A person can see objects clearly only if they are between 0.6 m and 4 m from her eyes. Her optometrist prescribes bifocals that enable her to see distant objects through the top half of the lenses and read papers at a distance of 0.25 m through the lower half. What are the respective powers of the top and bottom lenses?
a. -0.25 dB (top lens); +5.7 dB (bottom lens)
b. +2.3 dB (top lens); -3.3 dB (bottom lens)
c. +4 dB (top lens); -1.7 dB (bottom lens)
d. -5.7 dB (top lens); +0.25 dB (bottom lens)
e. -0.25 dB (top lens); +2.3 dB (bottom lens)
Answers
The calculated power is 0.667 D .Distance is the sum of an object's movements, regardless of direction.
Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position. Calculating the distance between two binary vectors, also known as binary strings or bit strings for short, is done using the Hamming distance formula. The Euclidean distance measures the separation between two vectors with real values.At the far point of the eye, which is 1.5 meters or 150 cm away, the upper portion of the lens should create an upright, virtual image of the item in the distance.
Thus, we determine that the image distance (v) is 1.5 m and the object distance (u) is.
By using the lens equation
We obtain 1.51 by multiplying v 1 by u 1
and f 1 by 1, respectively, from the equation
v 1 by u 1 and f 1 by 1.
Consequently, the power P=1/1.5 =0.667 D
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Related Questions
A converging lens (f = 12.2 cm) is located 29.4 cm to the left of a diverging lens (f = -5.64 cm). A postage stamp is placed 35.1 cm to the left of the converging lens.
(a) Locate the final image of the stamp relative to the diverging lens. (Include sign to indicate which side of the lens the image is on.)
___________cm
(b) Find the overall magnification.
(c) Is the final image real or virtual?
(d) With respect to the original object, is the final image upright or inverted?
(e) With respect to the original object, is the final image larger or smaller?
Answers
Therefore, the final image of the stamp is located 15.8 cm to the right of the converging lens.
To solve this problem, we can use the thin lens equation and the magnification equation for each lens, and then apply the rules for combining lenses.
(a) The converging lens forms an intermediate image of the stamp:
1/f_con = 1/do + 1/di1
1/12.2 = 1/35.1 + 1/di1
di1 = 22.9 cm (positive, since it is on the same side as the object)
This intermediate image then becomes the object for the diverging lens:
1/f_div = 1/di1 + 1/di2
1/-5.64 = 1/22.9 + 1/di2
di2 = -15.8 cm (negative, since it is on the opposite side from the diverging lens)
Therefore, the final image of the stamp is located 15.8 cm to the right of the diverging lens.
(b) The overall magnification is the product of the magnifications of each lens:
m = m_con * m_div
= (-di1/do) * (-di2/di1)
= (22.9/35.1) * (15.8/22.9)
≈ 0.686
(c) The final image is virtual, since it is formed by a diverging lens.
(d) The final image is inverted, since the magnification is negative.
(e) The final image is smaller than the object, since the magnification is less than 1.
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The planet TrES , orbiting a distant star, has been detected by both the transit and Doppler techniques, so we can calculate its density and get an idea of what kind it is. Using the method of mathematical insight 13.3, calculate the radius of the transiting plantet. The planetary transits block 2% of the star's light. The star TrES-1 has a radius of about 85% of our sun's radius.
Answers
The radius of the planet TrES-1 is approximately 92,450 km.
To calculate the radius of the planet TrES-1, we can use the information given about the blocked light during the transit and the radius of the star. Since the planet blocks 2% of the star's light, we can use the following formula:
Blocked light (%) = (Area of planet's disk) / (Area of star's disk) = (π × (planet's radius)²) / (π × (star's radius)²)
Given that the star TrES-1 has a radius of about 85% of our sun's radius, we can substitute this information into the formula:
0.02 = (π × (planet's radius)²) / (π × (0.85 × sun's radius)²)
Now, we can solve for the planet's radius. First, we can simplify the equation by canceling out the π:
0.02 = (planet's radius)² / (0.85 × sun's radius)²
Next, we can multiply both sides by (0.85 × sun's radius)² to isolate the planet's radius squared:
0.02 × (0.85 × sun's radius)² = (planet's radius)²
To find the planet's radius, we simply take the square root of both sides:
planet's radius = √(0.02 × (0.85 × sun's radius)²)
Now, we can plug in the sun's radius (approx. 696,340 km) and calculate the radius of the planet TrES-1:
planet's radius ≈ √(0.02 × (0.85 × 696,340 km)²) ≈ 92,450 km
Therefore, the radius of the planet TrES-1 is approximately 92,450 km.
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7. A train is traveling with an initial velocity of 20.1 m/sec. If the brakes can apply a maximum
acceleration of -0.0500 m/sec”, how long will it take the train to stop?
Answers
The time that takes for the train that is traveling with an initial velocity of 20.1 m/s to stop is 402 seconds.
The time that will take for the train to stop can be calculated with the following kinematic equation:
\( v_{f} = v_{i} + at \) (1)
Where:
\( v_{f}\): is the final velocity = 0 (when it stops)
\( v_{i}\): is the intial velocity = 20.1 m/s
a: is the acceleration = -0.0500 m/s²
t: is the time =?
By solving equation (1) for t, we have:
\( t = \frac{v_{f} - v_{i}}{a} = \frac{0 - 20.1 m/s}{-0.0500 m/s^{2}} = 402 s \)
Therefore, it will take 402 seconds for the train to stop.
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a box of mass m is being accelerated up a vertical wal by a constant force f applied at an angle
Answers
Consider a force of magnitude F pulling an object over a surface. The object is moving horizontally, with an angle of between the force and motion direction.
The length of the line AB makes up the force's component in the direction of motion.
What effects does angle have on force?
The component of force perpendicular to the incline reduces as the angle increases, while the component of force parallel to the incline grows. The weight vector's parallel component is what drives the acceleration. As a result, accelerations increase with increasing incline angles.
If we measure the acceleration and the driving force, we can use the formula F = ma to compute the mass of an item moving uniformly in a circle.
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factors affecting the strength of a magnet
Answers
Answer:
The strength of a magnet is determined by various factors such as the material used, shape and size of the magnet, distance between the magnet and the object it attracts, temperature, and external magnetic fields. The type of material used greatly affects its strength, with materials like neodymium and samarium cobalt being some of the strongest magnets available. Shape and size of the magnet also play a role, with larger magnets having greater strength. The distance between the magnet and the object it attracts affects the strength of attraction, as does temperature. External magnetic fields can also weaken a magnet's strength by altering its alignment.
Explanation:
a rigid, perfectly insulated system contains 0.53 m3 of helium at 1000 kpa. the system receives 1000 kj of paddle work. determine the final pressure.
Answers
Ultimately, the pressure is 2256 kPa.
What is pressure?In the physical sciences, pressure is defined as the stress at a point within a confined fluid or the perpendicular force per unit area.The "insulation system" is the entire design of electrical insulation of the energized components for fully electrically operated appliances, ensuring proper device operation and safeguarding the user from electric shock.An insulated system is one that has the ability to interchange mass but not heat or thermal energy with its surroundings. A system that is isolated, on the other hand, is one that cannot interchange mass or heat with its surroundings.A closed system can exchange energy with its surroundings but not matter. A closed system is incapable of exchanging matter and energy with its surroundings.To learn more about pressure refer to:
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A chicken is traveling at a speed of 9.3 mph how far does it get in 30 minutes?
Answers
The journey of the chicken takes 30 minutes at a speed of 9.3 miles per hour. It traveled 4.65 miles in this amount of time and at this speed. Choice B is correct as a result.
How fast is that?Speed is a term used in physical science to describe how far a moving body may travel in a given amount of time. It is the ratio of time to distance in mathematics.
It is assumed that the chicken moves at a speed of 9.3 miles per hour (mph). With this speed, a distance may be covered in 30 minutes. 60 minutes make up an hour. So, 30 minutes equals 30/60, or 0.5 hours.
Calculation:Then the distance is calculated as follows:
distance = speed × time
= 9.3 mph × 0.5 hr
= 4.65 miles.
Hence, the distance covered by the chicken is 4.65 miles.
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Describe a ball's motion as it rolls up a slanted
driveway. It starts with an initial velocity of 1.25 m/s up the ramp. It
travels upward, while slowing down, for 4.22 s, stops for an instant,
and then rolls back down. What are the direction and the magnitude
of the ball's acceleration as it rolls up the driveway?
Answers
The ball will decelerate as it moves upwards.
The magnitude of the ball's acceleration is 0.3 m/s² and it directed backwards.
The given parameters;
initial velocity of the ball, u = 1.25 m/stime of motion of the ball, t = 4.22 sAs the ball rolls up the inclined plane, the velocity decreases and eventually becomes zero when the ball reaches the highest point of the plane.
Thus, the ball decelerate as it moves upwards.
The acceleration of the ball is calculate as;
\(a = \frac{v_f -v_0}{t} \\\\\)
at the highest point on the incline plane, the final velocity \(v_f\) is zero
\(a = \frac{0-1.25}{4.22} \\\\a = -0.3 \ m/s^2\)
Thus, the magnitude of the ball's acceleration is 0.3 m/s² and it directed backwards.
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residents of a remote village without grid elecricity want to use solar power to pump underground water. size the necessary battery bank (how many batteries are needed?)
Answers
The necessary battery bank for the residents of a remote village without grid electricity and wants to use solar power to pump underground water is 9 batteries
The details about requirements and battery are as follows:
Necessary power 1080 W. Operating time 18 h/day. Desired storage time is 1 day. Depth of discharge is 80%. One battery gives 12 V and 225 Ah.Energy provided by battery = 12 * 225
Energy provided by battery = 2700 Wh
Since DOD is only 80 %, the battery will only provide 80 % of power.
Actual energy provided by battery = 2700 * 0.8
Actual energy provided by battery = 2160 Wh
Total energy needed in a day = 1080 * 18
Total energy needed in a day = 19440 Wh
Number of batteries required = 19440 / 2160
Number of batteries required = 9
Therefore, the necessary battery bank is 9 batteries
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the cracking noise produced by aluminum roofing sheets on a house during a hot sunny day is as a results of?
Answers
Answer: expansion of the sheet
What is the force cause by an elephant of 4054 kg moving at 5.5 m/s2?
F = ma
A) 700 Newtons
B) 22,000 Newtons
C) 740 Kg x m/s2
D) 22,297 kg
Answers
Answer:
C
Explanation:
En pocas palabras la utilidad que le darias al hecho de conocer los principios y leyes que rigen el movimiento de los cuerpos
Answers
Answer:
we can predict where they are in the future, know where they were in the past
can also build a device that generates a specific type of desired movement,
Explanation:
With the knowledge of the laws that govern the movement of bodies, we can predict where they are in the future and therefore know if there may be an accident, crash.
We can also know where they were in the past and therefore know if a fact is the result of these movements, craters, collapse of buildings, etc.
We can also build a device that generates a specific type of desired movement, for example pulleys that help us with work, etc.
A student uses a spring scale attached to a textbook to compare the static and kinetic friction between the textbook and the top of a lab table. If the scale measures 1,580 g while the student is pulling the sliding book along the table, which reading on the scale could have been possible at the moment the student overcame the static friction?
Answers
Answer:1860g
Explanation:The force would have to be greater than 1580g, which is when the student is pulling the sliding book with the spring scale
The____of a conductor is defined as the diameter of the conductor in mils, squared.
Answers
The cross-sectional area of a conductor is defined as the diameter of the conductor in mils, squared.
What is conductor?
A conductor is a material or object that allows the flow of electric current. It is a material that has a large number of free electrons which can move freely between atoms, allowing for the current to flow through the material. Conductors can be either solid or liquid, and can be used to create electrical circuits and systems. Common conductors used in electrical systems include copper, aluminum, silver, and gold. These materials have high electrical conductivity, meaning they have low resistance and allow for large amounts of electric current to pass through them. Conductors are essential in many electronics and electrical devices, as they are responsible for carrying the electric current from one component to another.
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At what distance does the electric field produced by a charge of -15 μc have a magnitude equal to 8. 7×104n/c?
Answers
Answer:
we'll use the electric field formula. ı wrote the formula in the photo.
Explanation:
The electric field formula is obtained by multiplying force and charge. When you apply this process I mentioned, you will find an electric field. then it is to write the given values and find the result. achievements.
At the distance for which the electric field produced by a charge of -15 μc have a magnitude equal to 8. 7×104n/c is 3.93 meters.
What is electric force?Electric force is the force of attraction of repulsion between two bodies.
According to the Coulombs law, the force of attraction of repulsion between charged two bodies is directly proportional to the product of charges of them and inversely proportional to the square of distance between them.
It can be given as,
\(F=k\dfrac{Q}{r^2}\)
Here, (k) is the coulombs constant, (Q) is the charges and (r) is the distance between the two charges.
The charge of -15 μc have a magnitude equal to 8. 7×104n/c. Put this value in the above formula,
\(8.7\times10^4=(8.98\times10^{9})\dfrac{15\times10^{-6}}{r^2}\\r=3.93\rm\; m\)
Thus, at the distance for which the electric field produced by a charge of -15 μc have a magnitude equal to 8. 7×104n/c is 3.93 meters.
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Read the passage about the health risks of single-load liquid laundry packets. These packets are filled with concentrated, toxic chemicals. A 7-month-old in Florida died from swallowing the soap. Several soap and detergent companies are conducting studies to address these safety concerns; they want to reduce toxicity and to make the packets look less like candy. The U.S. Consumer Product Safety Commission (CPSC) is also performing studies to build more safety into these products. Why would the CPSC perform studies when other soap and detergent companies have already conducted research on the same products? The CPSC is the only organization that can test the safety of soaps and detergents. Studies conducted by any company that benefits financially are considered unreliable. Studies performed by the CPSC give reliability to the results of improved safety obtained by each soap company. Tests performed by the CPSC follow established scientific methods, but those performed by soap companies do n
Answers
Answer:
Studies performed by the CPSC give reliability to the results of improved safety obtained by each soap company.
Explanation:
The CPSC perform case studies when other soap and detergent companies have already conducted research on the same products because of the studies performed by the CPSC gives reliability to the results of improved safety obtained via each soap company.
The third option is correct.
What are chemicals?The chemicals are the artificially prepared or purified and a distinct compound or substance.
Given is the passage about the health risks of single-load liquid laundry packets. The packets are filled with concentrated, toxic chemicals. A 7-month-old child in Florida died from swallowing the soap accidently. Several soap and detergent companies are conducting studies to address these safety concerns. They want to reduce toxicity and to make the packets look less like candy. The U.S. Consumer Product Safety Commission (CPSC) is also performing case studies to build more safety into these products.
The reason for CPSC to perform case studies when other soap and detergent companies have already conducted research on the same products is the studies performed by the CPSC gives reliability to the results of improved safety obtained via each soap company.
Thus, the third option is correct.
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an angle formed between a body segment and a horizontal reference line is an example of
Answers
An angle formed between a body segment and a horizontal reference line is an example of an incline angle.
An incline angle refers to the angle formed between a body segment, such as a limb or a body part, and a horizontal reference line. It represents the deviation or inclination of the body segment from the horizontal plane.
In biomechanics and human movement analysis, measuring incline angles is essential for understanding joint angles, posture, and movement patterns. By determining the incline angles, researchers and professionals can assess the joint range of motion, identify movement abnormalities, and analyze the biomechanics of various activities.
In summary, an incline angle is an angle formed between a body segment and a horizontal reference line. It plays a crucial role in biomechanical analysis, allowing for a better understanding of joint movements and body mechanics in various contexts.
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How are light waves used to bring far away objects into view and how does the eye translate them?
HELPPP
Answers
Answer:
When focused light is projected onto the retina, it stimulates the rods and cones. The retina then sends nerve signals are sent through the back of the eye to the optic nerve. The optic nerve carries these signals to the brain, which interprets them as visual images.
Explanation:
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What happens to the induced electric current if the number of loops is increased from one to three?
A. It stays the same.
B. It doubles in magnitude.
C. It triples in magnitude.
D. It decreases by a factor of three.
E. It decreases by a factor of two.
Answers
Answer:
C. It triples in magnitude (PLATO)
When the induced electric current, if the number of loops is increased from one to three, it triples in magnitude. The correct option is C.
What is induced electric current?A shifting magnetic field causes an induced current. An induced emf accompanies the induced current. Without a battery in the circuit, a current can be generated.
The induced emf can be described using Faraday's law of induction. Induction is the method of creating current in a conductor by exposing the conductor to a shifting magnetic field.
Since there is no actual physical link between the conductor and the magnet, this phenomenon is known as induction. The magnetic field is said to induce the current in the conductor.
Therefore, the correct option is C. It triples in magnitude.
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Write a statement that explains how the internal and external structures you are discussing work together to support growth and reproduction.
(I WILL GIVE 90 POINTS IF YOU ANSWER THIS!)
Answers
Answer: plants have internal and external structures that support growth and reproduction Examples of internal structures are the xylem and phloem Examples of external structures are the roots and stems. All of these structures provide plants with nutrients and food
Explanation: BRAIN
Remember that different colors have different wavelengths. Given this fact, why would coherent light need to be all one color?
Answers
Different wavelengths of light result in various color perceptions. Whereas violet is perceived by the shortest wavelengths, red is perceived by the longest ones.
How are wavelength and frequency defined?Frequency and wavelength are two important characteristics of a wave cycle. A further definition of "wavelength" is the distance between any two matching positions on adjacent waves. Frequency is another word for the number of waves that pass through a specific location in a specific amount of time.
Is the wavelength of light the same?The wavelength is the space between successive crests, whereas the frequency is the quantity of crests that impact the beach per second. The only distinction is that we do so when discussing light rather than water.
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Why can water dissolve some ionic compounds, like NH4Cl, as well as some nonionic compounds, like methanol?
Answers
Answer:
Water is polar molecule. ... The ionic compounds are dissolved as these ions attract the hydrogen( negative charge attraacts them) and oxygen (positive charge attracts them) whereas methanol is a polar molecule and forms hydrogen bond with water molecules and hence dissolves.
Explanation:
We are going to focus on the gravitational force between Earth and our Moon. The Earth has a mass of about 6 x 10/24 kg and the Moon has a
mass of about 7.3 x 10/22 kg. They are also currently about 4 x 10/8 meters apart.
The gravitational constant, G, is 6.67 x 10-/11 as always.
Question 1
If you were to weight yourself in the moon and the Earth, which would have the higher weight?
Answers
Answer
Gravity is what holds us down on the earth's (or moon's) surface. If you were to weigh yourself on a scale on Earth and then on the moon, the weight read on the moon would be 1/6 your earth weight
When a parachutist jumps from an airplane, he eventually reaches a constant speed, called the terminal velocity. This means thatSelect one:a. the force of air resistance is equal to zero. b. the effect of gravity has died down.c. the effect of gravity increases as he becomes closer to the ground.d the acceleration is equal to g.e. the force of air resistance is equal to the weight of the parachutist.
Answers
When an object moves at constant speed, the net force acting on that object is equal to 0:
\(\Sigma\vec{F}=0\)Two forces act over a parachutist while falling: the force of gravity (weight) and the air resistance. Those two forces have opposite directions, we can consider that the air resistance is positive because it points upwards, and the weight is negative because it points downwards:
\(\begin{gathered} \Sigma F=F_{\text{air}}-F_{\text{gravity}}=0 \\ \Rightarrow F_{air}=F_{gravity} \end{gathered}\)Then, when the parachutist reaches the terminal velocity, the force of air resistance is equal to the weight of the parachutist.
Therefore, the answer is option e:
\(\begin{gathered} e) \\ \text{The force of air resistance is equal} \\ \text{to the weight of the parachutist.} \end{gathered}\)Cardiorespiratory fitness has nothing to do with heart rate.
O A. True
OB. False
Que
Answers
The Statement is False, meanwhile, cardiorespiratory fitness has everything to do with heart rate.
What is cardiorespiratory fitness?The ability of the circulatory and respiratory systems to provide oxygen to skeletal muscles during persistent physical activity is referred to as cardiorespiratory fitness.
CRF is used by scientists and researchers to evaluate the functional capacity of the respiratory and cardiovascular systems.
High-intensity aerobic exercises such as swimming, running, cycling, and jumping rope are examples of cardiorespiratory endurance activities.
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A car hit a speedbump and bounces at a frequency of 3 Hz. If the car has a mass of 600 kg, then how strong is the spring in the car’s suspension?
Answers
Answer:
2.13 x 10^5 N/m
Explanation:
Use two formulas, T=1/f and T=2π \(\sqrt{\frac{m}{k} }\)
T=1/3
Plug in Time and mass into this formula
T=2π \(\sqrt{\frac{m}{k} }\)
1/3=2 \(\sqrt{\frac{600}{k} }\)
K= 2.13 x 10^5 N/m
Which mathematical representation correctly identifies impulse? (1 point)
impulse=forcetimeimpulse is equal to force over time
impulse=force×timeimpulse is equal to force times time
impulse=acceleration×timeimpulse=acceleration×time
impulse=velocitytime
Answers
Answer:
Impulse = Force × Time
Explanation:
Answer:
The Moment of Impact Quick Check
1. B. Impulse = Force × Time
2. A. The momentum of each ball changes, and the total momentum stays the same
3. D. -55 kg·m/s
4. B. 3.5 kg
5. C. 6.3 m/s
Explanation:
I got a 100. You're Welcome.
in an oscillating lc circuit, the maximum charge on the capacitor is 7.0 ✕ 10−6 c and the maximum current through the inductor is 9.5 ma. (a) What is the period of the oscillations?(b) How much time elapses between an instant when the capacitor is uncharged and the next instant when it is fully charged?
Answers
To determine the period of the capacitancein the LC capacitance, we can use the relationship between the capacitance(L) and the capacitance (C):
(a) The capacitance(T) of the oscillations can be calculated using the formula:
T = 2π√(L * C)
(b) The time elapsed between the instant when the capacitor is capacitanceand the next instant when it is fully charged is half of the period, since the charging and capacitancecycles of the LC circuit are capacitance.
Let's solve the equations using the given values:
(a) Maximum charge on the capacitor: \(Q = 7.0 × 10^(-6) C\)
Maximum current through the inductor: \(I = 9.5 × 10^(-3) A\)
We can calculate the capacitance using the formula:
Q = C * V, where V is the voltage across the capacitor when it is fully charged.
Since the voltage across the capacitor is not provided, we need more information to calculate the capacitance accurately.
(b) Assuming we have the capacitance value, we can calculate the period (T) and then find the time elapsed between the uncharged and fully charged instants by dividing T by 2.
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Draw a FBD of m2 and m1. If m2 = 3 kg and m1 = 1 kg what is the magnitude of the block's acceleration? Will m2 accelerate up or down the hill? What is the tension in the wire? (There is no friction) (theta = 40 degrees)
Answers
The block m2 will accelerate up the hill and the magnitude of block's acceleration is \(-2.25m/s^2\) also the tension of the wire is 12.054 N.
Given,
m2 = 3kg
m1 = 1kg
\(\theta = 40 \textdegree\)
Here, the m2 will accelerate uphill.
The free body diagram for the given setup is shown in the figure
Force for the mass m1 can be determined by formula ,F=mg
here, g=-9.8 m/s^2
\(F_1=1*(9.8)=9.8N\)
As the m2 is inclined then the force for m2 can be determined by formula,Here, g is negative because moving against gravity
\(F_2=mgsin\theta=3*(-9.8)*sin40\textdegree=-18.816N\)
The acceleration of the system's blocks can be determined by formula,
\(a=\frac{F_1+F_2}{m_1+m_2}\\\\a=\frac{9.8-18.816}{1+3}\\\\a=\frac{-9.016}{4}=-2.25m/s^2\)
Tension can be calculated by formula,
\(T=m_1g-m_1a=9.8-(-2.254)=12.054 N\)
Thus, the tension of the wire is 12.054 N.
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does a wall or door have more inertia?
Answers
Answer:
wall
Explanation:
Answer:
a wall.
Explanation: