A boy is trying to roll a bowling ball up a hill, as shown in the image below. If
friction is ignored, what is the minimum initial velocity that the ball must have
for it to reach the top of the hill? (Recall that g = 9.8 m/s²)
22.5 m
O A. 28 m/s
O B. 7 m/s
OC. 14 m/s
OD. 21 m/s

A Boy Is Trying To Roll A Bowling Ball Up A Hill, As Shown In The Image Below. Iffriction Is Ignored,

Answers

Answer 1

The minimum initial velocity that the ball must have for it to reach the top of the hill is 21 m/s. The correct option is D.

What is mechanical energy?

The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.

M.E = KE +PE

A boy is trying to roll a bowling ball up a hill. The friction is ignored.  The ball must have to reach the top of the hill with a velocity. The acceleration due to gravity, g = 9.8 m/s²

The conservation of energy principle states that total mechanical energy remains conserved in all situations where there is no external force acting on the system.

M.E bottom of hill = M.E on top of hill

Kinetic energy + Potential energy = Kinetic energy  + Potential energy

1/2 mu² + 0 =  0 + mgh

At the top of hill, the velocity will become zero. So, final kinetic energy is zero.

Substituting the values, we have

1/2 x u² = 9.8 x 22.5

u = sqrt [2 x9.8 x 22.5 ]

u= 21 m/s

Thus, the minimum initial velocity that the ball must have for it to reach the top of the hill is 21 m/s.

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Related Questions

What is conflict resolution?
A.) committing to fair play
B.) settling a dispute or disagreement
C.) working toward a common goal
D.)trying your best to win

Answers

Answer:

B) Settling a dispute or disagreement

Explanation:

A conflict is a disagreement or argument between opposing parties.

A resolution is a solution to a problem.

Knowing both these definitions, the answer choice that makes the most sense would be B) Settling a dispute or disagreement.

Hope this helps!!

3. why is the sum of the maximum voltages across each element in a series r l c circuit usually greater than the maximum applied voltage? doesn't that inequality violate kirchhoff's loop rule?

Answers

The sum of the maximum voltages across each element in a series RLC circuit is usually greater than the maximum applied voltage because voltages are added by vector addition.

What is the Kichoff's loop rule?

Kirchhoff's loop rule states that the algebraic sum of potential differences, as well as the voltage supplied by the voltage sources and resistances, in any loop must be equal to zero.

In a series RLCcircuit, the voltages are not added by scalar addition but by vector addition.

Kirchhoff's loop rule is not violated since the voltages across different elements in the circuit are not at their maximum values.

Therefore, the sum of the maximum voltages across each element in a series RLC circuit is usually greater than the maximum applied voltage because voltages are added by vector addition.

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Where are heavier elements, like iron or gold made?
*
1 point
In space, between the stars
in the black holes at the centers of galaxies
In the hearts of stars
They were made as part of the big bang

Answers

Answer:

In the hearts of stars:

Theory tells us the elements heavier than iron are created by novas

that is when a star explodes, and any heavier elements were once created when a star exploded.

If a lever has an input arm of 80 cm and an output arm of 20 cm, what is its ideal mechanical advantage?

Answers

Answer:

16

Explanation:

A crane does exactly 1800 J of work to lift a steel beam from the ground. The beam is accidentally dropped and falls back to its starting position in 0.9 s. What is the mass of the beam

Answers

Answer:

Explanation:

1800x0.9=1620kg

Diverse crops can become vulnerable to pests, disease, and climate change. Which part of this statement is false?

Answers

The statement 'diverse crops can become vulnerable to pests, disease, and climate change' is considered false regarding this last point (climate change).

What is adaptation?

Adaptation is an evolutionary process where a species fits certain environmental conditions.

Plant species are intrinsically vulnerable to climate change because they are adapted to certain climate (temperature) conditions.

In conclusion, the statement 'diverse crops can become vulnerable to pests, disease, and climate change' is considered false regarding this last point (climate change).

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According to Newton's 2nd Law of Motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is
10 m/s/s
10 m/s
100 m/s/s
1 m/s/s

Answers

According to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².

How to calculate acceleration?

The acceleration of a moving body can be calculated by dividing the force of the body by its mass.

According to this question, the mass of an object is 10 kg and the force is 10 newtons, then the acceleration can be calculated as follows:

acceleration = 10N ÷ 10kg

acceleration = 1m/s²

Therefore, according to Newton's second Law of motion, if the mass of an object is 10 kg and the force is 10 newtons, then the acceleration is 1m/s².

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if water completely boils in 7 minutes, how long does it take to evaporate​

Answers

Answer: 20 minutes

Explanation: omm its 20 minutes

if line segment g f = 3.2 ft, which is a possible measure of line segment t s? 1.6 ft 3.0 ft 3.2 ft 4.0 ft\

Answers

By applying the relationship of side lengths to interior angles in a triangle, a possible measure of line segment TS is 4.0 ft.

The relationship of sides to interior angles in a triangle.

In Geometry, the relationship of side lengths to interior angles in a triangle include the following:

The shortest side length is always opposite of the smallest interior angle.The longest side length is always opposite of the largest interior angle.

Based on the above theory, we can logically deduce that angle GF < TS or TS > GF because 42° is greater than 56°.

TS > 3.2 ft.

Therefore, a possible measure of line segment TS is 4.0 ft.

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Complete Question:

In the triangles, TR = GE and SR = FE. If Line segment G F = 3.2 ft, which is a possible measure of Line segment TS? 1.6 ft 3.0 ft 3.2 ft 4.0 ft.

5. Calculate the volume of a cube with the following measurements.
Length= 5 cm
Height = 10 cm
Width = 16 cm
O 31 cubic cm
50 cubic cm
O 800 cubic cm
O400 cubic cm

Answers

V= l • w • h

5•10•16= 800

Answer is 800

a metallic surface is illuminated with light of wavelength 400 nm. if the work function for this metal is 2.4 eV. what is the maximum kinetic energy of the ejected electrons, in electron volts?

Assume that
1 eV = 1.6 * 10^-19
c = 3 * 10^8
h = 6.626 * 10^-34

I already got the answer before and I know that the max kinetic energy is 0.71 eV but when I tried to solve it again, I forgot what to do.

I tried getting the cut off wave lengths and using that combined with the wavelength provided to get the K.E max but it didn't work

Answers

The maximum kinetic energy of the ejected electrons will be 0.71 eV.

What is the kinetic energy of electrons?

The kinetic energy (KE) of electrons is defined as the product of one-half of the mass of the electron to the square of the velocity at which electrons spin in orbit.

Given data;

λ(Wavelength)= 400 × 10⁻⁹ m

Φ(Work function)=2.4 eV

c(Speed of light)= 3 ×10⁸ m/sec

h(Constant) = 6.626 * 10^-34

[tex]\rm \phi = 2.4 eV = 2.4 \times 1.6 \times 10^{-19} \\\\ \rm \phi =3.84 \times 10^{-19} \ J[/tex]

The maximum kinetic energy is found as;

[tex]\rm KE= \frac{hc}{\lambda} - \phi \\\\ KE= \frac{6.64 \times 10^{-34}}{400 \times 10^{-9}} -3.84 \times 10^{-19} \\\\ KE=1.14\times 10^{-19} \ J[/tex]

Unit conversion:

1 eV = 1.6 * 10⁻¹⁹ j

1 J=1/( 1.6 * 10⁻¹⁹) ev

KE=0.71 eV

Hence, the maximum kinetic energy of the ejected electrons will be 0.71 eV.

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The chart shows the times and accelerations for three drivers.

A 3-column table with 3 rows. The first column labeled drover has entries Kira, Dustin, Diego. The second column labeled acceleration has entries 5.2 meters per second, 8.3 meters per second, 6.5 meters per second. The third column labeled time has entries 6.9 seconds, 3 seconds, 4.2 seconds.

Which lists them from greatest to lowest change in velocity?

Dustin → Diego → Kira
Dustin → Kira → Diego
Kira → Dustin → Diego
Kira → Diego → Dustin

Answers

The lists from greatest to lowest change in velocity.Dustin → Diego → Kira. Option A is correct.

What is acceleration?

The rate of change of velocity with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.

The acceleration is obtained one by one from the given data as the ratio of the velocity to the time.

For the acceleration of each, you can refer to the excel table attached below.

The velocity changes are listed from largest to least. Dustin and Diego Kira.

Hence, option A is the right answer.

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Answer:

D. Kira → Diego → Dustin

Explanation:

Got 100% on the test. Y'all have a good day! :p

When electromagnetic radiation strikes perpendicular to a flat surface

Answers

Answer:

a totally absorbing surface feels radiation pressure

Explanation:

When electromagnetic radiation strikes perpendicular to a flat surface, a totally absorbing surface feels radiation pressure

The next closest star to Earth, Proxima Centuri, is 4.25 lightyears away. How far is that in meters?

Answers

Answer:

4.0208 x 10^16 meters

Explanation:

speed of light in m/s   *      # seconds in a year      * 4.25 years =

2.99792 x 10^8   *        3600*24*365.25  *     4.25 = 4.0208 x 10^16 m

A 5000kva 230/13. 8kv single phase power transformer has a resistance of 0. 38 ohms and reactance of 1. 9 ohms

Answers

The reactance of the circuit will be 5.233×10⁻⁴ ohm. Inductive reactance is the product of 2 times π frequency and the coil inductance.

What is reactance?

When alternating electricity passes through pure reactance, it causes a voltage drop that is 90 degrees out of phase with the current.

The letter “X” is used to represent reactance in mathematics, and it is measured in ohms.

The inductive reactance of a coil is calculated using the following formula:

Inductive reactance, or XL, is the product of 2 times p (pi), and the frequency of the ac current in hertz, and the coil inductance in henries.

XL= 2πfL

Where,

f {frequency)

L (Inductance)

The reactance of the circuit is found as;

[tex]\rm R_{new}=0.38[{(\frac{1}{60} )^2][/tex]

[tex]\rm R_{new}=1.055 \times 10^{-4} \ ohm[/tex]

The inductance of the circuit is;

[tex]\rm X_{new}=1.9(\frac{1}{60} )^2\\\\X_{new}= 5.233 \times 10^{-4}\ ohm[/tex]

Hence, the reactance of the circuit will be 5.233×10⁻⁴ ohm.

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L 6.3.2 Test (CST): Applications of Waves Question 5 of 10 Which event provides evidence that matter can reflect waves? O A. An audience member covers her ears during a loud concert. B. A laser beam bounces off a series of mirrors. C. A performer makes shadow puppets on a wall. D. The light from a fireworks show is seen miles away. ​

Answers

An audience member covers her ears during a loud concert shows evidence that matter can reflect waves.

Which event provides evidence that matter can reflect waves?

An audience member covers her ears during a loud concert is an event that provides evidence that matter can reflect waves because a sound is heard again and again due to the reflection of waves. This repetition of sound is due to the property of reflection of sound waves.

So we can conclude that an audience member covers her ears during a loud concert shows evidence that matter can reflect waves.

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Answer:

A laser beam bounces off a series of mirrors

Explanation:

Which form of energy is converted to electrical energy in a voltaic cell?.

Answers

Answer:

chemical energy is converted to electrical energy in a voltaic cell.

Ten minutes after you stop exercising, your heart rate should be (2 points)
equal to your Heart Rate Reserve
in your Target Heart Rate Zone
less than 50 beats per minute
less than 100 beats per minute

Answers

Ten minutes after you stop exercising, your heart rate should be equal to your heart rate reserve

What is Heart Rate Reserve?

This is defined as the heart rate the body decreases to after an exercise session has been done.

This however varies according to age of individuals and is calculated by finding the difference between the maximum and resting heart rate.]

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Gravitation always does negative work. question 48 options: true false

Answers

The statement indicating that 'Gravitation always does negative work' is FALSE.

What is Gravitation?

Gravitation is a fundamental physical force that makes objects attract each other in the Universe.

This force (Gravitation) is required to maintain both constant positions and movement of objects.

In conclusion, the statement indicating that 'Gravitation always does negative work' is FALSE.

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Answer:false

Explanation:

Our galaxy, the milky way, contains approximately 4.0x1011 starts with an average mass of 2.0x1030kg each. how far away is the milky way from our nearest neighbor, the andromeda galaxy, if andromeda contains roughly the same number of stars and attracts the milky way with a gravitational force of 2.4x1030n?

Answers

By applying the law of universal gravitation, the distance between the milky way and the andromeda galaxy is equal to 4.2 × 10¹¹ meters.

Given the following data:

Mass A, m = 4.0 × 10¹¹ kg.Mass B, M = 2.0 × 10³⁰ kg.Gravitational force, F = 2.4 × 10³⁰ Newton.

Scientific data:

Gravitational constant = 6.67 × 10⁻¹¹ m/kg²

How to calculate the distance?

In order to determine the distance between the milky way and the andromeda galaxy, we would apply the law of universal gravitation.

According to the law of universal gravitation, the distance between two astronomical bodies can be calculated by using this formula:

[tex]d = \sqrt{\frac{GmM}{F} }[/tex]

Substituting the parameters into the formula, we have;

[tex]d = \sqrt{\frac{6.67 \times 10^{-11} \times 2.0 \times 10^{30} \times 4.0 \times 10^{11}}{2.4 \times 10^{30}} }[/tex]

Distance, d = 4.2 × 10¹¹ meters.

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The law of conservation of momentum states that, if left alone, what happens to the total momentum of two interacting objects that make up a system?

Answers

Answer:

The momentum of the colliding bodies before and after the collision remains constant.

Explanation:

The momentum is constant.

17.
_______ energy is energy that is stored or waiting to be used.
Mechanical
Kinetic
Electrical
Potential

Answers

I think potential but im not sure

A swimmer swims 20 m in 40 s. The swimmer's average speed is
------------- m/s.

Answers

Explanation:

Average speed=distance/time

=20/40

=0.5m/s

Which quantity is a vector quantity?
A.
displacement
B.
distance
C.
mass
D.
temperature
E.
volume

Answers

Answer:

Displacement...

Explanation:

Displacement is a vector quantity as it have both magnitude and direction...

[tex]...[/tex]

a. displacement is the correct answer

Displacement is a vector quantity

EXPLANATION

Displacement is a vector quantity because it has both magnitude and direction.

Explain how fusion and fission are similar to and different from each other at the atomic level. Explain which
process is currently used at most nuclear power plants around the world and which process occurs on the sun.

Please helpp

Answers

Nuclear fusion and fission involve changes in the nucleus of atom, but nuclear fission is  most  in employed nuclear power plants around the world whereas fusion occurs on the sun.

What are nuclear fission and fusion reactions?

Nuclear fission is a reaction in which the nucleus of large atoms are split into nuclei of two or more smaller atoms.

Nuclear fusion is a reaction in which nuclei of two or more smaller atoms are combined to give an atom of larger nucleus.

Large amounts of energy are involved in both reactions.

The Sun produces energy by nuclear fusion.

However, the most commonly employed method in nuclear power plants is nuclear fission because the necessary conditions required for nuclear fusion have not being developed currently.

Therefore, nuclear fusion and fission involve changes in the nucleus of atom, but nuclear fission is  most  in employed nuclear power plants around the world whereas fusion occurs on the sun.

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-1 A 4m long wire of cross-sectional area 2.5 X 10 m² has a resistance of 5. The conductivity of the wire is (a) 2.5 X 10' m (b) 4.0 X 10' m (c) 2.5 X 10'' m¹ -1 -1 (d) 4.0 X 10''m'​

Answers

Answer:

3.2 [tex]10^{-2} ohm^{-1} m^{-1}[/tex]

Explanation:

Resistance=5 ohm

Length=4m

Cross sectional area=2.5 x 10

Conductivity = 1/ resistivity

                      =[tex]\frac{length}{resistance x cross sectional area}[/tex]

Conductivity=4 /5 x 2.5 x 10

Conductivity=4/125

Conductivity=3.2x[tex]10^{-2}[/tex][tex]ohm^{-1} m^{-1}[/tex]

A boy throws a toy up in the air with an initial velocity of 7.9 m/s at an angle of 37 degrees . what is the maximum height reached by the toy?

Answers

The maximum height reached by the toy at the given velocity and angle of projection is determined as 1.15 m.

Maximum height reached by the toy

The maximum height reached by the toy is calculated as follows;

H = u²sin²θ/2g

where;

u is the initial velocityθ is the angle of projectiong is gravity

H = (7.9² x (sin37)²)/(2 x 9.8)

H = 1.15 m

Thus, the maximum height reached by the toy at the given velocity and angle of projection is determined as 1.15 m.

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A bus starts from rest.if the acceleration is 2m/s square, find
i.the distance travelled
ii.the velocity after 2 seconds.​

Answers

Answer:

The velocity after 2 seconds can be found through:

V = u +a*t

Where V is final velocity, u is initial velocity, a is acceleration and t is time.

V = 0 + 2* 2= 4 meters/second

The distance (s) can be found through:

V^2= u^2 +2*a* s

Where V is final velocity, u is initial velocity, a is acceleration.

4^2= 0^2 + 2 *2*s

16= 0 + 4s

s= 4 meters

Distance (s) can also be found through:

s= ut + 1/2 at^2

s= 0+ 1/2 *2*2^2= 1 *2*2

s= 4 meters

Explanation:

How does gravity relate to potential energy?

Answers

Answer:

the potential energy a massive object has in relation to another massive object due to gravity

Answer:

PE uses the acceleration of gravity in its calculation definition

Explanation:

Potential Energy = mass * acceleration of gravity * height

What is the period of a wave that has a frequency of 300 hz?

Answers

Answer:

T = 0.003 s

(Period is written as T)

Explanation:

Period = time it takes for one wave to pass (measured in seconds)

frequency = number of cycles that occur in 1 second

(measured in Hz / hertz / 1 second)

Period : T

frequency : f

So, if we know that the frequency of a wave is 300 Hz, we can find the period of the wave from the relation between frequency and period

T =  [tex]\frac{1}{f}[/tex]    f = [tex]\frac{1}{T}[/tex]

to find the period (T) of this wave, we need to plug in the frequency (f) of 300

T = [tex]\frac{1}{300}[/tex]

T = 0.00333333333

So, the period of a wave that has a frequency of 300 Hz is 0.003 s

[the period/T of this wave is 0.003 s]

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