7 Someone is trying to balance a (110cm) plank with certain forces. a) Calculate the moment of the 60N force (about O), then name its type. b) Calculate the moment of the 30N force (about O), then name its type c) Will the plank balance? If not, which way will it tip? d) What extra force would be needed at (B) to balance the plank?

Answers

Answer 1

Answer:

(a)  30 Nm. Clockwise moment

(b)  15 Nm Anti clockwise

(c) Not balance, it tip to the clockwise direction

(d) 150 N

Explanation:

Assumimg the diagram attached is required to complete the question,

(a) Moment of 60 N force (about O) is

Moment = Force(F)× perpendicular distance (d)

M₁ = F₁d₁................ Equation 1

From the diagram, F₁ = 60 N, d₁ = 50 cm = 0.5 m

M₁ = 60×0.5

M₁ = 30 Nm. Clockwise moment.

(b) The moment of the 30 N force (about O) is given as

M₂ = F₂d₂

From the diagram, F₂ = 30 N, d₂ = 50 cm = 0.5 m

M₂ = 30×0.5

M₂ = 15 Nm Anti clockwise

(c) The plank will not balance because the sum of clockwise moment is not equal to the sum of anti clock wise moment. It tip to the clockwise direction.

(d) From the diagram,

Applying the principle of moment,

Sum of clockwise moment = sum of anti clockwise moment.

30(0.5)+X(0.1) = 60(0.5)

15+0.1X = 30

0.1X = 30-15

0.1X = 15

X = 15/0.1

X = 150 N.


Related Questions

Which of the following would be potential impacts of global climate change on thermohaline circulation in the oceans?

A: slowing the rate of circulation


B: no effect of circulation


C: changing the direction of circulation


D: increasing the rate of circulation

Answers

The potential impacts of global climate change on thermohaline circulation in the oceans is increasing the rate of circulation. That is option D.

What is thermohaline circulation?

The thermohaline circulation is defined as the process by which deep-ocean currents are driven by differences in the water's density, which is controlled by temperature (thermo) and salinity (haline).

When there is global climate change increased temperature of water masses would cause these currents to flow faster given the higher kinetic energy of the water molecules.

Therefore, there is increase in rate of circulation when there is global climate change.

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Decribe the motion of a body following under gravity and write the related equation

Answers

It states that the force F acting on a body is equal to the mass m of the body multiplied by the acceleration an of its center of mass, or F = ma.

What is the body's equation of motion?

The fundamental equation of motion in classical mechanics is F = ma.

Since gravity affects an object's vertical motion, while it moves, it is said to be in motion under gravity.

The force that pushes objects downward is called gravity. In reality, gravity draws things toward the centre of the Earth. Homogeneous acceleration is experienced by a body in free fall.

Motion. It is said that the body is moving at an accelerated rate. Therefore, if a body falls freely while being affected by gravity, its velocity will begin to increase at a rate of 9.8 m/s2.

When a body falls freely under the effect of gravity alone in a vacuum, potential energy continuously decreases and kinetic energy continuously increases; as a result, the conservative force acts on the body.

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Order the electromagnetic waves from lowest frequency (1) to highest (4). gamma: infrared: x-ray: visible light:

Answers

Gamma: 4

Infrared: 1

X-Ray: 3

Visible Light: 2

Infrared has the longest wavelength between the four options, meaning that it has the lowest frequency. Since the longer the frequency, the lower the frequency. While the shorter the wavelength, the higher the frequency.

The portions of the electromagnetic spectrum are called from greatest to lowest energy: gamma rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves. Microwaves (such as those used in microwave ovens) are a subset of the electromagnetic spectrum's radio wave segment.

Next would be visible light since it has the second longest wavelength out of the given options. Then it would be X-Ray. And finally Gamma since it has the shortest wavelength.

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different between simple cell and dry cell

Answers

Answer:

Simple cell has liquid chemicals and it is difficult to carry from one place to another. Dry cell has no solution. So, it is easier to carry it from one place to another and there is no risk of spilling acid from the dry cell. So, dry cell is more useful than simple cell in our daily life.

I walked 45 m East then turned to the north and walked 30 m. What was the magnitude of my displacement?

Answers

The magnitude  displacement vector's magnitude (or length), which is indicated by the arrow's length, measures the separation between the locations.

How can I determine how much movement there is?

d = (((x2 - x1)2 + (scaling factor - y1)2)12 represents the displacement's magnitude. The displacement vector's size, or distance d, is its length. The guided line segment connecting P1 and P2 is the displacement vector's (d) direction. We refer to this straight line segment as a geometric or look of the scalar d.

What is a displacement example of what magnitude?

When we talk about magnitude, we don't only imply the amount of a displacement; we also imply its orientation  just a number with a unit  As just an illustration, the professor might repeatedly pace back and forth, possibly

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Someone help me with these questions

Answers

Answer:

Im not 100% sure so don't completly rely on these answer s

#1 is B

#2 ia B

#3 is A

#4 is A

#5 is A

and i think #6 is A

im 100% sure that 3 and 4 are A tho  

Explanation:

A proton moving at 3.40 106 m/s through a magnetic field of 1.97 T experiences a magnetic force of magnitude 7.71 10-13 N. What is the angle between the proton's velocity and the field

Answers

When the proton passed through magnetic field then the angle between the proton velocity and the field is 49° degrees.

Given

Speed v = 4.00 m/s

Mg field =1.7 T

Force = 8.21  10-3  N

Given:- Velocity of the particle = 4.00x10m/3. 2 Magnitude of the magnetic field B= 1.701.

Force experienced by the particle: 8.20x10¹³N.

To find: The between the particle velocity and field. angle a

We know that :- F= q(√xB)

9 (VBSino) 928 - Sina

Sina = 8.20×10-13 1.6×10-19×4×10 6 x 1.70 = 0.7536.

Sin a = 0.7536. ~ Sin 0 = 0.754

a = sin' (0.7536)

a = 49°

we have a point charge q0 located at r and a set of external charges conspire so as to exert a force F on this charge. We can define the electric field at the point r by: E =Fq0

The (vector) value of the E field depends only on the values and locations of the external charges, because from Coulomb’s law the force on any “test charge” proportional to the value of the charge. However to make this definition really kosher we have to stipulate that the test charge q0 is “small”; otherwise its presence will significantly influence the locations of the external charges.

The electric field is a vector. we can see that its SI units must be It follows from Coulomb’s law that the electric field at point r due to a charge q located at the origin is given by E = kq where r is the unit vector which points in the same direction as r.

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A person finds it easier to lift an anchor through the water than lift it into the boat through the air. Why?

Answers

Answer:

because underwater a force called buoyant force of upthrust applies in the objects in water in the upward direction

the electrical potential due to a dipole on its axis at a point p at a large distance x from the dipole is given by v

Answers

The electrical potential due to a dipole at a point P on its axis at a large distance x from the dipole is given by the formula: V = (p * x) / (4 * pi * epsilon_0 * x^2)

Where:

p is the dipole moment, a vector quantity that represents the magnitude and direction of the dipole. It is defined as the product of the magnitude of one of the charges (q) and the distance between the charges (d), p = q*d.x is the distance from the dipole to point P, it is a scalar quantity.epsilon_0 is the electric constant or vacuum permittivity, it is a scalar quantity that relates the electric flux density to the electric field strength. Its value is approximately 8.85 x 10^-12 C^2/Nm^2.The equation assumes that point P is located on the axis of the dipole (the line connecting the two charges) and that the distance x is much larger than the size of the dipole. This means that the dipole can be considered as a point source of electric potential and the field at point P is well approximated by the field of a point charge.It's important to note that the formula gives the potential at point P due to the dipole, however, the dipole itself also has an electric field which can be found by taking the gradient of the potential.

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At t = 0, a wheel rotating about a fixed axis at a constant angular acceleration of -0.40 rad/s2 has an angular velocity of 1.5 rad/s and an angular position of 2.3 rad. what is the angular position of the wheel at t = 2.0 s?

Answers

At t = 0, the wheel has an angular position of 2.3 rad and an angular velocity of 1.5 rad/s.

Since the wheel is rotating about a fixed axis at a constant angular acceleration of -0.40 rad/s2, we can use the equation for angular position to calculate the wheel's angular position at t = 2.0 s.

Angular position = initial angular position + (initial angular velocity × time) + (1/2 ×angular acceleration ×time²)

Angular position at t = 2.0 s = 2.3 rad + (1.5 rad/s × 2.0 s) + (1/2 ×-0.40 rad/s2 × (2.0 s)²)

Angular position at t = 2.0 s = 2.3 rad + 3.0 rad + -1.6 rad

Angular position at t = 2.0 s = 3.7 rad

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To lift a baby from a crib 50 J of work is done. How much power is needed if the baby is
lighted in 0.5s?

Answers

Answer:

Power = 100 Watts

Explanation:

Given the following data;

Workdone = 50 Joules

Time = 0.5 seconds

To find the power needed;

Power can be defined as the energy required to do work per unit time.

Mathematically, it is given by the formula;

[tex] Power = \frac {workdone}{time} [/tex]

Substituting into the formula, we have;

Power = 50/0.5

Power = 100 Watts

A 2.5-kg cart is rolling along a frictionless, horizontal track towards a 1.3-kg cart that is held initially at rest. The carts are loaded with strong magnets that cause them to attract one another. Thus, the speed of each cart increases. At a certain instant before the carts collide, the first cart's velocity is 4.6 m/s, and the second cart's velocity is -1.8 m/s. (a) What is the total momentum of the system of the two carts at this instant

Answers

The required total momentum of the system at this instant is calculated to be 9.16 kg m/s.

Given that,

Mass of the first cart, m₁ = 2.5 kg

Mass of the second cart, m₂ = 1.3 kg

Velocity of the first cart before collision, u₁ = 4.6 m/s

Velocity of the second cart before collision, u₂ = -1.8 m/s

The total momentum of the system before collision is calculated as follows,

P t = P₁ + P₂

P t = m₁ u₁ + m₂ u₂ = 2.5 × 4.6 + (1.3 × -1.8) = 11.5 - 2.34 = 9.16 kg m/s

Thus, total momentum of the system of the two carts at this instant is 9.16 kg m/s.

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Here's the screenshot

Answers

I think the answer is B

A tsunami caused by an earthquake occurring in Alaska in 1946 consisted of several huge waves which were found to travel a distance of 3607 km. The first of the waves reached Hawaii 4.567 hours after the earthquake occurred. From this data, calculate the speed of the tsunami.

Answers

From the given data, the speed of the tsunami is 789.8 km/h.

What is the speed of the tsunami?

The speed of the tsunami is calculated from the relationship between distance travelled by the wave and the time of motion of the wave.

Mathematically, this formula is given as;

v = d / t

where;

d is the distance travelled by the wave of the earthquaket is the time of motion of the wave

From the given data, the speed of the tsunami is calculated as follows;

v = ( 3607 km ) / ( 4.567 hr )

v = 789.8 km/h

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The mass of the Earth is 5.972 x 1024-kg and its orbital radius is an average of 1.496 x 1011 meters. Calculate its linear momentum. (Hint: It takes the Earth 365 days to complete one orbit.)

Answers

The linear momentum of the earth when mass and orbital radius are given is calculated to be 17.8 × 10²⁸ kg m/s.

The orbital radius (r) of earth is 1.496 × 10¹¹ m. So, the distance covered by one rotation is,

Distance = 2 π r = 2π (1.496 x 10¹¹) m

365 day when converted into seconds is, 365 × 24 × 60 ×60 s

So, the period of one rotation is 3.15 × 10⁷ s.

The velocity of earth (v) = distance/time = [2π (1.496 × 10¹¹)]/ 3.15 x 10⁷ = 298840 m/s

Linear momentum = mass × velocity = 5.972 × 10²⁴ kg × 298840 m/s = 17.8 × 10²⁸ kg m/s

Therefore, the linear momentum of earth is 17.8 × 10²⁸ kg m/s

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The scale on a map states that 1 centimeter corresponds to 20 kilometers. On the map, two cities are 0.3 cm apart. Find the actual distance.a.6 kmc.0.6 kmb.600 kmd.60 km

Answers

The actual distance is 6 km. The solution to the problem is as follows: By ratio and proportion: 1:20 = 0.3:x, Cross multiplying: 20(0.3) = x, x = 6

Therefore the answer is the first choice or letter A which is 6 km.

How would a surface without friction feel?

It just seems slick, almost like touching ice but without the frigid sensation, according to my firsthand experience of both. Sorry, it's really nothing exceptional. Any surface would be sufficient if it had some lubrication oil on it.

Is there any surface in the world without friction?

In reality, there are no frictionless planes. If they did exist, items on them would almost certainly behave exactly as Galileo predicted if they did. Despite not existing, they are extremely valuable for designing things like engines, motors, roads, and even tow truck beds, to mention a few.

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What is the combined resistance of 5 ohms wire arranged in series with a parallel arrangement of 4 ohms and 6 ohms wires

Answers

Answer:

7.4 Ω

Explanation:

Let,

R1 = 5 Ω

R2 = 4 Ω

R3 = 6 Ω

R1 is connected series.

R2 and R3 are connected in parallel.

1 / Rp = 1 / R2 + 1 / R3

= 1 / 4 + 1 / 6

= 3 / 12 + 2 / 12

1 / Rp = 5 / 12

Rp = 12 / 5 = 2.4 Ω

Effective resistance

= R1 + Rp

= 5 + 2.4

= 7.4 Ω

Therefore, the combined resistance of 5 ohms wire arranged in series with a parallel arrangement of 4 ohms and 6 ohms wires is

7.4 Ω.

A passenger elevator operates at an average speed of 8 m/s. if the 60th floor is 219 m above the first floor,how long does it take the elevator to go from the first floor to the 60th floor?

Answers

Answer:

27s

Explanation:

Time = distance/speed

Time = 219/8

Time = 27.375 s

do transistors amplfy a.c or d.c

Answers

Explanation:

thet amplify DC, because of the voltage ( small current input signal)

Answer:

Yes,by using direct coupling(transistors) amplifier we will amplify low frequency (DC) signals. A transistor is certainly capable of taking a small-current input signal and controlling a high-current output at the same voltage, thereby amplifying the power of the input signal whether it's AC or DC.

Can you give me brainliest?please?

In the video, Dr. Hewitt lifts a bowling ball on a rope to his teeth, then lets go, the ball swings away and returns. What happens the first time Dr. Hewitt lifts the bowling ball near his teeth and lets go?
answer choices
O The ball returns to Dr. Hewitt, stopping almost exactly at the point where it was released.
O The ball leaves Dr. Hewitt and returns to him, going past the point where it was released.
O The ball leaves Dr. Hewitt and returns to him, stopping short of the point where it was released.

Answers

Option 1 is correct choice, The ball returns to Dr. Hewitt, stopping almost exactly at the point where it was released.

Potential energy becomes kinetic energy when a stationary item begins to move. When an item in motion stops moving, its kinetic energy transforms into potential energy.

Here, the energy input from the push is transforming into kinetic energy, which would be later transformed into even more potential energy than the ball had at the beginning of the motion.

The component of swinging is called kinetic energy, and it is the speed at which the ball runs back and forth. The most powerful aspect of swinging is potential energy. The ball achieves more potential energy the higher you go on the swing, so When it comes back to Dr. Hewitt, the ball stops almost exactly where it started.

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A 64.5 kg astronaut is on a space walk when the tether line to the shuttle breaks. The astronaut is able to throw a 12.0 kg oxygen tank in a direction away from the shuttle with a speed of 14.9 m/s, propelling the astronaut back to the shuttle. Assuming that the astronaut starts from rest, find the final speed of the astronaut after throwing the tank.

Answers

The final speed of the astronaut after throwing the oxygen tank can be calculated using the conservation of momentum principle.

This principle states that the total momentum of an isolated system remains constant if no external forces act on the system.The momentum of the oxygen tank is given by the equation.

p_t = m_t*vThe conservation of momentum principle states that the initial momentum of the system is equal to the final momentum of the system.

p_i = p_f

The final momentum of the system is the momentum of the astronaut-tank system after the astronaut throws the tank.

p_f = (m_a + m_t)v_f = (64.5 + 12) * v_f = 76.5 * v_f

So the final momentum of the system is equal to the momentum of the oxygen tank.

p_t = m_tv = 1214.9 = 178.8We can set the two equations equal to each other and solve for v_f

178.8 = 76.5 * v_f

v_f = 178.8 / 76.5

v_f = 2.33 m/s

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A car is traveling $$ m/s when the gas pedal is released and the brakes are gradually applied, resulting in an acceleration given by the function $$ m/s^2. What is the distance traveled before the car comes to a stop?

Answers

The distance traveled before the car comes to a stop is 66.66 m. It's important to note that the negative sign on acceleration indicates that the car is slowing down.

Calculation-

To find the distance traveled before the car comes to a stop, we can use the formula for distance traveled under constant acceleration. The formula is:

Distance = initial velocity * time + (1/2) * acceleration * time^2

The car is traveling at an initial velocity of 20 m/s and the acceleration is given by the function -6.0t, where t is the time in seconds.

We can find the time it takes for the car to come to a stop by setting the final velocity to 0 and solving for t.

0 = 20 + (-6.0)t

t = 20/6

t = 3.333 s

Now that we have the time, we can substitute it back into the distance formula along with the initial velocity and acceleration:

Distance = 20 * 3.333 + (1/2) * -6.0 * (3.333)^2

Distance = 66.66 m

How much further will the automobile go before stopping?

The reaction distance for a vehicle traveling at 60 mph on the highway is 312 feet, and the reaction distance for a vehicle traveling at 80 mph is 496 feet. Simply put, at current speeds, doubling the car's speed will result in a three-fold increase in stopping distance.

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Expression for kinetic energy is __________ while that of potential energy is __________

Answers

hope this helps!!!

KE= 1/2mV^2 PE=mgh

If researchers failed to take into account the effect of air resistance on the pitch, how would it impact their measurements of the efficiency of energy transfer from the arm to the baseball

Answers

The efficiency of energy transfer from the arm to the baseball would be lower than the actual efficiency, as there was a higher initial velocity at release.

In order to answer this question, we must look at the experimental design and assess how air resistance would affect the scientists' computations. The ball's velocity would be reduced as it moved from the mound to home plate, where the velocity was measured, due to air resistance.

Therefore, the measured velocity ought to be lower than the release velocity. As a result of the baseball's predicted energy being lower due to the lowered velocity, the efficiency of the energy transfer from the arm to the ball will also be lower.

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Is SCID a deletion mutation?

Answers

No, SCID is not a deletion mutation.

The AK2 gene, which codes for the mitochondrial enzyme adenylate kinase 2 (AK2), is mutated (missense mutations; deletions) in SCID, which is brought on by an increase in lymphocyte apoptosis [75,76]. A category of extremely rare diseases known as severe combined immunodeficiency (SCID) are brought on by abnormalities in various genes involved in the growth and operation of immune cells that fight infections. At birth, infants with SCID seem healthy, yet they are prone to serious infections.

Due to mutations in the gene encoding the common chain for several cytokine receptors, X-linked SCID is the most prevalent kind. Adenosine deaminase deficiency (ADA def.) and IL-7R-chain deficiency are the second and third most frequent causes, respectively.

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Activity C (continued from previous page)
5. Draw connections: The uranium fission reactions are triggered by a neutron, and each
reaction produces two or three more neutrons. What do you think will happen next?
114
TA

Answers

Answer:

The neutrons released in the 1st fission reaction will trigger more fission reactions to occur., thus creating a chain reaction.

The fission reaction is a chain reaction. When the fissile nucleus is bombarded with a neutron, more neutrons are produced and the reaction continues indefinitely.

One of the types of artificial radioactive decay is nuclear fission. Nuclear fission occurs when a fissile nucleus is bombarded with a nucleus. When this occurs, the nucleus is broken up into smaller fragments called daughter nuclei and energy is produced.

Also, more neutrons are produced that can continue to bombard more of the fissile material in order to continue the reaction. As a result of this, nuclear fission is often referred to as a chain reaction because it is self sustaining.

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The drop time can be calculated as follows: where y is the vertical height of the table and g is the
acceleration due to gravity. How did the calculated drop time compare to the average of your measured drop
times? Find the percent error using the following equation:
What factors might cause the differences?

Answers

Answer:

Tt can be calculated by copy

1 Write 7 next to the statements that are true.
Write F next to the statements that are false.
Then write corrected versions of the statements thatare false.

The pressure in a liquid dec reaches with depth.

The upthrust on an object is larger when it is deeper in a pool.

The bottom of a dam is thinner than the top of a dam.

The pressure is bigger at the bottom of a lake because of the weight of water above it

Answers

Answer: The pressure in a liquid dec reaches with depth. F

The pressure in a liquid increases with depth.

The upthrust on an object is larger when it is deeper in a pool. 7

The bottom of a dam is thinner than the top of a dam. F

The bottom of a dam is thicker than the top of a dam.

The pressure is bigger at the bottom of a lake because of the weight of water above it. 7

I think these are the answers.

A voltage source provides ___________ required for electric current.

Answers

Two terminal device which can maintain a fixed voltage. Hope this help I need more detail in your question this is all I can provide. :)

Please help! The image produced by a concave mirror is ? .

Answers

Answer:

is a reflection.

The image is real light rays actually focus at the image location). As the object moves towards the mirror the image location moves further away from the mirror and the image size grows (but the image is still inverted). When the object is that the focal point, the image is at infinity.

Explanation:

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