The girl should sit 2.14 m from the center to keep the board in equilibrium.
What is equilibrium?
Equilibrium is a state in which the net force and net torque acting on an object are both equal to zero. This means that the object is either at rest or moving at a constant velocity. In other words, the object is not accelerating or rotating.
In order for the board to be in equilibrium, the sum of the forces acting on it must be equal to zero. Since the board is uniform and supported at the center, the only forces acting on it are the weights of the person and the girl.
To find the distance from the center that the girl should sit, we can set up the following equation:
F_net = 0 = (500 N)(1.5 m) - (350 N)(x)
where F_net is the net force acting on the board, x is the distance from the center where the girl is sitting, and the 1.5 m is the distance from the center where the person is sitting.
Solving this equation for x:
x = (500 N)(1.5 m) / 350 N = 2.14 m
Hence, the girl should sit 2.14 m from the center to keep the board in equilibrium.
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This problem contains several examples of this.Consider an object sliding on a frictionless ramp as depicted here. (Figure 1) The object is already moving along the ramp toward position 2 when it is at position 1. The following questions concern the direction of the object's acceleration vector a_vec. In this problem, you should find the direction of the acceleration vector by drawing the velocity vector at two points near to the position you are asked about. Note that since the object moves along the track, its velocity vector at a point will be tangent to the track at that point. The acceleration vector will point in the same direction as the vector difference of the two velocities.
Which direction best approximates the direction of a_vec when the object is at position 2?
a. straight up b. upward to the right c. straight down d. downward to the right
This problem contains several examples of this.Consider an object sliding on a ramp as depicted here.Downward to the right.
What is the sliding ?
Sliding is a type of motion that involves the movement of an object relative to a surface while keeping contact with it. This type of motion is often used in everyday activities such as walking, running, and skiing. Sliding can also refer to the movement of two or more objects in contact with each other, such as a car door sliding open or a sheet of paper sliding across a table. In physics, sliding is considered to be a type of frictional motion, in which the frictional force between the object and the surface it is sliding on causes the object to move.
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You push a box with a force of 300 N for 5 meters. What is the work done on the box?
Answer:
1500N
Explanation:
For the charge distribution provided, indicate the region (a to e) along the horizontal axis where a point exists at which the net electric field is zero. (figure 1) if no such region exists on the horizontal axis choose the last option (nowhere). View available hint(s)
The region (A to E) along the horizontal axis where a point exists at which the net electric field is zero is point C.
An electric field refers to the physical field surrounding electrically charged particles which exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles. It is defined as the electric force per unit charge. The field direction is taken as the direction of the force it would exert on a positive test charge. The direction of the electric field is always away from the positive charge and towards the negative charge. As seen in the diagram, both positive charges are equidistant from region C, and the strength of charges of the particle is the same in magnitude but opposite in direction, so the net electric field of both charges will be zero in region C.
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Equal and Opposite but Not Balanced
Because action and reaction forces are equal and opposite, you might think
they would cancel out, as balanced forces do. But you would be wrong.
Balanced forces are equal and opposite forces that act on the same object.
That's why they cancel out. Action-reaction forces are equal and opposite
forces that act on different objects, so they don't cancel out. In fact, they often
result in motion. Think about Jerod again. He applies force with his foot to the
ground, whereas the ground applies force to Jerod and the skateboard,
causing them to move forward.
If the forces are equal and opposite, why do they not cancel out?
Answer:
Nedecito puntos para mi tares
Which of the following is true?
O Two objects with the same speed always have the same velocity.
O The velocity of an object can change even if the speed of the object remains constant.
O Velocity describes how fast an object is changing speed.
O Velocity is independent of direction.
The velocity of an object can change even if the speed of the object remains constant.
How are starting and final velocities calculated?Initial velocity (u) squared plus two times the acceleration (a) times the displacement equals final velocity (v) squared (s). Final velocity (v) is equal to the square root of initial velocity (u) squared plus two times the acceleration (a) times displacement when v is the variable being solved for (s).
What distinguishes initial from final?In physics, an object's initial position is its starting point for motion, and its final position is where it comes to rest.
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A 17-N falling object encounters 9 N of air resistance. The magnitude of the net force on the object is
The magnitude of the net force on the object is 8 N. This is because the force of gravity, which is 17 N, is being opposed by the force of air resistance, which is 9 N. Therefore, the net force is 17 N - 9 N = 8 N.
Force is a push or pull on an object that is caused by an interaction between two objects. It has both magnitude, which is the strength of the interaction, and direction, which is the direction in which the force is being applied.
Net force is the sum of all the forces acting on an object. It is calculated by adding up all the forces that are acting on the object, taking into account their directions. This can be used to calculate the acceleration of an object, as the greater the net force, the greater the acceleration.
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What is the work applied to a 1000kg car when it is pushed 1000m up along a 10- degree incline at a constant velocity. Assume the coefficient of friction between the car and the ramp is 0.30.
The required work applied to a 1000 kg car when it is pushed 1000 m up along a 10- degree incline at a constant velocity is calculated to be 4.6 × 10⁶ J.
Given that,
Mass m = 1000 kg
Displacement d = Δx = 1000 m
Angle of inclination θ = 10°
Coefficient of friction μ = 0.3
The equation for work done is known to be,
W = F × d
We must divide the force of gravity into its component parts and examine the side acting in the x-direction in order to calculate the force of gravity in that direction.
F gx direction = F g sinθ = mg sinθ
The force of friction is directly related to μ times the normal force. The normal force in this situation is equivalent to the y component of the force of gravity.
F gy direction = F g cosθ = mg cosθ
We know force of friction, Ff = μ FN
FN = F gy direction
Ff = μ mg cosθ
We know that our force applied must balance both of these forces,
F applied = mg sinθ + μ mg cosθ
As, W = F × d = (mg sinθ + μ mg cosθ) d = ( 1000× 9.8 sin10° + 0.3 × 1000× 9.8 cos10°) 1000 = (9800 sin10° + 2940 cos10°) 1000 = (0.17 × 9800 + 0.985 × 2940) 1000 = (1666 + 2895.9) 1000 = 4561.9 × 10³ J = 4.6 × 10⁶ J
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Based on the Previous two questions: According to Newton's Second Law, how much force does Marisa need to apply in order to stop the sled?
a
0.048 kg m/s
b
-0.075 N
c
2.50 N
d
-0.048 N
Answer:
See explanation
Explanation:
The question is incomplete, as the required parameters are missing. The general solution to this is as follows;
First, get the mass (m) and the acceleration (a) of the sled
So, the force (f) to stop the sled is:
[tex]f = ma[/tex] ---- Newton 2nd law
However, the force to stop the sled will be in the opposite direction of the sled.
So:
[tex]f =-ma[/tex]
Assume that:
[tex]m \to 5kg[/tex]
[tex]a \to 6m/s^2[/tex]
The required force is:
[tex]f =-ma[/tex]
[tex]f =-5kg * 6m/s^2[/tex]
[tex]f = -30N[/tex]
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
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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The mass of a body is 12 kg. What is the resulting acceleration if a forced 6 N is applied on it in the direction of motion ?
Answer:
0.5 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]a = \frac{f}{m} \\ [/tex]
f is the force
m is the mass
We have
[tex]a = \frac{6}{12} = \frac{1}{2} = 0.5 \\ [/tex]
We have the final answer as
0.5 m/s²Hope this helps you
given vectors ab, dc, and bc, simplify ab − dc + bc.
AB+CD+BC=AB+BC+CD=AD. It tells us that first traveling from A to B, then B to C, and from C to D is equivalent to directly traveling from A to D
Vector addition is defined as the geometrical sum of two or more vectors as they do not follow regular laws of algebra.
There are a few conditions for any vector addition, they are:
Scalars and vectors can never be added.For any two vectors to be added, they must be of the same nature.There are two laws of vector addition, they are:
Triangle law of vector additionParallelogram law of vector additionTriangle law of vector addition states that when two vectors are represented as two sides of the triangle with the order of magnitude and direction, then the third side of the triangle represents the magnitude and direction of the resultant vector.
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Why does torque increase with distance?
Torque increases with distance because torque is defined as the force acting on an object multiplied by the distance from the axis of rotation. The farther the force is applied from the axis of rotation, the greater the torque will be.
To understand this, imagine a lever with a weight on the end of it. If the weight is placed closer to the pivot point of the lever, it will take less force to lift the weight than if the weight is placed farther away from the pivot point. This is because the farther the weight is from the pivot point, the greater the torque will be. The same is true for any object that is being rotated around an axis - the farther the force is applied from the axis of rotation, the greater the torque will be.
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In Newton's second law, F = ma, the mass m is a gravitational mass.
(a) True
(b) False.
True: In newton's second law, F = ma, the mass m is a gravitational mass.
What is Newton's second law?
Newton's second law of motion states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. In equation form this can be written as F = ma, where F is the net force applied,
m is the mass of the object, and a is the acceleration of the object. This law explains that the larger the force applied, the greater the acceleration of the object.
Also, the larger the mass of the object, the lower the acceleration when the same force is applied to the object.
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What area of glass is needed to support a mass of 1000 kg if the glass can withstand a maximum pressure of
20kPa?
Answer:
since, Pressure=Force/Area
then,Area=Force/Pressure
or,Area=20000/1000
:.Area=20 m²
In general, sound
travels faster through
Answer:
solids
Explanation:
the particles of solid are closely packed , so it is much more easier to transfer sound wave from one particle to another compared to air and water which the particles are farther away from each other .
After the switch is closed, which plate of the capacitor eventually becomes positively charged?
O the top plate O the bottom plate O both plates O nelther plate because electrons are negatively charged
The correct option is A, After the switch is closed, the top plate of the capacitor eventually becomes positively charged.
A capacitor is a passive device that stores electrical energy in an electric field. It consists of two conducting plates separated by an insulating material such as air, paper, mica, ceramic, or plastic. When a voltage is applied across the two plates, the electric field created between them stores the energy in the form of an electrostatic potential.
When the voltage is removed, the charge stored in the capacitor is slowly discharged, releasing the energy. Capacitors are used in a wide range of applications, from power supplies and signal processing to motor control, filtering, and energy storage. They are also used to smooth out short-term fluctuations in voltage or current and are key components in many types of electronic circuits.
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You need to move a 117-kg sofa to a different location in the room. It takes a force of 109 N to start it moving. What is the coefficient of static friction between the sofa and the carpet
According to the question, the sofa and carpet have a static friction coefficient of 10.519.
Static Friction: What Is It?Static friction is defined as a force that maintains an object at rest. when someone tries to move a stationary thing across a platform without actually moving their body or the platform they were moving the object across, they face resistance.
Given:
Wight of sofa = 117 kg
Force= 109N
weight = mass × acceleration due to gravity 117 × 9.8 = 1146.6
the mass is given in kilograms, but work in newtons, thus we multiplied the mass by 9.8
acceleration = Zero
force = resistance
substitute force with 109N and resistance with 1146.6× μ
109 = 1146.6 × μ
μ = 1146.6/109
μ = 10.519
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explain why many houses in hot areas like Mombasa should be painted white while those in colder places like timboroa should be painted with dark colours
Answer:
In places of hot climate, it is advised that the outer walls of house be painted white because white color does not absorb any heat radiation from the sun which keep inside cool even if there is hot climate outside the house.
Write the equation of the line that represents the relationship between the two relative temperature scales degrees Fahrenheit and degrees Celsius. The information below is useful.Water freezes at (0 Celcius degrees, 32 Farenheit degrees)
Water boils at (100 Celcius degrees, 212 Farenheit degrees)
Celsius (C) scale to its Fahrenheit (F) relation is [tex]F = \frac{9}{5} C + 32[/tex].
The degree Celsius is a temperature unit on the Celsius scale, which is one of two temperature scales employed by the International System of Units (SI) alongside the Kelvin scale. The degree Celsius (symbol: °C) can refer to a certain temperature on the Celsius scale or a unit used to represent the difference or range between two temperatures. It is named after Anders Celsius (1701-1744), a Swedish astronomer who invented a comparable temperature scale in 1742. The measurement was previously known as centigrade, from the Latin centum, which means 100, and gradus, which represents steps, until being changed in 1948 to honour Anders Celsius.
The Fahrenheit scale is a temperature scale that was proposed by scientist Daniel Gabriel Fahrenheit in 1724. The degree Fahrenheit is the unit of measurement. Fahrenheit temperature scale, based on the freezing point of water at 32° and the boiling point of water at 212°, with the distance between the two split into 180 equal parts.
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A 1. 5-mole sample of an ideal gas is gently cooled at constant temperature 320 K. It contracts
from initial volume 19 L to final volume V2. A total of 1. 2 kJ of heat is removed from the gas during the contraction process. What is V2? Let the ideal-gas constant R = 8. 314 J/(mol. K).
A mole sample of an ideal gas is gently cooled at constant temperature 320 K.
What happens when gas is cooled at constant temperature?Since the internal energy of an ideal gas is proportional to temperature, it does not change when the temperature is held constant. The first law, which governs changes in internal energy, changes to 0 = Q - W, resulting in Q = W. Both the temperature and the volume of the gas decrease as it cools at a constant pressure. The fundamental behaviour of fluids with respect to volume, pressure, and temperature is described by Boyle's, Charles', and Gay Lussac's Laws. When heat is applied at constant pressure, some of it is utilised to cause gas to expand while the remainder is used to raise the gas' temperature, which increases the gas' internal energy.To learn more about constant temperature refer to:
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A student wants to investigate the motion of a ball by conducting two different experiments, as shown in Figure 1 and Figure 2 above. In Experiment 1, the student releases a ball from rest and uses a slow-motion camera to film the ball as it falls to the ground. Using video analysis, the student is able to plot the ball’s horizontal position x and vertical position y as a function of time t. In Experiment 2, the student horizontally rolls the same ball off a table, and uses video analysis to plot the ball’s horizontal position x and vertical position y as a function of time t starting from the instant the ball leaves the table. The graphs from each experiment are shown above along with each graph’s best-fit curve line.
Question:
Suppose that Experiment 1 and Experiment 2 are conducted at the same time; one student drops the ball from rest at the same instant that a second student horizontally rolls an identical off the table. After both balls have traveled half their vertical distance to the floor, what is the acceleration of the center of mass of the two-ball system relative to Earth?
A) Equal to g
B) Less than g, but not zero
C) Less than g , but not zero
D) Zero
The acceleration of the center of mass of the two-ball system relative to Earth is equal to g after the balls have travelled for half their vertical distance to the ground, option A.
What is the center of mass of any object?The total force acting on the system is equal to the acceleration of the center of mass multiplied by the total mass of the system. When applied to an extended object, Newton's second law, F = ma, predicts the motion of a specific reference point for this object. The center of mass is the name given to this reference point.
When we throw an object upward, gravity acts on it, and the acceleration it experiences is the inverse of the acceleration caused by gravity, i.e. deceleration. As a result, the acceleration of each ball will be g. As a result, the acceleration of the center of mass of the two balls thrown upward is g.
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Question in picture CIRCUITS
Answer:
B. Current increases because it is directly proportional to voltage
Explanation:
Ohms law is used to show the relationship between the current, voltage and resistance of a substance. The Ohms law equation is as follows:
V = IR
Where;
V = voltage (volts)
I = current (amperes)
R = resistance (ohms)
Based on these equation, it is evident that the current (I) is directly proportional to the voltage (V), hence, as the voltage increases, the current also increases. According to this question, when the voltage is tripled (increased), the current also increases because it is directly proportional to voltage.
1. When the current I is positive, the capacitor charge Q isdecreasing.
2. When the current I is positive, the measured VOLTAGE IN 2 willbe negative.
3. When the capacitor charge Q is positive, the measured VOLTAGE IN1 is positive.
4. The capacitor charge Q exponentially decays to zero when the RELAY is thrown to position N.O.
5. The transient currents that flow in this experiment decay exponentially to zero
1. The capacitor charge Q is decreasing while the current I is positive is false
2. If the measured voltage in 2 is negative when the current I is positive, it is false.
3. When the measured VOLTAGE IN1 is positive, the capacitor charge Q is positive, which is True.
4. When the RELAY is thrown to the position N.O is False, the capacitor charge Q rapidly decays to zero.
5. This experiment's transient currents flow exponentially decrease to zero, which is false
A capacitor is a type of electric device that can charge and store electrical energy when a voltage is applied to its terminals.
Formulas link the applied voltage to the capacitor's charge Q and currents I.
The final formula shows that while the current is positive, the capacitor's voltage is positive (increasing) and the
Q=CV
I=dQ/dt=C(dQ/dt)
The charge is rising.
As a result, the question's assertion is false.
As the currect is flowing from VOLTAGE IN 2 to VOLTAGE IN 1 it will be positive.
As a result, the question's assertion is false.
The measured VOLTAGE IN1 is positive when the capacitor charge Q is positive.
As a result, the question's assertion is True.
The position of the relay is the N.O. position which stands for "normally opened", i.e. no current can flow through it.
As a result, the question's assertion is false.
The following formula provides the transient current flow in this experiment:
[tex]i=i_0e^{\frac{-t}{RC}}[/tex]
As a result, the question's assertion is false.
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Note: The diagram of the question is added bellow,
Why is static flexibility important?
Static stretching promotes range of motion (ROM), reduces musculotendinous stiffness, and lowers the risk of acute muscle strain injuries by relaxing and lengthening the muscles.
Benefits and objectives:Static is primarily used for variables or methods that are constant across all instances of a class. Static stretching has the potential to reduce discomfort and stiffness after a workout while also enhancing flexibility and range of motion. To help you feel more relaxed, static stretching is a fantastic approach to help your muscles release stress and tension. It is quite efficient to improve flexibility in this way. You should incorporate static stretches into your cool-down routine to help prevention of injury.
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A car traveling at a constant speed covers a distance of 750 m in 25 s.What is the cars speed
Answer:
30 m/s
Explanation:
Answer:
The speed is equal to Distance divided by Time.
The SI Unit of Speed is m/s or meters per second.
V = S/T
= 750/25
= 30 m/s
Which graph shows the change in velocity of an object in free fall?
Answer: B
Explanation:
Free fall -> constant acceleration of g = 9.81ms-1
Constant acceleration -> velocity increases at a constant rate (increases proportionally with time)
Math behind it:
* Velocity is the integration of acceleration, likewise acceleration is the differentiation of velocity. Integrating a constant value gives linearly increasing function in terms of x. (integrating with respect to x)
Hence, graph B shows the trend that velocity increases at a constant rate.
Graph A - Velocity decreases linearly
Graph C - Also decreases nonlinearly
Graph D - Not possible scenario. Velocity approaches infinity.
P(A/B) - P(ANB)
P(B)
P(Girl|Sophomore)
Answer:
9/10
Explanation:
What happens to matter when thermal energy is added to a substance at its melting and boiling point?
Endothermic processes occur when heat is applied to a substance, as in melting, evaporation, and sublimation. Heat increases the speed of the molecules in this case, forcing them to travel quicker.
Thermal energy is the energy contained inside a system that controls its temperature. The passage of thermal energy is defined as heat. Thermodynamics is a discipline of physics that deals with how heat is transmitted between various systems and how work is done in the process (see the first law of thermodynamics).
Thermal energy transmission is classified into three types: conduction, radiation, and convection. Convection is a cyclical process that happens exclusively in liquids.
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The motion of a particle is described by x= 10 sin2t + 8cos2t. Determine the period, amplitude and phase angle
If the motion of a particle is described by x=10 sin2t+8cos2t then the period , amplitude and phase angle will be:-
Period of the function is given by the reciprocal of the frequency, which is 1/2. Thus, the period is T = 2/1 = 2.
The amplitude of the function is given by the maximum value of the function minus the minimum value of the function. The maximum value of the function is 10 + 8 = 18 and the minimum value of the function is -10 + 8 = -2. Thus, the amplitude is A = 18 - (-2) = 20.
The phase angle is given by the angle between the x-axis and the line representing the function. The function is a combination of sine and cosine functions, so the phase angle is given by the angle between the x-axis and the line y = 10x + 8. The slope of this line is 10, so the phase angle is tan^-1(10) = 84.3 degrees.
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A delivery company charges 10¢ per cubic inch to deliver a package. If a box is 9 inches long, 7 inches wide, and 4 inches deep, what will it cost to be delivered?
Answer: [tex]2520[/tex]¢
Explanation:
Given
Company charges [tex]10[/tex]¢ per cubic inch
The dimension of the box is [tex]9\ in.\times 7\ in.\times 4\ in.[/tex]
The volume of the box is
[tex]V=9\times 7\times 4\\V=252\ in.^3[/tex]
Therefore cost associated with it is
[tex]\Rightarrow C=10\times 252\\\Rightarrow C=2520[/tex]
Thus, the cost is [tex]2520[/tex]¢.
Answer:
25.20
Explanation: