At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three different directions. As a result, three forces act on the ball, F1, F2, and F3. The magnitudes of F1 and F2 are F1=50.0N and F2=90.0N. F1 acts under the angle of 60degrees with respect to the x axis and F2 is directed along the x-axis. Find the magnitude and direction of F3 such that the resultant force acting on the ball is zero.

Answers

Answer 1

Answer:

F₃ = 122.88 N

θ₃ = 20.63°

Explanation:

First we find the components of F₁:

For x-component:

F₁ₓ = F₁ Cos θ₁

F₁ₓ = (50 N) Cos 60°

F₁ₓ = 25 N

For y-component:

F₁y = F₁ Sin θ₁

F₁y = (50 N) Sin 60°

F₁y = 43.3 N

Now, for F₂. As, F₂ acts along x-axis. Therefore, its y-component will be zero and its x-xomponent will be equal to the magnitude of force itself:

F₂ₓ = F₂ = 90 N

F₂y = 0 N

Now, for the resultant force on ball to be zero, the sum of x-components of the forces and the sum of the y-component of the forces must also be equal to zero:

F₁ₓ + F₂ₓ + F₃ₓ = 0 N

25 N + 90 N + F₃ₓ = 0 N

F₃ₓ = - 115 N

for y-components:

F₁y + F₂y + F₃y = 0 N

43.3 N + 0 N + F₃y = 0 N

F₃y = - 43.3 N

Now, the magnitude of F₃ can be found as:

F₃ = √F₃ₓ² + F₃y²

F₃ = √[(- 115 N)² + (- 43.3 N)²]

F₃ = 122.88 N

and the direction is given as:

θ₃ = tan⁻¹(F₃y/F₃ₓ) = tan⁻¹(-43.3 N/-115 N)

θ₃ = 20.63°


Related Questions

Identify the 3 types of energy transfer shown in the diagram.

Answers

Answer:

1.Conduction.

2.Convection.

3.Radiation.

Explanation:

I'm sure it's correct

Christina drives her moped 7 kilometers North. She stops for lunch and then drives 5 kilometers East.

What distance did she cover? Please include the number and unit.

What was the magnitude of her displacement? Please include the number and unit.

What was the direction of her displacement? Please abbrieviate (N, S, E, W, etc.)

Answers

Explanation:

Given that,

Christina drives her moped 7 kilometers North. She stops for lunch and then drives 5 kilometers East. At first she traveled North and then East. They are perpendicular to each other.

Total path traveled = distance covered by an object

D = 7 km + 5 km = 12 km

Shortest path covered = Displacement

[tex]d=\sqrt{7^2+5^2} \\\\d=8.6\ km[/tex]

For direction :

[tex]\tan\theta=\dfrac{d_y}{d_x}\\\\\tan\theta=\dfrac{7}{5}\\\\\theta=\tan^{-1}(\dfrac{7}{5})\\\\\theta=54.46^{\circ}[/tex]

She is moving in the direction of 54.46 degrees.

A truck accelerates from 25 km/hr to 45 km/hr in 40 seconds. Calculate the average acceleration of the vehicle in m/s?.​

Answers

Answer:

0.138889 m/s2

Explanation:

The average acceleration of the vehicle would be 0.139 meters/second².

What is acceleration?

The rate of change of the velocity with respect to time is known as the acceleration of the object.

As given in the problem a truck accelerates from 25 kilometers/hour to 45  kilometers/hour in 40 seconds.

Let us first convert the velocities from kilometers/hour to meters/seconds

25 kilometers/hour ⇒ 25×1000/3600

                                    = 6.94 meters/seconds

45 kilometers/seconds =  45×1000/3600

                                       = 12.5 meters/seconds

acceleration = change in the velocity/time

                     =(12.5 -6.94)/40

                     =0.139 meters/second²

Thus, the acceleration of the truck would be 0.139 meters/second²

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what is displacement and distance

Answers

Answer:

Displacement is how far you are between your initial and finishing position.

Distance is how far you went.

Explanation:

For example, using a baseball field... if the sides are each 100 m..

A batter runs to third base... what is his displacement and distance?

Since the batter ran to 3rd base, it means he ran 300 m to get to 3rd base but his displacement is 100 m becuase that's how far they are from home plate. (which was their starting position)

So the answer to my example above would be:

Distance: 300 m

Displacement: 100 m

I hope this helped you.

A motorcyclist sees a branch in the road and hits the brakes, slowing down at -6.42 m/s. if it takes him 2.85 seconds to stop, what was his starting velocity?

Answers

Use the definition of average acceleration:

a = ∆v / t

If v is the starting speed, then ∆v = 0 - v, so solve for v :

-6.42 m/s² = (0 - v) / (2.85 s)

v = (6.42 m/s²) (2.85 s)

v ≈ 18.3 m/s

Which two elements have similar properties and 8 electrons in their outermost shells?
A. Chlorine and bromine
B. Calcium and strontium
C. Nitrogen and phosphorus
D. Argon and krypton
** THE ANSWER IS D **

Answers

Answer:

D

Explanation:

their octet is complete they don't react with any thing

Argon and krypton have similar properties, and they have a complete octet, which means that they do not react with anyone. Hence, option D is correct.

What are inert gases?

The phrase "inert gas" is a bit misleading because, in some circumstances, these gases can really be reactive. As a result, these gases are typically referred to as noble gases in the context of chemistry and materials science.

The term "noble" has historically been used in chemistry (and earlier in alchemy) to characterize the resistance of some metals to chemical reaction, and the term "noble gas" denotes the same resistance.

Helium (He)Neon (Ne)Argon (Ar)Krypton (Kr)Xenon (Xe)Radon (Rn)

These are the inert gases which are mentioned in the periodic table.

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What is the voltage drop across the 10.0 Ω resistor?

Answers

Answer:

its 120 C

Explanation:

its 120 C

The voltage drop across the 10.0 Ω resistor is c)120V

What is voltage drop in a circuit ?

Voltage drop is the decrease of electrical potential along the path of a current flowing in an electrical circuit.

since , all three resistors 10Ω , 20 Ω and 30Ω are in series combination

this implies that voltage drop across each resistor will be same as the total voltage drop in the circuit because in parallel combination voltage remain same in the circuit buy current get divided in each branch  

hence , the voltage drop across the 10.0 Ω resistor = 120 V

  correct answer c) 120 V

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Meteorites are of three kinds: stones, irons, and stony irons. Each
corresponds to a different part of planet formation. The stones resemble
pieces of planetary crust and mantle, the irons the planet cores, and the
stony irons the transitional area between core and mantle. In some stony
irons, translucent crystalline structures interpenetrate with opaque mantle
rock Collectors sometimes cut stony irons into thin slices and illuminate
them from one side for a gorgeous stained glass effect. Only one per cent
of all meteorites are stony irons. Five per cent are irons, and the remaining
ninety-four per cent are stones. The main function of the paragraph is to:
identify the three kinds of meteorites and provide information about each kind,
describe the chemical structure of the different types of rock found within the
meteorites classified as stones
explain why some meteorites contain both crystalline structures and opaque mantle
rock
list common ways collectors display pieces of meteorites.

Answers

Answer:

cookie

Explanation:

a motorcycle starts from rest covers 200 meter distance in 6 second calculate final velocity and acceleration​

Answers

Explanation:

s = ut + 1/2 a t^2

200 = 0 * 6 + 1/2 * a * (6)^2

200 = 1/2 * a * 36

200 = 18 a

a = 200/18

a= 11.1m/sec^2

v = u + at

v = 0 + 11.1 * 6

v = 66.6m/s

hope it helps you

Deforestation invites natural disasters. Give reason.​

Answers

Answer:

In addition to depleting resources for forest-dependent communities, deforestation is contributing to an increase in small-scale natural disasters.“That means when there's heavy rainfall, forest soil can absorb water underground and disburse it to streams.

Answer:   Deforestation invites natural disasters by the following reasons:-

i) Soil erosion

ii)Landslides due to soil erosion

iii) Forest fire

iv) Flooding due to soil erosion

Hope it helped u,

pls mark this as brainliest

and put thanks

^_^

how can you show that pressure increases with the increase of force?​

Answers

Answer:

...........................

Pressure is defined as Force/area
So what do you think?

Pitch describes how high or low a sound is. The pitch of a sound is most dependent upon the of the sound wave.
A.
amplitude
B.
rarefaction
C.
frequency
D.
wavelength

Answers

Answer: C. Frequency

Answer:

The answer is C

Explanation:

can y’all please help me with this 3 part question?

Answers

Answer:

Vf = 210 [m/s]

Av = 105 [m/s]

y = 2205 [m]

Explanation:

To solve this problem we must use the following formula of kinematics.

[tex]v_{f} =v_{o} +g*t[/tex]

where:

Vf = final velocity [m/s]

Vo = initial velocity = 0 (released from the rest)

g = gravity acceleration = 10 [m/s²]

t = time = 21 [s]

Vf = 0 + (10*21)

Vf = 210 [m/s]

Note: The positive sign for the gravity acceleration means that the object is falling in the same direction of the gravity acceleration (downwards)

The average speed is defined as the sum of the final speed plus the initial speed divided by two. (the initial velocity is zero)

Av = (210 + 0)/2

Av = 105 [m/s]

To calculate the distance we must use the following equation of kinematics

[tex]v_{f} ^{2} =v_{o} ^{2} +2*g*y\\\\(210)^{2} = 0 + (2*10*y)[/tex]

44100 = 20*y

y = 2205 [m]

A crossbow is fired horizontally off a cliff with an initial velocity of 15 m/s. If the arrow takes 4s to hit the ground, what is the range of the projectile?

Answers

Answer:

The range of the projectile is 60 meters

Explanation:

To determine the range/distance of the projectile, the formula for velocity is used;

velocity = distance/time

where velocity is 15 m/s

time is 4 seconds

distance is unknown

From the formula above, distance is made the subject and thus

distance = velocity × time

distance = 15 × 4

distance = 60 m

The range of the projectile is 60 meters

What are the ways of heat transfer?

Answers

Answer:

Conduction, Convection and Radiation

Explanation:

Hope this helps!

Conduction radiation and convection

Can any kind soul help me​

Answers

Answer:

2917.4 m/s

Explanation:

From the question given above, the following data were:

Gravitational acceleration of the Moon (g) = 0.25 times the gravitational acceleration of the earth

Radius (r) of the Moon = 1737 Km

Escape velocity (v) =?

Next, we shall determine the gravitational acceleration of the Moon. This can be obtained as follow:

Gravitational acceleration of the earth = 9.8 m/s²

Gravitational acceleration of the Moon (g) = 0.25 times the gravitational acceleration of the earth

= 0.25 × 9.8 = 2.45 m/s²

Next, we shall convert 1737 Km to metres (m). This can be obtained as follow:

1 Km = 1000 m

Therefore,

1737 Km = 1737 Km × 1000 m / 1 Km

1737 Km = 1737000 m

Thus, 1737 Km is equivalent to 1737000 m

Finally, we shall determine the escape velocity of the rocket as shown below:

Gravitational acceleration of the Moon (g) = 2.45 m/s²

Radius (r) of the moon = 1737000 m

Escape velocity (v) =?

v = √2gr

v = √(2 × 2.45 × 1737000)

v = √8511300

v = 2917.4 m/s

Thus, the escape velocity is 2917.4 m/s

Which refers to the ratio of output work to input work of a machine expressed as a percent?

total work
wattage
efficiency
power

Answers

Answer: C.) Efficiency

Explanation: Edge 2020 good luck ^__^

state three ways of conserving energy​

Answers

energy drinks

sitting

watching TV

Answer:

use natural lights

turn off electrical appliances..if not in use

check your wires every next Month

b) A shopkeeper sold a watch for Rs 810 at 10% loss. How much did he pay to
buy the watch?
indir

Answers

Answer:

rs 900

Explanation:

the process is given

Acceleration measures how much the ___________ of an object changes over time.
a) velocity
b) location

Answers

Answer: velocity

Explanation: v/t

Definition of uniform speed​

Answers

Answer:

Uniform Speed: A body is said to be moving with uniform speed, if it covers equal distances in equal intervals of time. Variable Speed: A body is said to be moving with variable speed if it covers unequal distances in equal intervals of time.

Explanation:

I got it from google

Answer:

Speed is a measure of how fast an object is moving at a given instant of time. It is a scalar quantity. Its unit is m/s. For a body covering equal distances in equal time intervals, the speed is called uniform speed.

Explanation:

Which describes an interaction within the musculoskeletal system?

Answers

Answer:

The musculoskeletal system involves the complex interactions of muscles, bones, and connective tissues.

When a muscle contracts, a bone will move. When a bone contracts, a muscle will move. When a ligament contracts, a tendon will move.

Answer:

A. when a muscle contracts , a bone will move

Explanation

thats the correct answer to this question on edg2021 :)

If a rock is dropped from the top of a tower at the front of it and takes 3.6 seconds to hit the ground. Calculate the final velocity of the penny in m/s. What is the height of the tower?

Answers

Answer:

35.28m/s; 63.50m

Explanation:

Given the following data;

Time, t = 3.6 secs

Since it's a free fall, acceleration due to gravity = 9.8m/s²

Initial velocity, u = 0

To find the final velocity, we would use the first equation of motion;

[tex] V = u + at[/tex]

Substituting into the equation, we have;

[tex] V = 0 + 9.8 * 3.6[/tex]

V = 35.28m/s

Therefore, the final velocity of the penny is 35.28m/s.

To find the height, we would use the second equation of motion;

[tex] S = ut + \frac {1}{2}at^{2}[/tex]

Substituting the values into the equation;

[tex] S = 0(3.6) + \frac {1}{2}*9.8*(3.6)^{2}[/tex]

[tex] S = 0 + 4.9*12.86[/tex]

[tex] S = 0.5 *36[/tex]

S = 63.50m

Therefore, the height of the tower is 63.50m.

Please help me out if you want brainliest !!!!! ASAP easy

Answers

Answer:

Road A = 8 meters Wet

Road B = 2 meters Muddy

Road C = 12 meters Dry

Explanation:

What is the net force (including direction and magnitude) acting on the object on the above left?

Answers

Answer:

Explanation:

the net force on the right left is 25 N and is directed upward

the net force on the left one is zero because 200N force act upward and 200N force act downward so both cancel each other and net force is zero

i hope this will help you

The net force on the right left is 25 N and is directed upward.

The net force on the left one is zero because 200 N force act upward and 200 N force act downward so both cancel each other and net force is zero.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

By looking at both figure we get idea of net force after calculation,

The net force on the right left is 25 N and is directed upward.

The net force on the left one is zero because 200 N force act upward and 200 N force act downward so both cancel each other and net force is zero.

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A car is driving down the road at 35 m/s when the driver slams on the brakes. The car stops in a distance of 75 meters. The braking force necessary to do this is 9,800 Newtons. How much work do the brakes perform stopping the car?

Answers

Answer:

If the car is initially travelling at u m/s, then the stopping distance d m travelled by ... the speed of the car at the instant the brakes are applied. ... Common usage will force us to depart from this later in the notes. ... The history of these equations is not absolutely clear, but we do have some ... Newton (1642–1727) and Leibniz.

Explanation:

hope this helped

Please simplify and write the below paragraph.
The field lines due to a current in a
circular coil become straight and
perpendicular to the plane of the coil
at the centre. This is because at every
point of circular loop the concentric
circles representing the magnetic field
become larger and larger as we move
away from the wire.

Answers

Field lines become straight and perpendicular because every point of circular loop the concentric circles become larger and larger as we move away from the wire.

Which could most likely describe the three surfaces?
Surface 1 is ice, Surface 2 is gravel, and Surface 3
is blacktop.
Surface 1 is gravel, Surface 2 is ice, and Surface 3
is blacktop.
Surface 1 is blacktop, Surface 2 is gravel, and
Surface 3 is ice.
Surface 1 is blacktop, Surface 2 is ice, and Surface
3 is gravel.

Answers

Answer:

Surface 1 is blacktop, Surface 2 is gravel, and Surface 3 is ice.

Explanation:

Hope this helps! :]

Answer:

C. Surface 1 is blacktop, Surface 2 is gravel, and

Surface 3 is ice.

Explanation:

PLZ HELP!!! the moon umbriel orbits uranus (mass = 8.68 x 10^25 kg) at a distance of 2.66 x 10^8 m. what is umbriels orbital speed? (In hours)

Answers

Answer:

99.48

Explanation:

99.48

Question 13 (1 point)
The genetic material of an offspring of sexually reproducing organisms is best described as-
a
Ob
identical to that of the other offspring
a copy of the genetic material of the father.
a copy of The genetic material of the mother
genes from both parents, in unique combinations
ос
Od

Answers

genes from both parents, in unique combinations

The genetic material of an offspring of sexually reproducing organisms is best described as genes from both parents in unique combinations.

SEXUAL REPRODUCTION:

Sexual reproduction is a type of reproduction that involves two organisms (a male and a female).

The male organism produces a gamete called SPERM while the female organism produces a gamete called EGG. The gametes are produced via a process called MEIOSIS.

Meiosis is a process of cell division whereby genetically different daughter cells are produced. The genetic variation is attributed to a process called crossing over, which is the exchange of genetic material between non-sister chromatids of homologous chromosomes.

At the end of the fertilization process between male sperm and female egg, the genetic material of the offspring will contain genes from both parents in unique combinations.

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