You find a micrometer (a tool used to

measure objects to the nearest 0.001 mm) that has

been badly bent. How would it compare to a new,

high-quality meterstick in terms of its precision? Its

accuracy?

Answer:

The answer is below

Explanation:

A cross-country skier moves 28 meters westward, then 62 meters eastward, and finally 54 meters westward.

For this motion, what is the distance moved?

What is the magnitude and direction of the displacement?

Answer:

a) The distance moved is the summation of all the distance, therefore:

Distance = Distance first moved westward + Distance moved eastward + Final distance moved westward = 28 m + 62 m + 54 m = 144 m

Distance = 144 m

b) Displacement is a vector quantity (has magnitude and direction). The displacement is the shortest distance from the starting to final point.

Total distance westward = 28 m + 54 m = 82 m

Total distance eastward = 62 m

Displacement =  Total distance westward  - Total distance eastward = 82 m - 62 m = 20 m

Displacement = 20 m westward

The displacement has a magnitude of 20 m and the direction is westward

Answer:

45km/hr

Explanation:

Total distance=450km

Total speed=50km/hr

Total time= distance/speed

=450/50

=9hrs

distance a=180km

speed a=60km/hr

Time a=180/60

=3hrs

Distance b=450-180=270km

Speed b=?

Time b=270/speed b

Total time=time a + time b

9=3+(270/speed b)

270/speed b =9-3

270/speed b =6

6*speed b =270

Speed b=270/6

Speed b=45km/hr

Answer:

45km/hr

Explanation:

Total distance=450km

Total speed=50km/hr

Total time= distance/speed

=450/50

=9hrs

distance a=180km

speed a=60km/hr

Time a=180/60

=3hrs

Distance b=450-180=270km

Speed b=?

Time b=270/speed b

Total time=time a + time b

9=3+(270/speed b)

270/speed b =9-3

270/speed b =6

6*speed b =270

Speed b=270/6

Speed b=45km/hr

Answer:

The  force is  [tex]F = 3587.2 \ N[/tex]

Explanation:

From the question we are told that

   The  diameter is  [tex]d = 1.4 \ mm = 0.0014 \ m[/tex]

    The pressure is  [tex]P = 2.33*10^{9} \ N/m^2[/tex]

Generally the radius is mathematically represented as

        [tex]r = \frac{0.0014}{2}[/tex]

        [tex]r = 0.0007 \ m[/tex]

 The  cross-sectional area of the nail is mathematically represented as

       [tex]A = \pi r^2[/tex]

=>     [tex]A = 3.142 * 0.0007 ^2[/tex]

=>    [tex]A = 1.54 *10^{-6}[/tex]

Generally the pressure is mathematically represented as

        [tex]P = \frac{F}{A}[/tex]

=>      [tex]F = P * A[/tex]

=>       [tex]F = 1.54*10^{-6} * 2.33*10^{9}[/tex]

=>      [tex]F = 3587.2 \ N[/tex]

Answer:

20.96 m/s

Explanation:

Apply the kinematic equation:

Vf=Vi+at

Vi=8m/s

a=1.8m/s^2

t=7.2s

Putting this all in should give you your answer of 12.96m/s

Answer:

Actually it is linear motion but here option is not given so the best option is translators motion.

Explanation:

Hope it will help you :)

Answer:

d rotatory motion

Explanation:

Answer:

The magnitude of the electric field at the center of curvature of the arc is 3.87 N/C

Explanation:

Please see the attachments below

Answer:

The right approach will be Option C "Group 12".

Explanation:

Some other options in question are not relevant to something like the given scenario. Because then the option here is just the right one.

Answer:

option C group 12

Explanation:

i did the test

Answer:

[tex]1g = 1000mg \\ \: \: \: \: \: \: \: \: = 0.001kg[/tex]

Explanation is attached to the picture

hope this helps

brainliest plz

Answer:

The total speed is 5.3 m/s

Explanation:

The speed of river = 3.6 m/s

The speed of the tube that a boy use for downstream = 1.7 m/s

Now we have to find the total speed of the boy in the case of downstream. However, in this case, the total speed can be determined by adding both the given speeds.

The total speed = Speed of rive + speed of the tube

Total speed = 3.6 + 1.7

Total speed = 5.3 m/s

Explanation:

g = GM / R²

9.77 m/s² = GM / (6.38×10⁶ m + 8848 m)²

GM = 3.99×10¹⁴ m³/s²

At the surface of the earth:

g = GM / R²

g = (3.99×10¹⁴ m³/s²) / (6.38×10⁶ m)²

g = 9.80 m/s²

At the top of Mount Everest, the weight of a 50 kg object is:

F = mg

F = (50 kg) (9.77 m/s²)

F = 489 N

Gravity causes items to accelerate as they descend to the ground. Acceleration is a modification of velocity, and velocity is a measurement of the direction and speed of motion. Anything falls through gravity, and the longer it falls, the quicker it falls.

A particular term is given to the acceleration of a free-falling item because it is such a significant value. The acceleration of any object moving only as a result of gravity is referred to as the “acceleration of gravity.”

g = GM / R²

9.77 m/s² = GM / (6.38×10⁶ m + 8848 m)²

GM = 3.99×10¹⁴ m³/s²

At the surface of the earth:

g = GM / R²

g = (3.99×10¹⁴ m³/s²) / (6.38×10⁶ m)²

g = 9.80 m/s²

At the top of Mount Everest, the weight of a 50 kg object is:

F = mg

F = (50 kg) (9.77 m/s²)

F = 489 N

Therefore, 489 N is the weight of a body of mass 50 kg on the top of mt.everest.

Learn more about acceleration here:

https://brainly.com/question/12550364

#SPJ2

Answer:

b = - a - c + p

Explanation:

P= a+b+c : move the b over to the other side.

-b + p = a + c : move p over the other side.

-b = a + c - p : now just convert the a + c - p into,

b = -a - c + p

The required solution is b = -a - c + p for arithmetic equation p = a+b+c.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given that equation as

⇒ p = a+b+c

Rearrange the term b to the other side and solve for b

⇒ -b + p = a + c

Rearrange the term p to the other side

⇒ -b = a + c - p

Multiply by (-1) the equation, and we get

⇒ b = -a - c + p

Therefore, the required solution is b = -a - c + p.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ2

Answer:

The speed of the ball when it hits the ground is 102.1 m/s

Explanation:

Given;

initial velocity of ball, u = 25 m/s

distance traveled by the ball = height of the building = h = 500 m

when the ball hits the ground, the final velocity, v = ?

The final velocity of the ball is given by;

v² = u² + 2gh

where;

g is acceleration due to gravity = 9.8 m/s²

v² = (25)² + 2(9.8)(500)

v² = 10425

v = √10425

v = 102.1 m/s

Therefore, the speed of the ball when it hits the ground is 102.1 m/s

Answer:

2.481 mm

Explanation:

Given that

Distance between the slits, d = 0.275 mm = 2.75*10^-4 m

Wavelength of the lamp, λ = 546.1 nm

Distance between slit and the screen, L = 1.25 m

To solve this question, we would be applying the formula for Young's double slit fringes, from the path difference equal to a whole number of wavelengths.

mλ = dy/L

The question states that we should find the distance from the centre to the 1st order bright fringe, thus, m = 1

Now, we apply all these values into the question

1 * 546.1*10^-9 = (2.75*10^-4 * y) / 1.25

1.25 * 1 * 546.1*10^-9 = 2.75*10^-4 * y

6.825*10^-7 = 2.75*10^-4 * y

y = 6.825*10^-7 / 2.75*10^-4

y = 0.002481 m or 2.481 mm

Answer:

A. 50 m/s

Explanation:

Given in the y direction:

v₀ = 0 m/s

a = 10 m/s²

t = 4 s

Find: v

v = at + v₀

v = (10 m/s²) (4 s) + 0 m/s

v = 40 m/s

In the x direction, the velocity is constant at 30 m/s.

The overall speed is:

v² = (30 m/s)² + (40 m/s)²

v = 50 m/s

The answer:

A) 50 m/s

Answer:

An arrow represents displacement. Because it's a vector quantity.

Vector quantity= Direction+Magnitude

When an arrow is put above a unit like

it means that it's a vector quantity.

Hope this helps ;) ❤❤❤

Explanation:

KE = ½ mv²

KE = ½ (70 kg) (5.0 m/s)²

KE = 875 J

Answer:

223.2

Explanation:

126.3851 + 7.2 + 73.607 + 15.98 = 223.1721

When adding/subtracting, round to the fewest decimal places.  7.2 has 1 number after the decimal point, so we'll round our answer to 223.2.

[tex] \huge{ \underline{ \underline{ \purple{ \bf{Answer:}}}}}[/tex]

1) Well, we know that lens is made by using 2 concave or convex mirror or sometimes we also use one plane mirror. The spherical mirrors are part of the glass sphere, and hence they have a centre and corresponding radius.

2F is double of focal length when light passes from one surface to another of the lens, so it can be said as the centre of curvature of the one of those spherical lens.

2) Distance between the optical centre and the centre of curvature is a lens can be termed as the radius of curvature of the lens. Well, we don't generally use these in case of lens. But still, the distance between O and 2F is double of the focal length or radius of curvature.

━━━━━━━━━━━━━━━━━━━━

Answer:

15.13m

Explanation:

change 15m to cm

1m=100cm

15m times 100=1500cm

add 1500+13 = 1513cm

in metres it will be 15.13m

Multiple of a unit of measure are found by multiplying the unit by an unteger larger than one

The total distance the tortoise walked in meters is 15.13 m

Reason:

Known parameter are;

The distance west the tortoise travels = 15 meters

The further distance west the tortoise walks = 13 cm = 0.13 m

Required:

The total (distance) in meters she has walked

Solution:

The total distance the tortoise walked in meters = 15 m + 0.13 m = 15.13 m

Learn more about multiples of units of measurement here:

https://brainly.com/question/1643372

Answer:

t = 10.02 minutes

Explanation:

It is given that,

Speed of bus, v = 216 km/h

Distance to be traveled by the bus, d = 36 km

We need to find the time taken by the bus to cover the distance. Let the time is t.

Speed = distance/time

[tex]t=\dfrac{d}{v}\\\\t=\dfrac{36\ km}{216\ km/h}\\\\t=0.167\ h[/tex]

or

t = 10.02 minutes

So, 10.02 minutes is taken by the bus.

Answer:

Albert Einstein was from Germany he was born theoritical physicist, from childhood only he loved mechanical toys, he was highly gifted in Mathematics, He was a world citizen and a scientific genius too. His contribution were:

1) he developed the theory of relativity

2) he also discovered the process of nuclear fission

3)he developed the quantum theory of specific heat

4)theory of stimulated emission, on which laser device technology is based

5) law of photoelectric effect

hope it helped you :)

Answer:

Explanation:

λ = hc/¢

Where

h = the Plank constant 6.63 x 10-34 Is

C = 3.0×10^8

¢= 1.96eV

= (6.63×10^-34Js)×(3×10^8)÷( 1.96eV) × 1eV/1.6×10^-19J

= (1.989×10^-25)÷( 1.96eV)×1eV/1.6×10^-19J

= 6.342×10^-7m

B) maximum kinetic energy

= K=hf−ϕ ........1

ϕ = hc

Where

​ h = constant 6.63 x 10^-34Js

ϕ= 1.96eV

Recall

λ =425×10^-9m

f = frequency in Hz

f = c / λ

C = 3.0×10^8

f = 3.0×10^8 / 425×10^-9m

f = 0.000705Hz

From equation 1

K = (6.63 x 10^-34Js×0.000705Hz )- 6.63 x 10^-34Js×3.0×10^8

= 4.68×10^-37 - 1.989×10^-25

= - 1.98×10^-25J

Answer:

F = 7.21 N

Explanation:

There are two methods to find the magnitude of F.

The first method is the analytical one and the second one is the geometrical one.

The easiest is the geometrical one.

We will start with it

■■■■■■■■■■■■■■■■■■■■■■■■■■

● Method 1:

The geometrical method

The grain remains in equilibrum under the action of 3 forces.

The 3 forces must give if joined together a close path.

There are 3 forces so the resulting shape is a triangle. (Picture 1)

● Al Kashi theorem:

We will use Al Kashi theorem (law of cosine) to find the magnitude of F.

● F^2 = b^2 + c^2 + 2bc×cosA

● F^2 = 10^2 + 4^2 + 2×10×4 × cos(37°)

● F^2 = 52.1

● F = 7.21 N

■■■■■■■■■■■■■■■■■■■■■■■■■■

● method 2 (analytical one)

This method is based on projecting each vector on the x and y axis.

Since the grain remains in equilibrum the relation between the vectors is:

● Vector F + Vector 1 + Vector 2 = Null vector

Vector one is the one with 4 N magnitude and 2 is the 10 one.

Project each vector following the x-axis and the y-axis and add them together.

(Picture 2)

● x-axis

F1 is the 4 N force and F2 is the 10 N one

● Fx + F1x + F2x = 0

● Fx -4 + 10 × cos(37°) = 0

F1x is negative since it goes toward the negatives numbers. It is parallel to the x-axis that's why we have put directly the magnitude

Fx2 is not parallel to the x-axis that's why we have expressed it using the cosine relation. (Picture 3)

● Fx -4 + 10 × cos(37°) = 0

● Fx = 4 -10 × cos(37°)

● Fx = -4 after rounding to the nearest unit

● y-axis

● Fy + F1y + F2y = 0

● Fy + 0 + sin(37°) × 10 = 0

F1y equals 0 since when projecting the vector's head and tail, both were in the same point. In other words the direction of the vector was perpendicular to the y-axis.

F2y is'nt parallel to the y-axis. That's why we have expressed it using the sine.

● Fy + sin(37°)×10 =0

● Fy = -10×sin(37°)

● Fy = -6 after rounding it to the nearers unit

Notice that F, Fx and Fy are creating a right triangle.(picture 4)

● The Pythagorian theorem

● F^2 = Fx^2 + Fy^2

● F^2 = (-4)^2 + (-6)^2

● F^2 = 16+36

● F^2 = 52

● F^2 = 7.21 N

That's the same result we got using the first method.

Answer:

F = 7.21 N

Explanation:

horizontal sum of forces = ∑h = 10 cos(37) - 4 = 3.98 N

vertical sum of forces = ∑v = 10 cos(90-37) = 6.02 N

therefore, the resultant F² = ∑h² + ∑v²

F = sqrt (3.98² + 6.02²)

F = 7.21 N

Answer: Mars and Jupiter

Explanation:

'Doing work' is a way of transferring energy from one object to another, energy is transferred when a force moves through a distance.

If i explain with formula

Work done (J) = Energy transferred (J)

So more energy, more work done bc u transferred more energy to move the object and doing the work. and if you only use a little of energy, the work done also only a little.

Work affect energy between objects so it can cause a change in the form of energy by transferring energy.

According to work energy theorem, the work done on an object is directly proportional to the change in the average kinetic energy of the body.

Thus, we can conclude that work affect energy between objects so it can cause a change in the form of energy by transferring energy.

Learn more here: https://brainly.com/question/10063455

Answer:

[tex]\Huge \boxed{\mathrm{citric \ acid}}[/tex]

Explanation:

Citric acid is naturally found in foods and can be safe to eat.

Citric acid is present in oranges, lemons, and other types of citrus fruits that we can eat.

The acid that is naturally found in foods and can be safe to eat would be citric acid, therefore the correct answer is option B .

A chemical compound is a combination of two or more either similar or dissimilar chemical elements.

For example, H₂O is a chemical compound made up of two oxygen atoms and a single hydrogen atom.

As given in the problem statement we have to find out the acid from the given list of options that are naturally found in foods and can be safe to eat.

The sulphuric acid found in batteries, therefore, is not safe to eat, while the citric acid found in different fruits can be safe to eat.

The correct response is option B since citric acid is a naturally occurring acid that may be consumed without harm.

Learn more about a chemical compound here, refer to the link given below ;

brainly.com/question/12166462

#SPJ6

Answer:

T = 40.08 °C

Explanation:

Given:

m₁ = 0.33 kg, mass of iron horseshoe

T₁ = 693°C, initial temperature of horseshoe

c₁ = 448 J/(g-°C), specific heat

m₂ = 24 kg, mass of water

T₂ = 39°C, initial temperature of water

c₂ = 4186 J/(g-°C), specific heat of water

let T be the equilibrium temperature.

For energy balance,

m₁c₁(T₁ - T) = m₂c₂(T - T₂)

(0.330) * (448) * (693 - T) = (24) * (4186) * (T - 39)

147.84 * (693 - T) = 100,464 * (T - 39)

102,453.12 - 147.84T = 100,464T - 3,918,096

102,453.12 + 3,918,096 = 100,464T - 147.84T

4020549.12 = 100316.16T

T = 40.08 °C

Answer:

The pressure at a depth 01 25 m is 2.5 x 10^5 Pa. This is almost 2.5 times greater than atmospheric pressure. But he air pressure in the hose will be only slightly higher than atmospheric pressure, because the density of air is so low. So Tom will have great difficulty breathing in the low-pressure air when the large pressure of the water is pressing in on his chest.

Explanation:

The depth is h = 25 m

The density of water p = 1000 kg/m^3

Acceleration due to gravity g = 9.81 m/s^3.

Pressure due to a depth is gotten from

P = pgh

P = 1000 x 9.81 x 25 =245250 Pa

==> 2.45 x 10^5 Pa

Approximately 2.5 x 10^5 Pa

Atmospheric pressure = 1.01325 x 10^5 Pa

Dividing the pressure at the bottom of the pond by the atmospheric pressure gives a value of about 2.5,which means that the pressure is 2.5 times the atmospheric pressure.