figure 2 shows a 7520kg lorry. the driver spots a hazard ahead and applies the brakes. the lorry decelerates uniformly and comes to a stop 50m after the brakes are applied. Estimate the braking force needed to stop the lorry in newtons

Answers

Answer 1

Answer:

25 m/s

Explanation:

v^2-u^2=2as

a= (v^2-u^2)


Related Questions

Give 3 real life examples of some other examples that you have seen of people displaying data. List the name of the data being displayed.

I NEED THIS ASAP

Answers

3 real life examples of people displaying data are, analyzing train schedule, tracking, favorite player stats, analyzing data of workout machines.  

Analyzing different types of data is included in our daily life routine. We can understand it by the following examples:

First is analyzing the train schedule to find out which train is going to our destination, and how much time it will take to reach there, etc. Second one is analyzing the player stats to look how amazing the records have been of your favorite player in last 5 years, against a particular team, etc. Third one is analyzing the data of workout machines, like, how much weight you gained/loose, how much weight you are lifting in the gym, etc.

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How do you calculate the fall of a ramp?

Answers

The fall of the ramp can be calculated by the falling style of the ramp. like if the ramp is falling in the rolling motion, then we can calculate the fall of the ramp by the process by which we calculate of the rolling motion of any object.

Rolling motion happens when an object roll over from a ramp or any other sloppy surface whether it is rough or smooth. many forces act on it at the same moment. also in many forces rolling tangential force and gravitational force is also acting on it at the same moment. in which the gravitational force is acting on it at a bigger pace and plays an important role in rolling of the object from the ramp or any other sloppy surface. hence, by this information we can firmly consider that a heavier object go down a ramp at a same pace as a lighter object go down a ramp because of gravitational force acting on it in a major form.

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a car weighs 3600 kg is traveling at 21.0 m/s. the driver doesn?t notice a red light and rear-ends another car at rest. both cars stick together and move with a speed of 9.0 m/s. what is the mass of the car that was at rest?

Answers

The mass of the car that was at rest is 4800kg.

What is mass?

Measurement of inertia, a fundamental characteristic of all matter. The resistance a body of matter offers to a change in its speed or location as a result of the application of a force is what it is in essence.

What is momentum?

As a measure of an object's kinetic energy, momentum is easily defined. Simply put, momentum is the result of mass times velocity. full response Simply said, momentum is concerned with the quantity of motion. The conserved quantity is another definition for it.

m= 3600kg

Vi= 21.0m/s

Vf = 9.0m/s

conservation of momentum

mVi= (m+M) Vf

mass of rest car M = (Vi-Vf )m/Vf

M = (21.0 m/s - 9.0m/s)* 3600 kg/ 9.0m/s

M= 4800kg

Therefore, the mass of the car that was at rest is 4800kg.

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Suppose a cart is being moved by a force. If suddenly a load is dumped into the cart so that the cart's mass is doubled, what happens to the cart's acceleration

Answers

According to the given statement  If suddenly a load is dumped into the cart so that the cart's mass is doubled The acceleration slows.

Give an explanation of acceleration.

which speaks of the rate of change in time of the speed and direction of motion. Something is said to be accelerating when it starts to move faster or slower. Even if the speed slows down, motion on a circle accelerates because the direction is constantly changing.

Does accelerating mean going faster?

Any process in which the velocity changes is referred to as acceleration. There are only two ways to speed up because velocity consists of both a speed and a direction.

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What is the major difference between static and dynamic stretching ?

Answers

Explanation:

This intense stretching method uses bouncing movements to push your body beyond its normal range of motion. Whereas static stretches are performed slowly and gradually, the ballistic method stretches muscles much farther and faster. You can do many of the same stretches as ballistic or static stretches.

An object of mass M moves in one dimension along the x-axis. A conservative force F(x) is exerted on the object. The potential energy U(x) associated with this force as a function of position x is shown in graph 1. A student used the potential energy graph to construct the graph of F(x) as a function of x shown in graph 2. Are these graphs consistent with one another, and if not, what is the error?

Answers

These graphs do not consistent with one another because one is graph of potential energy U(x)  vs distance(x)  and two is graph of force (F(x)) vs distance(x).

What is potential energy?

Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.

Now, if a force F(x) is applied on an object, that caused a displacement of the object a distance x. Then potential energy of the object is:

U(x) = ∫ F(x)dx.

Hence, U(x) ≠ F(x)

That's why, these graphs  do not consistent with one another.

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An ideal gas expands through an adiabatic process. Which of the following statements is/are true?
a) The work done by the gas is negative, and heat must be added to the system.
b) The work done by the gas is positive, and no heat exchange occurs.
c) The internal energy of the system has increased.
d) The internal energy of the system has decreased.

Answers

The work done by the gas is positive, and no heat exchange occurs. The internal energy of the system has increased.

An adiabatic process is a process in which no heat is exchanged with the surroundings. Therefore, there is no heat added or removed from the system and the work done by the gas is positive. Since no energy is exchanged with the surroundings, the internal energy of the system will increase, since work must be done to expand the gas.The work done by the gas is positive, and no heat exchange occurs.The internal energy of the system has increased.

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The goal of this experiment was to answer the question, "How does diffraction occur?" Suppose you formulated this alternate hypothesis:

If the gap width is increased while keeping wavelength constant, then the observed diffraction will decrease because the less the ratio between wavelength and gap width is, the smaller the observed diffraction angle will be.

To test this hypothesis, you would change the gap widthdiffraction anglewavelength and observe the gap widthdiffraction anglewavelength in the system.

Therefore, the independent variable would be the gap widthdiffraction anglewavelength and the dependent variable would be the gap widthdiffraction anglewavelength.

Answers

The spreading of waves as they go through an aperture or around objects is known as diffraction. When the wavelength of the incident wave and the size of the aperture or obstruction are on the same order of magnitude, it happens.

What causes diffraction?"

More specifically, when applied to light, diffraction of light happens when a light wave travels past a corner or through an opening or slit that is physically smaller than the wavelength of that light, if not smaller.

The main diffraction-causing factor is what?

The most frequent instance of diffraction is water waves that bend around a fixed object. Around the border of an item, light flexes similarly. Two tiny apertures are depicted in the animation as wave fronts travel through them.

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which of the following is not a petroleum product

a. rayon clothing
b. a candle
c. petrochemicals
d. wool​

Answers

Answer:

wool

Explanation:

Wool comes from sheep.  Rayon, candles (the paraffin type) and petrochemicals all come from petroleum.

What are the 4 components of latency?

Answers

The four factors that makeup latency are processing delay caused by processor speed, node queueing delays caused by node load, and transmission delay caused by the bit rate of transmission.

What constitutes latency?

The term "latency" refers to the amount of time that passes between the sender and the recipient of data, or between a particular user action and the resulting answer. A user's internet experience will be significantly impacted by network latency, a serious problem with internet access that can be brought on by a number of factors.

How many different kinds of delay exist?

Depending on the application case, there are two forms of latency: one-way transmission and round trip. The transmission of data packets from a source to a destination is referred to as one-way latency.

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a total of 10.0j of work is done in accelerating a 20-n object from rest across a horizontal frictionless table. what is the total kinetic energy gained by the object

Answers

The total kinetic energy gained by the object when accelerating a 20-n object from rest across a horizontal frictionless table is 10.0 J.

How do you determine the total kinetic energy?

To determine the total kinetic energy gained by the object, we can use the work-energy principle, which states that the work done on an object is equal to the change in kinetic energy of the object.

Work done = change in kinetic energy

W = Kf - Ki

where

W = work done (10.0 J)

Kf = final kinetic energy

Ki = initial kinetic energy (0 J, since the object is at rest)

Given the information provided, we know that a total of 10.0 J of work is done in accelerating the 20-n object from rest.

So,

Kf = W + Ki

Kf = 10.0 J + 0 J

Kf = 10.0 J

Therefore, the total kinetic energy gained by the object is 10.0 J

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PLSS HELP
A car collides with a wall. Compare the forces exerted by the car on the wall and by the wall on the car.

Answers

According to Newton's third law of motion the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.

What is collision?

Collison is a short time force acting between two objects. There are both elastic and inelastic collision. In elastic collision, the kinetic energy and momentum of the colliding system is conserved whereas in inelastic collision, the kinetic energy is not conserved.

For any type of collision, we can apply Newton's third law of motion. This law states that, for every action there is an equal and opposite reaction. Therefore, in a collision, the force exerted by each object will be equal and opposite in direction.

Therefore,  the force exerted by the car on the wall and the force by the wall on the car are equal and opposite. But there will be no displacement for the wall.

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Which would be eaier to carry --- a chool bag with a broad trap for a chool bag with a very thin trap?
Jutify your anwer

Answers

A school bag with a broad strap would be easier to carry when compared with a school bag with thin strap.

Bags are used to carry loads. There are bags with two straps and bags with  one strap. Bags with one strap spread lesser area for carrying whereas bags with two straps spread more area.

The school bags with broad straps are easier to handle. This is due to the reason that the load of the bag is distributed over larger area, thereby decreasing the pressure on the shoulders. The pressure provided by smaller straps is higher ans causes irritation.

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is/are defined in the NEC as the conductors and equipment for delivering electric energy from the serving utility to the wiring system of the premises served

Answers

The cables and machinery used to transport electric energy from the supplying utility to the wiring system of the premises served are referred to as "service" in the NEC. The Service Point is the location where the customer's premises wiring starts and the utility supply terminates.

is the distance between the utility's serving point and the service point specified as the overhead conductors?

Drop in service. between the service point and the utility's electrical supply infrastructure, the overhead conductors.

The conductors from the service point to the service disconnecting means are what are referred to as by the NEC.

Service conductors are the wires that run from the service point to the method of terminating the service (service equipment, not meter). For both above (service drop) and subterranean, service conductors would include service-entrance conductors (service lateral).

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Elliot is going to start strength training at home. He does not have any weights and is
brand new to strength training but is young and healthy. What would be a good
household object to use to for strength training? (1 point)
O a can of soup
O a box of tissues
O a gallon of water
O a paperback book

Answers

Answer:

A gallon of water would be a good household object to use for strength training.

Explanation:

Gallon jugs of water typically weigh around 8.3 lbs, which can provide a good amount of resistance for strength training exercises such as bicep curls, shoulder presses, and tricep dips. Additionally, the handle on the jug of water makes it easy to grip and use for various exercises. Cans of soup and boxes of tissues are generally too light to provide enough resistance for strength training, and a paperback book may not be sturdy enough to use for certain exercises.

How far do you have to move the moon so the force of gravity on it doubles?

Answers

The gravitational attraction between two objects grows in strength with each object's mass. The gravitational force between two objects doubles when one of the objects' masses doubles.

Is gravity 9.8 meters?

The acceleration that gravity imparts to objects falling freely is used to quantify gravity. At the surface of the Earth, gravity accelerates at a rate of around 9.8 meters (32 feet) per second. As a result, an object in free fall accelerates by 9.8 meters per second for every second that it is falling.

Is the gravitational field constantly 9.8 N kg strong?

The gravitational field strength of the Earth is 9.8 N/kg. Accordingly, an item will feel 9.8 N of force for every kg of mass. That weight of a thing is lower if the gravitational field is weaker. The Moon, for instance, has a gravitational field that is 1.6 N/kg strong.

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Forces acting upon a 100-kg crate sliding down an inclined plane, the plane is inclined at an angle of 30 The coefficient of friction between the crate and the incline is 0.3. Determine the net force of the crate. Use: g=10m/s, Sin30°=0.5, and Cos30°=0.9 A) 300N B) 200N C) 100N D)230N​

Answers

Forces acting upon a 100-kg crate which is sliding down an inclined plane, the plane is inclined at an angle of 30 The coefficient of friction between the crate and the incline is 0.3. the net force of the crate is 230N.

What is coefficient of friction ?The amount of friction between two surfaces is measured by the coefficient of friction. You determine the resistance to motion at the intersection of two surfaces made of similar or dissimilar materials when you determine the coefficient of friction.

Solution:

Given:

Mass of crate=100kg

Angle of inclination=30°

coefficient of friction=0.3.

Now,

F∥=mgsinθ=(100)(10)0.5=500N is the force acting parallel to the inclined plane.

then,

Normal force= mgcosθ=(100)(10)(0.9)=900N

then, frictional force =

Frictional force=μkF⊥=(0.3)(900)=270N

Finally the net force = F∥-frictional force

the net force =500-270

the net force =230N

Hence, the net force is 230N

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the planet neptune has an equatorial diameter of 49532 km and its mass is 1.0247 x 10^26 kg. If the plane tis modeled as a homogenous sphere, what is the acceleration due to gravity at its surface

Answers

The acceleration due to gravity at the surface of Neptune is calculated to be 10.08 m/s².

Here, we can apply the concept of Newton for the definition of the gravity of a planet, for which he defines that this is proportional to the product of the mass of the planet by the universal gravitational constant, and inversely proportional to the square of the radius of the planet. Mathematically this can be described as

g = GM/r²

where,

G is universal gravitational constant

M is the mass of the planet

r is the radius of the planet

Given that,

Mass of the planet M = 1.025 × 10²⁶ kg

Diameter of the planet = 49532 km = 49532 × 10³ m

Radius of the planet = 24766 × 10³ m

After putting the values into the equation above, we have,

g = GM/r² = (6× 10⁻¹¹) (1.025 × 10²⁶)/(24.7 × 10⁶)² = (6.15 × 10¹⁵)/(24.7 × 10⁶)² = 10.08 m/s²

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What are the 7 basic forms of hazardous energy in the industrial plants?

Answers

Machines and equipment use a variety of energy sources, including electrical, mechanical, hydraulic, pneumatic, chemical, thermal, and others.

What are the forms of hazardous energy?

Equipment and machinery that draw power from electrical, mechanical, hydraulic, pneumatic, chemical, thermal, or other sources may put workers at risk.

hazards to safety

biological threats

bodily dangers

hazards of ergonomics

chemistry risks

threats to organisations during work.

environment-related risks.

Potential energy, or stored energy in an object, poses a risk to employees if it is suddenly released.

Lockout is only one aspect of hazardous energy control. It includes measures like machine guarding, alternative guarding arrangements that stop exposure to hazardous energy, lockouts, and other ways to protect workers from coming into touch with such energy. Anything that could be harmful, hurt someone, or have negative health impacts on something or someone is said to be in a hazardous condition.

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Under certain circumstances, potassium ions (K ) in a cell will move across the 8. 15 nm thick cell membrane from the inside to the outside. The potential inside the cell is -70. 5 mV and the potential outside is zero. What is the change in the electrical potential energy of a single potassium ion as it moves across the membrane

Answers

The change in electrical potential energy of a single potassium ion as it moves across the membrane is determined by the difference in the electrical potential energy of the ion on either side of the membrane.

What is  Energy?

Energy is the capacity for doing work. It can take on many forms, including mechanical, electrical, chemical, thermal, and nuclear energy. Energy can be converted from one form to another, and it can be used to do work or to produce heat.

Step 1: Calculate the charge of a single potassium ion.

Charge of potassium ion = 1 x 1.602 x 10^-19 Coulombs

Step 2: Calculate the change in potential.

Change in potential = 70.5 mV

Step 3: Calculate the change in electrical potential energy.

Change in electrical potential energy = Charge of potassium ion x change in potential

= (1.602 x 10^-19 Coulombs) x (70.5 mV)

= 1.13 x 10^-17 Joules

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created when sound is formed from vibrations that cause pressure changes in the surrounding air. it is called by ___

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created when sound is formed from vibrations that cause pressure changes in the surrounding air. it is called a sound wave

Sound is a mechanical wave that results from the back-and-forth vibrations of the particles of the air medium through which the sound wave is moving.

These vibrations in the air are caused by the vibration of the objects that generate the sound. If a sound wave is moving from left to right through the air, then particles of air will be displaced both rightward and leftward as the energy of the sound wave passes through it.

The motion of the particles is parallel to the direction of the energy transport. This is what characterizes sound waves in air as longitudinal waves.

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why are ventilations for a room put near the roof and not near the floor​

Answers

Answer:

Ventilators are provided near ceilings in the rooms of our houses because the hot air is lighter and rises out of the room through the ventilators. Cool fresh air rushes into the room through the doors and windows to occupy its place.

A delivery truck with 2.0m -high aluminum sides is driving west at 50km/hr in a region where the earth's magnetic field is B= (5.0 x 10^-5 T, north)
a. What is the potential difference between the top and the bottom of the truck's side panels? E= ____ V

Answers

The possible potential difference between the truck's top and bottom side panels is 1.39 x 10^-4 V.

The potential difference between two points in an electric circuit is given by the product of the magnetic field, the cross-sectional area of the conductor, and the component of velocity perpendicular to the magnetic field.

The potential difference between the top and bottom of the truck's side panels can be calculated using the following formula:

V = Blv

Where:

V = potential difference (V)

B = magnetic field (T)

l = length of conductor (m)

v = velocity of conductor perpendicular to the magnetic field (m/s)

Given that the magnetic field is B = (5.0 x 10^-5 T, north) and the truck is moving west at 50 km/hr = 13.89 m/s, the potential difference between the top and bottom of the truck's side panels can be calculated as:

V = Blv = (5.0 x 10^-5 T) * (2.0 m) * (13.89 m/s) = 1.39 x 10^-4 V

It is important to note that the magnetic field is pointing north and the truck is moving west, so the velocity of the truck is perpendicular to the magnetic field, which means that the potential difference is not zero. Also, it is important to note that the velocity of the truck is given in km/hr and needs to be converted to m/s before using it in the equation.

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A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 35.0 min at 55.0 km/h, 16.0 min at 95.0 km/h, and 40.0 min at 35.0 km/h and spends 55.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.

Answers

53.24 km/hr is the journey's average speed.

What is the SI unit for average speed?

Average speed is determined by dividing the entire distance covered by the body in a given amount of time, or Average Speed=Total time.

total radius. A scalar quantity, that is. M/s is its unit.

What does Formula 9 for Average Speed mean?

The length of the entire path traveled divided by the duration of the motion is the definition of average speed.

Total miles traveled: 31.9 + 25.7 + 23.33 = 80.5 km

Average trip speed would be 80.5/1.512=53.24 km.

Total time required to travel this distance is 0.58 hours, 0.266 hours, and 0.666 hours.

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What potential difference, acting over a distance of 2.5 cm, would be needed to balance the downward force of gravity so that an electron would remain stationary

Answers

The potential difference,  acting over a distance of 2.5 cm is 1.4*10^-12V.

What are the effects of distance on potential difference?

The potential actually grows as you get farther away from the charge, becoming less negative as you get closer to it and eventually reaching zero. The potential for both positive and negative charges is zero at infinite distances from the charge.

Exactly what is potential energy?

The energy that a body has because of its location or deformation is known as potential energy. Both the body's bulk and the height to which it is lifted play a role.

Given:

Distance (d) = 2.5cm = 0.025 m

For an electron,

[tex]m= 9.109*10^-31kg[/tex]

[tex]q=1.602*10^-19C[/tex]

We isolate the electric field:

[tex]E=\frac{mg}{q}[/tex]

[tex]g=9.8 m/s^2[/tex]

[tex]E=\frac{(9.109*10^-31kg)(9.8m/s^2)}{1.602*`10^-19C}[/tex]

[tex]E=5.5723*10^-11V/m[/tex]

Electric potential,

[tex]E=\frac{V}{d}[/tex]

[tex]V=Ed[/tex]

[tex]V= (5.5723*10^-11V/m)(0.025m)[/tex]

[tex]V=1.4*10^-12V[/tex]

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Two spherical objects have masses of 1. 5 x 10^5 kg and 8. 5 x 10^2 kg.

Their centers are separated by a distance of 2500 m. Find the

gravitational attraction between them.

Answers

When two objects are separated by a distance then gravitational attraction between them is 1.36 × 10^-9 N.

Given,

m = 1.5 × 10^5 kg

M = 8.5 × 10^2 kg

r = 2500 m

F=GmM/r^2

Here G = 6.67 × 10^-11 N.m^2/kg^2 is the value of the gravitational constant

F = 1.36 × 10^-9 N

Every body in the universe attracts every other body with a gravitational force that decreases with distance as 1/r2. But actually he knew more about the gravitational force: from the fact that bodies of different masses near the earth’s surface accelerate downwards at the same rate, using F = ma (Second Law).

If two bodies of different masses have the same acceleration they must be feeling forces in the same ratio as their masses (so a body twice as massive feels twice the gravitational force), that is, the gravitational force of attraction a body feels must be proportional to its mass.

Newton’s first clue that gravitation between bodies fell as the inverse-square of the distance may have come from comparing a falling apple to the falling moon, but important support for his idea was provided by a detailed description of planetary orbits constructed half a century earlier by Johannes Kepler.

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Which statement about a turtle's energy source is true?
Responses

A. A turtle performs photosynthesis to gain its energy.

B. Nutrients in the water are the ultimate source of energy for a turtle

C. A turtle relies indirectly on the sun as an energy source.

Answers

Answer:

C. A turtle relies indirectly on the Sun as an energy source.

Explanation:

Turtles are animals, meaning they are unable to perform photosynthesis, thus option A is inapplicable. Turtles consume food such as algae and seagrass. These aquatic plants gain their energy directly from the Sun through photosynthesis, and as a result when the turtle consumes these plants, that energy from the Sun is indirectly feeding the turtle.

what is the momentum of a 25.1g rifle bullet traveling with a velocity of 351 m/s at 45 degrees northeast

Answers

We know that momentum is defined as the product of mass and velocity, hence p = 0.025 kg x 0.1 m/s or p = 0.0025 kg m/s. Therefore, the bullet's momentum is equal to 0.0025 kg/s.

The ability of a gun to cause such substantial damage is due to the momentum that the gun imparts to the projectile. An object's momentum is equal to its mass times its velocity. Making a thing more large or moving more quickly can increase its momentum and, thus, its capacity for destruction. The force acting on both is therefore the same, but the rifles have smaller recoils since their mass is higher than that of the bullet, which results in a reduced recoil compared to the bullet's speed.

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17. A uniform rod of length 120cm and mass 0.7kg, is suspended horizontally by two vertical strings at points 12cm from each end. If masses of 4.0 and 2.0kg are hung on it at points 20cm respectively from one end and 25cm. from the other, what would the tension in the strings be?
pls answer quickly​

Answers

Answer:

To solve this problem, you can use the principle of transverse static equilibrium. This states that the sum of the forces acting on an object must be equal to zero for the object to be in equilibrium. In this case, the forces acting on the rod are the tension in the strings, the weight of the rod, and the weight of the masses hung on the rod.

First, you can find the weight of the rod by multiplying its mass by the acceleration due to gravity:

Wrod = mrod * g

= 0.7 kg * 9.8 m/s^2

= 6.86 N

Next, you can find the weight of the 4.0-kg mass by multiplying its mass by the acceleration due to gravity:

W1 = m1 * g

= 4.0 kg * 9.8 m/s^2

= 39.2 N

You can find the weight of the 2.0-kg mass in the same way:

W2 = m2 * g

= 2.0 kg * 9.8 m/s^2

= 19.6 N

To find the tension in the strings, you can use the principle of transverse static equilibrium. The forces acting on the rod are the tension in the strings, the weight of the rod, and the weight of the masses hung on the rod. You can represent these forces as vectors acting at the points where the strings are attached to the rod. The vectors representing the tension in the strings will be equal in magnitude but opposite in direction. The vectors representing the weight of the rod and the masses will act vertically downward.

[asy]

unitsize(2cm);

pair P1, P2, P3, P4;

P1 = (0,0);

P2 = (1,0);

P3 = (0.8,0);

P4 = (0.2,0);

draw((-1,0)--(2,0));

draw((0,-1)--(0,1));

draw(P1--P3,red,Arrow(6));

draw(P2--P4,red,Arrow(6));

draw(P3--P4,red,Arrow(6));

draw((P1)--(P1+(0,-0.7)));

draw((P2)--(P2+(0,-4)));

draw((P2)--(P2+(0,-2)));

label("$T_1$", (P1 + P3)/2, red);

label("$T_2$", (P2 + P4)/2, red);

label("$W_{rod}$", (P3 + P4)/2, red);

label("$W_1$", (P2 + P4 + (0,-4))/2, red);

label("$W_2$", (P2 + P4 + (0,-2))/2, red);

label("$12$ cm", (0,0.2), red);

label("$20$ cm", (0.4,-0.4), red);

label("$25$ cm", (0.75,-0.4), red);

[/asy]

The sum of the forces in the x-direction must be equal to zero, so you can set up the following equation:

T1 - T2 = 0

The sum of the forces in the y-direction must also be equal to zero, so you can

Marc’ favorite ride at Busch Gardens is the Flying Umbrella, which is lifted by a hydraulic jack. The operator activates the ride by applying a force of 72N to a 30cm2 cylindrical piston, which holds the 20,000N ride off the ground. What is the area of the piston that holds the ride?

Answers

The area of the piston that holds the ride is 8333,33 [tex]cm^{2}[/tex]

For hydraulic press system pressure in = pressure out

P = Pressure

F = Force

A = Area

The formula P = [tex]\frac{F}{A}[/tex]

We know F1 = 72 N, A1 = 30 [tex]cm^{2}[/tex]

                F2 = 20000 N

The area of the piston that holds the ride = A2

P 1 = P2

[tex]\frac{F1}{A1}[/tex]  = [tex]\frac{F2}{A2}[/tex]

[tex]\frac{72 N}{30 cm^{2} }[/tex]   =  [tex]\frac{20000 N}{A2}[/tex]

A2 = 20000 N : ( [tex]\frac{72 N}{30 cm^{2} }[/tex] )

A2 = ( 20000 N x 30 cm2 ) : 72 N

     = 8333,33 cm2

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