Use the graph to complete the sentences about two runners.

Runner A is
than runner B.

Runner
has a head start.

Answer:

It will cover a distance of 90.155 m.

Explanation:

For the first case, using the kinematic equation 3,

v^2-u^2=2as

Here v=0, u=50 km/h which is 13.88 m/s and x=10 m. so

0-(13.88)^2=2*a*10

a=9.63 m/s^2

For the second case, u=150 km/h which is 41.67 m/s.

If the acceleration is same for this case, then using the same kinematic equation.

0-(41.67)^2=2*9.63*s

s=90.155 m

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(a) The trip covers a total distance of 6.0 + 4.0 + 2.0 = 12.0 km, so the jogger's average speed is (12.0 km)/(2.0 h) = 6.0 km/h.

(b) The jogger undergoes a total displacement given by the vector

(6.0 km) i + (4.0 km) j + (-2.0 km) i = (4.0 km) (i + j)

where i is the unit vector pointing due East and j is the unit vector pointing due North. This vector has magnitude

||(4.0 km) (i + j)|| = (4.0 km) √(1² + 1²) ≈ 5.7 km

so the jogger's average velocity is approximately (5.7 km)/(2.0 h) ≈ 2.8 km/h.

Answer:

B

Explanation:

Angular speed=velocity/radius

5/0.85=5.9

Our culture greatly influences our moral decisions because the culture give us the way of living.

Moral judgments and behaviors are dependent on the culture. We learn our behaviour and way of living from the culture that is present in our surrounding environment.

Sub-layer cultural is the layer that have played a part in constructing your sense of right and wrong because we grown up in this layer of culture.

So we can conclude that Our culture greatly influences our moral decisions because the culture give us the way of living.

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Work done by the friction force is 110.77 J

Calculation of friction force:

here box has mass, m=5.9 kg

It slides the distance of, d=9.3 m

coefficient of kinetic friction is 0.206

Now we can say that,

net force on the object is applied force and friction force

The net force according to Newton's second law:

F(net)=m*a

F(applied) - f(friction) = m*a

The work done by friction force will be

W= -k*mg*d

here g is gravitational acceleration.

substituting the values we get,

W=-(0.206)*(5.3)(9.8)*(9.3)

W= -110.77 J

negative sign denotes the opposite direction.

work done by the friction force is 110.77 J

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If the hoist tower isn't enclosed, the hoist platform must be totally enclosed on all sides for the full height between the floor and the overhead protective covering.

A hoist tower can be defined as temporary elevator shaft made of scaffolding that is constructed and used to provide pathways for hoisting materials during a building-construction work.

According to the Occupational Safety and Health Administration (OSHA), the hoist platform must be totally enclosed on all sides for the full height between the floor and the overhead protective covering when the hoist tower isn't enclosed.

In conclusion, the hoist platform must be totally enclosed on all sides in order to prevent a potential injury to construction workers or an accident during a building-construction work.

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911.4N is the air resistance force acting upward on the falling box.

The constant or the highest speed that an object reaches when it falls through a liquid or gas is referred to as terminal velocity.

At terminal velocity,

The Upward force acting on an object(F) = Weight of the falling object(W).

Due to the fact that the two forces are acting in opposing directions, there is no net force acting on the item, and that's why the speed of the object becomes constant.

The Formula used to calculate the Upward force

F = mg...….. Equation(1)

where,

m = total mass of the box

g = acceleration due to gravity = 9.8 [tex]m/s^{2}[/tex]

F = Air resistance force acting upward on the box

Given:

The box with its contents now has total mass of 93Kg

m = 93 kg

g = 9.8 m/s²

Substitute the values into equation (1)

F = 93×(9.8)

F = 911.4 N

Hence, the magnitude of the air resistance force acting upward on the falling box is 911.4N

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The velocity of the cart at the bottom of the ramp is 6.42m/s

Given that 40N cart slides  from rest down a rough 6.0 m long ramp and the degree given is 30 and the friction force given is 6.0N

We need to find the  velocity of the cart at the bottom of the ramp

One of two types of energy is known as potential energy and is the latent energy present in an item at rest.

According to the rule of conservation of energy, energy can only be transformed from one form of energy to another and cannot be generated or destroyed.

Potential energy of the crate at the top =40N×6sin30°m=120J

Energy lost due to friction =6N×6m=36J

Let the speed of the crate at the bottom be v.

Applying the law of conservation of energy,

120−36=0.5×(40/g)×v2

Therefore,

v=6.42m/s

Hence the velocity of cart at the bottom of the ramp is 6.42m/s

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To reach 01.kg/L concentration of salt in the tank will take around 18.9 min.

The concentration of a solution is a measure of the amount of solute that has been dissolved in a given amount of solvent or solution.

A concentrated solution is one that has a relatively large amount of dissolved solute. A dilute solution is one that has a relatively small amount of dissolved solute.

The concentration ,C(t) of salt at time t is given by the mass x(t) at time t divided by the volume t + 100 at time t.

That is C(t) = x(t)/ (t+100)

So that,

C(t) = 0.2 -  [tex]\frac{2 * 10^4}{(t + 100)^4}[/tex]

The concentration of salt is 0.1 kg/L ,

we solve C(t) =0.1 ,

Giving the equation,

0.10.2 - [tex]\frac{2 * 10^4}{(t + 100)^4}[/tex]

t = [tex]100\sqrt[4]{2} -100[/tex]

≈ 18.9  minutes

Therefore,

To reach 01.kg/L concentration of salt in the tank will take around 18.9 min.

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The adhesion forces between mercury and glass are far weaker than the cohesive forces between mercury atoms causing the meniscus in the capillary tube to be lower than the meniscus in the beaker.

The force operating at a border between two phases is measured as surface tension.

Surface tension at liquid-air interfaces is caused by the higher attraction of liquid molecules to each other than air molecules.

Due to the relatively strong attraction of water. Hence molecules of water have high surface tension.

Because the water wets the glass and seeps up the tube's side when it is contained in a glass tube, the meniscus of the water has a concave form.

The cohesive forces between mercury atoms, on the other hand, are far stronger than the adhesion forces between mercury and glass.

The meniscus in the capillary tube is, therefore, higher than the meniscus in the beaker, but with mercury, the meniscus in the capillary tube is lower than the meniscus in the beaker.

Hence, the meniscus in the capillary tube is lower than the meniscus in the beaker

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The temperature increase that is necessary to increase the power radiated from an object by a factor of 8 is to increase the temperature by a factor of 1.68.

Radiation is the emission of energy in the form of waves or particles through space.

The magnitude of radiation emitted by an object is given as;

E = kσT⁴

where;

E₁/T₁⁴ = E₂/T₂⁴

T₂⁴ = T₁⁴E₂/E₁

T₂⁴ = T₁⁴(8E₁) / E₁

T₂⁴ = T₁⁴8

T₂ = (T₁⁴8)^(¹/₄)

T₂ = 1.68T₁

Thus, the temperature increase that is necessary to increase the power radiated from an object by a factor of 8 is to increase the temperature by a factor of 1.68.

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The magnitude of the second charge needed to propel the first charge is 6,250 C.

The magnitude of the second charge is calculated by applying Coulomb's law as follows;

F = kq₁q₂/r²

where;

Fr² =  kq₁q₂

q₂ = Fr²/kq₁

q₂ = (100 x 750,000²)/(9 x 10⁹ x 1)

q₂ = 6,250 C

Thus, the magnitude of the second charge needed to propel the first charge is 6,250 C.

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Answer:

F=Gm1m2 / r2

Explanation:

F = force

G = gravitational constant

m_1 = mass of object 1

m_2 = mass of object 2

r = distance between centres of the masses

answer is in the attachment

☆...hope this helps...☆

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The work done by the electrostatic force on the moving point charge is 1.014 J.

d = √[(0.23 - 0.17)² + (0.27 - 0)²] = 0.277 m

F = kq₁q₂/r²

where;

F = (9 x 10⁹ x 2.4 x 10⁻⁶ x 4.9 x 10⁻⁶)/(0.17)²

F = 3.66 N

W = Fd

W = 3.66 x 0.277

W = 1.014 J

Thus, the work done by the electrostatic force on the moving point charge is 1.014 J.

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When we jump from the truck and accelerate towards the earth surface, the earth also accelerates towards us but it's acceleration is very negligible.

To find the answer, we need to know about the acceleration of earth due to the gravitational attraction.

m= mass of the person

r= separation between them.

so acceleration of earth= Gm/r²

Thus, we can conclude that the earth also accelerates towards us.

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An average velocity can be defined as the total distance covered by a physical object divided by the total time taken.

Mathematically, you can find average velocity (Vaverage) from acceleration (a) and time (t) by using this formula:

Average velocity = acceleration × time

Vaverage = at     .......equation A.

Also, you can find distance (d) from average velocity (Vaverage) and time (t) by using this formula:

Distance = average velocity × time

d = vt        .......equation B.

Now, putting the two equations together and substituting the Vaverage term in equation B:

d = (at) × t

d = at²

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Complete Question:

A. How do you find average velocity (Vaverage) from acceleration (a) and time (t)?

B. How do you find distance (d) from average velocity (Vaverage) and time (t)?

C. Now put the two equations together. Substitute your result in equation A for the (Vaverage) term in equation B. Your final equation should only have d, a, and t terms.

Answer:

Every object on the surface of the earth is pulled towards its surface because of a force known as the gravitational force. It is a force of attraction that exists between any two objects with mass.

The gravitational force of the earth pulls every object towards the surface of the earth. Because of this, an object free in the air is accelerated. The acceleration caused by the gravitational force is known as the acceleration due to gravity.

The magnitude of the acceleration is constant in a downward direction.

Acceleration is the rate of change in velocity.

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Answer:

The answer to the question lies in the character of God. God is either finite or infinite. If God is finite and limited, then God could make a rock He could not lift. If God is unlimited in power, then He could create a rock of any size and weight and still be able to lift it.

Explanation:

Betelgeuse is a supergiant star that by mass is classified as a high-mass star.

What is a celestial body:

Celestial bodies are natural objects that are a part of the massive universe. Even though the universe has vast expanses of empty space, it is inhibited by them. The following are the 7 categories in which the celestial bodies are classified in:

Thus, as Betelgeuse is a supergiant star that will eventually result in a supernova it is classified as a high-mass star.

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The football must have the speed of 0.03 m/s to have the same momentum.

What is momentum conservation:

here,

mass of football, m1 = 150 kg

mass of bullet, m2 = 15 g = 0.015 kg

speed of bullet, v2 = 300 m/s

According to conservation of momentum:

substituting the values in equation,

150* v1 = ( 0.015 )* (300)

v1 =  0.03 m/s

Hence,

The football must have the speed of 0.03 m/s to have the same momentum.

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0.32 km

How to reach the answer:

The formula below provides the tsunami's speed in response to the query.

s = 356√d

when the tsunami's speed is 200 km/h, the equation's "s" is changed to "200," and the equation of speed is then expressed as follows.

200 = 356√d

The equation can be changed to compute the depth of the water as,

√d = 200÷356

√d = 0.562

Now on squaring both sides:

(√d)² = (0.562)²

d = (0.562)² = 0.316 or 0.32

Therefore the approximate depth of water for a tsunami travelling at 200km/h is 0.32 km

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The torque required for the cylinder is 76.99 N m.

What is torque?

Torque may be defined as the product of the force and the distance perpendicular to the force from the axis of rotation.

Calculation of the angular acceleration:

The first kinematic equation for the rotational motion is,

ω=ω₀+αt

where ω₀ is the initial angular velocity, ω is the final angular velocity, α is the angular acceleration and t is the time. Since the cylinder starts from the rest, its initial angular velocity is zero.

Here, ω=320 rev/min or ω=320*2π/60 rad/sec, ω₀=0 and t=8.00 sec. Put these values in the above equation and solve it to get the value of angular acceleration.

320*2π/60=0+α*8

α=320*2π/(8*60)

α=4.19 rad/s^2

Calculation of the torque:

The torque T is given by the formula,

T=Iα

where I is the moment of inertia.

For the cylinder, I=1/2*mr^2

where m is the mass of the cylinder and r is the radius of the cylinder.

So,

T=1/2*mr^2*α

Here m=75 kg, radius r is half of the diameter r=1.4/2=0.7 m, and α=4.19 rad/s^2. Using these values in the formula of torque.

T=1/2*(75)*(0.7)^2*4.19

T= 76.99 N m

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The electric energy stored per unit cubic meter is 7.5×10^(-8) joule/m³.

To find the answer, we need to know about the electric energy density.

In a vacuum where the permittivity is 8.85× 10^(-12), the electric energy density is 1/2 ×ε₀ ×E²

Energy density= (1/2)× 8.854×10^(-12)×130²

                          = 7.5×10^(-8) joule/m³

Thus, we can conclude that the energy density is 7.5×10^(-8) joule/m³.

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The object will remain at rest

Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

Here net force is zero

An object with a net force of zero acting on it will remain at rest, if initially at rest, or it will maintain a constant velocity.

F=MA

Force F=0

Than Acceleration A=0

With zero Acceleration stationary object  will remain at rest.

Hence Remain at rest is the correct answer

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Answer:

B causes and effects

Explanation:

because florida have nitrate pollution

Explanation:

torque is just a force that acts off-center and causes an object to spin. Practically every quantity in translational motion has a rotational equivalent. Instead of linear acceleration, we have rotational (or angular) acceleration. Instead of forces, we have torques.

Answer:

M au = Fs - M g       au = upwards acceleration; Fs = scale reading

Fs = M (au + g)    scalar quantities where g is positive downwards and au is positive upwards - Fs is the net force acting on the person

If the acceleration is zero Fs = M g  and the scale reads the persons weight

If the elevator is decelerating then au is negative and the scale reading     Fs = (g - au) M     and the scale reading is less than the weight of the person