A uniforn half metre rule is pivated at its 30cm mark. A mass of 50g hung at the 45cm mark keeps the rule horizontal. determine the mass of the half metre rule​

The magnitude of the air drag is 784 N

Explanation:

When the airman is falling down, there are two forces acting on him:

- The force of gravity, downward, of magnitude

[tex]F=mg[/tex]

where

m = 80 kg is the mass of the airman

[tex]g=9.8 m/s^2[/tex] is the acceleration of gravity

- The air drag, upward, of magnitude [tex]F_D[/tex], whose value is proportional to the speed of the airman

At the beginning of the fall, the speed is zero, so the air drag is also zero and therefore the airman starts accelerating due to the presence of the force of gravity, which is unbalanced. However, as the airman falls down, he gains speed, so the magnitude of the air drag increases up to a point where it becomes equal to the magnitude of the force of gravity. When this occurs, the airman no longer accelerates and continues its motion at constant velocity, which is called terminal velocity.

Therefore, at terminal velocity, the air drag is equal to the force of gravity on the airman (the weight), so we can write:

[tex]F_D = mg = (80)(9.8)=784 N[/tex]

Learn more about forces:

brainly.com/question/8459017

brainly.com/question/11292757

brainly.com/question/12978926

#LearnwithBrainly

If an object is moving to the right in translational equilibrium, it means the sum of all the forces acting on the object is zero indicating a state of balanced forces. Translational equilibrium indicates the body is moving in a straight line at a constant speed or at rest. Equilibrium does not mean the absence of forces, but the balance of forces.

When an object is moving to the right in translational equilibrium, it means it is in a state of steady motion, either at rest or moving at a constant velocity, with no acceleration. This equilibrium occurs when the sum of all the forces acting on the object is zero, indicating the forces are balanced. If we consider three forces acting on the object: F1, F2, and F3, for it to be in translational equilibrium, the vector sum of the three forces must be zero. This can be represented mathematically as: F1 + F2 + F3 = 0. If any of the forces change its magnitude or direction, it would disrupt the equilibrium status.

Translational equilibrium stands for a body moving in a straight line at a constant speed or being at rest, while rotational equilibrium refers to objects rotating at a constant rotation or being steady.

An important point to remember is that an equilibrium state does not necessarily mean the absence of forces but signifies that forces are equally balanced.

https://brainly.com/question/31976121

#SPJ3

Answer: 2352 J

Explanation:

A body's gravitational potential energy [tex]U[/tex] depends on its position and is mathematically expressed as follows:

[tex]U=mgh[/tex]

Where:

[tex]m=60 kg[/tex] is the mass of the skater

[tex]g=9.8 m/s^{2}[/tex] is the acceleration due gravity

[tex]h=4 m[/tex] is the skater's current height

Solving:

[tex]U=(60 kg)(9.8 m/s^{2})(4 m)[/tex]

[tex]U=2352 J[/tex]

Answer: C. Mass divided by volume

Explanation:

The slope of a line is equal to the rise over run meaning y over x. Mass is the y value and volume is the x value.

Answer:

A. 22 [tex]ms^{-1}[/tex]

B. NO

Explanation:

A.

During a collision , the net external force on the system is zero .

hence , the total momentum of the system can be CONSERVED .

let the mass of frosty and snowflake be m ;

therefore from principle of conservation of momentum ,

[tex]m*v_{F_{i} } +  m*v_{S_{i} } = m*v_{F_{f} } +  m*v_{S_{f} }[/tex]

so ,

[tex]m*25 + m*10 =m*13 +m*x[/tex]

[tex]x = 25+10-13 = 22 ms^{-1}[/tex]

answer for A. 22 [tex]ms^{-1}[/tex]

B.

The collision is NOT ELASTIC.

this is because if it had been elastic , the coefficient of restitution should have been 1 but it isnot i.e

[tex]e =\frac{ v_{F_{f} } - v_{S_{f} } }{ v_{S_{i} } - v_{F_{i} } } \\=\frac{13-22}{10-25} \\=\frac{9}{15} = \frac{3}{5} = 0.6[/tex] ≠ 1

thus it's an inelastic collision.

Answer:

The distance of the student from the center of the merry-go-round is, r = 1.74 m

Explanation:

Given,

The acceleration of the student in merry go round, a = 3.6 m/s²

The tangential velocity of the student is, v = 2.5 m/s

The acceleration of the merry go round is given by the formula,

                                a = v² / r

Therefore,

                                 r = v² / a

                                    = 2.5² / 3.6      

                                    = 1.74 m

Hence, the distance of the student from the center of the merry-go-round is, r = 1.74 m

In order to have a verified or reliable answer to this question, they should take the watch apart and test the mechanism to see what causes failure.

Answer: Option D

Explanation:

For dropping a similar watch to record results, we need to buy another one. So, it becomes expensive. And, calling the manufacturer will give accurate results, but no knowledge. It is like getting multiple choices by luck.

Consulting senior faculty won’t result in any progress, because they may not have conducted these. So, one should rip off the watch, and study the mechanism, and its limitations.  The testing of mechanism gives the actual results.

Answer: B) Drop a similar watch multiple times and record the results.

Explanation:

In order to have a verified or reliable answer to this question, investigators must drop a similar watch multiple times and record the results. By doing this and repeatedly getting the same result(s), they are able to determine that their answer is in fact true.

*** I would also like to note that I got this question right on a test. Cheers!

The average force on the ball is 287.3 N.

Explanation:

The impulse exerted on an object, which is equal to the product between the force exerted and the duration of the collision, is equal to the change in momentum of the object.

If we apply this to the ball, we can write:

[tex]F \Delta t = m(v-u)[/tex]

where

F is the force exerted on the ball

[tex]\Delta t = 0.045 s[/tex] is the duration of the collision

m = 513 g = 0.513 kg is the mass of the ball

u = 12.1 m/s is the initial velocity of the ball

v = -13.1 m/s is the final velocity (negative since the ball rebounds in the opposite direction)

And solving for F, we find:

[tex]F=\frac{m(v-u)}{\Delta t}=\frac{(0.513)(-13.1-12.1)}{0.045}=-287.3 N[/tex]

So, the magnitude of the average force is 287.3 N.

Learn more about impulse and change in momentum:

brainly.com/question/9484203

#LearnwithBrainly

Answer:

first option

Explanation:

we know the total amount of charges should be constant so

3 + (-3) + 5 + (-3) = 2

1 + 1 = 2 true

6 + 8 = 14 false

2 + (-2) = 0 false

5 + 3 = 8 false

Object A: +1 Object B: +1 indicates a possible net charge for each object.

The problem can be solved by following steps.

Let us , calculate the total charge

3+(-3)+5-3

=2

Hence, the net charge of Object A will be +1 and the net charge of Object B will be +1

Object A: +8 Object B: +6 is incorrect because the net charge is 8+6 =14

Object A: –2 Object B: +2 is incorrect because the net charge is -2+2=0

Object A: +5 Object B: +3  is incorrect because the net charge is 5+3=8

Learn more about the Charge here

https://brainly.com/question/25923373

#SPJ2

Answer:True

Explanation:

Answer:true

Explanation:because the glass material is template and the wood is natural for SAE convention and normalitation have in chard that glass is more resistive than the wood

Since Amaya ran around a 1 mile track 3 times we can multiply this to find the total distance she traveled (displacement).

3 x 1 = 3 miles traveled.

-----------

Formula: [tex]V_a_v_g~=~\frac{displacement}{change~in~time}[/tex]

-----------

In this question the variables are classified as:

Displacement = 3 miles

Change in Time = 45 minutes

-----------

Now, fill in the expression to solve.

[tex]V_a_v_g~=~\frac{45}{3}\\V_a_v_g~=~15~[/tex]

-----------

Amayas average velocity is 15 minutes per mile.

______

Best Regards,

Wolfyy :)

Average Velocity = (displacement) / (time)

Displacement = distance and direction between the start-point and end-point, no matter what happens in between.

Amaya ran around the track, so she ended in the same place she started. The distance between her start-point and end-point was zero.  So . . .

Average Velocity = zero.

= = = = = = = = = =

Average Speed = (distance covered) / (time to cover the distance)

Amaya's distance = (1 mile/track) x (3 tracks) = 3 miles

Time to cover the distance = (3/4 hour)

Average speed = (3 miles) / (3/4 hour)

Average speed = (3 ÷ 3/4) mi/hr

Average speed = (3 x 4/3) mi/hr

Average speed = 4 miles per hour

The gravitational force between the two objects A) It increases.

Explanation:

The gravitational force between two objects is given by:

[tex]F=G\frac{m_1 m_2}{r^2}[/tex] (1)

where

G is the gravitational constant

[tex]m_1, m_2[/tex] are the masses of the two objects

r is the separation between the objects

In this problem, object A and object B are initially at a distance of

r = 100 m

And at that distance, the force between them is

F

Later, object A gains some mass. We notice from eq.(1) that the gravitational force is directly proportional to the mass: therefore, if the mass of either of the two objects increases, then the gravitational force between them also increases. Therefore, the new force will be larger than the original force:

F' > F

Learn more about gravitational force:

brainly.com/question/1724648

brainly.com/question/12785992

#LearnwithBrainly

Answer:

[tex]\text { The acceleration of the kid is } 7.18 \mathrm{m} / \mathrm{s}^{2}[/tex]

Explanation:

Mass of the kid 23.7 kg.

[tex]\text { The kid is accelerating down at an angle is } 47.2^{\circ} .[/tex]

[tex]^{\prime \prime} \mathrm{g}^{\prime \prime} \text { acceleration due to gravity is } 9.8 \mathrm{m} / \mathrm{s}^{2}[/tex]

We need to find the acceleration of the kid,

We know that, Parallel force acted on the kid at an angle is

F = m × g × sinθ (F = ma)

m × a = m × g × sinθ

Now, substitute the given values in the above formula to find acceleration of the kid,

[tex]23.7 \times a=23.7 \times 9.8 \times \sin 47.2^{\circ}[/tex]

23.7 × a = 232.26 × 0.733

23.7 × a = 170.24

[tex]a=\frac{170.24}{23.7}[/tex]

[tex]a=7.18 \mathrm{m} / \mathrm{s}^{2}[/tex]

[tex]\text { Therefore, acceleration of the kid is } 7.18 \mathrm{m} / \mathrm{s}^{2}[/tex]

Answer:

D

Explanation:

The reproduction parts of the plant are in the flower and around it so this would eliminate the plants ablity to reproduce.

Answer:

I think the answer is A) Power

Explanation:

Answer:

The answer A. Power

Explanation:

Answer:

240 cm³

Explanation:

Weight = Buoyancy

mg = ρVg

m = ρV

(0.9 g/cm³ × 2400 cm³) = (1 g/cm³) V

V = 2160 cm³

The submerged volume is 2160 cm³, so the volume above the surface is 240 cm³.

Question:

The two methods used for determining mass are: measuring directly on a scale measuring directly on a balance measuring directly by displacement of water calculated by measurements of w and g

Answer:

The two methods used for determining mass are measuring directly on a balance and measuring directly by displacement of water.

Explanation:

Mass is the actual content of the body, and when it is under some gravity, it becomes weight. But, mass cannot be calculated using any scale. It can be determined by using balance, as well as by a weight machine.

But, what is true here is that the mass of a body cannot be measured directly. It should be directly measured using water displacement. Because the displaced amount of water is equal to the volume of the objects.

The final momentum is 120 kg m/s

Explanation:

According to the impuls theorem, the impulse exerted on an object (the product of force applied and time interval) is equal to its change in momentum. Mathematically:

[tex]F \Delta t = \Delta p = p_f - p_i[/tex]

where

F is the average force on the object

[tex]\Delta t[/tex]  is the time interval during which the force is applied

[tex]p_f[/tex] is the final momentum

[tex]p_i[/tex] is the initial momentum

In this problem:

F = 30 N is the force applied

[tex]\Delta t = 4 s[/tex] is the time interval

[tex]p_i = 0[/tex] is the initial momentum, since the object starts from rest

Solving for [tex]p_f[/tex], we find the final momentum:

[tex]p_f = F\Delta t=(30)(4)=120 kg m/s[/tex]

Learn more about momentum:

brainly.com/question/9484203

#LearnwithBrainly

The frequency of the wave is 4 Hz

Explanation:

The relationship between wave, frequency and speed of a wave is given by the equation:

[tex]v=f \lambda[/tex]

where

v is the speed of the wave

f is the frequency

[tex]\lambda[/tex] is the wavelength

For the wave in this problem, we have:

[tex]v=60 cm/s[/tex] is the speed

[tex]\lambda=15 cm[/tex] is the wavelength

Solving the equation for f, we find its frequency:

[tex]f=\frac{v}{\lambda}=\frac{60 cm/s}{15 s}=4 s^{-1} = 4 Hz[/tex]

Learn more about waves and frequency:

brainly.com/question/5354733

brainly.com/question/9077368

#LearnwithBrainly

The angular acceleration is [tex]6.25 rad/s^2[/tex]

Explanation:

To solve this problem we can use the equivalent of Newton's second law for rotational motions:

[tex]\tau = I \alpha[/tex] (1)

where

[tex]\tau[/tex] is the torque acting on the body

I is the moment of inertia of the body

[tex]\alpha[/tex] is the angular acceleration

In this problem we have:

[tex]\tau = 450 Nm[/tex] is the torque

The moment of inertia of a solid cylinder about its axis is

[tex]I=\frac{1}{2}MR^2[/tex]

where

M = 100 kg is the mass

R = 1.2 m is the radius

Substituting,

[tex]I=\frac{1}{2}(100)(1.2)^2=72 kg m^2[/tex]

And solving eq.(1) for [tex]\alpha[/tex], we find the angular acceleration:

[tex]\alpha = \frac{\tau}{I}=\frac{450}{72}=6.25 rad/s^2[/tex]

Learn more about rotational motions:

brainly.com/question/9575487

brainly.com/question/9329700

brainly.com/question/2506028

#LearnwithBrainly

Answer:

The positively charged ions are called cations and negatively charged ions are called anions.

Explanation:

The magnitude of the friction force is 25 N

Explanation:

To solve this problem, we just have to analyze the forces acting on the block along the horizontal direction. We have:

According to Newton's second law, the net force acting on the block in the horizontal direction must be equal to the product between the mass of the block and its acceleration:

[tex]\sum F_x = ma_x[/tex]

where

m is the mass of the block

[tex]a_x[/tex] is the horizontal acceleration

However, the block is moving at constant speed, so the acceleration is zero:

[tex]a_x = 0[/tex]

So the equation becomes

[tex]\sum F_x = 0[/tex] (1)

The net force here is given by

[tex]\sum F_x = F cos \theta - F_f[/tex] (2)

And so, by combining (1) and (2), we find the magnitude of the friction force:

[tex]F cos \theta - F_f = 0\\F_f = F cos \theta = (50)(cos 60^{\circ})=25 N[/tex]

Learn more about  force of friction:

brainly.com/question/6217246

brainly.com/question/5884009

brainly.com/question/3017271

brainly.com/question/2235246

#LearnwithBrainly

Answer:

A windmill. Windmills are used to harness the wind through the motion of the windmills wheels spinning. Usually, windmills are used to grind grain or pump water but now with a more modern version called the wind turbine, we can use the wind to generate energy.

Explanation:

this is one example you could use remember to change it up! :)

Three examples of machines that humans have designed are the lever, pulley, and wheel and axle. They all take advantage of mechanical advantage to reduce the input force needed by spreading the force over a greater distance.

The first machine we can consider is the lever. A lever is a simple machine that provides a mechanical advantage by increasing the distance over which an input force is applied, hence, reducing the input force needed to accomplish the same amount of work. Consider a seesaw; when one side is pushed down with a certain force, the other side goes up.

Another machine is the pulley. It reduces the effort required to lift an object by spreading the work over a longer length of rope. For example, a pulley system used in construction cranes makes it easier to lift heavy loads.

The third machine is the wheel and axle. It gives a mechanical advantage by allowing the user to exert force over a greater distance. An example of this is the use of wheel and axles in bicycles; pedaling covers a long distance but requires less force.

https://brainly.com/question/16617083

#SPJ3

Answer:

wind

Explanation:

A steeper incline plane will require more force to move an object up. This is because the component of the gravitational force acting parallel to the incline increases with the steepness, necessitating a greater force to oppose it. The force required to move objects up an incline plane, therefore, increases with the steepness of the incline.

When analyzing an object at rest on an inclined plane, the force of gravity acting on the object is divided into two crucial components - a force acting perpendicular to the plane and a force acting parallel to the plane. The perpendicular force of weight is typically equal in magnitude, but opposite in direction to the normal force. However, the force that impacts the effort needed to move an object up an incline directly is the component of force acting parallel to the plane.

As the slope of an incline plane gets steeper, this parallel component of the gravitational force increases, and it requires more force to oppose this component and move the object up the incline. Therefore, a steeper incline plane will require more force to move an object up.

In simpler terms, think of it as pushing a cart up a steep hill versus a gentle slope - the steeper hill requires more effort, or force, to push the cart up.

https://brainly.com/question/8693924

#SPJ2

The volume of the balloon will halve

Explanation:

Boyle's law states that for an ideal gas kept at constant temperature, the pressure of the gas is proportional to its volume. Mathematically,

[tex]pV=const.[/tex]

where

p is the gas pressure

V is the volume

The equation can also be rewritten as

[tex]p_1 V_1 = p_2 V_2[/tex]

And if we apply it to the gas inside the balloon in this problem (assuming its temperature is constant), we have:

[tex]p_1 = 101 kPa[/tex] is the initial pressure at sea level (the atmospheric pressure)

[tex]V_1[/tex] is the initial volume

[tex]p_2 = 202 kPa[/tex] is the final pressure

[tex]V_2[/tex] is the final volume

Substituting into the equation, we find:

[tex]V_2 = \frac{p_1 V_1}{p_2}=\frac{(101)V_1}{202}=\frac{V_1}{2}[/tex]

Which means that the volume of the balloon will halve.

Learn more about ideal gases:

brainly.com/question/9321544

brainly.com/question/7316997

brainly.com/question/3658563

#LearnwithBrainly

Answer:

A

Explanation:

because u are subtracting if this is from flvs that is what i did and it was right

Answer:

A 0.89m

Explanation:

V= fλ

λ= V/f

λ=346/358

λ=0.89m

The period of oscillation of the system is 12.56 s

Explanation:

The period of oscillation of a spring-mass system is given by

[tex]T=2\pi \sqrt{\frac{m}{k}}[/tex]

where

m is the mass attached to the spring

k is the spring constant

For the system in this problem, we have

m = 40 kg

k = 10 N/m

Substituting into the equation, we find

[tex]T=2\pi \sqrt{\frac{40}{10}}=12.56 s[/tex]

#LearnwithBrainly

Voltage differences create an electric field that pushes free charges through a conductor, resulting in an electric current. This occurrence is explained by Ohm's Law, which states that current is directly proportional to the voltage applied to a conductor. Conventional current flows from the positive to the negative terminal although electrons, the actual charge carriers in metals, move in the opposite direction.

Voltage differences are what drive an electric current in a conductor. When a voltage source such as a battery or a generator is connected to a conductor, it applies a potential difference that creates an electric field. This electric field exerts a force on free charges, causing them to move and create an electric current. In a material like a metal wire, the current is carried by the movement of electrons, which are negative charges moving from the negative terminal to the positive terminal. When discussing current flow, we often refer to the term "conventional current," which flows from the positive terminal to the negative terminal, even though the actual charge carriers (electrons) move in the opposite direction. This stems from historical convention initiated by Benjamin Franklin.

According to Ohm's Law, the current that flows through a substance is directly proportional to the voltage applied to it, which means that a higher voltage will generally result in a larger current, assuming the resistance of the material does not change. If charges accumulate at certain points, reducing the voltage there, the electric field will adjust to push the current toward areas with higher voltage. In static conditions, excess charges collect along the surface of a conductor until static equilibrium is reached.

Answer:

Magnitude 17.85 cm

Angle: 69.36 degrees

Explanation:

Analytical sum of vectors

We have the vector 1 with magnitude 12 cm and angle 45 degrees. We'll find its cartesian components by using

[tex]v1_x=12cos45^o=8.49\ cm[/tex]

[tex]v1_y=12sin45^o=8.49\ cm[/tex]

Now we find the components of v2

[tex]v2_x=8.5cos105^o=-2.2\ cm[/tex]

[tex]v2_y=8.5sin105^o=8.21\ cm[/tex]

To add both vectors, we add their components separately

[tex]\vec{v3}=\vec{v2}+\vec{v1}[/tex]

[tex]v3_x=v1_x+v2_x=8.49\ cm-2.2\ cm=6.29\ cm[/tex]

[tex]v3_y=v1_y+v2_y=8.49\ cm+8.21\ cm=16.7\ cm[/tex]

Magnitude of [tex]\vec{v3}[/tex]:

[tex]\left \| \vec{v3} \right \|=\sqrt{v3_x^2+v3_y^2}[/tex]

[tex]\left \| \vec{v3} \right \|=\sqrt{(6.29)^2+(16.7)^2}[/tex]

[tex]\left \| \vec{v3} \right \|=17.85\ cm[/tex]

Angle of [tex]\vec{v3}[/tex]:

[tex]\theta_3=atan\left ( \frac{16.7}{6.29} \right )=69.36^o[/tex]

Answer: A resultant vector

Explanation: Addition of two vectors can not be a scalar because vectors have a magnitude and a direction. so that they are explained by means of these two chacteristics. If addition is different from zero it will give a vector.