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Answer:

The maximum speed of Bolt for the 100 m race is 14.66 m/s

Explanation:

Given;

initial distance covered by Bolt, d = 200 m

time of this motion, t = 19.3 s

The second distance covered by Bolt, = 100 m

Assuming Bolt maintained the same acceleration for both races.

His acceleration can be determined from the 200 m race.

d = ut + ¹/₂at²

where;

u is his initial velocity = 0

d =  ¹/₂at²

\(at^2 = 2d\\\\a = \frac{2d}{t^2} \\\\a = \frac{2\times 200}{19.3^2} \\\\a = 1.074 \ m/s^2\)

Let the final or maximum velocity for the 100 m race = v

v² = u² + 2ad₂

v² =  2 x 1.074 x 100

v² = 214.8

v = √214.8

v = 14.66 m/s

The maximum speed of Bolt for the 100 m race is 14.66 m/s

Answer:

a = 1.55m/s²

Explanation:

a = (v_f-v_0)/t

a = (12.4m/s-3.22m/s)/5.94s

a = 1.55m/s²

The motorcycle had covered a distance of 16 meters in half the total time.

a) To calculate the acceleration, we can use the formula:

a = (v - u) / t

where a is the acceleration, v is the final velocity, u is the initial velocity (which is 0 since the motorcycle starts from rest), and t is the time.

Given:

u = 0 m/s (initial velocity)

v = ? (final velocity)

t = 4 s (time)

s = 64 m (distance)

Using the equation of motion:

s = ut + 1/2at^2

We can rearrange the equation to solve for acceleration:

a = 2s / t^2

a = 2(64) / (4)^2

a = 128 / 16

a = 8 m/s^2

Therefore, the acceleration of the motorcycle is 8 m/s^2.

b) To find the final velocity, we can use the formula:

v = u + at

v = 0 + (8)(4)

v = 32 m/s

Therefore, the final velocity of the motorcycle is 32 m/s.

c) To determine the time at which the motorcycle had covered half the total distance, we divide the total distance by 2 and use the formula:

s = ut + 1/2at^2

32 = 0 + 1/2(8)t^2

16 = 4t^2

t^2 = 4

t = 2 s

Therefore, the motorcycle had covered half the total distance at 2 seconds.

d) To calculate the distance covered in half the total time, we use the formula:

s = ut + 1/2at^2

s = 0 + 1/2(8)(2)^2

s = 0 + 1/2(8)(4)

s = 0 + 16

s = 16 m

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The missing species of the nuclear reaction obtained is ³⁰₁₅P

The missing species of the equation can be obtain as follow:

Now, we can obtain the value of x, y and Z as follow:

²⁷₁₃Al + ⁴₂He -> ʸₓZ + ¹₀n

For x

13 + 2 = x + 0

15 = x

x = 15

For y

27 + 4 = y + 1

31 = y + 1

Collect like terms

y = 31 - 1

y = 30

For Z

ʸₓZ => ³⁰₁₅Z

From the period table, the element with atomic number of 15 is phosphorus, P. Thus, we have

ʸₓZ => ³⁰₁₅Z => ³⁰₁₅P

Therefore, we can write the complete equation as:

²⁷₁₃Al + ⁴₂He -> ³⁰₁₅P + ¹₀n

Thus, the missing species is ³⁰₁₅P

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Answer:

Explanation:

It's graph A because the pressure in the tire is increasing as the amount of air going into it increases. B says the pressure drops exponentially as air goes in, and C says that the pressure stays the same as air goes in. Pressure in a tire increases proportionally to the amount of air in it.

Answer:

53.41 N/m

Explanation:

From Hooke's law,

Applying,

F = ke............. Equation 1

Where F = Force, e = extension, k = force constant of the aortal material

Make k the subject of the equation

k = F/e............. Equation 2

From the question,

Given: F = 1.8 N, e = 3.37 cm = 0.0337 m

Substitute these values into equation 2

k = 1.8/(0.0337)

k = 53.41 N/m

Hence the force constant of the aortal material is 53.41 N/m

Answer:

D. Push Factor

Explanation:

Weather hazards and natural disasters are horrendously negative things that people actively seek to avoid; they make people want to leave or depart from an area in order to escape them. As such, they are considered push factors.

(Weather hazards and natural disasters are not pull factors because when discussing push vs pull we are specifically describing the mentioned factor. This aspect is not considered both because the migration factor mentioned in this question actively makes people want to move to any area that avoids their issue. Remember that pull factors make people want to move to a specific place for a unique advantage, while push factors make people want to move to any general place for a common advantage.)

The mass of water that undergoes a change in temperature from 10 degrees celsius to 60 degrees celsius is 24.9 g.

Mass is the quantity of matter a body contained.

To calculate the mass of  the water, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the mass of water is 24.9 g.

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Answer: M^-1 L^-3T^4A^2

Explanation:

From coloumb's law

K = q1q2 / (F × r^2)

Where;

q1, q2 = charges

k = constant (permittivity of free space)

r = distance

Charge (q) = current(A) × time(T) = TA

THEREFORE,

q1q2 = (TA) × (TA) = (TA)^2

Velocity = Distance(L) / time(T) = L/T

Acceleration = change in Velocity(L/T) / time (T)

Therefore, acceleration = LT^-2

Force(F) = Mass(M) × acceleration (LT^-2)

Force(F) = MLT^-2

Distance(r^2) = L^2

From ; K = q1q2 / (F × r^2)

K = (TA)^2 / (MLT^-2) (L^2)

K = T^2A^2M^-1L^-1T^2 L^-2

COLLEXTING LIKE TERMS

T^2+2 A^2 M^-1 L^-1-2

M^-1 L^-3T^4A^2

Answer: (a) The total translational kinetic energy of the gas is \(35 \times 10^{7} J\).

(b) The energy as heat providing to the gas so that the average speed of its molecules increases to double is \(8.7 \times 10^{7} J\).

Explanation:

Given: Average speed of molecules = \(5 \times 10^{3}\) m/s

Moles = 0.1 mol

(a) As the give gas is nitrogen so its mass is 28 g/mol.

Formula to calculate translational kinetic energy is as follows.

Total translational K.E = \(\frac{1}{2}mv^{2}\)

where,

m = mass

v = velocity

Substitute the values into above formula as follows.

\(Translational K.E = \frac{1}{2}mv^{2}\\= \frac{1}{2} \times 28 \times (5 \times 10^{3})^{2}\\= 35 \times 10^{7} J\)

(b) As the energy is directly proportional to the square of velocity. So, when average speed of molecules increases to double then relation between energy and velocity will be as follows.

\(E \propto (2v)^{2}\\or, E \propto 4v^{2}\\v^{2} \propto \frac{E}{4}\)

This means that velocity gets one-fourth times the energy of its molecules.

Therefore, energy will be calculated as follows.

\(Energy = \frac{35 \times 10^{7}}{4}\\= 8.7 \times 10^{7} J\)

Therefore, we can conclude that

(a) The total translational kinetic energy of the gas is \(35 \times 10^{7} J\).

(b) The energy as heat providing to the gas so that the average speed of its molecules increases to double is \(8.7 \times 10^{7} J\).

Answer:

gases......is the right ans. it means elements..

Answer:

No

Explanation: An opinion is a judgment, viewpoint, or statement that is not conclusive, rather than facts, which are true statements.

Answer:

The speed will be "0.144 rad/s".

Explanation:

Given that,

Diameter,

d = 7.50 km

Radius,

R = \(\frac{7.5}{2} \ Km\)

Acceleration on inner curve,

= 8 times

Now,

As we know,

⇒ \(\omega^2R=8g\)

or,

⇒ \(\omega=\sqrt{\frac{8g}{R} }\)

On substituting the values, we get

⇒     \(=\sqrt{\frac{8\times 9.8}{\frac{7.5}{2}\times 10^3 } }\)

⇒     \(=\sqrt{\frac{78.4}{3750} }\)

⇒     \(=\sqrt{0.0209}\)

⇒     \(=0.144 \ rad/s\)

Answer:

No,why you say that

Explanation:

Answer:

b (i think)

Explanation:

Answer:

25.48

Explanation:

the earth's gravitational pull is 9.8 m/s. So to find the answer, multiply 2.6 x 9.8

Answer:

240 C

Explanation:

Given:

To find:

Solution: Formula relating Q, I and t is given as:

Thus, 240 Coulomb charge will pass through the wire.

Answer:

a. lower surface area, less resistence

b. more surface area, the load is split so no single tire overstrained

c. more surface area, more resistance against the sand. human steps sink down in the sand.

d. rapid change in air pressure on eardrums lead to somewhat-painful tension

e. air would always find its way in so no pressure difference can be achieved

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Explanation:

solid have a definite shape because molecules are compact and vibrate around a fixed position but liquids flow because because molecules are loose and move about freely or without restrain

Answer:

here is my theory

Explanation:

solids have molecules which are totally intact and can't be taken apart unless it's done by hand or by tool on the other hand liquids are not intact at all and has no molecule's together.

A proton (charge 1.602 * 10-19) moves a distance of d= 0.59 m from point A to point B in a straight line inside a linear accelerator. The electric field of the accelerator is uniform and has a magnitude of 15 MN/C.

i.) The expression for the force on proton is,

F=qE

(1.6⋅10−19 )(1.5⋅10 7)

=2.4⋅10 −12 N

Thus, the force on the proton is 2.4⋅10 −12 N.

ii) The expression for the work done by the field is,

W=qEd

(1.6⋅10 −19)(1.5⋅10 7 )(0.5)

=1.2⋅10 −12J

iii) The expression for the potential difference is,

U=Ed

=(1.5⋅10 7) (0.5)

=0.75⋅10 7 V

Electric potential of a system of point charges?

A point charge's electric potential is V=kQ/r. Electric field is a vector while electric potential is a scalar.

What is the electric potential at a point distance?

Electric potential at point P, located at a distance of r=R2 from the center, where R is the radius of an evenly charged shell with a density of surface charges.

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Answer:

The  value is  \(a = - 4.45 m/s^2\)

Explanation:

From the question we are told that  

       The  initial speed is  \(u = 28 \ m/s\) at a distance of  \(s_1 = 0 \ m\)

        The  final speed is  \(v = 0 \ m/s\)    at a distance of  \(s_2 = 88 \ m\)

Generally  from the  kinematic equation we have that

       \(v^2 = u^2 +2as\)

=>   \(a = \frac{v^2 - u^2 }{ 2(s_2 - s_1 )}\)

=>  \(a = \frac{0 - 28^2 }{ 2(88 - 0 )}\)

=>   \(a = - 4.45 m/s^2\)

The negative sign shows that it is decelerating

Answer:

True they can influence you and have an effect on your mental and emotional health.

Explanation:

Have you ever played Farckel.

Answer:

The axis of rotation of the Earth is tilted at an angle of 23.5 degrees away from vertical, perpendicular to the plane of our planet's orbit around the sun. The tilt of the Earth's axis is important, in that it governs the warming strength of the sun's energy.

Explanation:

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Answer:\(60^{\circ}\)

Explanation:

Given

\(\mid\Vec{A}\mid=1\)

\(\mid\Vec{B}\mid=2\)

And \(A\cdot B=1\)

We know \(\vec{A}\cdot \vec{B}=\mid\Vec{A}\mid\mid\Vec{B}\mid\cos \theta\)

Where \(\theta\) is the angle between them

Substituting the values

\(1=1\times 2\cos \theta\)

\(\cos \theta =\dfrac{1}{2}\)

\(\theta =60^{\circ}\)

Thus the angle between \(A\) and \(B\) is  \(60^{\circ}\)

Answer:

3.456 × 10^(8) m

Explanation:

We are given;

Mass of earth; m_e = 5.98 × 10^(24) kg

Mass of moon; m_m = 7.36 × 10^(22) kg

Distance from earth to moon; L = 3.84 × 10^(8) m.

We are told that the Moon’s gravitational pull is stronger than that of Earth’s.

Thus;

F_EA ≤ F_MA

Formula for force due to gravity is;

F = GMm/r²

Applying to this question, we have;

(Gm_e•m_a)/x² ≤ (Gm_m•m_a)/(l - x)²

Where x is his distance from the center of the Earth

Now, G and m_a will cancel out from both sides and we plug on other values to get;

(5.98 × 10^(24))/x² ≤ (7.36 × 10^(22))/(3.84 × 10^(8) - x)²

Taking square root of both sides gives;

2445403852127.4966/x ≤ 271293199325.0107/(3.84 × 10^(8) - x)

Rearranging gives;

2445403852127.4966(3.84 × 10^(8) - x) ≤ 271293199325.0107x

Simplifying this gives;

9.0139(3.84 × 10^(8) - x) ≤ x

(34.613 × 10^(8)) - 9.0139x ≤ x

(34.613 × 10^(8)) ≤ x + 9.0139x

(34.613 × 10^(8)) ≤ 10.0139x

x ≥ (34.613 × 10^(8))/10.0139

x ≥ 3.456 × 10^(8)

Answer:D>D>D>D>D>D>D>D>>D>D>D>D>D>D>D>D>D>

Explanation:

Answer:

O D. Any fundamental force

Explanation:

got it right on the test

A ladder is leaned against a wall. The wall has friction but the floor is frictionless. It should be noted that the ladder cannot be in static equilibrium

In order for the ladder to be in static equilibrium, the net force acting on it must be zero. However, in this case, there will be a horizontal force exerted by the wall on the ladder due to friction, which will create a torque about the base of the ladder.

When a ladder is leaned against a wall, it exerts a force on the wall called the normal force, which is perpendicular to the surface of the wall. In order for the ladder to be in equilibrium, the normal force must balance the weight of the ladder and any objects on it. This torque will cause the ladder to rotate and hence, it cannot be in static equilibrium.

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The function is not continuous at x=1, so the answer is A.

At x=1, the two pieces of the function meet. The first piece ends with an open dot at (1,0), meaning that the function is not defined at $x=1$. The second piece starts with a closed dot at (1,-1), meaning that the function is defined at x=1 and takes the value -1 there.

Since the function is not defined at x=1, it cannot be continuous at that point. Therefore, the function is not continuous overall.

One of the primary characteristics present in situations in which management science techniques are applied is that the management problems have only a few variables. Thus, the correct option is A.

Management science is important while doing any research, business, or study because it helps the organizations in identification of the issues which they need to solve, streamline management efforts, use resources more effectively, and also develop roadmaps for achieving the set goals.

Management problems are studied and these are so complicated that managers need help to analyze a large number of variables before doing  any research.

Therefore, the correct option is A.

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Your question is incomplete, most probably the complete question is:

One of the primary characteristics present in situations in which management science techniques are applied is ________.

A) that the management problems have only a few variables

B) that the situation deals with quantifiable factors such as sales

C) that the situation deals with the physiological, safety, social, esteem, and self-actualization needs of organization members

D) that the situation deals with assessing qualitative factors of the workplace or environment

E) that social implications are the guidelines for making a particular decision