The tune-up specifications of a car call for the spark plugs to be tightened to a torque of 50 N⋅m. You plan to tighten the plugs by pulling on the end of a 30-cm-long wrench. Because of the cramped space under the hood, you'll need to pull at an angle of 105 ∘ with respect to the wrench shaft.
With what force must you pull?

Answer:

See below

Explanation:

For a right triangle, remember that tan = opposite leg / adjacent leg:

The angle will be found by using the inverse tangent function

arctan ( .3/1.4)  = 12°

The measure of the angle, in degrees, between the resultant and the 1.40-kilometer displacement vector is 12.

In physics, a vector is a quantity with both magnitude and direction. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity.

A vector does not have position, while having magnitude and direction. In other words, a vector's shape is unaltered if it is shifted parallel to itself as long as its length is unaltered.

Ordinary quantities with a magnitude but no direction are referred to as scalars in contrast to vectors. For instance, while speed (the amount of velocity), time, and mass are scalars, displacement, velocity, and acceleration are vector quantities.

Therefore, The measure of the angle, in degrees, between the resultant and the 1.40-kilometer displacement vector is 12.

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Answer:

Explanation:

m₁ = m₂ = m

m₁' = 2m₁ = 2m

m₂' = 2m₂ = 2m

F₁₂ = G·m₁·m₂ / D² = G·m² / D²

F'₁₂ = G·m'₁·m'₂ / D² = G·2m·2m / D² = 4·G·m²/ D = 4·F₁₂

Gravitational pull increased 4 times

(a) The length of the spring just as the box is ready to move is 5.1cm

(b) The length of the spring when it is pulled forward at a constant velocity of 1.75 m/s is 47.0 cm

(c) The length of the spring when it is pulled forward at a constant velocity of 2.75 m/s is 73.8 cm

The length of the spring just as the box is ready to move is calculated by applying the principle of conservation of energy.

work done by static friction = elastic potential energy of the spring

μmgx = ¹/₂kx²2

μmg = kx

x = 2μmg/k

where;

k is spring constant  = 2.5 N/cm x 100 cm/m = 250 N/mμ is coefficient of static friction

g is the acceleration due to gravity

x is an extension of the spring

x = 2μmg/kx = (2 x 0.65 x 18 x 9.8) / 250x

= 0.051 m

x = 5.1 cm.

The length of the spring when it is pulled forward at a constant velocity of 1.75 m/s.elastic potential energy of spring  = kinetic energy of the box

¹/₂kx² = ¹/₂mv² kx² = mv² x²

= mv²/kx

= √(mv²/k)

where;

m is the mass of the box

v is the speed of the box

x is the length of the spring

x = √(18 x 1.75²/250)x = 0.470 mx = 47.0 cm

The length of the spring when it is pulled forward at a constant velocity of 2.75 m/s.x = √(mv²/k)x = √(18 x 2.75²/250)

x = 0.738 m

x = 73.8 cm

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Answer:

Explanation:

9a)  Velocity North

30 m/s  * Sine(60) = 25.98076..  m/s

9b) Distance North

25.98076 m/s * (3 hour)  but we need hours in seconds b/c that's our velocity units

25.98076 m/s * 10800 s = 280,592.23 m

9c) Velocity East

30 m/s * Cosine(60) = 15 m/s

9d) Distance East

15 m/s * (3 hours)

15 m/s * 10800 s = 162,000 m

9e) Total displacement ( total distance  also known as  magnitude)

Total Distance = [tex]\sqrt{(Distant North)^{2} + (Distant East)^{2} }[/tex]

TD = [tex]\sqrt{280592.23^{2} + 162000^{2} }[/tex]

TD = 323999.99 m

let's round it to  324,000 m

324 Km

The magnetic field protect life on Earth by directing the charged particles toward the poles and then past Earth.

The giant shield around Earth that protects all living things from dangerous charged particles from the sun is called as Earth's magnetosphere. It is generated by the motion of molten iron in Earth's core. It also provides the basis for navigation using a compass.

The magnetosphere shields the life on Earth from the constant bombardment by charged particles emitted from the sun which is called as solar wind.

Therefore, the magnetic field protects life on Earth by directing the charged particles toward the poles and then past Earth.

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Answer: im looking

explination

Answer:

55m east of the sign post

Explanation:

Use this equation

final velocity^2 = initial velocity^2+2(a)(x) x is displacement.

Substitute values:

25^2= 15^2+ 2(4)(x)

625=225+8x

x=50 m

REMEMBER TO ADD INITIAL DISPLACEMENT!!!! :D

Displacement (positive is east in this case)

=50 m+ 5m

=55m.

So the answer is the motorcyclist is 55m east of the sign post.

1. a. Frequency of the wave is equal to 2 cycles per second.

Wavelength of the wave is equal to 1.5 m.

2.a. The frequency of the wave is 3 cycles per second.

b, It is a longitudinal wave of wavelength is equal to 40 cm.

An energy disturbance in a medium without net particle mobility is referred to as a wave. Among the probable manifestations are elastic deformation, pressure changes, variations in electric or magnetic intensity, electric potential, and temperature changes.

From picture 1.

1. a. frequency  of the wave is = 2 cycles per second.

Wavelength of the wave is = 3 m/2 =1.5 m.

From picture 2.

2.a. As it moves forward and backward 3 times in very second, frequency of it is given by  3 cycles per second.

b, It is a longitudinal wave of wavelength is 40 cm.

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Answer:

3 m/s

Explanation:

The slope of a velocity-time graph will give the acceleration for the object over the given interval.

Finding the slope:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1} = \frac{60 - 15}{20 - 5} = \frac{45}{15} = 3\\[/tex]

The acceleration A would be 3 m/s

13.23 joule is gravitational potential energy of the mass when the clock is wound.​

potential energy, p = mgh

m= 0.750 kg

h= 1.80 m

g=9.8 m/s²

p = mgh

p=0.750×1.80 m×9.8 m/s²

p=13.23 joule

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or extended, its potential energy increases. If a steel ball is lifted above the ground as opposed to falling to the ground, it has higher potential energy. It is capable of performing more work when raised. Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has greater potential energy as they get further apart.

Potential energy develops in systems having components whose configurations, or relative positions, determine the amount of the forces they apply to one another.

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(a) The work done by the force on the block is 9.99 J.

(b) The work done by gravity on the block is 29.4 J.

(c) The magnitude of the normal force between the block and the wall is 9.8 N.

The work done by the applied force on the block is calculated as follows;

W = Fd cosθ

where;

F - μmg = ma

since the block is moving as constant velocity, acceleration = 0

Fcosθ - μmg = 0

F = μmg/cosθ

W = μmgd/cosθ

W = 0.3 x 1 x 9.8 x 3 / cos(28)

W = 9.99 (J)

The work done by gravity on the block is calculated as follows;

W = mg d cosθ

where;

W = 1 x 9.8 x 3 x cos(0)

W = 29.4 J

The magnitude of the normal force between the block and the wall is calculated as;

Fn = mg

Fn = 1 x 9.8

Fn = 9.8 N

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When a head collides with an airbag in a collision, the head's initial velocity and its final velocity are measured.

In economics, a power is defined as the pull or draw that modifies an object's velocity. Ingredients that might affect a person's sense of personal work or sleepiness are invisible to the human eye. Its dimensions and form are distinctive.

In daily life, there are many instances of forces, including: weight and force (i.e. the weight of something) the pressure a bat puts on a ball. the amount of force used to brush hair using a brush. the force used by your foot to press the pedal.

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Answer:

below

Explanation:

If it went for 360° it would swing through the ENTIRE circumference = 2 pi r

     = 2 pi ( .8 ) =5.026 m

 but it only swings through 45   of the 360

      45 / 360    *  5.026 = .63 m

The statement indicating that the specific heat of a gas can be measured at constant pressure is accurate when discussing specific heat (Option B).

The specific heat of a gas is a measurement that makes reference to the relative molecular position of the molecules in a substance in the gas state, which is a state of matter where particles are more separated in space when compared with liquid and solid states.

Moreover, specific heat can be defined as the amount of heat energy that may be able to increase the temperature of 1 gr (gram) of a given material to 1 Celssius degree.

Therefore, with this data, we can see that the specific heat of a gas depends on the temperature and it expresses a given amount of heat energy in a substance or material.

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Answer:1568 meters

Explanation:

we will make a speed time graph and we will calculate the speed by multiplying acceleration with time and we will have the speed then we will draw it on the speed time graph this will make a triangle and we will calculate its area and we will have the distance.

Range and Maximum height are proportional to the square of the initial velocity.

In projectile motion, Range of the particle is the horizontal distance travelled by the projectile between launch and the landing points and is denoted as R,

R = u^2sin2θ/g

Here u is initial velocity.

Maximum height is the maximum height from the point of projection, a projectile can reach.

And at maximum height (h) attained, velocity of the object is zero (v=0)

we can use , v^2 - (u sinθ)^2= 2ah     (acceleration due to gravity is a= -g)

Or 0 -  (u sinθ)^2 = 2(-g)h

⇒ h = u^2 sin^2 θ / 2g

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Answer:

Angular displacement  ≈  54 rad

Explanation:

Given:

φ₀ = 0

ω₀ = 15 rad/s

ω = 0

t = 7.2 s

___________

φ - ?

Rotational motion equation:

φ = φ₀ + ω₀·t + ε·t² / 2

Angular acceleration:

ε = (ω - ω₀) / t = ( 0 - 15 ) / 7.2 ≈ - 2.08 rad/s²

Angular displacement :

φ = φ₀ + ω₀·t + ε·t² / 2 = 0 + 15·7.2+ (-2.08)·7.2² / 2 ≈  54 rad

Answer:

he surface area of the bottom of his foot is 3.2 m2.

Explanation:

[tex]{ \red{ \underline{ \green{ \sf{solenoid}}}}}[/tex]

Solenoid is a coil of circular turns made up of insulated copper wire wrapped closely in the cylindrical form

solenoid is formed by circular turns of copper wire in cylinder form

A prototype is the best example or representation of a concept, which is used as a design to shape a device.

A prototype can be defined as a given design in its experimental stage which is very useful to shape the framework or idea to carry out.

Therefore, with this data, we can see that a prototype can be very useful to shape an idea or concept about a given device in particular.

Complete question:

Fill in the blank. A _____ is the best example or representation of a concept.

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Hydrogeological maps bring basic geological information together with data on the hydraulic and hydrochemical characteristics of the rocks and their usefulness for groundwater supply.

The change in momentum of the ball that is kicked by a force of 240 N over a time interval of 0.25 s is 60 Ns.

Change in momentum can be defined as the product of force and time.

To calculate the change in momentum of the ball, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Henece, the change in momentum of the ball is 60 Ns.

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Answer:

E10 Miniature Edison Screw (MES) Also called “Miniature Screw

The smaller light bulbs are the E5 Lilliput Edison Screw (LES).

What are the common light bulb base sizes ?

Today, there are many applications that make substantial use of light bulbs. Lighting bulb bases come in a wide variety.

Based on the letter-number references, you can tell what size light bulb base it is. In contrast to the number, which designates the base's breadth, the first letter indicates the base's shape or form.

Following are the most typical diameters for light bulb bases:

Standard-Medium, normal sized screw in base: E26 or E27

Candelabra, a smaller screw in base: E12

Intermediate: E17

Bi-pin, having pin-in base including two points of contact: G4 or GU24

Twist-And-Lock base: GU10

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0.0135 cm distance  is the maximum compression of the spring.

mass=0.1 kg

velocity=2.3 m/s = 230 cm/s

spring constant, k= 1700 N/m

F=Kx

x=F/k

x=ma/k

x=0.1×230÷ 1700

x= 0.0135 cm

Distance is the length between two locations or things, independent of direction. Since distance is a scalar property, it only takes into consideration the total magnitude and ignores the start and finish positions. Since distance is a scalar attribute, it can only have a positive or zero value; it cannot have a negative value.

The most common unit of measurement for distance is the meter (m), while larger distances can also be stated in kilometers (km), while smaller distances can be expressed in centimeters (cm) or millimeters (mm). When calculating distance, the letter D is often used to represent the distance traveled.

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Radio waves and microwaves have A.)low frequency and long wavelength.

Microwaves are classified as radio waves, but they have higher frequencies than other radio waves. And so with higher frequencies, they also have more energy. That's is the reason, microwaves are useful for heating food in microwave ovens.

Microwaves have a long wavelength, but not as long as radio waves. The  atmosphere of earth is transparent to some wavelengths of microwave radiation. The longer wavelengths pass through the atmosphere of earth more easily than the shorter wavelength microwaves.

Radio waves have photons with the low energies and microwaves have more energy as compared to radio waves.

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Answer:

Explanation:

If the electric field is inhomogeneous, then the magnitude of the strength (and voltage) is determined by the density of the field lines: where the field lines are thicker, the field strength is greater

Answer:

Let

T

be the tension of the cable and m

g

be the force of gravity. If the upward direction is positive, then Newton’s second law is T−mg=ma, where a is the acceleration. Thus, the tension is T=m(g+a). We use constant acceleration kinematics (Table 2-1) to find the acceleration (where v=0 is the final velocity, v

0

=−12m/s is the initial velocity, and y=−42m is the coordinate at the stopping point). Consequently, v

2

=v

0

2

+2ay leads to

a=−

2y

v

0

2

=−

2(−42m)

−12m/s

=1.71m/s

2

We now return to calculate the tension:

T=m(g+a)

=(1600kg)(9.8m/s

2

+171m/s

2

)

=1.8×10

4

N

Answer:

Explanation:

Given:

P = 1205.4 N

g = 9.8 m/s²

___________

m - ?

m = P / g

m = 1205.4 / 9.8 ≈ 123 kg

Answer:

1. B (graph A) 2. A (graph D) 3. D (graph B) 4. C (graph C)

Explanation:

1. Graph A gives the relationship between the speed of a car and time. Over time, the speed of the car is decreasing (moving closer to 0). Therefore, the car is slowing down.

2. Graph D gives the relationship between the distance of a car and time. Over time, the distance the car has traveled is increasing at a steady rate. Because the distance is changing, we know the car is moving. And because the slope of the line is constant, the car is moving at a constant speed.

3. Graph B gives the relationship between the distance of a car and time. This distance is not changing over time, meaning that if the car started 5 meters away, the car is still 5 meters away. Therefore, the car is not moving.

4. Graph C gives the relationship between speed and time. The speed is increasing, and therefore not constant. This means that the car is either speeding up or slowing down. Since speed is increasing (the inverse of graph A), we know the car is speeding up. When an object is speeding up, the velocity/speed and the acceleration have the same sign (both positive or negative). Our speed values are all positive, so our acceleration must also be positive.