Which of the following is NOT an example of a scalar quantity?

75 degrees Celsius
22.5 miles
2.0 meters, east
258 km

Which of the following is NOT an example of a vector quantity?

75 degrees Celsius
22.5 miles, south
2.0 meters, east
258 km, north

The height of the cliff, given that her phone landed 20 m away when she accidentally threw her phone with a velocity of 5 m/s is 78.4 m

To determine the height of the cliff, we must first obtain the time taken for her phone to reach the ground. This is obtained as follow:

s = ut

20 = 5 × t

Divide both sides by 5

t = 20 / 5

t = 4 s

Finally, we shall determine the height of the cliff. Details below:

h = ½gt²

h = ½ × 9.8 × 4²

h = 4.9 × 16

h = 78.4 m

Thus, the height of the cliff is 78.4 m

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0.32 m/s²  the acceleration of a 250000 kg jumbo jet just before takeoff when the thrust on the aircraft is 80000 nn.

Acceleration the rate at which the speed and direction of a moving object vary over time. A point or object going straight forward is accelerated when it accelerates or decelerates. Even though the speed remains constant, motion on a circle accelerates because the directions is always shifting. Due to the fact that it includes both magnitude and direction, velocity is a quantity. As the rate at which velocity changes, acceleration is likewise a vector quantity.

The formula may be used to determine an object's acceleration given its mass and the force acting on it.

a= f/m

f is the force

m is the mass

a = 80000 / 250000

a = 0.32 m/s²

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The focal length of the mirror is 50cm.

This refers to the distance from the lens or mirror to the focal point(F). It is measured in centimeters, cm or meters,m.

Formula for calculating the focal length of the mirror:

f = R * 2

Where,

f = focal length

R = the radius of curvature

What is a focal point (F)?

This refers to the point where by rays or waves meet after reflection or refraction, or the point from which diverging rays or waves appear to proceed.

In the question:

R = 25cm

f = R * 2

Substituting the values we have:

f = 25cm* 2

f = 50cm

Hence, the focal length of the mirror is 50cm.

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The mechanical energy of the oscillator is lost in each cycle is 7.44%.

Mechanical energy- (Kinetic energy or potential energy-) is the energy- of either an objective in motions or the energy that is stored in objects by their position. Mechanical energy is also a driver of renewables to energy. Many forms of the  renewable energy relying on Mechanical energy to be the  adequately produced power or converted energy.

Since the energy is proportional to the amplitudes squared,then  we found the fractional changes (assumed small) is,

EE ,−E≈ E

dE=xm2dx

m2=xm2

2xmdxm=2x

mdx.m

Thus, if we approximately the fractional changes in  x

m​as x mdx m

then the above-mentioned calculations of shows that multiplying by  this by  2  should be give them fractional energy- change. Therefore, if  x

m decreases by  3.72%, then  E  must decreased by  7.44%.

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Answer:

Below

Explanation:

ESE = 1/2 k d^2

        = 1/2 *  10 N/m * .1 m = .5 J

The distance over which the force acts on the box, given that 70 N is applied to the 10 Kg box is 3.125 m

We'll begin by obtaining the acceleration of the box. Details below:

Net force = mass × acceleration

40 = 10 × acceleration

Divide both sides by 10

Acceleration = 40 / 10

Acceleration = 4 m/s²

Finally, we shall determine the distance. Details below

v² = u² + 2as

5² = 0² + (2 × 4 × s)

25 = 0 + 8s

25 = 8s

Divide both side by 8

s = 25 / 8

s = 3.125 m

Thus, we can conclude that the distance covered is 3.125 m

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The angle between the resultant and the larger force is 60 degree  if resultant force value is value 9.1Newtons.

We know that resultant force is given by the superposition principle which uses a formula

Resultant force =√((F₁)² + (F₂)² + 2 ˣ F₁ ˣ F₂ ˣ cosθ)

Superposition principle of electric force to find the resultant power, all accuses are thought about independently of that specific charge as though any remaining charges are missing. Along these lines, for each charge, the power on that specific charge is to be found out. Then the vector amount of the multitude of forces gives the resultant forces on that charge.

We have resultant force as 9.1Newton,F₁=6.2newton,F₂=4.4 newton

So,on putting the values,we get

=>(9.1) = √[(6.2)² + (4.4)² + 2 × 6.2×4.4×cosθ]

Squaring on both sides,we get

=>9.1 × 9.1 =(6.2)² + (4.4)² + 2× 6.2×4.4×cosθ

=>82.81=38.44 + 19.36 + 54.56×cosθ

=>82.81=57.8+ 54.56×cosθ

=>82.81-57.8= 54.56×cosθ

=>25.01=54.56×cosθ

=>cosθ=25.01/54.56

=>cosθ = 0.458

=>cosθ=cos(62.5)°

=>θ=62.5°

=>θ=60°(nearest 10th)

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The deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.

To find the deceleration of the motorcycle, we can use the formula:

deceleration = (final velocity - initial velocity) / time

Plugging in the given values, we get:

deceleration = (0 m/s - 15.0 m/s) / 5.0 s = -3.0 m/s^2

To find the distance the motorcycle travels during deceleration, we can use the formula:

distance = (initial velocity * time) + (1/2 * deceleration * time^2)

Plugging in the given values, we get:

distance = (15.0 m/s * 5.0 s) + (1/2 * -3.0 m/s^2 * 5.0 s^2) = 75.0 m

So the deceleration of the motorcycle is -3.0 m/s^2 and it travels 75.0 m during deceleration.

Answer: Acceleration

Explanation:

When two objects interact through the gravitational force between them, the more massive one has a lower acceleration than the less massive object.

Frequency is inversely proportional to the time period. That is, f = 1/T.

This refers to the number of waves that passes a fixed place in a given amount of time.  Frequency is measured in hertz, this is equal to one event per second.

What is period, T ?

This refers to the time needed for one complete cycle of vibration to pass a given point. A period is measured in seconds.

Note:  AS the frequency of a wave increases, the period of the wave decreases. Frequency and Period are in reciprocal relationships.

Mathematically :

f = 1/T

T =Total time,Period

f =  Frequency

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The car’s average acceleration is 6 meter/second^2.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

Given that: the car can accelerate from rest to 30 m/s in 5 seconds.

Hence, average acceleration of the car = change in speed/time interval

= ( final speed - initial speed)/time interval

= ( 30 m/s - 0 m/s) / 5 second

= (30/5) meter/second^2

= 6 meter/second^2.

Hence, the  average acceleration of the car  is  6 meter/second^2.

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The energy that results from an object's location in relation to other things is known as potential energy. Potential energy is frequently connected to restorative forces like the force of gravity or a spring.

The mechanical energy of an item is the total of its potential and kinetic energies. A falling object loses potential energy while gaining kinetic energy. The difference between the increase in kinetic energy and the reduction in potential energy is exact.

Potential energy and kinetic energy vary primarily in that one is the energy of what can be and the other is the energy of what is. In other words, stored energy is ready to be released but potential energy is immobile.

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After thrown from his horse, Collin might have trouble with his occipital lobe.

The occipital lobe is one of the four significant lobe of the cerebral cortex in the mind of warm blooded creatures. The name gets from its situation at the rear of the head, from the Latin ob, "behind", and caput, "head".

The occipital lobe is the visual handling focus of the mammalian mind containing a large portion of the physical locale of the visual cortex. The essential visual cortex is Brodmann region 17, ordinarily called V₁(visual one). Human V₁ is situated on the average side of the occipital curve inside the calcarine sulcus; the full degree of V₁ frequently go on onto the occipital shaft.

V₁ is much of the time likewise called striate cortex since it tends to be distinguished by a huge stripe of myelin, the Stria of Gennari. Outwardly determined locales outside V₁ are called extrastriate cortex. There are numerous extrastriate districts, and these are specific for various visual errands, for example, visuospatial handling, variety separation, and movement insight. Two-sided injuries of the occipital curve can prompt cortical visual deficiency.

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Using the water that is both held in dams and flowing in rivers, hydropower, also known as hydroenergy, is a renewable energy source.

In order to generate electricity, hydroelectric power uses the force of moving water, making it a renewable energy source. Long before you switch on a light at home or at work, the hydroelectric process has already begun.

Water must flow in order to generate power. Kinetic energy is energy that moves. The energy transforms into mechanical (machine) energy as flowing water turns blades in a turbine.

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The first minimum of an a- wideslit is produced by 410-nm ultraviolet light at an angle of 11.8, and by 700-nm red light at an angle of 20.5.

The lens and cornea are impervious to light with UV wavelengths less than 360 nm. As a result, violet light, which ranges in wavelength from 360 nanometers to 400 nanometers, is the best light for controlling myopia from both an efficacy and safety perspective.

d

sin

θ

=

n

λ

2

(

sin

θ

)

=

(

1

)

(

410

×

10

−

9

)

sin

θ

=

410

×

10

−

9

2

=

2.05

×

10

−

7

θ

=

sin

−

1

(

2.05

×

10

−

7

)

=

1.17

×

10

−

5

Thus the angle is

1.17

×

10

−

5

.

(b.)

Given data

The width of slit is

d

=

2.00

m

.

The number of minimum is

n

=

1.

The wavelength is, \lambda =700 nm

The wavelength of violet light, which ranges from 380 to 450 nanometers, is at the higher end of the visible spectrum (in experiments, people have so far seen to 310 nm). In contrast to X-rays and gamma rays, ultraviolet light has a wavelength that is shorter than violet but greater than both of them. In general, light violet is used to compose violet items.

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Initial velocity=- 80km/h, the diameter of the tyre= 75cm, and revolution= 300. initial angular velocity wi= v/r (80) (5/18)/75/200= 59.26 rad/sec. so, angular acceleration is 0.93 rad/sec2.

We must first determine the tires' angular acceleration. Let's transform the provided translational velocity to rotational velocity to do this. Thus, the tires' angular acceleration is 2.42 rad/s2 rad/s2.

The angular velocity (w), a vector quantity in a uniform circular motion, is determined by dividing the angular displacement (), also a vector quantity, by the change in time (t). Speed is equal to |w|R and is calculated by dividing the arc length traveled (S) by the change in time (t).

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The change in internal energy of a system is - 5290×10⁴J.

Innate strength A system's or a body's (with clearly defined boundaries) U is made up of the sum of the kinetic and potential energies resulting from molecular motion as well as the electric and vibrational motion of the atoms within molecules.

Heat transfer into the system Q₁ = 4.23×10⁶J

Heat transfer out of the system Q₂ = 9.07× 10⁶J

Work done W =  4.50×10⁵J

The heat transfer into the system less the heat transfer out of the system is now known as the net heat transfer.

Q = Q₁ - Q₂

Q = 4.23×10⁶ -  9.07× 10⁶

Q = -4.84× 10⁶J

The first law of thermodynamics provides the following formula for the change in internal energy:

ΔU = Q - W

ΔU = -4.84× 10⁶ -  4.50×10⁵

ΔU = - 5290×10⁴J.

A negative sign indicates a decrease in internal energy.

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Answer:

Together, the number of protons and the number of neutrons determine an element's mass number: mass number = protons + neutrons. If you want to calculate how many neutrons an atom has, you can simply subtract the number of protons, or atomic number, from the mass number.

Explanation:

When a soap bubble 100 nm thick and illuminated by white light incident perpendicular to its surface, then wavelength, λ is calculated =  5.32 *10^-7 m.

The ratio of the speed of light in a vacuum, c, to the speed of light in a medium, c' is called as index of refraction. One of the consequence of this difference in speed is that when light goes from one medium to another at an angle, then the propagation vector in the new medium has a different angle with respect to normal.

Given, t= 100nm= 100 * 10 ^-9  n= 1.33

ΔФ1 = λ/4

ΔФ2 = 2√2 t λ n/2 λ

=2 t n

=2 * 100 * 10 ^-9 * 1.33

= 2.66 *10^-7

2.66 *10^-7= λ/2

λ=  5.32 *10^-7 m.

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An average tendon can withstand 16000 per square inch of force (psi). The Achilles tendon may begin to fail at a force of F = 1280 pounds.

That meaning of the term "force" is obvious. At this point, it is quite acceptable to refer to a force as a push or possibly a pull. An item does not "have energy in it" or "encompass energy." A force is applied to one thing by another. A factor is anything that affects non-living things as well.

Inertia is what holds the cosmos together. Literally. That could prevent matter from having the electric forces necessary to produce its system layout. Vibrating particles generate heat and rotational motion, which operate to counteract inertia.

Area of tendon 0.4×0.2

=0.08 square inch.

0.08 square inch tendon =16000×0.08

F =1280 pound.

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Answer:

Below

Explanation:

The friction subtracts from the forward force

F = ma

(5000 - 1250) / 1500 = a    = 2.5 m/s^2

We can determine if a star is moving toward or away from earth by measuring its brightness.

The correct answer would be:

[tex]\fbox{False}[/tex]

The rate at which sun transfers its mass to other forms of energy is 4.3* 10⁹ kg/s.

The fraction of its original mass has the sun lost in this way since it began to burn hydrogen, about 4.5 x 109 y ago is 3.1 * 10⁻⁴.

Given that,

Mass of the sun = 2* 10³⁰ kg

Radiation power P = 3.9* 10²⁶ W

The rate of changing mass is P = E/t = (m*c²)/t

Re-arranging the terms, we have,

m/t = P/c² = (3.9* 10²⁶)/(3* 10⁸)² = 4.3* 10⁹ kg/s

Fraction of original mass lost is Δm = m/t * t = (4.3* 10⁹)* (4.5* 10⁹)

⇒ 6.15 * 10²⁶ kg

Fraction of mass lost = Δm/(m + Δm) = (6.15 * 10²⁶)/(2* 10³⁰ + 6.15 * 10²⁶)

⇒ 3.1 * 10⁻⁴

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The parameter of the dark energy equation of state is viewed as an arbitrary constant with a value falling between the range $w in [-1.5, -0.5]$, the upper and lower bounds of which are determined by recent measurements. We get scale factor approximations with better than 1% accuracy.

Mass of a solid substance per unit volume. The equation for density is d = M/V, where d represents density, M is mass, and V is volume. Density is often measured in grammes per cubic centimetre. Its mass per unit of volume is a measure of a substance's density. Although the sign can also represent the Latin letter D, it is most frequently used to represent density. Mass divided by volume is the formula for density in mathematics: displaystyle rho = frac mV. where V is the volume, is the density, and m is the mass.

How much mass there is in a specific volume or area is determined by its density. The formula for determining a substance's density is to divide its mass by its volume.

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(A) The two additional forces that act on the sled as it travels from the top of the hill to the bottom are friction force and weight of the children.

(B) The force of friction is opposing the motion while the weight of the children is assisting the downward motion.

The forces that act on the sled as it travels from the top of the hill to the bottom with either aid the downward motion or oppose the downward motion.

The forces acting on the sled include the following;

The weight of the children is acting downwards and it will increase the motion downwards since there in the same direction.

The force of friction between the surface of the sled and the hill will oppose the downward motion of the children as the father exerts the downward force.

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Newton's third law states that any action will have a(n) equal and opposite reaction.

Answer:

To find the acceleration of a car slowing from 12 m/s to a stop in 15 seconds, we can use the formula a = (vf - vi) / t, where a is the acceleration, vf is the final velocity, vi is the initial velocity, and t is the time. In this case, the initial velocity is 12 m/s, the final velocity is 0 m/s (since the car is coming to a stop), and the time is 15 seconds. Plugging these values into the formula, we get a = (0 - 12) / 15 = -0.8 m/s^2. This means that the car is slowing down at a rate of 0.8 meters per second squared.

On an ECG machine that meets the international standard, the paper moves at 25 mm/second.