By 2020, experts project that _____ of children at 30 years of age will still have living grandparents. 60% 40% 20% 80%. 80%.

a) It is the error present in the measuring instrument that causes it to register a value even when there is no input or output being measured.

b) An example of when you would have to allow for zero error is when using a measuring instrument like a vernier caliper or micrometer screw gauge.

a) Zero error refers to the deviation or discrepancy in the measurement instrument, where the indication or reading on the instrument is not zero when the quantity being measured is zero. In other words, it is the error present in the measuring instrument that causes it to register a value even when there is no input or output being measured.

Zero error can occur due to various reasons such as manufacturing defects, wear and tear, misalignment, or improper calibration of the instrument. It can be positive or negative, depending on whether the instrument reads higher or lower than the actual value.

b) An example of when you would have to allow for zero error is when using a measuring instrument like a vernier caliper or micrometer screw gauge. These instruments are commonly used to measure the dimensions of objects with high precision.

In a vernier caliper, for instance, zero error can occur when the jaws do not close perfectly when there is no object being measured. If the caliper shows a reading other than zero when the jaws are closed, it indicates the presence of zero error.

To obtain accurate measurements, the zero error needs to be accounted for and compensated. This can be done by adjusting the position of the zero on the scale or by subtracting the zero error value from the measured readings.

For more such questions on measuring instrument visit:

https://brainly.com/question/30454346

#SPJ11

Answer:

er so ue 0.984 kg study your self brhh

Answer:

An air mass acquires these characteristics above an area of land or water known as its source region. When the air mass sits over a region

Answer:

Explanation:

Provided the planks are each strong enough to support the weight of the rock, the 8 ft plank will have a greater mechanical advantage.

The ideal (no friction) mechanical advantage for each ramp is

ME₈ = 8/3 = 2.67

ME₅ = 5/3 = 1.67

The stage of sleep which is marked by long slow delta brain waves is stage 4 and is therefore denoted as option B.

This is referred to as a sedentary state of mind and body and it is characterized by altered consciousness, reduced muscle activity and reduced interactions with surroundings.

In the deepest level of sleep, stage IV sleep it has been observed that it consists of low frequency and high-amplitude fluctuations called delta waves and the sequence from drowsiness to deep stage IV sleep usually takes about an hour thereby making it the correct choice.

Read more about Sleep here https://brainly.com/question/4119396

#SPJ1

The Kinetic energy possessed by the cycle with a mass of 100 kg and velocity 40 m/s is 80 kJ.

Kinetic energy is the energy of an object when the object is in motion. It is obtained by the product of the mass of the object and the velocity of the object. The unit of kinetic energy is the joule (J).

From the given,

mass of the motorcycle (m) = 100 kg

velocity (v) = 40 m/s

K.E =?

K.E = (mv²) / 2

     = (100×40×40) / 2

    = 160,000 / 2

   = 80,000 J

Thus, the kinetic energy of the motorcycle is 80kJ.

To learn more about Kinetic energy :

https://brainly.com/question/999862

#SPJ1

Answer:

It accelerate but will not spin.

Explanation:

If an irregular shaped object is dropped from rest without feeling any form of air resistance it will accelerate without spinning and this is due to the fact that there is no Torque around  the center of gravity

Answer:

150   kg-m/s

Explanation:

momentum = m * v

50 * 3 = 150

The value of the force, F₀, at equilibrium is equal to the horizontal

component of the tension in string 2.

Response:

Given:

The weight of the rod = The sum of the vertical forces in the strings

Therefore;

M·g = T₂·cos(37°) + T₁

The weight of the rod is at the middle.

Taking moment about point (2) gives;

M·g × L = T₁ × 2·L

Therefore;

\(T_1 = \mathbf{\dfrac{M \cdot g}{2}}\)

Which gives;

\(M \cdot g = \mathbf{T_2 \cdot cos(37 ^{\circ})+ \dfrac{M \cdot g}{2}}\)

\(T_2 = \dfrac{M \cdot g - \dfrac{M \cdot g}{2}}{cos(37 ^{\circ})} = \mathbf{\dfrac{M \cdot g}{2 \cdot cos(37 ^{\circ})}}}\)

F₀ = T₂·sin(37°)

Which gives;

\(F_0 = \dfrac{M \cdot g \cdot sin(37 ^{\circ})}{2 \cdot cos(37 ^{\circ})}} = \dfrac{M \cdot g \cdot tan(37 ^{\circ})}{2} \approx \mathbf{0.377 \cdot M \cdot g}\)

Learn more about equilibrium of forces here:

https://brainly.com/question/6995192

Answer:

pictures please

Explanation:

I need a picture so I can tell you

Answer:

(a)\(-0.75\mu\) Coulomb

(b) \(3.1 \mu\) Coulomb

Explanation:

Let \(q_1\) be the positive charge, in Coulumb, on the one sphere and \(q_2\) be the negative charge, in Coulumb, on the other sphere, where \(q_{1} > q_2\).

The center-to-center distance between the spheres is,

\(d=48.5 cm=0.485 m\).

From Coulomb's law, the magnitude of the force, \(F\), between two point charges having magnitudes \(q_1 \& q_2\), separated by distance,\(d\), is

\(F=\frac {1}{4\pi\epsilon_0}\frac{q_1q_2}{d^2}\;\cdots(i)\)

where, \(\epsilon_0\) is the permittivity of free space and

\(\frac {1}{4\pi\epsilon_0}=9\times 10^9\) in SI units.

So, using equation (i), the attractive force between both the spheres is

\(9\times 10^9\frac{q_1q_2}{(0.485)^2}=0.09\)

\(\Rightarrow q_1q_2=2.35225\times 10^{-12}\)

\(\Rightarrow q_1q_2= 2.35225 \mu^2\) [as \(\mu=10^{-6\)]

\(\Rightarrow q_2=\frac{\mu^2 2.35225}{q_1}\;\cdots (ii)\)

When both the sphere is connected by a thin conducting wire, then redistribution of charge take place and net charge , on combining both the spheres, is \(q_1-q_2\) ( as \(q_1>q_2\)).

Finally, the charge density on both the sphere will be the same.

Given that, both the sphere are identical, so, the quantity of charges on of charged on both the conducting spheres, after removing the conduction wire, will be the same.

So, the net charge on the individual sphere is

\(\frac {q_1-q_2}{2}\) which is positive in nature.

From equation (i), the repulsive force between the spheres is

\(9\times 10^9\times \frac{(q_1-q_2)(q_1-q_2)}{4\times 0.485^2}=0.0528\)

\(\Rightarrow (q_1-q_2)^2=5.52\mu^2\) [ as \(\mu=10^{-6}\)]

\(\Rightarrow q_1-q_2=2.35\mu\;\cdots(iii)\)

\(\Rightarrow q_1 - \frac{\mu^2 2.35225}{q_1}= 2.35\mu\) [using equation (ii)]

\(\Rightarrow q_1^2- 2.35\mu q_1- 2.35225\mu^2=0\)

\(\Rightarrow q_1=3.1 \mu\) or \(-0.76 \mu\)

Taking positive sign as \(q_1\) is the magnitude of charge.

So, for \(q1=3.1 \mu\)

\(q_2=3.1- \mu- 2.35\mu=0.75 \mu\) [from equation (iii)]

Hence,

(a) Negative charge on one of the spheres is,

\(q_2=-0.75 \mu\) Coulomb.

(b) Positive charge on the other sphere is,

\(q_1=3.1 \mu\) Coulomb.

If the block's mass is m, block's initial velocity is v and the spring constant is k, the maximum compression in the spring is  sqrt(mv² /k)

Applying the law of conservation of energy, since it is a frictionless surface, all the kinetic energy of the block will be converted to the potential energy of the spring.

The kinetic energy of the block:

Ek = 1/2 . mv²

Where:

m = mass of block

v = block's initial velocity

The potential energy of the spring:

Ep = 1/2 . kx²

Where:

k = spring constant

x = maximum compression in the spring

It holds:

Ek = Ep

1/2 . mv² =  1/2 . kx²

x = sqrt(mv² /k)

Hence, the maximum compression in the spring is sqrt(mv² /k)

Learn more about spring's energy here:

https://brainly.com/question/19024537

#SPJ4

The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:

τ = r * F * sin(θ)

where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.

In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.

Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:

τ_M = r_M * F_M * sin(θ)

where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.

Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:

τ_M = τ_stick

r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)

Substituting the given values:

30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)

Solving for F_M:

F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)

F_M = 0.0264 kg * 9.8 m/s^2

F_M = 0.25872 N

Finally, we can convert the force into mass using the formula:

F = m * g

0.25872 N = M * 9.8 m/s^2

M = 0.0264 kg

Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.

For more such questions on equilibrium, click on:

https://brainly.com/question/517289

#SPJ8

Answer:

C- An explanation for why matter cannot be created or destroyed

Explanation:

Answer: A. A statement that matter cannot be created or destroyed.

Explanation:

Apex

The magnitude of the motor shaft's rotational velocity is used to describe a motor's speed.

The motor velocity of the supporting cable exists 18 ft/s.

A motor's speed is defined as the magnitude of the motor shaft's rotational velocity. The number of full rotations per unit of time for an axis rotation in a motion application depends on the motor's speed.

When given 11.1 V and a motor with a velocity constant and back EMF constant of 5,700 rpm/V, the motor will spin at a nominal speed of 63,270 rpm (= 5,700 rpm/V 11.1 V). The non-linear mechanical losses may prevent the motor from operating at this theoretical speed.

Motor velocity = Number of vertical strings × upward velocity

substitute the values in the above equation, we get

18 fp/s = 3 × 6

3 × 6 = 18 fp/s.

The motor velocity of the supporting cable exists 18 ft/s.

Therefore, the correct answer is option [D]. VP/H = 18 ft/s.

The complete question is:

If the hoist H is moving upward at 6 ft/s, determine the speed at which the motor M must draw in the supporting cable.

[A]. VP/H = 6 ft/s

[B]. VP/H = 2 ft/s

[C]. VP/H = 12 ft/s

[D]. VP/H = 18 ft/s

To learn more about Motor velocity refer to:

https://brainly.com/question/23717467

#SPJ4

Answer:

D = 4.47d

Explanation:

given that

1/R(eq) = 20/R

R(eq) = R/20

also, we know that the formula for resistance is given by the relation

R = pl/A, where A is πd²/4

If we substitute the value of A, we have

R = pl/(πd²/4)

R = 4pl/πd²

Now, we substitute this in the earlier derived equation

R(eq) = (4pl/πd²) / 20

R(eq) = pl/5πd²

To find the resistance of a single wire made of the same material, the resistance is

R(D) = 4pl / πD²

R(eq) = R(D), and thus

pl/5πd² = 4pl/πD²

1/5d² = 4/D²

D² = 20d²

D = √20d²

D = 4.47 d

Hi there!

Begin by solving for the time it takes the frog to reach the top of its trajectory. (Vertical velocity = 0 m/s)

\(\large\boxed{v_f = v_i + at}\)

vf = final velocity (0 m/s)

vi = initial velocity (3.7 m/s)

a = acceleration due to gravity (9.8 m/s²)

t = time (s)

Plug in the known values:

\(0 = 3.7 - 9.8t\\\\-3.7/(-9.8) = t = 0.378 s\)

Now, we can use the following kinematic equation:

\(\large\boxed{d = v_it + \frac{1}{2}at^2}\)

d = displacement (m)

vi = initial velocity (3.7 m/s)

a = acceleration (9.8 m/s²)

t = time (0.378 sec)

Plug in the given values:

\(d = 3.7(0.378) - \frac{1}{2}(9.8)(0.378)^2 = \boxed{0.698 \approx 0.7m}\)

The distance between two objects of radius 6 cm and 2 cm is zero

To find the distance between two objects with radii of 6 cm and 2 cm, we need to consider the center-to-center distance between the objects and subtract the sum of their radii.

Let's denote the radii of the objects as r1 = 6 cm and r2 = 2 cm.

The distance between the centers of the objects can be represented as d = r1 + r2. Adding the radii ensures that we account for the space occupied by both objects.

Substituting the values, we have d = 6 cm + 2 cm = 8 cm.

Now, to find the actual distance between the objects, we subtract the sum of their radii from the center-to-center distance:

Distance = d - (r1 + r2) = 8 cm - (6 cm + 2 cm) = 8 cm - 8 cm = 0 cm.

The resulting distance is 0 cm, indicating that the objects are in direct contact with each other. This means that their surfaces are touching. When the distance between two objects is zero, it implies that they are overlapping or in physical contact. In this case, since the distance is equal to 0 cm, the two objects are touching each other, with their surfaces coming into contact.

Know more about distance here:

https://brainly.com/question/26550516

#SPJ8

Answer:

There no image

Explanation:

Answer:

50km/h

Explanation:

Average velocity = change in distance (or distance travelled) divided by/ the change in time (or time taken.)

The change in distance has been given as 100km.

The change in time is 3pm-1pm = 2 hours.

Therefore the average velocity was 100/2 = 50km/h (to the east).

Hope this helped!

Answer:

Please find the attached file for the figure.

Explanation:

Given that a bicyclist speeds along a road at 10 m/s for 6 seconds.

Its acceleration = 10/6 = 1.667 m/s^2

The distance covered = 1/2 × 10 × 6

Distance covered = 30 m

That is, displacement = 30 m

Then she stops for three seconds to make a 180˚ turn and then travels at 5 m/s for 3 seconds.

The acceleration = 5/3 = 1.667 m/s^2

The displacement = 1/2 × 5 × 3

Displacement = 7.5 m

The resultant acceleration will be equal to zero.

While the resultant displacement will be:

Displacement = 30 - 7.5 = 22.5 m

Please find the attached file for the sketch.

Answers:

a) PE = 1500 J

b) PE = 240 J

Explanation:

The potential energy is calculated as follows

PE = mgh

Where m is the mass, g is the gravity and h is the height.

Now, we can calculate the potential energy in Earth replacing g = 10 m/s², m = 30 kg and h = 5 m, so

PE = (30 kg)(10 m/s²)(5m)

PE = 1500 J

In the same way, the potential energy in the moon with g = 1.6 m/s² is equal to

PE = (30 kg)(1.6 m/s²)(5 m)

PE = 240 J

Therefore, the answers are

a) PE = 1500 J

b) PE = 240 J

Answer:It is a combination reaction; nitrogen and hydrogen combine to form ammonia

Explanation:

This is the reaction that is used to make ammonia from hydrogen and nitrogen. In this reaction, only one product is formed. Therefore, this reaction is known as a combination reaction.

The amount of force applied to the 7kg object that caused it to accelerate at 8m/s² is 56 newtons.

A force is simply a push or a pull of an object resulting from the object's interaction with another object.

From newton's second law;

Force = mass × acceleration

Given the data in the question;

Plug the given values into the formula to determine the applied force.

Force = mass × acceleration

Force = 7kg × 8m/s²

Force = 56kgm/s²

Force = 56 N

Therefore, the applied force is 56 newtons.

Learn more about force here: brainly.com/question/27196358

#SPJ1

Answer:

"the ratio of increase in the volume of a solid per degree rise of temperature to its initial volume" -web

Explanation:

tbh up above ✅

Answer:

cubic meter

Explanation:

Increase in volume of a body on heating is referred to as volumetric expansion or cubical expansion

Answer:

D.   Satin Cloth

Explanation:

i thought it said glass, not grass lol

satin it the smoothest surface and therefore the least amount of friction.

The tangential speed of the tip of the hour hand is 4.05 cm/minute.

What is Tangential speed?

Tangential speed, also known as linear speed, is the speed at which an object travels along a circular path. It is defined as the distance traveled per unit of time along an arc or circular path, with the direction of motion tangential to the circle. Tangential speed is dependent on the radius of the circular path and the angular speed, which is the rate at which the object rotates around the center of the circle.

The tangential speed of the tip of the hand is given by:

v = rω

where r is the length of the hour hand and ω is the angular velocity of the hand.

To find ω, we need to convert the time elapsed to an angle. The hour hand completes one revolution (360 degrees) in 12 hours, or 720 minutes. Therefore, the angle swept out by the hour hand in one minute is:

θ = 360 degrees / 720 minutes = 0.5 degrees/minute

At any given time, the angle swept out by the hour hand is proportional to the elapsed time since the last hour mark. If t is the time elapsed in minutes since the last hour mark, then the angle swept out is:

θ = 0.5 degrees/minute * t

Since the hour hand is 8.1 cm long, its tangential speed is:

v = rω = r(dθ/dt)

Substituting for θ, we get:

v = 8.1 cm * (0.5 degrees/minute) = 4.05 cm/minute

Learn more about Tangential speed from given link

https://brainly.com/question/31029918

#SPJ1

If the vector below is multiplied by 2, option D will be its end point

If a vector is multiplied by 2, its end point will be scaled up by a factor of 2. So, if the original vector has end point (x,y), its end point after being multiplied by 2 will be (2x, 2y).

Given the vector below, its end point is (1,1):

^

|

|

|

|

---+--->

After being multiplied by 2, the end point of the vector will be (2 * 1, 2 * 1) = (2, 2), which corresponds to answer choice (D).

learn more about vector: https://brainly.com/question/25705666

#SPJ1

Answer:

Explanation:

Mass ( m ) = 2 kg

Speed of the object (v) = 6 metre per second

Kinetic energy =?

Now,

We have,

Kinetic Energy = \( \frac{1}{2} \times m \times {v}^{2} \)

Plugging the values,

\( = \frac{1}{2} \times 2 \times {(6)}^{2} \)

Reduce the numbers with Greatest Common Factor 2

\( = {(6)}^{2} \)

Calculate

\( = 36 \: joule\)

Hope this helps...

Good luck on your assignment...

The Kinetic energy of the object will be "36 joules".

The excess energy of moving can be observed as that of the movement of an object, component, as well as the group of components. There would never be a negative (-) amount of kinetic energy.

According to the question,

Mass of object, m = 2 kg

Speed of object, v = 6 m/s

As we know the formula,

→ Kinetic energy (K.E),

= \(\frac{1}{2}\) × m × v²

By substituting the values, we get

= \(\frac{1}{2}\) × 2 × (6)²

=  \(\frac{1}{2}\) × 2 × 36

= 36 joule

Thus the above answer is appropriate.

Find out more information about Kinetic energy here:

https://brainly.com/question/25959744