explaining how your energy system works. Make sure to explain how your system captures energy from rescue workers’ bodies to power equipment during rescue missions. Try to use the words in the Word Bank above.

The time taken by the ball to reach the maximum height when ball is thrown straight upward is t = 1.5s.

To find the time we must know the distance so to calculate the distance using formula,

v² = u² + 2 as

where,

v is final velocity

u is initial velocity

a is acceleration due to gravity

s is distance

As, we can see,

u = v = 30m/s

a = - 9.8 m/s²

s = ?

So, putting the values we get,

30²m/s = 30²m/s + 2 (9.8 m/s²) s

s = 30²m/s / 30²m/s + 2 (-9.8 m/s²)

s = 19.6

Now after getting to know the distance we can use the formula,

s = d/t

Where,

s is speed

d is distance

t is time

So, putting the values,

t = 30 / 19.6

t = 1.5s

Hence, the time taken by the ball to reach the maximum height is 1.5s.

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The mass of the cart is 30kg

Using Newton's formula which states that Force is given as product of mass and acceleration.

The force is given to be 60N

The acceleration is given to be 2 m/s^2

Using the formula

F=ma

Putting the values of formula,

60 = m x 2

m = 30 kg

Hence the mass of the cart is 30kg

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if a fighter hits a punching bag and brings it from rest up to a speed of 40 m/s in 0.08 s, Then the force of impact on the punching bag if its mass is 100 kg would be 50000 Newtons,

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

The impact of the force on the punching bag = momentum/time

                                                                           =100×40 / 0.08

                                                                           =5000 Newtons

Thus, the force of impact on the punching bag would be 50000 Newtons.

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The centripetal acceleration of the Ferris wheel with radius of 14.0 m is determined as 2.57 m/s².

Centripetal acceleration,  is the acceleration of a body moving a circular path.

The centripetal acceleration of the Ferris wheel is calculated as follows;

a = v²/r

where;

a = (6²) / (14)

a = 2.57 m/s²

Thus, the centripetal acceleration of the Ferris wheel is determined as 2.57 m/s².

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The complete question is below:

A Ferris wheel has a radius of 14 m, the linear speed of a passenger on the rim is 6 m/s .Find the centripetal acceleration of the Ferris wheel.

Answer:

D

Explanation:

the amount of potential energy is dependents on the weight and the hight and gravitational energy being forced onto a object.

The correct answer is :

In octal,

Decimal         16  17   18  19  20  21  22 23  24  25  26  27  28  29  30 31  32

Octal             20  21  22  23 24  25 26 27  30  31   32  33  34  35  36 37  40

Hexadecimal 10   11   12  13  14   15  16  17   18   19   1A   1A   1C  1D  1E  1F  20

Decimal   8  9  10 11  12 13  14  15  16  17  18  19  20 21  22  23 24 25 26 27 28

Base13     8  9  A  B  C  10  11  12  13   14  15  16  17  18  19   1A  1B  1C 20 21 22

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The precise way a researcher measures and defines a variable is known as the operational definition.

The researcher measures the dependent variable and the independent variable is manipulated and controlled by the researcher ( Experimenter ). The concept of operational definition is applied in various fields such as Philosophy, Science, Business, computing etc.

To explain this clearly, let's consider an example in which the researcher tries to define sleep deprivation. In this sleep deprivation is the independent variable and factors causing sleep deprivation such as food, lifestyle, etc are dependent variables.

Therefore, the precise way a researcher measures and defines a variable is known as the operational definition.

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The erosion of the limestone can result in all the following landforms except ridges.

weather -

Limestone - It is type of  minerals that could occur at a given place.

The presence of the limestone in a place is able to change or alter the landform or the arrangement of the land in a given area.

Some of these changes are very much significant and can be easily observed in an area where there is a Limestone bedrock. Landforms could be a characteristic of a place and we know that it could be used to identify a given area.

The erosion of the limestone can result in all the following landforms except ridges.

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Answer:

B. Ridges

Explanation:

Proof shown below

Answer:

PN=P1+P2+P3.......................PN

The magnitude of the total displacement is 20.28 m.

The angle of the total displacement with the x axis is 70.5⁰.

The total displacement of the player is calculated as follows.

Apply cosine rule as shown below;

d² = d₁² + d₂² - 2d₁d₂ cos(θ)

d² = (24.1)² + (7.9²) - (2 x 24.1 x 7.9) cos(52.5)

d² = 411.42

d = √411.42

d = 20.28 m

Apply sine rule as shown below;

d/sinD = d₂/sinD₂

20.28/sin(52.5) = 7.9/sinD₂

25.562 = 7.9/sinD₂

sinD₂ = 7.9/25.562

sinD₂ = 0.309

D₂ = sin⁻¹(0.309)

D₂ = 18⁰

angle with x axis =  18⁰ + θ

                            =  18⁰ +  52.5⁰

                            = 70.5⁰

Thus, the magnitude of the total displacement is 20.28 m.

The angle of the total displacement with the x axis is 70.5⁰.

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The time taken for the object to travel the given height is determined as 12.48 seconds.

Time of motion of an object is the total time taken by the object to travel a given height or distance.

The time of motion of the boulder is calculated as follows;

h = vt + ¹/₂gt²

where;

1300 = 43t  +  0.5(9.8)t²

1300 = 43t + 4.9t²

4.9t² + 43t - 1300 = 0

solve the quadratic equation using formula method as shown below;

a = 4.9, b = 43, c = -1300

t = 12.48 seconds

Thus, the time taken for the object to travel the given height is determined as 12.48 seconds.

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The sum of the vectors is shown in the image attached to this answer.

A vector quantity is a quantity that has both magnitude and direction. In effect, as we try to obtain the combination of the vector we also have to consider the direction. The vectors are often shown  by the use of a bold face or by the use of an arrow over the sign of the vector.

Now looking at this vectors, we know that the sum of the vectors can only be obtained geometrically but the arrows of the vectors must have to point in the appropriate directions for the correct  sum to be obtained.

Thus the sum of the vectors is shown in the image attached to this answer.

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Answer:

I think it's B but I'm not 100% sure

The spring constant is 542 N/m.

The height the ball reaches is 37.5 m.

The angular speed of the ball is calculated as follows;

ω = 2π/T

ω = (2π) / (0.13)

ω = 48.33 rad/s

The spring constant is calculated as follows;

ω = √(k/m)

ω² = k/m

ω²m = k

(48.33² x 0.232) = k

542 N/m

v = ωL

v = 48.33 x 0.56 m

v = 27.1 m/s

h = v²/2g

h = (27.1²) / (2 x 9.8)

h = 37.5 m

Thus, the spring constant is 542 N/m.

The height the ball reaches is 37.5 m.

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In order to determine the amount of time it would take the arrow to travel upward, we would have to first determine its initial velocity by using the second equation of motion.

Note: Since the arrow was projected upward, the acceleration due to gravity would be negative because it indicates deceleration.

From the second equation of motion, we have:

S = ut - ½gt²

39.9 = u(1.87) - ½ × (-10) × 1.87²

39.9 = 1.87u + 17.49

1.87u = 39.9 - 17.49

1.87u = 22.41

u = 22.41/1.87

Initial velocity, u = 11.98 m/s.

Now, we can calculate the amount of time it would take the arrow to travel upward by applying the first equation of motion:

V = u + at

0 = 11.98 + (-10)t

10t = 11.98

t = 11.98/10

Time, t = 1.198 seconds.

In order to calculate the maximum height, we would apply the second equation of motion:

S = ut + ½gt²

S = 11.98(1.198) + ½ × (-10) × 1.198²

S = 14.35 - 7.18

Maximum height, S = 7.17 meters.

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Answer: 0.15 Tm, 150000000 km

Explanation:

150,000,000,000m  to km=150000000 km (divide by 1000)

150,000,000,000m  to Tm=0.15 Tm

A. When an object's acceleration vector points in the same direction as its velocity, the object speeds up without turning.

The average acceleration vector is defined as the rate at which the velocity changes with time.

When an object is slowing down, the acceleration of the object is in the opposite direction as the velocity.

Also, when an object is speeding up, the acceleration of the object is in the same direction as the velocity.

Thus, when an object's acceleration vector points in the same direction as its velocity, the object speeds up without turning.

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For any freely falling item, the acceleration in the kinematic equations is -9.8 m/s/s, whether or not this is explicitly stated.

The supplied problem informs us that a ball was dropped and is supposed to be falling freely. Since the problem does not specify whether any other forces were present to influence the ball's motion, we must assume that the initial speed is v0=0 m/s.

Free-falling accelerates at a rate of 9.8 m/s2, which is referred to as the acceleration owing to gravity because it is being drawn towards the center of the earth. This indicates that a=9.8m/s2 is the value of the initial and final accelerations.

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Answer: kfhfjffhfjfvfh.

Explanation: hfhvfffhfhf.

To determine how classroom temperature affected test performance of students an experiment was conducted with each group of students in hot room, cold room and a room with normal temperature.

• Dependent variable- Test performance

• Independent variable- Room temperature

• Control variables/Constants - Group of students

• Control group – Students in the room with normal temperature

Test performance depends on the temperature of the room.

Room temperature is an independent variable that does not depend on any factor

Students were the constants in the experiment

Among the students, students in normal temperature room is the control group as they were placed just to check the correctness of the experiment.

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The correct answer is to describe an object's perceived size and describing its position in space. Degrees (°) are used to express angles. A complete circle has 360 °, whereas a straight angle has 90 °. For instance, there is a 90° angle between the horizontal direction (toward the horizon) and the vertical direction (directly above you). The full moon's angular diameter in the sky is around 1/ 2°.

Triangle Units

Divide a complete circle into 360 degrees. Divide a degree into 60 arcminutes, also known as minutes of arc (abbreviated as 60 arcmins or 60'). Divide an arcminute into 60 arcseconds, also known as seconds of arc (abbreviated as 60 arcsec or 60).

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If a car decreases in speed to a stop from an initial speed of 21 m/s in a period of 13 s, the average acceleration is 1.62m/s².

The acceleration of a moving body can be calculated by dividing the change in velocity (∆V) by the time taken. That is;

a = v - u/t

Where;

According to this question, a car decreases in speed to a stop from an initial speed of 21 m/s in a period of 13 s. The average acceleration is as follows:

acceleration = 21 - 0/13

acceleration = 1.62m/s²

Therefore, if a car decreases in speed to a stop from an initial speed of 21 m/s in a period of 13 s, the average acceleration is 1.62m/s².

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A master's thesis and a dissertation are typically required for clinical psychology programs. Each of these typically takes one to two years.

Psychology doctoral degrees provide students with the training they need to pursue careers in academic research, professional practice, or both. The most common academic degrees awarded are the Doctor of Philosophy (PhD) or the Doctor of Psychology (PsyD). There are notable disparities between the types of training and professional goals of those with these degrees, even though each is intended to engage students in deep knowledge and abilities within an area of psychology. Understanding these variations is the first step in determining which curriculum is the greatest fit for a particular student.

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The speed of the racehorse increases by 27m/s.

Speed, expressed in terms of meters per second, is the rate at which an object's location changes. An item moves one meter in one second, for instance, if it starts at the origin and moves three meters in three seconds. A simple division of time by distance yields the equation for speed. To calculate speed, divide the distance traveled (say, 3 meters) by the passing time (say, three seconds) (one meter per second).

Speed is measured as distance moved over time.

Speed =  Distance/Time

We can also use these symbols:

Speed =  Δs/Δt

Speed is commonly measured in meters per second (m/s or m s-1), or kilometers per hour (km/h or km h-1)

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2197 m far behind the train is the automobile when it reaches the speed of 28.8 m/s, assuming that the train speed has remained at 28.8 m/s

s₁=v²/2a₁=28.8²/2•4=103.7 m.

Automobile:

s=s₁+s₃=103.7+262.5=366.2

t= t₁+t₂+t₃=7.2+63.8+18.2 = 89 s.

Train:

S=v •t=28.8•89=25 63.

Δs=S-s =2563.2-366.2=2197 m

The study of motion in a system of bodies is called kinematics, which does not directly take into account the forces or potential fields influencing the motion. In other terms, kinematics investigates the distribution of momentum and energy among interacting entities.

Understanding the causes of various motions of an item, such as rotational motion in which the object receives force or torque, is the main goal of kinetics. The definition of concepts like acceleration, velocity, and location of objects is provided by kinematics.

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2,302.74 J is the heat generated.

Current electricity is the electricity produced by the movement of electrons. Static electricity is the electricity that accumulates on a substance's surface. Power plants and batteries are used to produce the current electricity.

Electric current in a wire, where electrons serve as the charge carriers, is a measurement of the amount of charge that moves through any point of the wire in a given amount of time.

The mass of the aluminum is m = 0.25 kg.

The difference in temperature is T=10 C.

The following is a list of aluminum's specific heat capacities:

c=921.096 J/kg∘C

Therefore, we apply the following formula in this instance:

Q=mcΔT

We replace with:

Q=(0.25kg)(921.096J/kg∘C)(10∘C)

Thus, we will receive the heat produced:

Q=2,302.74 J

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Answer:

The more mass the more kinetic energy it has

Explanation:

like a plastic ball and a metal one the metal one will fall faster.

hope this helps