Find the magnitude and direction of the resultant force produced by a vertically upward force of 42 N and a left horizontal force of 35N.

Answers

Answer 1

Answer:

Resultant = 54.67 N

Direction: 50.2° to the horizontal

Explanation:

Note: Since both forces form a right angle triangle, As shown in the diagram below,

Applying

Pythagoras theorem,

a² = b²+c²..................... Equation 1

From the question,

a = R, b = 42 N, c = 35 N

Substitute these values into equation 1

R² = 42²+35²

R² = 1764+1225

R² = 2989

R = √2989

R = 54.67 N

Direction

tanФ = a/b

Where Ф = direction of the resultant

tanФ = 42/35

tanФ = 1.2

Ф = tan⁻¹(1.2)

Ф = 50.2° to the horizontal

Find The Magnitude And Direction Of The Resultant Force Produced By A Vertically Upward Force Of 42 N

Related Questions

g A meteoroid is in a circular orbit 600 km above the surface of a distant planet. The planet has the same mass as Earth but has a radius that is 90 % of Earth's (where Earth's radius is approximately 6370 km ). What is the gravitational acceleration of the meteoroid

Answers

Answer:

Explanation:

gravitational acceleration of meteoroid

=  GM / R²

M is mass of planet , R is radius of orbit of meteoroid from the Centre of the planet .

R = (.9 x 6370 + 600 )x 10³ m

= 6333 x 10³ m

M , mass of the planet = 5.97 x 10²⁴ kg .

gravitational acceleration of meteoroid

=  GM / R²

=  (6.67 x 10⁻¹¹ x 5.97 x 10²⁴ kg  / (6333 x 10³ m)²

9.92m/s²

What forces are acting on the race car while it is in motion? (hint: there are 3
forces)

Answers

Answer:

the forces acting on the car while moving are - frictional force, applied force , air resistance and gravity.:

Which nucleus completes the following equation?

Answers

Answer:

b

Explanation:

b

Answer: c

Explanation:

A p e x

True False: Marke each statement as true or false.
shift
1. Light intensity affects the rate of photosynthesis.
in
2. Energy is required by all organisms for life.
3. The ability of a plant to repair tissue depends on respiration.
4. The gas needed for photosynthesis is carbon dioxide (CO2).
5. Plants only carry on photosynthesis, not respiration.
6. Respiration can occur without photosynthesis.

Answers

Answer:

1) true 2) true 3) true 4) true 5) false 6) false

Explanation:

12)A black body is heated from 27°C to 127° C. The ratio of their energies of radiations emitted will be

a)3:4

c)27:64

b)9:16

d)81:256​

Answers

Answer:

[tex]81:256[/tex].

Explanation:

Let [tex]T[/tex] denote the absolute temperature of this object.

Calculate the value of [tex]T[/tex] before and after heating:

[tex]T(\text{before}) = 27 + 273 = 300\; \rm K[/tex].

[tex]T(\text{after}) = 127 + 273 = 400\; \rm K[/tex].

By the Stefan-Boltzmann Law, the energy that this object emits (over all frequencies) would be proportional to [tex]T^4[/tex].

Ratio between the absolute temperature of this object before and after heating:

[tex]\displaystyle \frac{T(\text{before})}{T(\text{after})} = \frac{3}{4}[/tex].

Therefore, by the Stefan-Boltzmann Law, the ratio between the energy that this object emits before and after heating would be:

[tex]\displaystyle \left(\frac{T(\text{before})}{T(\text{after})}\right)^{4} = \left(\frac{3}{4}\right)^{4} = \frac{81}{256}[/tex].

b. Why are the resources listed in part (a) considered "renewable"?

Answers

Answer:

I would need to see the part a to be more specific but this may help:

resources like solar, water, wind are considered renewable because they will never run out, they can be replenished over and over again. There will always be a sun (and if there wasn't then we'd have bigger conserns than renewable energy) and the wind will always blow. It can never run out because you use too much unlike coal and fossil fuels.

Hope this helps!

A planet moves in a circular orbit of radius 4.5x10^15 m with a period of 4
days. What is its velocity?

Answers

Answer:

2.6x10^{10}

Explanation:

please do follow me

A bird is standing on an electric transmission line carrying 3000 A of current. A wire like this has about 3.0 x 10-5 22 of resistance per meter. The bird's feet are 6 cm apart. The bird itself has a resistance of about 4 x 105 12. The bird experiences a potential difference of 0.0054 V. What current goes through the bird?

Answers

Answer:

13.5 x 10^-9 A

Explanation:

Yes

Describe each of the FITT training principles. (Site 1

Answers

Answer:

The FITT principles are an exercise prescription to help participants understand how long and how hard they should exercise. FITT is acronym that stands for Frequency, Intensity, Time, and Type. FITT can be applied to exercise in general or specific components of exercise.

Explanation:

The F stands for frequency, which is how often a person exercises. The I stands for intensity, which is the amount of hard work one puts into a particular workout. The intensity can be difficult to balance, since the exercise needs to be difficult so that it overloads the body, but not so much so that it could cause injury. The first T of the acronym stands for time which is how long the workout session is, which depends on the type of workout. The T stands for type which is whether one chooses a cardio, strength, or flexibility activity

A golf club rotates 215 degrees and has a length (radius) equal to 29 inches. The time it took to swing the club was 0.8 seconds. What is the average linear velocity (inches/second) of the golf club

Answers

Answer:

The average linear velocity (inches/second) of the golf club is 136.01 inches/second

Explanation:

Given;

length of the club, L = 29 inches

rotation angle, θ = 215⁰

time of motion, t = 0.8 s

The angular speed of the club is calculated as follows;

[tex]\omega = (\frac{\theta}{360} \times 2\pi, \ rad) \times \frac{1}{t} \\\\\omega = (\frac{215}{360} \times 2\pi, \ rad) \times \frac{1}{0.8 \ s} \\\\\omega = 4.69 \ rad/s[/tex]

The average linear velocity (inches/second) of the golf club is calculated as;

v = ωr

v = 4.69 rad/s  x  29 inches

v = 136.01 inches/second

Therefore, the average linear velocity (inches/second) of the golf club is 136.01 inches/second

is burning trash a physical change or chemical change?

Answers

it's a chemical chemical change

Two loudspeakers in a plane are 2.0 m apart and in phase with each other. Both emit 700 Hz sound waves into a room where the speed of sound is 341 m/s. A listener stands 5.0 m in front of the loudspeakers and 2.0 m to one side of the center line. Is the interference at this point completely constructive, completely destructive, or in between

Answers

Answer:

interference is between destructive  and constructive

Explanation:

The interference of two sound waves periodicity in phase by the speakers is

          Δr = [tex]\frac{\phi }{2\pi } \ \lambda[/tex]

in this case they indicate that the frequency is f = 700 Hz, the wave speed is

            v =λ f

            λ = v / f

            λ = 341/700

            λ = 0.487 m

Let's use the Pythagorean theorem to find the distance that each wave travels

        r₁ = [tex]\sqrt{x^2 + y^2}[/tex]

let's measure the distance from speaker 1

          r₁ = [tex]\sqrt{5^2 + 1^2}[/tex]

          r₁ = 5,099 m

the distance from the second speaker

          r₂ = \sqrt{x^2 + y^2}

          r₂ = [tex]\sqrt{5^2 +3^2}[/tex]

          r₂= 5.831 m

the difference in the way is

          Δr = r₂ -r₁

          Δr = 5,831 - 5,099

          Δr = 0.732 m

         [tex]\frac{ \phi }{2\pi }[/tex] = Δr /λ

         \frac{ \phi }{2\pi } = 0.732 / 0.487

         \frac{ \phi }{2\pi } = 1.50

this is the phase difference this phase difference is approximately

            Ф= [tex]\frac{\pi }{2}[/tex] =1.57,

so the interference is between destructive ( Ф = π) and constructive (Ф=2π)

A given container of 5.0 kg of water maintains a constant temperature over 24 hours. If its mass doesn't change, what statements would support identifying it as a closed system.

I. Only energy was exchanged with its surroundings.
II. Its mass was constant because the water lost to evaporation was replaced with an equal volume of water.
III. It didn't exchange matter or energy with its environment.
IV. External work was used to maintain its internal energy.

A) III
B) l and III
C) II and IV
D) I and IV​

Answers

Answer:

D) I and IV

Explanation:

A closed system is the one where mass can not enter or leave the system, while the energy can enter o leave the system.

I. This is true according to the definition. Because only energy can enter or leave a closed system.

II. This is not true. Because mass interaction is not allowed in a closed system.

III. This is false. Because energy exchange is allowed.

IV. True. Because energy exchange is possible.

Therefore the correct option is:

D) I and IV

g Suppose you're on a hot air balloon ride, carrying a buzzer that emits a sound of frequency f. If you accidentally drop the buzzer over the side while the balloon is rising at constant speed, what can you conclude about the sound you hear as the buzzer falls toward the ground

Answers

Answer:

the observed frequency will reduce but the wavelength will increase

Explanation:

As we know

fo = fs (v/(v-vs))

fo = observed frequency

vs = velocity of source

As per this equation,  

When an observer moves away from the stationary source, the observed frequency reduces. Since the observer in the balloon is moving away from the source which itself is moving in opposite direction, the observed frequency will reduce.  

Since wavelength = V/fs . The source frequency is unchanged but the velocity is increasing as it is moving in downward direction. Hence, the wavelength will increase

a 4 kg block is moving at 12 m/s on a horizontal frictionless surface. a constant force is applied such that the block slows with an acceleration of 3 m/s^2. how much work must this force do to stop the block?
a. -576 J
b. -360 J
c. -288 J
d. 360 J
e. 576 J​

Answers

The block comes to a rest from 12 m/s with acceleration 3 m/s^2, which is carried out over a distance x such that

(12 m/s)^2 - 0^2 = 2 (3 m/s^2) x

=>   x = (12 m/s)^2 / (2 (3 m/s^2)) = 24 m

The force itself has a magnitude F such that

F = (4 kg) (3 m/s^2)

=>   F = 12 N

This force is pointing opposite the direction in which the block is moving, so the work it's performing is negative, and the work done is

W = - (12 N) (24 m) = -288 Nm = -288 J

which makes C the answer.

Light with a single wavelength falls on two slits separated by 0.510 mm. In the resulting interference pattern on a screen 2.24 m away, adjacent bright fringes are separated by 2.88 mm.What is the wavelength of the light that falls on the slits

Answers

Answer: 655.7 nm

Explanation:

Given

The slits are separated by [tex]d=0.510\ mm[/tex]

Distance between slits and screen is [tex]D=2.24\ m[/tex]

Adjacent bright fringes are [tex]\beta =2.88\ mm[/tex] apart

Also, the distance between bright fringes is given by  

[tex]\Rightarrow \beta =\dfrac{\lambda D}{d}\quad [\lambda=\text{Wavelength of light}]\\\\\text{Insert the values}\\\\\Rightarrow 2.88\times 10^{-3}=\dfrac{\lambda \cdot 2.24}{0.510\times 10^{-3}}\\\\\Rightarrow \lambda =\dfrac{2.88\times 10^{-3}\times 0.510\times 10^{-3}}{2.24}\\\\\Rightarrow \lambda =0.6557\times 10^{-6}\ m\\\Rightarrow \lambda =655.7\ nm[/tex]

Monochromatic light with wavelength 633 nn passes through a narrow slit and a patternappears on a screen 6.0 m away. The distance on the screen between the centers of thefirst minima on either side of the screen is 32 mm. How wide (in mm) is the slit

Answers

Answer:

Explanation:

screen distance D = 6 m .

wavelength of light λ = 633 nm.

slit width = d .

Distance between first minima on either side is width of central maxima

= 2 x λD /d

Given

32 x 10⁻³ = 2 x λD /d

d = 2 x λD /32 x 10⁻³

= 2 x 633 x 10⁻⁹ x 6 / 32 x 10⁻³

= 237.37 x 10⁻⁶ m

= .23737 x 10⁻³ m

= .24 mm .

Which planet(s) in the solar system has/have retrograde orbits around the Sun?


A) Uranus


B) Venus and Uranus


C) Earth, Mars, and Saturn


D) Jupiter

Answers

B.) Venus and Uranus

All of the planets move in an eastward direction except Venus and Urunus

Answer:B

Explanation:

Question 15 of 25
You feel warm sitting next to a bright light. Which type of heat transfer are
Experiencing?

Answers

Answer: conduction :it transfers heat between objects that are in direct contact with eachother

Answer:

radiation

Explanation:

What is the electric field strength 7.50 x 10E-1 meters from a 2.8 x 10 E-3 C charged object?

Answers

Answer:hi

Explanation:

1 point
4. When mass is in kilograms and velocity is in meters per second then
momentum is in kilograms-meters per second.
True
Ο Ο
False

Answers

Answer:

true

Explanation:

momentum = kg (m/s)

momentum = mass × velocity

Activity 4: Caste System - The Hierarchy
Instruction: Label the hierarchy of the caste system. Write your answer on the
space provided.​

Answers

111111111111111111111111111111111

For an electrical project in a residence, the electrical engineer had resistors
resistances equal to 300 and 100 to assemble a circuit of an electrical appliance that must be connected 12
hours per day. In order to obtain a chain for optimal operation, he came to the conclusion that the best
configuration would be the one shown in the figure below (consider the middle thread as ideal). Knowing that
kWh value is $ 0.35, what is the amount that must be paid for energy consumption over 1 month (30 days)?

Answers

Answer:

$ 0.077

Explanation:

We'll begin by calculating the equivalent resistance of the three 300 Ω resistors connected in series. This can be obtained as follow:

Equivalent resistance of the three 300 Ω (R₃₀₀) = 300 + 300 + 300

= 900 Ω

Next, we shall determine the equivalent resistance of the two 100 Ω resistors connected in series. This can be obtained as follow:

Equivalent resistance of the two 100 Ω (R₁₀₀) = 100 + 100

= 200 Ω

Next, we shall determine the equivalent resistance in the circuit. This can be obtained as follow:

Equivalent resistance of the three 300 Ω (R₃₀₀) = 900 Ω

Equivalent resistance of the two 100 Ω (R₁₀₀) = 200 Ω

Equivalent Resistance (R) =?

R = R₃₀₀ × R₁₀₀ / R₃₀₀ + R₁₀₀ (since they are in parallel connections)

R = 900 × 200 / 900 + 200

R = 163.64 Ω

Next, we shall determine the energy in KWh. This can be obtained as follow:

Voltage (V) = 10 V

Resistance (R) = 163.64 Ω

Time (t) for 30 days = 12 × 30 = 360 h

Energy (E) =?

E = V²t / R

E = 10² × 360 / 163.64

E = 100 × 360 / 163.64

E = 36000 / 163.64

E = 220 Wh

Divide by 1000 to express in KWh

E = 220 Wh / 1000 = 0.22 KWh

Finally, we shall determine the amount paid for 1 month (30 days). This can be obtained as follow:

Cost per KWh = $ 0.35

Energy (E) = 0.22 KWh

Cost for 30 days =?

Cost for 30 days = Energy × Cost per KWh

Cost for 30 days = 0.22 × 0.35

Cost for 30 days = $ 0.077

Therefore, the amount that must be paid for 1 month is $ 0.077

A 2.0-m-long rod has a density in kilograms per meter and x is the distance from the left end of the rod. The rod rests horizontally with each end supported by a scale. The force exerted by the left scales is

Answers

Answer: Hi your question is incomplete below is the complete question

A 2.0-m long rod has a density in kilograms per meters λ = a + bx, where a=1.0kg/m, b=1.0kg/m2, and x is the distance from the left end of the rod. The rod rests horizontally with each end supported by a scale. The force exerted by the left scale is?

answer : 13.08 N

Explanation:

Determine the force exerted by the left scale

Length of rod = 2.0 m

Density of rod ( λ )= a + bx = 1 + 1x

First step ; Determine the moment

∑ moment = 0 =  F * 2 - (( 1 * 2 * g * 2/2) + (1/2 * 2 * 1 * g * (2/3 ) )

∴ F = 4g / 3

     = 4 * 9.81 / 3 =  39.24 / 3 = 13.08 N

Stunt car A and stunt car B are identical cars with the same mass of 47.1 kg. They are both traveling at 89.3 m/s. Stunt car A crashes into a hard concrete wall, whereas stunt car B crashes into a large pile of soft sand. They both come to a complete stop after the impact.
Stunt Car A experiences a ______ over a ______ of time.
Stunt Car B experiences a ______ over a ______ of time.
Because of the force experienced by Stunt Car A, it will sustain ______ damage than Stunt Car B.

Answers

Answer:

1)  HIGH IMPULSE,  SHORT INSTANT

2) SMALL IMPULSE, MORE  INSTANT OF TIME

more

Explanation:

Let's propose the solution of this exercise, let's use the relationship between momentum and momentum

       I = Δp

       F t = m v_f - m v₀

indicates that the carriage stops v_f = 0

       F t = - m v₀

Therefore, if the impact time decreases, the force must increase and therefore the damages also

Car A collides with a concrete wall that is rigid, therefore the collision occurs in a very short time, car B collides with area, so the collision time is extended, now we can complete the sentences

1) Stunt Car A experiences a _HIGH IMPULSE_ over a SHORT INSTANT__ of time.

2)Stunt Car B experiences a _SMALL IMPULSE_____ over a _MORE INSTANT__ of time.

3) Because of the force experienced by Stunt Car A, it will sustain __MORE____ damage than Stunt Car B.a

3) more

A skydiver weighing 200 lbs with clothes that have a drag coefficient of .325 is falling in an area that has an atmospheric density of 1.225 kg/m2 (and assuming that altitude has a negligible effect on atmospheric density). The skydiver can change the body orientation from straight-erect with a cross-sectional area of 6 sqft to a belly-flat cross-sectional area of 24 sqft. Calculate the terminal velocity of the person when the body has straight and when the body has belly-flat orientations. Calculate the terminal velocity on these two different orientations.

Answers

Answer:

The right solution is:

(a) 89.455 m/s

(b) 44.73 m/s

Explanation:

The given values are:

Mass,

m = 200 lbs

or,

   = [tex]\frac{200}{2.205} \ kg[/tex]

   = [tex]90.7 \ kg[/tex]

Air's density,

[tex]\delta = 1.225 \ kg/m^3[/tex]

Drag coefficient,

[tex]C_d=0.325[/tex]

When body is straight, area,

[tex]A_1=6 \ ft^2[/tex]

As we know,

Terminal velocity,

⇒  [tex]V_t=\sqrt{\frac{2W}{C_d \delta A} }[/tex]

or,

⇒      [tex]=\sqrt{\frac{2mg}{C_d \delta A} }[/tex]

At straight orientation,

⇒ [tex]V_t'=\sqrt{\frac{2\times 90.7\times 9.8}{0.325\times 1.225\times 0.558} }[/tex]

⇒      [tex]=\sqrt{\frac{1777.72}{0.223}}[/tex]

⇒      [tex]=89.455 \ m/s[/tex]

When belly flat,

⇒  [tex]V_t''=\sqrt{\frac{2\times 90.7\times 9.8}{0.325\times 1.225\times 0.558\times 4} }[/tex]

⇒        [tex]=\sqrt{\frac{1777.72}{0.889} }[/tex]

⇒        [tex]=44.73 \ m/s[/tex]

the unit of mass"kilogram" is a fundamental unit. why?​

Answers

Answer:

kilogram is a fundamental unit because it is one of the 7 fundamental units that serve as a building block for derived units.

Explanation:

Fundamental units are used to measure fundamental quantities. They are fundamental units because they serve as a building block for derived units.

7 fundamental quantities and their corresponding units;

Length – meter

Mass – kilogram

Time - seconds

Temperature - Kelvin

Amount of substance - Moles  

Electric Current - Ampere  

Luminous intensity -  Candela

Thus, kilogram is a fundamental unit because it is one of the 7 fundamental units.

After 60 days, 100g of a certain element has decayed to only 12.5g.
What is the half- life of this element?
А
30 days
B.
8 days
С
20 days
D
5 days

Answers

Answer:

8 days

Explanation:

The temperature of a body is from 200 to 300C.The change of temp at absolute scale is

Answers

Answer:

mark me brainliest

Explanation:

The change of temperature at absolute scale is. A. 3.73 K

Answer:

373K

Explanation:

300°c - 200°c =100°c

Absolute scale means Kelvin scale so

0°c= 273°c

100°c = 100 + 273

=373K

Please help... I'm confused on what I represents in terms of solving the total current. Would variable would I be singling out?

Answers

Answer:

the researcher say hi for us the best pa the best of us are going out to eat that I can get my money toward a little bit but the best of luck to be at work by then and we will see what the status

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