in the movie thelma and louise, the two actresses drove off a cliff at the end. in preparation for the scene, their stunt doubles determined that the cliff was 50.0 m high. the director wants the car to land 90.0 m from the base of the cliff close to the camera location. how fast must the car be traveling in order to land at this location?

(a) The ball cleared the crossbar by 10.23 m.

(b) The ball approaches the crossbar while falling.

The maximum height reached by the ball is calculated by applying the following kinematic equation as shown below;

H = u² sin²θ / 2g

where;

H = (20.2² x (sin 53)²) / (2 x 9.8)

H = 13.28 m

ΔH = 13.28 m - 3.05 m = 10.23 m

The horizontal distance travelled by the ball is calculated as follows;

R = u² sin(2θ) / g

R = (20.2² sin(2 x 53) ) / (9.8)

R = 40 m

Thus, the ball cleared the crossbar and since the maximum height travelled by the ball is far greater than the height of the crossbar, the ball will approach the crossbar while falling.

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The centripetal acceleration of the bike is 2.65 m/s².

Centripetal acceleration is the acceleration of an object moving in a circular track. This acceleration describes the rate of change of tangential velocity with time in the circular track.

The magnitude of the centripetal acceleration, can be determined by applying the formula for net force.

At constant speed, the centripetal acceleration of the bike is given as;

μmg = ma

μg = a

a = μg

where;

a = (0.27) x (9.8 m/s²)

a = 2.65 m/s²

Thus, the centripetal acceleration of the bike increases with increase in velocity.

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Answer:

B.

Explanation:

Chlorine has a charge of is -1 and the atomic number of Chlorine is 17

0.56 A is the current of the secondary coil.

transformer is the device that transfer electric energy from one AC circuit to another.

we know that ;

I ∝ 1/n;

where I IS CURRENT and n is NUMBER OF TURNS.

(I) secondary = X A

(n) secondary = 100

(I)  primary  = 0.04 A

(n)  primary  = 1400

USING THIS-----> I ∝ 1/n;

=>

0.04 A/X A =100/1400

=>X=0.56 A

as the current in the transformer is inversely proportional to the number of turns so 0.56 A is the current in the secondary coil.

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Answer: I think it's 7.60 184

Explanation: If I did my math right it's 7.60 184

The impact force of the car during the collision on the wall is 25,000 N.

According to Newton's second law of motion, the force experienced by an object is proportional to the product of mass and acceleration of the object.

Mathematically, the force experienced by an object is given as;

F = ma

where;

Acceleration of an object is given as;

a = v/t

where;

F = ma

F = m(v/t)

F = (mv)/t

F = (1200 kg x 7.5 m/s) / (0.36 s)

F = 25,000 N

Thus, we can conclude that the force experienced by the car during collision on the wall has a magnitude of 25,000 N. This is also the stopping force of the car.

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The complete question is below;

In a laboratory test, a car of mass 1200 kg is driven into a concrete wall

A video recording of the test shows that the car is brought to rest in 0.36 s when it

collides with the wall. The speed of the car before the collision is 7.5 m/s.  Find the impact force of the car.

Answer:

Leaders are made but ultimately both can be true.

Explanation:

Recent scientific studies suggest that leadership is 30% genetic and 70% learned. These findings propose that leaders are made not born. Ultimately, the answer is that both are true: a person can be born with natural leadership abilities, and someone can learn how to be a good leader at work. Leadership is a set of skills that can be learned by training, perception, practice and experience over time. Leadership learning is lifetime activity. Good leaders seek out development opportunities that will help them learn new skills.

Answer:

Well it's the past which really impacts

Explanation:

Most of the time a leader is made, it's not definite that a person has characteristics of a leader since his/her childhood. It's the impact mostly which determines and the way your parents raised you or are you independent who can solve problems on his or her own. If you have seen the world and have learned lessons from your mistake it's easy for you to have leadership qualities because you know what are the risks of something or is something worth your time.

That's what I think

The push magnitude and the tension of the cord is 5.4 × 10^-4

What is cord ?

cord is the slender flexible material usually consisting of several stands or twisted together.

It is wired coverd in rubber or plastic which connects electrical equipment to an electricity supply.

The free body diagram as per the question with the tension of string T .

The force of gravity ~mg

The force of air ~f

Since the sphere is motionless the net force on it is 0.

And the x and y are the components of the equation are zero

Tsin + 0 = F

Tcos - mg= 0

Where ¥ = 32°

Thus we get

T= (3.9×10^-4 kg ) (9.8m/s^2)/cos32°

= 2.1×3.2×10^-4

Solving T

We can get the F =

(3.2×10^-4)sin 32° =

5.4 ×10^-4

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Only surface waves and shear waves, which require a solid for propagation, are transverse waves. Solids also support longitudinal waves. Fluids like air and water can only support longitudinal waves.That's why people prefer to view sound waves transverse waves rather than longitudinal.

The time  taken for all of the particles to settle to the bottom of the container is 0.18 seconds.

The time of motion of an object is the time taken for the object to travel from its initial position to final position.

Mathematically, the formula for calculating the time of motion of an object is given by;

h = vt + ¹/₂gt²

where;

For, this given question, we have the following parameters;

h = ¹/₂gt²

2h = gt²

t² = 2h/g

t = √(2h/g)

t = √(2 x 0.15 / 9.8)

t = 0.18 s

Thus, we can conclude that, since the height of fall of the particle is small, it will take the particle short time to fall.

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It is a true statement that the three categories that American Imperialism sought to enhance were political, military, and economic.

The term imperialism has to do with a situation in which a country that tends to be more powerful continues to control a smaller country owing to the depends of the smaller country on the larger country for aid even though it is fully independent.

We can see that imperialism continues around the world especially in the developing and the less developed countries and this has continued to be an object of intense debate in many quarters.

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When A1 and -A1 are of the same magnitude but the opposite direction, their total will be zero.

what is vector?

A quantity or phenom with independent property for the both magnitude and direction is called a vector. The term may also refer to a quantity's mathematical or geometrical representation. Velocity, electromagnetic fields, and weight are just a few examples of vectors in nature.

0 is the intersection of line A1 and -A1.

Both the matrices A1 and A2 have the same magnitude, which itself is A

|A1| = A , |A2| = A

the result of A1 and A2 is 3 A

Hence, 3 A = (A2 + A2 + 2A2 cos x)

3A2 = 2A2 + 2A2 cos x

=> 1/2 = cos x

x = 60°

A1 and A2 are at an angle of 60 °.

Now, we must find the product of A1 and -A1. These vectors create a 180° angle.

the product of A1 and -A1 is (A2 + A2 + 2A2 cos 180°

=> √(2A²-2A²)

=> 0

When A1 and -A1 are of the same magnitude but the opposite direction, their total will be zero.

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Kinetic energy of each of the following objects compared like K₃ = K₂ > K₁  or   K₃ = K₂ = K₁.

Kinetic energy of an object of mass, m and speed, v is

K = 1/2 mv²

(1) Given, m = 2kg,  v = 2.5m/s

So, K = 1/2 mv²

K₁ = 1/2 × 2×(2.5)²

K₁ = 6.25 J

(2) Given, m = 1kg,  v = 5m/s

K = 1/2 mv²

K₂  = 1/2 × 1×(5)²

K₂ = 12.5 J

(3) Given, m = 1kg,  Vx = 3m/s,  Vy= 4m/s

v = [tex]\sqrt{Vx^{2} + Vy^{2} }[/tex]

v = 5m/s

K = 1/2 mv²

K₃ = 1/2 × 1×(5)²

K₃ = 12.5 J

Hence, K₃ = K₂ > K₁ or K₃ = K₂ = K₁ .

Kinetic energy is the type of energy which is due motion of an object. Kinetic energy is the product of half of mass and velocity square. Its unit Joule and is represented by J.

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The true statement is that speed and average velocity are both positive.

The term speed has to do with the ratio of the distance that has been covered by a body with time. Now, we know that the distance is a scalar quantity, this implies that we do not take the direction to account anytime that we have to deal with the speed of a body. Thus the speed has been shown to be a scalar.

On the other hand the velocity of a body is the ratio of the displacement to the time taken by the object and the displacement is a vector quantity thus we have to take the direction account when looking at the velocity.

We know that the direction of the velocity changes as it moves round the circle. This implies that the velocity of the body changes and its positive. The speed is also positive.

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ANSWER-wheel turns increasingly angularly in the direction of the person as it approaches them.

Explained: Due to force, torque will result in the following.

torque is equal to force divided by the perpendicular distance and applied in the direction of the subject.

Changes are caused by this torque. in angular momentum

Thus, as a result of new angular momentum pointing more in that direction, the wheel advances in that direction.

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There is a torque created in the wheel as a result of the applied forces. An object's angular momentum will rotate into the wheel as torque has a tendency to modify it.

The person holding the spinning bike wheel lifts it with her right hand and presses it down with her left hand, trying to turn the wheel. as a result, the wheel will experience torque.

The force that can turn an item about its axis is measured as torque. In linear kinematics, force is what makes an object move faster.

The object's mass times its speed is what determines its linear momentum. linear Momentum is a property of any mass-moving object. Because it works with rotating objects, angular momentum only differs in one respect.

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The resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. The formula fr = Fr/N serves as a representation of it.

In terms of math, μ is equal to F/N, where F stands for frictional force and N for normal force. The coefficient of friction has no dimensions because both F and N are measured in units of force (such as newtons or pounds).

The static friction coefficient and the kinetic friction coefficient are the two different types of friction coefficients. While the latter is frequently referred to as the dynamic or sliding friction coefficient, the former is sometimes known as the starting friction coefficient.

A force that holds an object at rest is called static friction. When an object reaches its maximum size, it begins to move. Static friction has an identical magnitude in the opposite direction to any little force applied to an object. If the force is increased, eventually the object will begin to move after the maximum static friction value is reached.

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Answer:

The carrying capacity is defined as the environment 's maximal load, which in population ecology corresponds to the population equilibrium, when the number of deaths in a population equals the number of births (as well as immigration and emigration). The effect of carrying capacity on population dynamics is modelled with a logistic function.

Hence: When food, water, and space used by a population stay stable over

time.

Explanation:

Hope this helps.

There is less atmospheric pressure, molecules face less resistance. Therefore, as it warms up, more gas bubbles will rise, and as a result, less baking powder is needed to create the same rising of the cake.

Two main consequences of low air pressure on baked foods are: They will dry out more quickly because liquids boil at lower temperatures at high altitudes, which causes them to rise more easily and lose moisture faster. Gas bubbles have a tendency to form huge, uneven pockets in a batter or dough as leavening progresses more quickly.

The pressure drops as altitude rises. As a result, as the atmospheric pressure drops, the molecules in the solution just need to overcome the lesser amount of resistance to leave the solution. Consequently, when the temperature required for the molecules to depart the solution drops, the boiling point of solutions also drops. Therefore, it takes longer to prepare food effectively when water boils at a lower temperature because the heat that water stores is lower. When it comes to baking powder, the less baking powder we use, the less resistance the molecules must overcome because to the lower ambient pressure. Therefore, as it warms up, more gas bubbles will rise, which will result in less cake rising.

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A branch of physics called kinematics, which originated in classical mechanics, defines how points, bodies, and systems of bodies move without taking into account the forces that are responsible for their motion.

Let's go over the four basic kinematic equations of motion with constant acceleration:

s = ut + ½at^2 …. (1)

v^2 = u^2 + 2as …. (2)

v = u + at …. (3)

s = (u + v)t/2 …. (4)

where an is acceleration, s is distance, u is beginning velocity, v is final velocity, and t is time.

To determine the horizontal distance traveled in this instance, we first need to determine the time it takes for the ball to fall vertically to the ground.

Knowing u = 0, a = g = 9.81 m/s2, and s = 5 m for the vertical drop, we can use equation (1) to obtain

s = ut + ½at^2

5 = 0 +4.905t^2

t = √(5/4.905) = 1.01s

Now that we have t, we can calculate the horizontal distance.

s = ut + ½at^2

s = 35(1.01) + 0 (no horizontal acceleration) (no horizontal acceleration)

s = 35.35m

The ball thus travels 35.35 meters before striking the ground.

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Answer:

I think it would be multiplied or added.

The resultant speed of the person on the cruise ship is 12.62 m/s.

The resultant speed of an object is the single speed which can effectively represent two or more speed of the object.

The magnitude of the resultant speed of the person on a cruise ship is calculated as follows;

Vr² = Va² + Vb²

where;

Substitute the value of the north speed and east speed to determine the resultant speed of the person on the ship.

Vr  =  √Va² + Vb²

Vr = √[(3.9 m/s)² + (12 m/s)² ]

Vr = 12.62 m/s

Thus, for a person on a cruise ship is doing laps on the promenade deck at a speed of 3.9 m/s to the north and the speed of the ship 12 m/s to the east, the resultant speed is 12.62 m/s.

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The complete question is below:

person on a cruise ship is doing laps on the promenade deck. On one portion of the track the person is moving north with a speed of 3.9 ms relative to the ship. The ship moves east with a speed of 12 ms relative to the water. Find the resultant speed of the person

Driving into a massive concrete wall and driving into a head-on collision with an identical car traveling toward you at the same speed, both does equal amount of damage.

When the car hits into a wall, it comes to a sudden stop. Similarly, if the car hits another identical car with same speed, the same situation occurs in which the car comes to a sudden stop because the momentum of one car will be cancelled by the momentum of the other car. Either way, due to rapid deceleration the car comes to a dead stop.

The damage could have varied if the car travelling towards you had more or lesser speed than your car. Due to the same speed, both the cars had same momentum. If the speed differs, momentum differs and there will be motion after collision resulting in lesser damage in one car than the other.

Therefore, driving into a massive concrete wall and driving into a head-on collision with an identical car traveling toward you at the same speed, both does equal amount of damage.

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Answer:

1. A series circuit consisting of:

12 V electrical source

open switch

two light bulbs

10 Ω resistor

2. A parallel circuit consisting of:

9.0 V electrical source

open switch

three 5.0 Ω resistor

3. A circuit consisting of:

three 1.5 V cells connected in parallel

open switch

two light bulbs connected in series

two 15 Ω resistor connected in parallel

4. Draw a circuit diagram consisting of a

9.0 V battery, an ammeter, and a 25 Ω

resistor in series. Include a voltmeter

that is measuring the potential difference

across the resistor.

5. Draw a circuit diagram consisting of a

battery made up of two 1.5 V cells, one

closed switch, two lamps, and an

ammeter in series. Show the direction in

which the current flows.

6. Draw a circuit diagram consisting

of a battery made up of four 1.5 V

cells, one closed switch, one lamp, two

0.50 Ω resistors in series, and a

voltmeter.

Show the direction in which

the current flows.

The total displacement change from s=+2cm to −5cm, then to +12cm is + 7 cm

Displacement = Final position - Initial position

Final position = + 2 - 5 + 12 cm = + 9 cm

Initial position = + 2 cm

Displacement = ( + 9 ) - ( + 2 )

Displacement = + 7 cm

Displacement is the instantaneous distance between initial and final position. It is a vector quantity. So adding a sign is necessary for displacement.

Therefore, the total displacement change is + 7 cm

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The energy the bullet have when it leaves the barrel is 2000 J

The energy of the bullet when it leaves the barrel can be obtained as illustrated below:

Energy is defined as the ability to do work.

Energy (E) = Work (W)

Work (W) = force (F) × distance (d)

W = Fd

Thus,

E = W = Fd

E = 4000 × 0.5

E = 2000 J

From the above calculation, we can conclude that the energy of the bullet is 2000 J

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The molecules receive more energy and move faster after they have been heated up.

The term conduction has to do with the process by which heat is transferred along a body by the movement of the particles of the substance. There are three main modes of heat transfer and these are;

Now, we can see that before the flame was introduced, the molecules of the substances all maintained the same average position. The molecules do not move except there is a supply of energy.

Now, when we turn on the flame, we would notice that we have imparted additional energy to the particles that are in the solid when we heat it up. As such, the particles move more freely and we can see that  as the motion of the particles in the image. The portion that shows the particles after the heating shows that they are now translating.

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It is a multistep plan or strategy that allows you to achieve your goals.

1.

When a student pulls a cart towards the right on a rough surface, the direction of the frictional force acting on the cart will be to the left in the opposite direction of motion of the cart.

Frictional force is a force that acts to oppose the motion of an object moving over another object.

Frictional force is a contact force as it requires contact between the two surfaces.

Frictional force acts at the surface of separation of the objects.

Frictional force causes wear and tear in moving parts of machinery.

However, frictional force enables the movement of objects over flat surfaces, for example, it aids in walking.

In conclusion, frictional force acts in an opposite direction to the motion of an object moving over another object.

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The threshold frequency for this metal is, based on its photoelectric effect, [tex]2.11x10^{15} Hz[/tex].

The threshold frequency of the metal is the frequency of electromagnetic radiation that would cause its kinetic energy to be equal to 0. Using the photoelectric effect, the threshold energy can be calculated from the difference between the photon energy invested and the electron's kinetic energy, because the excess energy invested is transformed into kinetic energy. With that in mind, the energy of the photon is:

E = hc/λ = hν
where h is Planck's constant, c is the speed of light, λ is the wavelength of the photon and ν is the frequency of the photon.

[tex]E = 6.626x10^{-34}Js * 3x10^{8}m/s / 75.9x10^{-9}m = 2.62x10^{-18} J[/tex]

Because 1 eV is equal to [tex]1.602x10^{-19}[/tex] J, the kinetic energy of the electron is:

[tex]7.60 x 1.602x10^{-19}J = 12.1752x10^{-19}J = 1.22x10^{-18} J[/tex]

The threshold energy is:

[tex]2.62x10^{-18}J-1.22x10^{-18}J = 1.40x10^{-18}J[/tex]

Now, because E = hν, then ν = E/h, so the threshold frequency will be:

[tex]1.40x10^{-18} J/6.626x10^{-34}Js = 2.11x10^{15}Hz[/tex]

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The velocity of the car after 8 seconds of the drive will be 20.0066 miles/hr.

Acceleration is defined as the rate of change of velocity with respect to time.

Given that you are driving your car at 20 miles per hour and then accelerate at a rate of 3 miles per hour every second.

We can calculate the acceleration using the formula -

a = Δv/Δt

a = (v - u)/t

Now -

t = 8 seconds = 0.0022 hrs

Then -

3 = (v - 20)/0.0022

3 x 0.0022 = v - 20

v = 20.0066 miles/hr

Therefore, the velocity of the car after 8 seconds of the drive will be 20.0066 miles/hr.

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