A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 35.0 min at 55.0 km/h, 16.0 min at 95.0 km/h, and 40.0 min at 35.0 km/h and spends 55.0 min eating lunch and buying gas. (a) Determine the average speed for the trip.

Answer:

To solve this problem, you can use the formula F = ma, where F is the force applied to an object, m is the mass of the object, and a is the acceleration of the object. In this case, the force applied to the object is 51.3 newtons and the acceleration of the object is 48.7 m/s2. So, you can set up the equation like this:

51.3 newtons = m x 48.7 m/s2

To solve for the mass of the object, you can divide both sides of the equation by 48.7 m/s2:

51.3 newtons / 48.7 m/s2 = m x 48.7 m/s2 / 48.7 m/s2

This simplifies to:

1.05 kg = m

So, the mass of the softball is approximately 1.05 kilograms.

It is important to note that the dot product and cross product of any two non-zero vectors cannot both be zero therefore  A×B and A·B cannot both be zero.

In vector space, a non-zero vector. V is a vector that differs from the zero vector in V. If u is a non-zero vector in V and an is a scalar, i.e. an element of the field over which V is defined, then au=0 is only possible if a=0.

The product of any two non-zero vectors is non-zero in this vector context. It is referred to as Hamilton's Quaternions. Over the real numbers, quaternions form a four-dimensional vector space, and their multiplication is a combination of dot product and cross product.

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Hello there!

Formula: A = F * S = mg * S

So m = A/gS

a) m = 1000 J/(9.81 N/kg * 10 m) ≈ 10.194 kg

b) m = 1250 J/(9.81 N/kg * 1 m) ≈ 127.41 kg

d) m = 1000 J/(9.81 N/kg * 10 m) ≈ 7900.1 kg

e) m = 8900 J/(9.81 N/kg * 215 m) ≈ 4.22 kg

g) m = 98 J/(9.81 N/kg * 59m) ≈ 0.17 kg

h) m = 750 J/(9.81 N/kg * 0.75 m) ≈ 101.94 kg

c) m = 1.25 kJ/(9.81 N/kg * 90 m) = 1250 J/(9.81 N/kg * 90 m) ≈ 1.42 kg

f) m = 90 J/(9.81 N/kg * 1250 m) ≈ 0.007339 kg = 7.339 g

i) m = 5 kJ/(9.81 N/kg * 980 m) = 5000 J/(9.81 N/kg * 980 m) ≈ 0.52 kg

The final speed of the second car is '2v' and the collision is elastic collision.

The elastic collision is one in which the system does not experience a net loss of kinetic energy as the result of a collision. In elastic collisions, momentum & kinetic energy are both conserved.

v′ = m1v1 + m2v2 /m1+m2

v ′ = m 1 v 1 + m 2 v 2/ m 1 + m 2

in which m1 is mass of body 1, v1 is its initial speed, m2 is mass of body 2, & v2 is the final speed at which the two objects will be moving after colliding.

m1v +0 = mv/3 +m/3v2

v2 = 2v

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Hello there!

Answer:

3600 J

Explanation:

[tex]E = \frac{mv^2}{2}[/tex]

So m = 50 kg and v = 12 m/s then

[tex]E = \frac{50 * 12^2}{2} J = 3600 J[/tex]

Mass = 50 kg

Velocity = 12 m/s

The kinetic energy of an object.

The formula that is used to find the kinetic energy of an object is given by :

[tex]K = \frac{1}{2}mv^{2} \\K = \frac{1}{2} X 50 X 12^{2} \\K = \frac{1}{2} X 50 X 144[/tex]

As Projectile range is independent of mass, so They all will have same range.

When an object is close to Earth's surface, its gravitational attraction is calculated using the formula F = mg, where m is the object's mass and g is a constant whose value varies depending on the location. On the surface of the earth, it averages 9.81 meters per second. And when one moves away from the surface in either an inner or an outward direction, this value drops.

Although the strength of the earth's gravitational pull changes depending on the mass of the object, the acceleration caused by it is constant (of course close to the surface). Consequently, when two items of different masses are dropped from the same height, they hit the ground simultaneously (neglect air resistance).

Any motion of a projectile simply consists of vertical and horizontal motion. Regardless of the direction the projectile is going in, gravity controls vertical motion since it only acts in that direction. Additionally, the acceleration caused by gravity is not reliant on the mass of the item. Therefore, the mass has no bearing on the vertical motion.

A projectile moves horizontally in a very straightforward manner. A projectile is not affected by horizontal forces. As a result, its horizontal velocity does not change. Additionally, the range is influenced by horizontal velocity and flying time. Flight time is influenced by vertical motion.

We now know that mass has no bearing on flying duration or range. And if you run into a projectile motion problem, simply divide the problem into horizontal and vertical motions. And handle it the same way you would a single-direction motion. greatly simplifies matters.

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The expression for drag force that is proportional to the speed of the object is known as linear drag, while the expression that is proportional to the square of the speed is known as quadratic drag.

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The current through the bottom of the wire is 0.415 A and the negative sign of the current indicates that current flows from left to right from the bottom wire.

The current through various parts of the circuit is as shown in figure.

Here we have to calculate the current I_5.

Applying Kirchoff's loop rule on each of the loops in the circuit, Consider the left triangle, for it, we have

[tex]$$\begin{aligned}& \left(I_1\right) 6 \Omega+\left(I_3\right) 12 \Omega-9 \mathrm{~V}=0 \\& \Rightarrow 6 I_1+12 I_3=9 \\& \Rightarrow I_1=\frac{9}{6}-\frac{12}{6} I_3 \\& \Rightarrow I_1=1.5-2 I_3-----(1)\end{aligned}$$[/tex]

For the centre of the triangle, we have

[tex]$$\begin{aligned}& \left(I_4\right) 24 \Omega-\left(I_3\right) 12 \Omega=0 \\& \Rightarrow I_4=\frac{12}{24} I_3 \\& \Rightarrow I_4=\frac{I_3}{2}-----(2)\end{aligned}$$[/tex]

And for the right triangle, we have

[tex]$$\begin{aligned}& \left(I_2\right) 10 \Omega+\left(I_4\right) 24 \Omega-15 \mathrm{~V}=0 \\& \Rightarrow I_2=\frac{15}{10}-\frac{24}{10} I_4 \\& \Rightarrow I_2=1.5-2.4 I_4------(3)\end{aligned}$$[/tex]

The junction rule applied at the left corner gives

I_1  =I_3+I_5

=I_5  =I_1-I_3

=1.5-2 I_3-(I_3)=1.5-3 I_3--------(4)

And applying the junction rule at the right corner,

I_4 =I_2+I_5

I_5 =I_4-I_2

=I_4-(1.5-2.4 I_4)=3.4 I_4-1.5-------(5)

Using equation (2) [tex]$I_4=\frac{I_3}{2}$[/tex], equation (5) can be written as

[tex]$$\begin{aligned}I_5 & =3.4\left(\frac{I_3}{2}\right)-1.5 \\\end{aligned}$$[/tex]==1.7 I_3-1.5

Solving equations (4) and (6), we have

1.5-3 I_3=1.7 I_3-1.5

(1.5+1.5)=(1.7+3.0) I_3

3.0=4.7 I_3

[tex]\Rightarrow I_3=\frac{3.0}{4.7} \mathrm{~A}[/tex]

Hence the current in the bottom wire is given by

[tex]I_5 & =1.7\left(\frac{3.0}{4.7}\right)-1.5 \\[/tex] =1.085-1.5 =-0.415 A

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it takes about 26 seconds for speed of light with approximate speed of 3\times10^5  kilometers per second to reach Jupiter.

To calculate the time it takes light to reach Jupiter, we need to know the distance between the Sun and Jupiter. The average distance between the Sun and Jupiter is approximately 778 million kilometers. We can use the formula distance = speed x time to calculate the time it takes for sunlight to reach Jupiter. We know that the speed of light is approximately 3x10^5 kilometers per second and the distance between the Sun and Jupiter is 778 million kilometers.time = distance / speed

time = (77810^6 km) / (310^5 km/s)

time = 26 sec (approximately)

Therefore, it takes about 26 seconds for light to reach Jupiter.

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Moment of momentum, which describes the rotating inertia of a system moving about an axis, gauges an object's propensity to keep spinning.

List the object's mass and speed in step one. Convert any values into SI units in step two (kg, m, s). Step 3: To calculate an object's momentum, multiply the object's mass and velocity.

Momentum can go wrong. As a vector quantity with both magnitude and direction, momentum has both. The sign, positive or negative, in physics serves as a cue as to the direction. Positive amounts normally signify a forward or upward motion, whereas negative quantities typically indicate a backward or downward motion.

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What is moment momentum?

The definition of constant velocity is the speed of a moving object that doesn't change over time. The system travelling at a constant speed is subject to zero net acceleration.

In contrast to instantaneous velocity, which is determined by slope of tangent line, average speed is defined as the shift in location (or displacement) during the course of transit.

Speed is the measure of velocity in magnitude. As a result, it is impossible to have two objects moving at the same velocity. The right response is therefore option A.

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Answer:

$4.80

Explanation:

Total energy used is found with this formula:
[tex]E = Pt[/tex]

where:
[tex]E[/tex] is energy (in kilowatt-hours)
[tex]P\\[/tex] is power ( in Kilowatts)
[tex]t[/tex] is time ( in Hours)

We can find the total power consumption by adding all the appliances, then dividing by 1000 to convert it from Watts to Kilowatts:

[tex]\frac{(40*2)+120}{1000} =0.2kW[/tex]

And then find [tex]E[/tex] with 5 hours a day for 30 days:

[tex]E= 0.2*(5*30)=30kWh[/tex]

Thus, cost needed would be:

$0.16 × 30 = $4.80

Mechanical energy is used to start the Ferris wheel, providing the initial rotation and motion to the wheel.

The motion of the wheel then causes the lights along the seats to be powered, allowing them to light up as the wheel turns. The wheel is then able to generate kinetic energy as it moves, which it then uses to continue turning.

As the wheel turns, it transfers its energy from mechanical to kinetic, and this energy is used to keep the wheel moving from start to finish. Kinetic energy is also used to power the centrifugal force which keeps the riders in their seats as the wheel turns, allowing them to enjoy the ride.

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The horizontal displacement of the cannonball  is  65.75 meter.

Speed is characterized as the rate at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

original speed: u= 35.9 m/s.

acceleration due to gravity: g = 9.8 m/s².

Initial height of the cannonball = 166 m.

Hence,  the horizontal displacement of the cannonball = u²/2g

= 35.9²/(2×9.8) meter

= 65.75 meter.

so, the displacement of the cannonball  is  65.75 meter.

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The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infrared radiations).

The wavenumber of hydrogen spectral series is 1/λ = R(1/m2 – 1/n2)

Rydberg constant, R = 1.097 x 107 m-1

1. When m = 1 and n = 2, 1/λ = 1.097 x 107 x (1/12 – ½2) = 0.822 x 107

Wavelength, λ = 1.215 x 10-7 m

When m = 1 and n = ∞

, 1/λ = 1.097 x 107 x (1/12 – 0) = 1.097 x 107

Wavelength, λ = 0.911 x 10-7 m

The range of wavelength when m = 1 is λ = 0.911 x 10-7 m to 1.215 x 10-7 m (this belongs to ultra-violet radiations)

2. When m = 3 and n = 4, 1/λ = 1.097 x 107 x (1/32 – 42) = 0.0533 x 107

Wavelength, λ = 18.7 x 10-7 m

When m = 3 and n = ∞

1/λ = 1.097 x 107 x (1/32 – 0) = 0.122 x 107

Wavelength, λ = 8.20 x 10-7 m

The range of wavelength when m = 3 is λ = 8.20 x 10-7 m to 18.7 x 10-7 m (this belongs to infra-red radiations)

In physics, the wavelength is the spatial duration of a periodic wave—the distance over which the wave's shape repeats. it is the gap between consecutive corresponding points of the same section on the wave, including two adjoining crests, troughs, or 0 crossings, and is a feature of each traveling wave and standing wave, as well as other spatial wave patterns. The inverse of the wavelength is known as the spatial frequency. Wavelength is normally exact by means of the Greek letter lambda (λ). The time period wavelength is also now and again implemented to modulated waves, and to the sinusoidal envelopes of modulated waves or waves fashioned with the aid of interference of several sinusoids.

Assuming a sinusoidal wave shifting at a set wave speed, the wavelength is inversely proportional to the frequency of the wave: waves with better frequencies have shorter wavelengths, and decreased frequencies have longer wavelengths.

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the scale's readout if indeed the elevator is decelerating faster than 160 lb .

Your perceived weight is equal to the normal force.Therefore, whenever the elevator accelerates or upwards downward, you truly feel tiny bit heavier than normal and a little lighter than usual.

Any jump you make would only slow the lift's descent to the ground by a very small amount.Even though you could jump perfectly timed and with all the force your legs could produce, it would be pointless.Your greatest option, as opposed to jumping, is to fold down.

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The height formed by this 25-foot ladder that leans against a wall is 24 feet.

To find out how far up a wall a ladder will reach, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In this case, the ladder forms one side of the triangle, the wall forms another side, and the distance between the base of the ladder and the wall forms the hypotenuse.

Let's call the height of the wall h. Using the Pythagorean theorem, we can set up the following equation:

(25 ft)^2 = h^2 + (7 ft)^2

625 = h^2 + 49

576 = h^2

h = sqrt(576) = 24 ft

Therefore, a 25 ft ladder that is 7 feet from the wall will reach 24 feet up the wall.

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The term "combined immunodeficiency" refers to a genetic abnormality that affects T cells as well as at least one other kind of immune cell in SCID patients.

According to which immune cells—T, B, and/or NK cells—are damaged, different types of SCID are categorized. The deadly illness known as severe combined immunodeficiency (SCID) is caused by a variety of hereditary factors and is defined by severe impairments in T and B cell activity as well as, in some kinds, NK cell function.

X-SCID B cells typically have normal numbers, but they perform abnormally because IL-21 signaling, which is vital for the B-cell lineage's maturation, differentiation, and activation, is compromised (4, 5). Patients with SCID who receive HLA-identical transplants have a survival rate of about 90%. (3, 6).

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Answer:

23.4 kg m/s

Explanation:

p = mv = 0.013kg × 1800m/s = 23.4 Kg.m/s

By looking at the brightness of two stars, astronomers can compare the relative distance of the two stars from Earth.

Who are astronomers?

Astronomers are scientists who study the universe and its phenomena. They observe, analyze, and interpret astronomical data to understand the physical and chemical properties of celestial bodies and their evolution over time. Astronomers use a variety of tools and techniques, including powerful telescopes, spectroscopy, and computer-based analysis, to explore the universe.

Step 1: Write the equation in the form of y= mx + b.

I = k/d^2

y = k/d^2

Step 2: Substitute the given values for k and m.

y = 16/d^2

Step 3: Graph the equation by plotting points for various values of d.

We can plot points for various values of d. For example:

d = 1, y = 16

d = 2, y = 4

d = 3, y = 16/9

d = 4, y = 1

d = 5, y = 16/25

We can plot these points on a graph and connect them with a smooth curve.

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The minimum amplitude of the resultant pulse is 10 cm.

The amplitude of a pulse is the maximum height of the waveform measured from the baseline, also known as the peak-to-peak amplitude. In the case of two pulses, A and B, the minimum amplitude of the resultant pulse is determined by the vector sum of the individual amplitudes of the two pulses.

When two pulses are in phase, the resultant pulse amplitude is the sum of the individual amplitudes, which in this case is 20 cm + 10 cm = 30 cm.

However, if the two pulses are out of phase, the minimum amplitude of the resultant pulse is determined by the difference between the amplitudes of the two pulses. In this case, the minimum amplitude of the resultant pulse would be |20 cm - 10 cm| = 10 cm.

So, the minimum amplitude of the resultant pulse is 10 cm.

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The minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.

What is force?

Force is a quantity that describes the interaction between two objects or systems. It is a vector quantity, meaning it has both magnitude (size or strength) and direction. Forces can cause changes in an object's motion, shape, or internal energy.

To find the minimum force needed to tighten the loose screw, we can use the equation:

F = T / r

where F is the force, T is the torque (90 N.m in this case), and r is the distance from the center of the screw to the point where the force is applied (the length of the wrench, 30 cm in this case).

We need to convert the length of the wrench from cm to meters before calculating the force:

r = 30 cm / 100 cm/m = 0.3 m

Now we can plug in the values into the equation and find the force:

F = 90 N.m / 0.3 m = 300 N

So the minimum force needed to apply a torque of 90 N.m to the screw using a wrench that is 30 cm long is 300 N.

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Because alkylbenzenes, phenols, and thiophenols all share an aromatic hydrocarbon constituent, the answer to this question is A.

Compounds 1 and 2 are both used to create liposomes, and their kinetics are controlled. Compound 1 are controlled kinetically, whereas those made from Compound 2 are controlled thermodynamically. UV lasers like nitrogen lasers (337 nm) and frequency-tripled and quadrupled Nd:YAG lasers are frequently used in MALDI methods (355 nm and 266 nm respectively). An artificial substrate for lactase is hydrolyzed to extract lactase from dietary supplement tablets, which is then measured using a colorimetric assay (ortho-nitrophenol-beta-D-galactopyranoside, ONPG). Because alkylbenzenes, phenols, and thiophenols all share an aromatic hydrocarbon constituent, the answer to this question is A.

The complete question is- What is the reading of the energy meter in Figure 1 when an appropriate laser is used in PAC to dissociate a particular chemical bond?

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R= 2+4=6Ω

in series connection, same current and different voltage

total voltage= total current × total resistance

6=I×6

I=6/6= 1A

voltage across 4Ω resistor= 1×4=4v

Therefore, heat dissipated by the 4Ω resistor in 5s= (v²/R)×t= (4²/4)× 5 = 16/4 × 5 = 20J

According to Ohm's Law, the total current flowing through a circuit with a resistance of 1200 ohms and a 12 V power supply is equal to 0.01 ampere.

Electric current is inversely correlated with resistance according to Ohm's Law and proportionate to voltage. 'The law can be expressed mathematically as V = IR, in which 'V' is the voltage variation 'I' is the flowing current in amps, & the resistance (R) in ohm.

Given data :

Resistance = 1200 ohm

power supply = 12 V

By using Ohm's law

V = I × R

I = V / R

I = 12 / 1200

I = 0.01 ampere.

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As the values are closed to each other, Jane's measurements are precise.

The precision of a substance is defined as the degree to which two or more measurements agree with one another.

It is incredibly precise but not always accurate to measure something if you measured it five times and get around 1.50 cm each time. Accuracy is not necessary for precision. There are various categories of precision:

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Two charged particles are located on the x axis.

What are charged particles?

Charged particles are particles that have either a positive or negative electrical charge. These particles can be found in many forms in nature, such as electrons, protons, and ions. These particles are a key component of electricity, and can be used as a source of energy. Charged particles can be found in atoms and molecules, where they interact with other particles and affect their behavior. They can also be found in plasma, a state of matter that is made up of ions and electrons.

1. Start by writing out the equation for the electric field at the origin:

E = (kQ)/r^2

2. Substitute in the values for Q, k, and r, and solve for the unknown charge:

E = (2keQ)/a^2

E = (2k(+Q))/(3a)^2

+Q = (2kE)/(3a)^2

Since the electric field has a magnitude of 2keQ / a2, the unknown charge can be either positive or negative:

+Q = ±(2kE)/(3a)^2

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Answer:

252 km/hr

70 m/s

Explanation:

s = d/t

answer in km/hr:

s = 1638 km / 6.5 hr = 252 km/hr

if you need the answer in m/s:

s = ((1638 km)(1000 m/km)) / ( (6.5 hr)(60 min/hr)(60 s/min))

  = 70 m/s