See Conceptual Example 6 to review the concepts involved in this problem. A 12.0-kg monkey is hanging by one arm from a branch and swinging on a vertical circle. As an approximation, assume a radial distance of 86.4 cm is between the branch and the point where the monkey's mass is located. As the monkey swings through the lowest point on the circle, it has a speed of 1.33 m/s. Find (a) the magnitude of the centripetal force acting on the monkey and (b) the magnitude of the tension in the monkey's arm.

Answers

Answer 1

Answer:

(a)  24.56 N

(b) 142.28 N

Explanation:

(a)

The designation assigned to something like the net force pointed toward the middle including its circular route seems to be the centripetal force. The net stress only at lowest point constitutes of the strain throughout the arm projecting upward towards the middle as well as the weight pointed downwards either backwards from the center.

The centripetal function is generated from either scenario by Equation:

⇒  \(Fc = \frac{mv^2}{r}\)

On putting the values, we get

⇒       \(=\frac{12\times 1.33^2}{0.864}\)

⇒       \(=24.56 \ N\)

(b)

Use T to denote whatever arm stress we can get at the bottom including its circle:

⇒  \(Fc = T - mg =\frac{ mv^2}{r}\)

⇒  \(T = mg + Fc\)

⇒      \(=12\times 9.81+24.56\)

⇒      \(=142.28 \ N\)


Related Questions

Complete the following sentence.

_______ (2 words) refers to research reports that are published in journals that use outside experts as gatekeepers to determine their scientific merits.

Answers

Could it be "Scientific research"?

A motorcycle stoop is at a traffic light, when the light turns green, the motorcycle accelerates to a speed of 78 km/h over a distance of 50 m. What is the average acceleration of the motorcycle over this distance?

Answers

The average acceleration of the motorcycle over the given distance is approximately 9.39 m/s².

To calculate the average acceleration of the motorcycle, we can use the formula:

Average acceleration = (final velocity - initial velocity) / time

First, let's convert the final velocity from km/h to m/s since the distance is given in meters. We know that 1 km/h is equal to 0.2778 m/s.

Converting the final velocity:

Final velocity = 78 km/h * 0.2778 m/s = 21.67 m/s

Since the motorcycle starts from rest (initial velocity is zero), the formula becomes:

Average acceleration = (21.67 m/s - 0 m/s) / time

To find the time taken to reach this velocity, we need to use the formula for average speed:

Average speed = total distance/time

Rearranging the formula:

time = total distance / average speed

Plugging in the values:

time = 50 m / 21.67 m/s ≈ 2.31 seconds

Now we can calculate the average acceleration:

Average acceleration = (21.67 m/s - 0 m/s) / 2.31 s ≈ 9.39 m/s²

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Ancient cultures built some impressive structures that incorporated astronomical functions and information (Stonehenge, Chichen Itza, the Great Pyramid). A friend or acquaintance of yours tries to argue that some of these structures and artifacts are evidence of "ancient astronauts" or visits by intelligent aliens. How would you rebut or argue against this idea?

Answers

Hahanshshsnsdndjdjdndn


The critical angle for a transparent
substance is 39°. Calculate the
refractive Index of the substance

Answers

Answer:

1.58901572907

Explanation:

n = 1 / sin(c)

\(n=\frac{1}{sin(c)}\)

In the electric of capacitance 4 ,3 and 2 microfaradas, respectively, are connected in senes to a battery of 260 V , calculate the charge?​

Answers

The total charge in the circuit is 240 microcoulombs.

To calculate the total charge in a series circuit with capacitors, we need to use the formula Q = CV, where Q represents the charge, C is the capacitance, and V is the voltage.

In this case, we have three capacitors connected in series with capacitances of 4 μF, 3 μF, and 2 μF, respectively. The voltage across the circuit is 260 V.

To find the total capacitance (C_total) in a series circuit, we use the reciprocal rule: 1/C_total = 1/C1 + 1/C2 + 1/C3. Plugging in the values, we get 1/C_total = 1/4 + 1/3 + 1/2.

Simplifying this equation gives us 1/C_total = (3 + 4 + 6)/12 = 13/12. Taking the reciprocal, we find C_total = 12/13 μF.

Now, we can calculate the total charge (Q_total) using Q = C_total × V. Substituting the values, we get Q_total = (12/13) μF × 260 V.

Calculating the numerical value, Q_total = (12/13) × 260 = 240 μC (microcoulombs).
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When electrons are gained, a ion is formed.

Answers

Answer:

Ions are formed when atoms lose or gain electrons in order to fulfill the octet rule and have full outer valence electron shells. When they lose electrons, they become positively charged and are named cations. When they gain electrons, they are negatively charged and are named anions.

Explanation: CAN I RECEIVE A BRAINLIEST PLEASE

If sound waves travel at 350 m/s on a warm humid day. And you are submerged underwater. Is the sound you hear while below the surface traveling faster, slower or at the same rate as the sound you hear above the water? Explain your answer

Answers

ANSWER:

Sound waves are faster in water

STEP-BY-STEP EXPLANATION:

Sound travels differently in water than it does in air.

Sound waves travel faster in denser substances because neighboring particles will more easily collide with each other.

Water is denser than air, which means that sound waves travel much faster in water than in air.

Although they travel faster in water, we must keep in mind that the human ear evolved to hear sounds in the air and is not as useful when submerged in water.

What is the difference between the equilibrium vector and the resultant vector

Answers

the difference between a resultant and equilibrant vector is that resultant vector is a direct quantity, one with both magnitude and direction, while the equilibrant vector is a force equal to, but opposite of, the resultant sum of vector forces, that force which balances other forces.

Which TWO statements describe the ocean floor giving brainliest please help

Which TWO statements describe the ocean floor giving brainliest please help

Answers

Answer:

A and B.

Explanation:

Answer C is wrong - there are no tall trees underwater

Answer D is wrong, there are mountain chains underwater due to plate tectonics.

A small bag of sand is released from an ascending hot‑air balloon whose constant, upward velocity is 0=2.95 m/s. Knowing that at the time of the release the balloon was 37.8 m above the ground, determine the time it takes for the bag to reach the ground from the moment of its release. Use =9.81 m/s2.

A small bag of sand is released from an ascending hotair balloon whose constant, upward velocity is 0=2.95

Answers

The time taken is approximately 2.08 seconds for the bag of sand to reach the ground from the moment of its release.

To determine the time it takes for the bag of sand to reach the ground, we can use the kinematic equation for vertical motion. The equation is given as:

h = ut + (1/2)gt^2

Where:

h = height (37.8 m)

u = initial velocity (0 m/s)

g = acceleration due to gravity (-9.81 m/s^2, considering downward motion)

t = time

Since the balloon is ascending with a constant upward velocity of 2.95 m/s, the initial velocity of the bag is also 2.95 m/s in the upward direction. Therefore, we need to consider the initial velocity as negative.

Substituting the known values into the equation, we have:

37.8 = (-2.95)t + (1/2)(-9.81)t^2

Simplifying the equation further, we get:

-4.905t^2 - 2.95t + 37.8 = 0

Solving this quadratic equation for time, we find two solutions: t = 2.08 s and t = -3.61 s. Since time cannot be negative, we discard the negative value.

Therefore, it takes approximately 2.08 seconds for the bag of sand to reach the ground from the moment of its release.

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What is Concave lenses ?​

Answers

Explanation:

A concave lens is also known as a diverging lens because it is shaped round inwards at the centre and bulges outwards through the edges, making the light diverge. They are used to treat myopia as they make faraway objects look smaller than they are.

From 1981 to 2001, which change was most likely happening in the US economy?

Answers

What occurs most of the time is the transformation that was brought about in the economy of the United States by a rise in consumer spending that occurred between 1981 and 2001.

What exactly is the American economy?

Despite the fact that the economy of the United States is now one of the most stable economies in the world, consumer expenditure went increased from 1981 to 2001, which contributed to this trend.

And in terms of economics, there will be a positive shift in the state of the economy whenever there is spending on the part of consumers.

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Answer: the answer is C

Explanation:

an increase in spending by consumers

edg2023

During a run near the end of Cross-Country practice, Savanna maintained an average speed of 6.78 m/s for 2.00 minutes. What distance (in meters) did Savanna run during this time?

Answers

The distance (in meters) that Savanna run during this time will be 13.56 meters.

How to calculate the distance?

From the information, we are told that during a run near the end of Cross-Country practice, Savanna maintained an average speed of 6.78 m/s for 2.00 minutes.

Average speed is calculated by dividing total distance that something has traveled by the total amount of time that it took it to travel that distance. The average speed is how fast something is going at a particular moment. Average speed simply measures the average rate of speed over the extent of a trip.

It should be noted that the distance will be calculated as:

Distance = Speed × Time

Distance = 6.78 × 2

Distance = 13.56

Therefore, based on the information given it can be seen that the distance (in meters) that Savanna run during this time will be 13.56 meters.

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Only one setup below will light the bulb. Which setup will light the bulb?

Only one setup below will light the bulb. Which setup will light the bulb?

Answers

Answer:

A. it's got everything set.... correct connection

The setup that will light the bulb in the given different circuit diagram is circuit A, because it is the only circuit is that is closed.

What is a closed circuit?

A complete circuit or closed circuit is the circuit that will allow the flow of electric current through it.

When a circuit is closed or complete, the connection of the different components of the circuit is complete.

From the image given, only option A has complete connection of different components of the circuit.

Thus, the setup that will light the bulb in the given different circuit diagram is circuit A, because it is the only circuit is that is closed.

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Question is in attachment!
Thanks!
Concept : Thermodynamics ​

Question is in attachment! Thanks! Concept : Thermodynamics

Answers

A cylinder with a movable piston contains 3 moles of hydrogen at standard temperature and pressure. The walls of the cylinder are made of a heat insulator, and the piston is insulated by having a pile of sand on it. By what factor does the pressure of the gas increase if the gas is compressed to half its original volume?

Solution :

The cylinder is completely insulated from its surroundings. As a result, no heat is exchanged between the system (cylinder) and its surroundings. Thus, the process is adiabatic.

Initial pressure inside the cylinder =P1

Final pressure inside the cylinder =P2

Initial volume inside the cylinder =V1

Final volume inside the cylinder =V2

Ratio of specific heats, γ=CVCP=1.4

For an adiabatic process, we have:

P1V1γ=P2V2γ

The final volume is compressed to half of its initial volume.

∴V2=V1/2

P1V1γ=P2(V1/2)γ

P2/P1=V1γ/(V1/2)γ

=21.4=2.639

Hence, the pressure increases by a factor of 2.639.

Answer:

The cylinder is fully isolated from the rest of the environment.

There is no heat exchange between the system (cylinder) and its surroundings as a result of the design. As a result, the process is called adiabatic.

P1 represents the initial pressure inside the cylinder.

P2 is the final pressure within the cylinder.

V1 is the volume of the cylinder at its beginning.

The final volume of the cylinder is equal to V2.

The specific heat ratio, = Cp / Cv = 1.4,

We have the following for an adiabatic process:

P1V1γ = P2V2γ

After compression, the final volume is reduced to half of its original size.

Hence,

V2 = V1 / 2

P1V1γ = P2(V1 / 2)γ

P2 / P1 = V1γ / (V1 / 2)γ

= 21.4

We get,

= 2.639

Therefore, the pressure increases by a factor of 2.639

Explanation:

hope it helps you

SHOW WORK.
What is the acceleration of the object
whose motion is described by the graph
above?
-0.0 m/s^2
-9.0 m/s^2
-4.5 m/s^2
-4.0 m/s^2

SHOW WORK.What is the acceleration of the objectwhose motion is described by the graphabove?-0.0 m/s^2-9.0

Answers

Acceleration is the rate of change of velocity, so if velocity is linear, the acceleration is the slope of its graph.

Here, the line passes through the points (0, 1) and (0.5, 3), so its slope is

(3 m/s - 1 m/s) / (0.5 s - 0 s) = (2 m/s) / (0.5 s) = 4 m/s²

how did the Ojibwe protect walleye populations?


a.) they count the total number of walleye eggs that a female lays each year.

b.) did you Spears to catch walleye.

c.) they only fish for walleye at night.

d.) they said a limit on the number and size of Walleye a spearfisher can catch.​

how did the Ojibwe protect walleye populations? a.) they count the total number of walleye eggs that

Answers

The Ojibwe protected walleye populations as D. They said a limit on the number and size of Walleye a spearfisher can catch.

Wisconsin Walleye War was a series of protests regarding the fishing and hunting rights of the Ojibwes. Wisconsin wanted to regulate the rights of the people whenever they went fishing and hunting.

The protest eventually led to the state speaking to the people. This resulted in a resolution that there should be a limit on the number and size of Walleye a spearfisher can catch.

This was necessary in order to preserve the walleye for future generations.

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Select the correct answer from each drop-down menu. Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. Complete the passage summarizing the collision. On colliding, the truck applies a force on the stationary car, and the stationary car applies and opposite force on the truck. The front of the truck is designed to crumple in order to , which protects the well-being of the passengers.

Answers

The front of the truck is designed to crumple during a collision to absorb the impact energy, slow down the collision, and protect the well-being of the passengers. This design feature helps increase the collision time, reduce the forces acting on the passengers, and minimize the risk of severe injuries.

Danica observes a collision between two vehicles. She sees a large truck driving down the road. It strikes a small car parked at the side of the road. On colliding, the truck applies a force on the stationary car, and the stationary car applies an opposite force on the truck. The front of the truck is designed to crumple in order to absorb the impact energy and slow down the collision , which protects the well-being of the passengers.

During a collision, the principle of Newton's third law of motion comes into play. According to this law, for every action, there is an equal and opposite reaction. In the case of the collision between the truck and the car, the truck exerts a force on the car, pushing it forward, while simultaneously experiencing an equal and opposite force from the car.

The purpose of designing the front of the truck to crumple is to increase the collision time and absorb the kinetic energy. When the truck collides with the stationary car, the front of the truck deforms, crumples, and absorbs a significant amount of the impact energy. This process increases the time over which the collision occurs, reducing the forces acting on the passengers and minimizing the risk of severe injuries.

By allowing the truck to crumple, the kinetic energy of the collision is transformed into other forms, such as deformation energy and heat. This energy transformation helps protect the passengers by reducing the deceleration forces acting on them. It also helps prevent the transfer of excessive forces to the car's occupants and reduces the likelihood of severe injuries.

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assignment questions

Answers

Answer:

which on a is the question

A solid sphere and a hollow sphere each of mass M and radius R are released at the same time from the top of an inclined plane. Which one of the following statements is necessarily true?
A.Both spheres will reach the bottom at the same time.
B. The hollow sphere will reach the bottom with the greater kinetic energy.
C.The solid sphere will reach the bottom first.
D. The hollow sphere will reach the bottom first.
E. The solid sphere will reach the bottom with the greater kinetic energy.

Answers

Answer:

C. The solid sphere will reach the bottom first.

E. The solid sphere will reach the bottom with the greater kinetic energy.

Explanation:

To answer this,the sphere that has the smaller mass moment of inertia will be the one that will have the largest acceleration down the plane. And we know that higher acceleration means higher speed.

Now, moment of inertia of both spheres are;

I_solid sphere = (2/5)mr² = 0.4mr²

I_hollow sphere = (2/3)mr² = 0.67 mr²

Now, it is clear that the solid sphere has the smaller mass moment of inertia. This means that the solid sphere will have more acceleration and as well higher speed and will thus reach the bottom first.

Also, the higher the speed, the higher the kinetic energy since K.E = ½mv².

Thus, options C & E are correct.

What evidence have you discovered to explain how plants, such as sunflowers, and animals process energy?

Answers

Answer:

Living organisms collect the energy from the sun, and use water and carbon dioxide to produce sugars in the process known as photosynthesis. Animals can use the energy and sugars that have been provided by the plants. When plants get enough light, plants can make their own food

Final answer:

Plants process energy through photosynthesis, a process that converts light energy into chemical energy. Animals process their energy through cellular respiration, which turns biochemical energy from nutrients into adenosine triphosphate. These processes are interrelated, involving a cycle of oxygen, glucose, carbon dioxide, water and energy.

Explanation:

Plants, such as sunflowers, and animals process energy differently. Photosynthesis is the process by which plants, including sunflowers, convert light energy, usually from the sun, into chemical energy that can be later released to fuel the organisms' activities. This process occurs in the chloroplasts, specifically using the chlorophyll in the leaves.

Animals, on the other hand, get their energy through cellular respiration, a set of metabolic reactions and processes that take place in the cells of organisms to convert biochemical energy from nutrients into adenosine triphosphate (ATP), and then release waste products. Unlike photosynthesis which occurs in the chloroplasts, cellular respiration mostly occurs in the mitochondria.

The two processes, although different, are interrelated. Plants produce oxygen and glucose (sugar) during photosynthesis, which are then used by animals (and plants as well) in cellular respiration to produce carbon dioxide, water and energy. Then the carbon dioxide and water are taken up by the plants to use in photosynthesis.

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What are the metric units of length?​

Answers

inches, feet, meters

during a trip, can a car's instantaneous speed ever be greater than it's average speed?​

Answers

Explanation:

yeah what is your question

Answer:

If the speed of the object varies at all over the interval, the instantaneous velocity will sometimes be greater than the average velocity

Explanation:

A woman of mass 55 kg stands on the rim of a frictionless merry-go-round of radius 2.0m and rotational inertia 1250 kg-m2 that is not moving. She throws a rock of mass 350g horizontally in a direction that is tangent to the outer edge of the merry-go-round. The speed of the rock, relative to the ground, is 2.0m/s. Afterward, what are (a) the angular speed of the merry-go-round and (b) the linear speed of the woman

Answers

Answer:

a)   \(\omega=9.10*10^{-4}rad/sec\)

b)   \(V=1.8217*10^{-3}\)

Explanation:

From the question we are told that:

Mass of woman \(M_w=55kg\)

Radius of merry go round \(r=2.0m\)

Rotational inertia \(i= 1250 kg-m2\)

Mass of rock \(M_r=350g \approx 0.350kg\)

Speed of rock \(V_r=2.0m/s\)

Tangent angle to the outer edge \(\theta=1\)

a)

Generally the equation for conservation of momentum is mathematically given by

\(M_r(ucos\theta)r=(I+M_wr^2)\omega\)

\(0.350(2.0cos1)(2.0)=(1250+(55)(2.0)^2)\omega\)

\(1.3998=1470\omega\\\omega=\frac{1.339}{1470}\)

\(\omega=9.10*10^{-4}rad/sec\)

b)

Generally the equation for linear speed V is mathematically given by

\(V=r\omega\\V=2.0*9.10*10^{-4}\)

\(V=1.8217*10^{-3}\)

Sound is a longitudinal wave that travels at speed 343343m/s in dry air at room temperature and standard pressure. Your ear is capable of differentiating sounds that arrive at the ear just 1.00 milliseconds apart. What is the minimum distance between two speakers that produce sounds that arrive at noticeably different times

Answers

Answer:

d = 0.343 m

Explanation:

Given that,

The speed of a longitudinal wave, v = 343 m/s

Your ear is capable of differentiating sounds that arrive at the ear just 1.00 milliseconds apart.

We need to find the minimum distance between two speakers that produce sounds that arrive at noticeably different times.

Let the distance be d. So,

\(d=v\times t\\\\=343\times 10^{-3}\\\\=0.343\ m\)

So, the required distance is equal to 0.343 m.

2. Explain how potential energy and kinetic
energy are the same. How are they
different? TEKS 6.8(A) supporting

Answers

Potential energy and kinetic energy are both forms of energy, but they are different in how they are stored and released. Potential energy is energy that is stored within an object, while kinetic energy is energy that is associated with the motion of an object.

The main similarity between potential energy and kinetic energy is that they are both forms of energy that can be converted from one form to another. For example, when an object is at rest, it has potential energy, and when it is in motion, it has kinetic energy. This means that potential energy can be converted into kinetic energy, and vice versa.

The main difference between potential energy and kinetic energy is that potential energy is stored energy, while kinetic energy is energy in motion. Potential energy is the energy an object has due to its position or state, such as the energy stored in a stretched spring or a charged battery. Kinetic energy, on the other hand, is the energy an object has due to its motion, such as the energy of a moving car or a rolling ball.

In summary, potential energy and kinetic energy are both forms of energy, but they are different in how they are stored and released. Potential energy is stored energy, while kinetic energy is energy in motion.

A 0.125 kg mass is placed on a vertically oriented spring that is stretched 0.32 meters from its equilibrium position. If the spring constant is 250 N/m, how fast will the mass be moving when it reaches the equilibrium position? Hint: you cannot ignore the change in gravitational potential energy in this problem. Please give your answer in units of m/s.

Answers

The mass will be moving at 14.3 m/s when it reaches the equilibrium position.

To determine the speed of the mass when it reaches the equilibrium position, we need to consider the conservation of mechanical energy, which includes both the spring potential energy and the gravitational potential energy.

The total mechanical energy (E) of the system is the sum of the potential energy and the kinetic energy:

E = PE (potential energy) + KE (kinetic energy)

At the equilibrium position, all the potential energy is converted into kinetic energy, so the total mechanical energy is entirely in the form of kinetic energy.

The potential energy stored in the spring (PE_spring) is given by Hooke's Law:

PE_spring = (1/2) * k * \(x^{2}\)

Where k is the spring constant (250 N/m) and x is the displacement from the equilibrium position (0.32 m).

PE_spring = (1/2) * 250 N/m *\((0.32 m)^2\)

PE_spring = 12.8 J

The change in gravitational potential energy (ΔPE_gravity) is given by:

ΔPE_gravity = m * g * h

Where m is the mass (0.125 kg), g is the acceleration due to gravity (9.8 m/\(s^2\)), and h is the change in height (which is zero in this case since the height doesn't change).

ΔPE_gravity = 0 J

Therefore, the total mechanical energy (E) is equal to the potential energy stored in the spring:

E = PE_spring

E = 12.8 J

Since the total mechanical energy is entirely in the form of kinetic energy at the equilibrium position, we can calculate the speed (v) using the equation:

E = (1/2) * m * \(v^2\)

Rearranging the equation, we get:

\(v^2\) = (2 * E) / m

\(v^2\) = (2 * 12.8 J) / 0.125 kg

\(v^2\) = 204.8 \(m^2\)/\(s^2\)

Taking the square root of both sides:

v = √ 204.8 \(m^2\)/\(s^2\)

v ≈ 14.3 m/s

Therefore, the mass will be moving at approximately 14.3 m/s when it reaches the equilibrium position.

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How are magnetic fields like vectors?

Answers

Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.

Explanation:

PLEASE HELP MEEEE!!!! ill give 50 points!!
an astronaut travels to the volcanic moon of Jupiter, lo. there she finds that her scale reading has decreased from 490N(Earth) to 90N(lo). what is the gravitational force constant (g) of lo?

Answers

The gravitational force constant (g) of lo is the scale reading has decreased from 490N(Earth) to 90N(lo) is 1.8 m / s²

F = m g

F = Force

m = Mass

g = Acceleration due to gravity

In Earth,

F = 490 N

g = 9.8 m / s²

m = F / g

m = 490 / 9.8

m = 50 kg

In Io,

F = 90 N

g = F / m

g = 90 / 50

g = 1.8 m / s²

Therefore, the gravitational force constant (g) of lo is 1.8 m / s²

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state Newton's laws of motion​

Answers

Answer:

Newtons First Law (The Law of Inertia)- If an object is at rest it will stay at rest until a net force acts on it. If an object is in motion it will stay in motion until a net force acts on it.

Newtons Second Law (F=ma)- Force equals the mass of an object times it's acceleration.

Newton's Third Law- For every action there is an equal and opposite reaction.

hope this helps!

In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction
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