A water balloon is thrown horizontally from a tower that is 45 m high. It strikes the shoes of an unsuspecting passerby who is 45 meters east of
the tower. With what magnitude was the balloon's horizontal velocity?

Answers

Answer 1

Answer:

14.85 m/s

Explanation:

From the question given above, the following data were obtained:

Height (h) of tower = 45 m

Horizontal distance (s) moved by the balloon = 45 m

Horizontal velocity (u) =?

Next, we shall determine the time taken for the balloon to hit the shoe of the passerby. This is illustrated below:

Height (h) of tower = 45 m

Acceleration due to gravity (g) = 9.8 m/s²

Time (t) =?

h = ½gt²

45 = ½ × 9.8 × t²

45 = 4.8 × t²

Divide both side by 4.9

t² = 45/4.9

Take the square root of both side

t = √(45/4.9)

t = 3.03 s

Finally, we shall determine the magnitude of the horizontal velocity of the balloon as shown below:

Horizontal distance (s) moved by the balloon = 45 m

Time (t) = 3.03 s

Horizontal velocity (u) =?

s = ut

45 = u × 3.03

Divide both side by 3.03

u = 45/3.03

u = 14.85 m/s

Thus, the magnitude of the horizontal velocity of the balloon was 14.85 m/s


Related Questions

A student is making some changes to a circuit he built. He connected a battery to a circuit that contained a light bulb. He decided to change the light bulb to a higher resistance, but he wanted to keep the current the same. What will he need to do?
A. Increase the voltage by adding a battery with greater volts.
B. It is impossible to change your resistance and keep the current the same.
C. Keep the same exact set up as he originally made.
D. Decrease the voltage by adding a bigger battery with more volts, so the current an flow the same.

Answers

Answer:

B

Explanation:

Makes more sense if you want to keep the current the same>

Answer:

a

Explanation:

thats what i put ithink its wrong tho

What is the acceleration of a 2kg object that experiences 75N of force?

Answers

Answer:

37.5 m/s²

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

[tex]a = \frac{f}{m} \\ [/tex]

f is the force

m is the mass

From the question we have

[tex]a = \frac{75}{2} \\ [/tex]

We have the final answer as

37.5 m/s²

Hope this helps you


Serotonin is a chemical substance that acts as a neurotransmitter. It helps relay
messages in the human brain. The formula for one molecule of serotonin is shown
below.
c10h122N₂0
How many atoms in all are in a molecule of serotonin?

Answers

Answer: 25

Explanation:

A cube of wood exerts a pressure of 2 pa. When it is placed on a floor. What is the force by the cube if its surface is 5 cm²​

Answers

Pressure exerted by the wooden cube = 2 Pa

Surface area of cube = 5 cm² = 0.0005 m²

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Formula of Pressure:

[tex] \boxed{ \bf{P = \dfrac{F}{A}}}[/tex]

P → Pressure

F → Force

A → Surface Area

By substituting values in the formula, we get:

[tex] \rm \longrightarrow 2 = \dfrac{F}{0.0005} \\ \\ \rm \longrightarrow F = 2 \times 0.0005 \\ \\ \rm \longrightarrow F = 0.001 \: N \\ \\ \rm \longrightarrow F = 1 \: mN[/tex]

[tex] \therefore [/tex] Force applied by the cube on the floor = 1 mN

CUAL DE LAS SIGUIENTES LEYES NO PERTENECEN A LOS 3 PRINCIPIOS DE NEWTON? 1.LEY DE LA ATRACCION 2.LEY FUNDAMENTAL DE LA DINAMICA 3.LEY DE ACCION Y REACCION 4.LEY DE LA INERCIA

Answers

Answer:

La Ley de atracción no pertenece a los tres principios de Newton.

Explanation:

Las leyes de Newton son tres principios que sirven para describir el movimiento de los cuerpos, basados en un sistema de referencias inerciales (es aquél que está en reposo o se mueve con velocidad constante, es decir, no tiene aceleración).

Las 3 leyes de Newton son:

Primera Ley o Ley de Inercia : Esta ley enuncia que todo cuerpo permanece en su estado de reposo o de movimiento rectilíneo uniforme a menos que otros cuerpos actúen sobre él. Explica que para modificar el estado de movimiento de un cuerpo es necesario actuar sobre él. Segunda ley o Principio Fundamental de la Dinámica : Esta ley dice que la fuerza que actúa sobre un cuerpo es directamente proporcional a su aceleración.  Es decir, si sobre un cuerpo actúa una fuerza, dicho cuerpo modificará su velocidad, es decir, adquirirá una aceleración. Dicha fuerza y su aceleración generada son proporcionales y están relacionadas mediante:  F=m*a donde F es la fuerza aplicada, m es la masa del cuerpo sobre el que se aplica la fuerza y a es la aceleración adquirida por dicho cuerpo.Tercera ley o Principio de acción-reacción : Esta ley expresa que cuando un cuerpo ejerce una fuerza sobre otro, éste ejerce sobre el primero una fuerza igual y de sentido opuesto.

Entonces, la Ley de atracción no pertenece a los tres principios de Newton.

Ceres is a large asteroid that orbits the Sun between Mars and Jupiter. Ceres has a mass of 9.4 x 1020 kg and a radius of about 4.7 x 10° m.

If a spacecraft attempts to land on the asteroid, what acceleration due to gravity will it experience near the surface?

Answers

Answer:

The acceleration due to gravity near the surface of Ceres is approximately 0.284 m/s²

Explanation:

The given parameters are;

The mass of Ceres = 9.4 × 10²⁰ kg

The radius of Ceres, r = 4.7 × 10⁶ m

By Newton's law of gravitation, we have;

[tex]Gravitational \ force\ on \ the \ spacecraft \ near \ Ceres, \ F =G\dfrac{m_{1}m_{2}}{r^{2}}[/tex]

Therefore;

[tex]Acceleration \ due \ to \ gravity \ g =G\dfrac{m_{1}}{r^{2}}[/tex]

Where;

m₁ = The mass of Ceres = 9.4 × 10²⁰ kg

m₂ = The mass of the spacecraft

G = 6.6743 × 10⁻¹¹ N·m²/kg²

Substituting the values, we get;

[tex]g \ near \ the \ surface \ of \ Ceres = \dfrac{ 6.6743 \times 10^{-11} \times 9.4 \times 10 ^{20}}{(4.7 \times 10^5)^{2}} \approx 0.284 \ m/s^2[/tex]

The acceleration due to gravity near the surface of Ceres ≈ 0.284 m/s²

A ball is thrown horizontally with an initial
velocity of 20 m/s from the top of a tower
60 m high. What is the initial vertical
velocity of the ball?
a. O m/s
b. 20 m/s
c. 3.5 m/s
d. 9.81 m/s

Answers

It’s B I’m not sure it the right one

The initial vertical velocity of a ball thrown horizontally with an initial velocity of 20 m/s from the top of a 60 m high tower is 0 m/s (option a).  

The ball is thrown horizontally, so its velocity will have only components in the x-direction (horizontal). The components of the initial velocity in the y-direction (vertical) will be zero.    

For a ball's velocity to have components in the vertical and horizontal direction, the ball must be thrown at a certain angle to the ground, describing a parabolic movement.

In a parabolic movement, the vertical and horizontal components of the velocity would be:

[tex] v_{x} = v_{i}cos(\theta) [/tex]

[tex] v_{y} = v_{i}sin(\theta) [/tex]

Where:

[tex] v_{i} [/tex]: is the initial velocity

θ: is the angle

Therefore, the initial vertical velocity of the ball is zero (option a).

Find more here:

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I hope it helps you!

1. Using the data table below, model (draw) the orbital motion of the two planets (D and
N).
A. Determine the distance based on the mass and amount of force.
a. In the chart, write 'more' or 'less', then be sure to represent the distance in
your model drawing.
B. Be sure to represent the objects' masses appropriately.
C. Include gravitational force arrows in your model.
D. On your drawing mark where the planet will be increasing and decreasing in velocity
for each planet
Mass
Distance
Gravitational Force
Sun
10
X
X
2
8
Planet D
Planet N
6
3
3
Make sure to attach your drawn model in the space below.

Answers

Answer: 110 N

Explanation: trust me

A flashlight that is powered by 3 Volts and uses a bulb with a
resistance of 68. will have a current of Amps

Answers

Start with the formula V = IR, where V is voltage, I is current, and R is resistance.

The voltage is 3 volts, so V = 3 volts

The resistance is 68 ohms, so R = 68 ohms

We don’t know I, which is the current in amps

Plug in what we know into the ohms law formula:

3 volts = I * 68 ohms

I = 3/68 = 0.044 Amps

How many times more gravitational potential energy would the same lander have on top of a 350-m hill on Earth? It would have times more gravitational potential energy

Answers

Answer:

6

Explanation:

Just did it.

The gravitational potential energy would the same lander have on top of a 350-m hill on Earth is 6.

What is gravitational potential energy?

If an object is lifted, work is done against gravitational force. The object gains energy.

The equation for calculating gravitational potential energy is

GPE =mgh

where, GPE is the gravitational potential energy, m is the mass, h is the change in height and g is the acceleration due to gravity.

The heavier the particle and the higher it is over the ground, the more gravitational potential energy it holds. Gravitational potential energy increments as weight and level increments.

Given is the height of hill h = 350m.

Thus, the same lander will have the the potential energy 6 times more.

Learn more about gravitational potential energy

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HELP MEEEEEEE
Which choice is the smallest in mass? neutron nucleus proton electron

Answers

The answer is electron

Answer:

electron

Explanation:

Johanna took her younger brother to the playground because he likes to swing. Look at the diagram below that shows Johanna pushing her brother on a swing.
12. After Johanna pushes for a while, she begins to feel tired. What type of energy is transformed into the kinetic energy she uses? A. chemical B. electrical C. nuclear D. thermal - Help fast I have my test soon!

Answers

Answer:

A. chemical

Explanation:

the type of energy our body contain is chemical energy and that chemical energy is the one used while pushing the swing.. so I guess it's chemical energy.. based on my knowledge hope this helps.

A woman is applying 300N/m2 of pressure on to door with her hand. Her hand has area of 0.02m2. Work out the force being applied​

Answers

Answer:

6N

Explanation:

Given parameters:

Pressure applied by the woman  = 300N/m²

Area = 0.02m²

Unknown:

Force applied  = ?

Solution:

Pressure is the force per unit area on a body

        Pressure  = [tex]\frac{force}{area}[/tex]

         Force  = Pressure x area

        Force  = 300 x 0.02  = 6N

How do atoms of different non metals stabilize themselves?
Pls help

Answers

Answer:

by taking other atoms that have one shell and putting it i the spot that they need t in

Explanation:

John has gradually added time to his running routine to reach his goal of running a 5k. John has reached his goal of running a 5k without stopping. This achievement is an example of

Answers

Answer:

pursuing a goal

Explanation:

Since there are no answer choices provided I would say that this is an example of pursuing a goal. This is basically all of the tasks and struggles that an individual must go through in order to finally achieve a certain goal. It also involves gradually breaking barriers and pushing forward by increasing the complexity of the tasks until you are able to break through all of them to reach the end-goal that you have been striving for. Which is exactly what John has been doing in this scenario by gradually increasing his running time.

A parallel circuit contains a battery with a voltage of 9 V. The total resistance in the circuit is 18 ohms. Which claim about the current in the circuit can be supported mathematically from the relationships between voltage, current, and resistance? A.
the current flowing through the circuit is 0.5 amps because current is related to voltage and resistance by the formula I = V/R

B.
the current flowing through the circuit is 162 amps because current is related to voltage and resistance by the formula I = VR

C.
the current flowing through the circuit is 27 amps because current is related to voltage and resistance by the formula I = R + V

D.
: the current flowing through the circuit is 2 amps because current is related to voltage and resistance by the formula I = R/V

Answers

Answer:

Its C I fell confident

Explanation:

I took 2 hrs I tried on this for u dont get mad have a wonderful day :D

So the incorrect option is C the current flowing through the circuit is 27 amps because the current is related to voltage and resistance by the formula I = R + V

What is resistance?

Resistance is a measure of the opposition to current flow in an electrical circuit. Resistance is measured in ohms, symbolized by the Greek letter omega (Ω).

Ohms are named after Georg Simon Ohm (1784-1854), a German physicist who studied the relationship between voltage, current and resistance.

Ohm's Law is a formula used to calculate the relationship between voltage, current and resistance in an electrical circuit.

To students of electronics, Ohm's Law (E = IR) is as fundamentally important as Einstein's Relativity equation (E = mc²) is to physicists.

E = I x R

So the incorrect option is C the current flowing through the circuit is 27 amps because the current is related to voltage and resistance by the formula I = R + V

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A car's horn produces a constant frequency of 350 Hz as it passes by Suzy. What is the best estimate of the
frequency Suzy hears after the car passes her?
330 Hz
350 Hz
360 Hz
700 Hz

Answers

Answer:

330 Hz

Explanation:

edg2020

The best estimate of the frequency Suzy hears after the car passes her is govern by doppler effect and it is 330 Hz.

What is frequency?

Frequency is the number of occurrences of a repeating event per unit of time.

What is Doppler EFFECT?

The Doppler effect is the change in frequency of a wave in relation to an observer who is moving relative to the wave source.

According to the Doppler Effect, the frequency observed by an observer decreases for source going away.

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Circle the letter of each factor that determines whether a molecule
is polar or nonpolar.

a. the number of atoms in the molecule
b. the type of atoms in the molecule
c. the number of bonds in the molecule
d. the shape of the molecule

Answers

I believe the answer is C
Hope this helps you

A fire is burning in a fireplace. Where is the radiation?

A. You touch warm bricks next to the fireplace
B. You can feel the heat from across the room
C. Heat is rising up from the chimney

Answers

I think it’s A.
........

please help! also specify if you are saying the question letter or the letter on the track when u answer :)

Answers

B because gravity will pull you down at a faster speed because you’re higher

What is the deceleration of a truck that takes 8.5 seconds to decrease its velocity from 35 m/s to 5 m/s?

Answers

C that is your answer hope this helps

How can the potential energy in magnets be used to create kinetic energy in an object without making contact?

Answers

Answer:  If you move a magnet quickly through a coil of copper wire, the electrons will move - this produces electricity.

Explanation:

How many kilograms in 17,000 mg?

Answers

The answer to your question is 0.017

Location A on the surface of Earth bas a much higher temperature than Location Which statement is most likely true A.Both locations are at the poles B.Both are at the equator C.Location A is at the equator and Location B is the poles D.Location at the poles and location B is the equator

Answers

Answer:

The anwser is b

Explanation:

Answer:

the answer is B

I know  because i just did it

Please get it right!! I'm bad at school there's literally no point in learning this so help please.

Ok the question is....
Which model shows a molecule of a substance that is made up of three elements?

Answers

It’s C or B I’m not sure

A car increases velocity from 30 m/s to 60 m/s in 4 seconds. Calculate the average acceleration of the car over this time.
0.3 m/s2
7.5 m/s2
0.6 m/s2
4.8 m/s2

Answers

Answer:

B.7.5m/s2

Explanation:

average acceleration=change invelocity/time taken

a=(60-30)/4

=7.5m/s2

The average acceleration of the car 7.5 m/s²

The parameters given in the question are;

initial velocity= 30 m/s

final velocity= 60 m/s

time= 4 seconds

The formula that can be used to calculate the average acceleration is

= final velocity-initial velocity/time

= 60-30/2

= 30/2

= 7.5

Hence the average acceleration is 7.5 m/s²

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A stone is thrown horizontally at a speed of 10.0 m/s from the top of a cliff 139.4 m high.
a) How long does it take the stone to reach the bottom of the cliff?
b) How far from the base of the cliff does the stone strike the ground?
c) What is the vertical velocity of the stone when it strikes the ground?

Answers

Answer:

a) 14.2sec

b) 1394m away if horizontal speed never changes

c) 9.8m/s

Explanation:

1. A ball rolls off of a table with a speed of 3.2 m/s. The table is 1.6 m high.
a) When does the ball hit the ground? (time)
b) How far away from the base of the table does the ball travel?
c) With what vertical speed does the ball hit the floor?

Answers

Answer:

Explanation:

for vertical displacement h = 1.6 , let time taken be t , initial vertical velocity = 0

h = ut + 1/2 g t²

= 1/2 g t²

1.6 = .5 x 9.8 x t²

t² = .3265

t = .57 s

b )

velocity in horizontal direction = 3.2 m /s

horizontal displacement

= 3.2 x .57 = 1.82 m

c )

for vertical movement

v = u + gt

= 0 + 9.8 x .57

= 5.58 m /s

Which of the following correctly puts the objects in order by increasing inertia?
A. bird, butterfly, airplane
B. butterfly, bird, airplane
C. airplane, bird, butterfly
D. buttferfly, bird, airplane

Answers

C. Airplane,bird,butterfly

For resonance to occur, the object must experience a frequency equal to its what?


period


wavelength


amplitude


natural frequency

Answers

Answer:

natural frequency

Explanation:

Answer: correct answer is {d}

Explanation: i got it right on my assesment

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