of the radio waves, the time of day, and the solar zenith angle.

Let us calculate the maximum frequency affected by the blackout: According to the model, the frequency of the radio wave is inversely proportional to the power of 1.24. So we can write:f∝(P)-1.24, Where f is the frequency of the radio wave, and P is the power of the blackout. So if a blackout occurs at 15 MHz, then we can find the power of the blackout:P=15^(1.24)P=26.98

So the power of the blackout is approximately 26.98.Next, we need to calculate the maximum frequency affected by the blackout. We can do this by using the formula: f∝(P)-1.24, where f is the frequency of the radio wave, and P is the power of the blackout. So if the power of the blackout is 26.98, then we can find the frequency of the radio wave:f=26.98^(-1/1.24)f=7.943MHz

So the maximum frequency affected by the blackout is approximately 7.943 MHz. Now let us find the location of the blackout: According to the question, the blackout occurred at 10 AM Eastern Daylight Time over Laurel, Maryland on September 10th. So the location of the blackout is Laurel, Maryland, which is located at approximately 39.09°N, 76.85°W.

Therefore, the maximum frequency affected by the blackout is approximately 7.943 MHz, and the location of the blackout is Laurel, Maryland, which is located at approximately 39.09°N, 76.85°W.

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what is ap physics equation sheet?

Answers

The AP Physics Equation Sheet is a resource provided by the College Board, which administers the Advanced Placement (AP) program in the United States. The AP Physics exams cover a range of topics in physics, including mechanics, electricity and magnetism, and thermodynamics, among others.

The essential equations and formulae that students could utilise on the test are included on the equation page. It is meant to aid in exam preparation and make sure that students have access to the relevant equations.

The equation sheet contains formulae for many different physical quantities, including, but not limited to, force, energy, power, velocity, acceleration, and electric charge. Formulas for specific subjects are also included, including those for Newton's equations of motion, work and energy, momentum and collisions, and electric circuits.

During the exam, students are permitted to utilise the AP Physics Equation Sheet, but it is assumed that they are already familiar with the equations and know how to use them to answer questions.

The equation sheet is not a replacement for a thorough comprehension of the fundamental ideas and tenets of physics.

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5000 j of heat are added to two moles of an ideal monatomic gas, initially at a temperature of 500 k, while the gas performs 7500 j of work. what is the final temperature of the gas?

Answers

The final temperature of the gas is 399.76 K when 5000 j of heat is added to two moles of an ideal monatomic gas, initially at a temperature of 500 k and the gas performs 7500 j of work.

The First Law of Thermodynamics states that the change in internal energy (ΔU) of a system is equal to the heat added (Q) minus the work done (W) by the system:

ΔU = Q - W

For an ideal monatomic gas, the change in internal energy (ΔU) can be calculated using the equation:

ΔU = (3/2) ×n× R ×ΔT, where n is the number of moles, R is the ideal gas constant (8.314 J/(mol K)), and ΔT is the change in temperature.

Given: Q = 5000 J (heat added)

W = 7500 J (work done)

n = 2 (number of moles)

Initial temperature (T1) = 500 K

Using the formula,

ΔU = Q - W,

(3/2) ×n× R ×ΔT = Q - W

(3/2) × 2 ×  8.314 × ΔT = 5000 - 7500

ΔT = -100.23 K

so the final temperature T2 = 500 - 100.23

T2 = 399.76 K

Therefore, the final temperature of the gas is 399.76 K.

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the force per meter between the two wires of a jumper cable being used to start a stalled car is 0.219 n/m. what is the current in the wires, given they are separated by 3 cm?

Answers

the current in the wires of the jumper cable is approximately 0.1648 Amperes (A).

To find the current in the wires of the jumper cable, we can use Ampere's Law, which states that the magnetic field around a closed loop is directly proportional to the electric current passing through the loop.

In this case, we have two parallel wires separated by a distance of 3 cm. The force per meter between the wires, given as 0.219 N/m, is the force per unit length experienced by each wire due to the magnetic field produced by the current in the other wire.

To find the current, we can use the formula for the force per unit length between two parallel wires:

Force per unit length = (μ₀ * I₁ * I₂) / (2π * separation distance)

Where:

Force per unit length is 0.219 N/m

μ₀ is the permeability of free space (4π × 10^(-7) T·m/A)

I₁ and I₂ are the currents in the two wires (we assume they are equal)

We can rearrange the formula to solve for the current (I):

I = (2π * separation distance * Force per unit length) / (μ₀)

Converting the separation distance from centimeters to meters (1 cm = 0.01 m), we have:

I = (2π * 0.03 m * 0.219 N/m) / (4π × 10^(-7) T·m/A)

Simplifying the expression, we get:

I ≈ 0.1648 A

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You pull a sled with a package on it across a snow-covered flat lawn. If you
apply a force of 65.1 N to the sled, it accelerates at 1.24 m/s2. What is the
combined mass of the package and the sled? (Assume there is no friction.)

You pull a sled with a package on it across a snow-covered flat lawn. If youapply a force of 65.1 N to

Answers

Answer:52.5

Explanation:

You pull a sled with a package on it across a snow-covered flat lawn. If you apply a force of 65.1 N to the sled, it accelerates at 1.24 m/s2. The combined mass of the package and the sled m = 52.50 kg

The given data to find Mass,

The force applied to the sled, F = 65.1 N

Acceleration of the sled, a = 1.24 m/s²

What is force?

Forces are defined by both strength and direction.

Force is a vector quantity. It is a quantity that is described by Magnitude and Direction. The strength of a force is its magnitude and the direction, well it is the direction the magnitude is applied on the object.

We need to find the combined mass of the package and the sled. Let it is m. Using definition of force as follows :

F = ma

m = F/a

m = 65.1 /1.24

Mass, m = 52.5 Kg.

If you apply a force of 65.1 N to the sled, it accelerates at 1.24 m/s2. The combined mass of the package and the sled m = 52.50 kg

Hence, Option C is the correct answer.

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The human pupil, when maximally dilated, has a diameter of roughly 10 mm. How much more light does the primary mirror of the Magellan telescope (measuring 6 m in diameter) collect compared to the human eye

Answers

The amount of light collected by Magellan telescope with respect to human eyes is 1.13 x 10⁶  times that of human pupil.

Amount of light collect by human pupil

The amount of light that will pass through the given area of human pupil when maximally dilated is calculated as follows;

A = πd²/4

A = π(0.01)²/4

A = 2.5 x 10⁻⁵π m²

Amount of light collect by Magellan telescope

A = πd²/4

A = π(6)²/4

A = 9π m²

with respect to human eyes = ( 9π m²)/(2.5 x 10⁻⁵π m²)

= 1.13 x 10⁶  x human pupil

Thus, the amount of light collected by Magellan telescope with respect to human eyes is 1.13 x 10⁶  times that of human pupil.

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EASY QUESTIONS! DUE IN 15 MIN WILL MARK BRAINLIEST.

1. What is the sum of a vector 8 m south and a vector 12 m north? *
2. What is the sum of a vector 12 m north and a vector 8 m north? *

PLEASE SHOW WORK AND EXPLAIN

Answers

Explanation:

As they are in same direction, you can add them directly. And result is 12 + 8 m = 20 m North. If you use vector addition: Vectors = 12m & 8 m & angle b/w them is 0°(as both are in same direction).

A mass is sliding on a frictionless surface with a speed v. It runs into a linear spring with a spring constant of k, which compresses from position xi to position xf.
a) Write a general expression for the force that the spring exerts on the mass, in term of k and x. Choose the initial position of the front of the spring to be xi=0.
b) Evaluate the relationship in part (b) to arrive at an expression for the work done in terms of known variables.
c) Solve for the numerical value of the work done in Joules given that xi = 0, xf = 58 cm, and k = 55 N/m.

Answers

a) The force exerted by the spring on the mass is given by F = -kx, where F is the force, k is the spring constant, and x is the displacement of the spring from its equilibrium position.

b) The work done by the spring can be calculated using the work-energy principle.

The work done is equal to the change in the spring's potential energy, which is given by the formula W = (1/2)k(xf² - xi²), where W is the work done, k is the spring constant, xf is the final displacement of the spring, and xi is the initial displacement of the spring.

c) Plugging in the given values, xi = 0, xf = 58 cm = 0.58 m, and k = 55 N/m into the formula W = (1/2)k(xf² - xi²), we can calculate the work done as follows:

W = (1/2)(55 N/m)((0.58 m)² - (0 m)²)

W = (1/2)(55 N/m)(0.3364 m²)

W ≈ 9.30 J

Determine the force exert on the mass?

a) The force exerted by a spring is proportional to the displacement from its equilibrium position and is given by Hooke's Law as F = -kx, where F is the force, k is the spring constant, and x is the displacement.

Determine the work done?

b) The work done by the spring is equal to the change in its potential energy.

Using the formula for the potential energy of a spring, U = (1/2)kx², the work done is given by W = ΔU = (1/2)k(xf² - xi²), where W is the work done, k is the spring constant, and xf and xi are the final and initial displacements of the spring, respectively.

Determine the work done in joule?

c) Plugging in the given values, xi = 0 and xf = 0.58 m, and k = 55 N/m into the formula W = (1/2)k(xf² - xi²), we can calculate the work done.

Substituting the values yields W = (1/2)(55 N/m)((0.58 m)² - (0 m)²), which simplifies to W ≈ 9.30 J.

Therefore, the numerical value of the work done by the spring is approximately 9.30 Joules.

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Which legal measure allowed whites in southern states to keep blacks from voting after reconstruction ended?.

Answers

Jim Crow laws was the legal measure which allowed whites in southern states to keep blacks from voting after reconstruction ended.

What was JIm Crow law?

These were the state and local laws which enforced racial segregation in the Southern part of the United States.

Due to this laws, whites in southern states kept blacks from voting after reconstruction ended.

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Doe the baby diaper tabs go to the front or back. Huggies diaper.

Answers

Answer:

back lol

Explanation:

Pull the tabs and wrap around to stick to the front of the diaper:)

Answer:

Front of the diaper

You take the straps that are connected to the back of the diaper and pull the. forward to attach to the front.

hope this helps.

to increase the range of the water, isabella places her thumb on the hose hole and partially covers it. assuming that the flow remains steady, what fraction f of the cross-sectional area of the hose hole does she have to cover to be able to spray her friend?

Answers

The fraction is f = 84.196 % which is equivalent to 84%

We know that the value of acceleration due to gravity is

g = 9.8m/s^2

y₀ = 1 m

x = 10 m

and the time taken is not given

thus time taken = t sec

A₀ = π 1.5²

Thus the equation becomes;

y = y₀ + ut + 1/2 gt²

⇒ 0 = y₀ - 1/2 gt²

⇒ t = \(\sqrt{\frac{2y.}{g} }\)

After substituting the values we get

⇒ t = 0.45152 seconds

Thus x = x₀ + vt

10 = 0 + 0.45152 v

On further solving we get

v = 22.14741 m/s

From continuity equation we get

Av = A₀v₀

On substituting the values we get

⇒ A = 1.11706 cm^2

Thus the fraction is given by

f = ( A₀ - A ) / A₀ X 100 %

After substituting the values we get

f = 84.196 % which is equivalent to 84%

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