Answer:
a) F₃ = 108.71 N , θ = 218.68º b) m = 0.8487 kg
Explanation:
a) To solve this problem we will use Newton's second law, in the first part the accuracy is zero
∑ F = 0
X axis
F₁ₓ + F₂ₓ + F₃ₓ = 0
F₃ₓ = - F₁ₓ -F₂ₓ
Y axis
[tex]F_{1y}[/tex] + F_{2y} + F_{3y} = 0
F3y = -F_{1y} -F_{2y}
Let's use trigonometry to find the components of the applied forces
cos 70 = F₁ₓ / F₁ F₁ₓ = F₁ cos 70
sin 70 = F_{1y} / F₁ F_{1y} = F₁ sin 70
cos 20 = F₂ₓ / F2 F₂ₓ = F₂ cos 70
sin 20 = F_{2y} / F₂ F_{2y} = F₂ sin 70
F₁ₓ = 45 cos 70 = 15.39 N
F_{1y} = 45 sin 70 = 42.29 N
F₂ₓ = 75 cos 20 = 70.48 N
F_{2y} = 75 sin 20 = 25.65 N
let's calculate
F₃ₓ = -15.39 - 70.48
F₃ₓ = -85.87 N
F_{3y} = -42.29 - 25.65
F_{3y} = -67.94 N
this is the force that must be applied to keep the system in equilibrium, we can give this value in the form of module and angle
F₃ = √ (F₃ₓ² + F_{3y}²)
F₃ = √ (85.87² +67.94²)
F₃ = 108.71 N
tan θ = F₃ = [tex]F_{3y}[/tex] / F₃ₓ
θ = tan⁻¹ (67.94 / 84.87)
θ = 38.68º
Since the two values are negative, this angle is in the third quadrant, therefore the measuring angle n counterclockwise from the positive side of the x-axis is
θ = 180 + 38.68
θ = 218.68º
b) It is not clear, but we must suppose that the person exerts this force F3 in the direction of movement, bone at an angle θ= 39.68º, in this case Newton's equation for the x axis remains
F₁ₓ + F₂ₓ + F₃ₓ = m a
m = (F₁ₓ + F₂ₓ + F₃ₓ) / a
let's calculate
m = (15.39 + 7048 + 85.87) / 200
m = 0.8487 kg
When are zeros significant when found to the trailing (to the right) of the decimal point?
Answer:
Usually, zeroes are found to the right of a decimal point in significant numbers if you have something like [tex]7\frac{1}{100000000000000000000000000}[/tex] (exaggerated example of course), which is when you have a number that is very very close to the integer before it, but isn't that integer.
Suppose that the potential energy of a body at a certain height is 200 J. If the body falls, what is its kinetic energy just as it reaches the ground?
Answer:
200j
Explanation:
The kinetic energy just as it reaches the ground is 200J.
What is Potential energy?Potential energy is defined as the energy stored within an object that exists as a result of the state, position or arrangement of the object. It is one of the two primary forms of energy while the other is kinetic energy. The stored energy is released when there is a change in the state, position or arrangement of the object.
This is the stored energy which depends upon the relative position of various parts of a system such as a spring has more potential energy when it is compressed or stretched.
Initially the potential energy of the body is 200 J but when it is released, its potential energy is converted into kinetic energy. When the body just touches the ground, the kinetic energy becomes equal to the potential energy.
Thus, the kinetic energy just as it reaches the ground is 200J.
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Hurry please
The distance from wave to wave is called what
Answer:
Wavelength
Explanation:
An archer shoots an arrow. Consider the action force to be the bowstring against the arrow. The reaction to this force is the:_____________
a. friction of the ground against the archer's feet.
b. grip of thhe archer's hand on the bow.
c. arrow's push against the bowstring.
d. combined weight of the arrow and bowstring
e. air resistance against the bow arrow.
Answer:
c. arrow's push against the bowstring.
Explanation:
Newtons third law of motion describe the relationship between action and reaction forces. Thus when the action force is applied by the bowstring against the arrow, a reaction to this force is supplied by the arrow's push against the bowstring.
If these two forces are not equal and opposite, the arrow would not move as expected. The elastic property of the bowstring propels the arrow at a rate which is due to the potential energy it has gained due to the stretching force.
where was the position of the singularity before the big bang ?
A plant dying after being exposed to poison represents a physical change.
True
False
Answer:
It does not represent a physical change
Answer:
chemical change as death is irreversible
A 50 N girl climbs the flight of stairs in 3 seconds. How much work does she
perform? How much power does she use? *
How much thermal energy (in kcal) is required to change a 43 g ice cube from a solid at - 16.5 oC to steam at 11.5 oC above boiling
Answer:
The total thermal energy required is 8.93 Kcal
Explanation:
Given;
mass of the ice cube, m = 43 g
specific heat capacity of water, Cp = 4.18 J/gc
specific latent heat of fusion of ice, Cf = 334 J/g
First step, determine the heat needed to raise the temperature of the ice from -16.5 °C to 0° C
Q₁ = mCp[0 - (-16.5)]
Q₁ = 43 x 4.18(16.5)
Q₁ = 2965.71 J
Second step, determine the latent heat of fusion of ice at 0°C
Q₂ = mCf
Q₂ = 43 x 334
Q₂ = 14362 J
Third step, determine the quantity of heat required to raise the temperature of the water initially at 0°C to above 11.5 °C of boiling point of water.
The final temperature of the water = 11.5 °C + 100° C = 111.5 °C
Q₃ = mCp Δθ
Q₃ = 43 x 4.18 (111.5 - 0)
Q₃ = 20041 J
Total thermal energy required = Q₁ + Q₂ + Q₃
Total thermal energy required = 2965.71 J + 14362 J + 20041 J
Total thermal energy required = 37,368.71 J
Total thermal energy required = 8.93 Kcal
A boat can travel 2.30 m/s in still water. If the boat points its prow directly across a stream whose current is 1.80 m/s , what is the magnitude of the velocity of the boat relative to the shore?
Answer:
A boat can travel 2.30 m/s in still water. (a) If the boat points its prow directly across a stream whose current is. ... (a) What is the velocity (magnitude and direction) of the boat relative to the shore? ... The boat's velocity with respect to the shore, , is the sum of its velocity with respect to the water
Explanation:
What is the highest order dark fringe, , that is found in the diffraction pattern for light that has a wavelength of 575 nm and is incident on a single slit that is 1410 nm wide?
Answer:
The highest order dark fringe is 2
Explanation:
From the question we are told that
The wavelength is [tex]\lambda = 575 \ nm = 575 *10^{-9} \ m[/tex]
The width is of the slit is [tex]d = 1410 nm = 1410 *10^{-9} \ m[/tex]
Generally the highest order dark fringe is mathematically represented as
[tex]m = \frac{w}{\lambda }[/tex]
=> [tex]m = \frac{ 1410 *10^{-9}}{ 575 *10^{-9} }[/tex]
=> [tex]m =2[/tex]
I'll give brainliest if you give me a good awnser. :)
A football player kicks a ball with a force of 50 N. Find the impulse on the ball if his foot stays in contact with the football for 0.01 second.
Answer:
0.5
Explanation:
An elevator is pulled up by a cable with a force of 65,000 N. The upward acceleration of the elevator is 1.8 m/s/s. What is the mass of the elevator?
a. 1.8 kg.
b. 1700 kg.
c. 54880 kg.
d. 5600 kg.
e. 36111 kg.
Answer:
36111 kg
Explanation:
Given
Force = 65000N
Acceleration = 1.8m/s²
Required
Determine the mass of the elevator
This question will be answered using the following Force formula.
Force = Mass * Acceleration
Substitute values for Force and Acceleration
65000N = Mass * 1.8m/s²
Make Mass the subject
Mass = 65000N/1.8m/s²
Mass = 36111.11 kg
From the list of given options, option E answers the question.
Fast and safe heart rate for workouts is called muscular strength? True or false
Answer:
False
Explanation:
Answer:
false :3
hope this helps
What magnification would be obtained if an eyepiece with a focal length of 0.38 m was placed on telescope?
Answer:
This question is incomplete
Explanation:
This question is incomplete because the telescope's focal length was not provided. The formula to be used here is
Magnification = telescope's focal length/eyepiece's focal length
The eyepiece's focal length was provided in the question as 0.38 m.
NOTE: Magnification can be described as the power of an instrument (in this case telescope) to enlarge an object. It has no unit and thus the two focal lengths mentioned in the formula above must be in the same unit (preferably meters since one of them is in meters already).
ke...
11. Table salt, NaCl, is a classic binary ionic compound. (4 points)
a. What is the oxidation number of Na? Of Cl?
ave...
Answer:
+1
-1
Explanation:
The oxidation number of Na in NaCl is +1 and that of Cl is -1.
For simple ions, the oxidation number is the charge they carry.When NaCl is oxidized we have;
NaCl → Na⁺ + Cl⁻
In this process, Na will lose an electron to become Na⁺ and thus isoelectronic with Ne, Cl will gain the electrons to become Cl⁻ and thus isoelectronic with Argon.
How is mass-energy equivalence demonstrated in the Sun?
Hydrogen nuclei fuse to form a larger nucleus, and a small amount of mass is converted into energy.
Hydrogen nuclei fuse to form a larger nucleus by absorbing a large amount of energy and converting it into a small amount of mass.
Hydrogen nuclei form from smaller nuclei, and a small amount of mass is converted into energy.
Hydrogen nuclei form from smaller nuclei by absorbing a large amount of energy and converting it into a small amount of mass.
Answer:
Explanation:
Hydrogen nuclei fuse to form a larger nucleus, and a small amount of mass is converted into energy.
The mass difference between a helium nucleus and four hydrogen nuclei is 0.7%; this mass difference is transformed into energy during the fusion process. Each mole of He42 created as a result of this reaction generates around 3.6 1011 kJ of energy. Thus, option A is correct.
What Hydrogen nuclei fuse to form a larger nucleus?Hydrogen is exhausted during the fusion of hydrogen nuclei, which creates helium and energy. The process's fuel is hydrogen. The star's core condenses and heats up further as the hydrogen is consumed.
For instance, 0.645% of the mass is lost during the fusion of two hydrogen atoms to create helium in the form of electromagnetic radiation or the kinetic energy of an alpha particle. Even those of the lightest element, hydrogen, require a significant amount of energy to get their nuclei to fuse.
Due to this, heavier and heavier elements are encouraged to fuse together, eventually creating all the elements up to iron.
Therefore, Hydrogen nuclei fuse to form a larger nucleus, and a small amount of mass is converted into energy.
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describe how you would measure the diameter of a tennis ball
Which material is a composite? A. gold B.silicon C.polycarbonate D.aluminum
Answer:
Correct answer is polycarbonate not gold
Explanation:
insulator allows the electric current to pass through it true or false please anyone please please please
Plant cells have It is used for photosynthesis
A wheel accelerates with a constant angular acceleration of 4.5 rad/s2. If the initial angular velocity is 1.0 rad/s, what is the angle the wheel rotates through in 2.0 s?
Answer:
The angle which the wheel rotates through in 2 seconds is [tex]\theta =11 \ radians[/tex]
Explanation:
From the question we are told that
The constant angular acceleration of the wheel is [tex]\alpha = 4.5 rad/s^2[/tex]
The initial angular velocity of the wheel is [tex]w_1 = 1.0 \ rad/s[/tex]
The time duration considered is [tex]t = 2.0 \ s[/tex]
Generally from kinematic equation we have that
[tex]\theta = w_1 t +\frac{1}{2} \alpha t^2[/tex]
=> [tex]\theta = 1.0 * 2 +\frac{1}{2} * 4.5 * 2^2[/tex]
=> [tex]\theta =11 \ radians[/tex]
What part of the body acts as levelers
Answer: your feet are the foundation! Even though all your body parts are connected and affect one another, your feet are what we at Foot Levelers call, the "foundation".
Explanation:
what is the state of y when y = k/x, x is halved.
Answer:
y becomes doubled.
Explanation:
If;
y = [tex]\frac{k}{x}[/tex]
what is the state of y when x is halved;
the given expression is an inverse relationship. When y increases, x is supposed to decrease and vice versa.
if x is halved; x = [tex]\frac{x}{2}[/tex]
[tex]\frac{k}{\frac{x}{2} }[/tex] = [tex]\frac{2k}{x}[/tex]
Now compare :
[tex]\frac{k}{x}[/tex] : [tex]\frac{2k}{x}[/tex]
we see that y becomes doubled
A 14000 kg tank moving at 9 m/s is brought to a halt in 2.5 s by a reinforced-steel tank barrier. What magnitude of the impulse was imparted to the tank
Answer
The value is [tex]I = 126000 \ kg \cdot m/s[/tex]
Explanation
From the question we are told that
The mass of the tank is [tex]m = 14000 \ kg[/tex]
The speed is [tex]u = 9 \ m/s[/tex]
The duration taken to bring it to a stop is [tex]\Delta t = 2.5 \ s[/tex]
Generally the impulse that was imparted on the tank is mathematically represented as
[tex]I = m (u - v )[/tex]
Generally the v is the final velocity of the tank which is v = 0 m/s , given that it was brought to rest
So
[tex]I = 14000 (9 - 0 )[/tex]
=> [tex]I = 126000 \ kg \cdot m/s[/tex]
Impulse is defined as the mass and change of velocity. The magnitude of the impulse was imparted to the tank 126000 Kg m/sec.
What is impulse?
The force which acts on the body for a short interval of time is known as the impulsive force. The impulsive force is defined as the product of force and the duration for the force is applied.
It is denoted by I. Its unit is kgm/sec.
m is the mass of the tank = 14000 kg
v is the final speed = 9 m/s
u is the initial speed =0
t is the time interval = 2.5 sec.
The formula for impulse is given as ;
[tex]\rm I=\frac{m(v-u)}{t} \times t \\\\ \rm I=m(v-u) \\\\ \rm I=14000(9-0)\\\\\rm I= 126000 \;kgm/sec[/tex]
Hence the magnitude of the impulse was imparted to the tank 126000 Kg m/sec.
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an inductive argument guarantees its conclusion
True
False
Answer:
False
Explanation:
inductive arguments have some evidence but do not have full assurance of truth of the conclusion
Define SI system of measurement.
Answer:
SI system - a complete metric system of units of measurement for scientists; fundamental quantities are length (meter) and mass (kilogram) and time (second) and electric current (ampere) and temperature (kelvin) and amount of matter (mole) and luminous intensity (candela); "Today the United States is the only country
Explanation:
hope this helps u, sorry if it doesn't.
Answer:
International System of Units (SI), French Système International d'Unités, international decimal system of weights and measures derived from and extending the metric system of units. Adopted by the 11th General Conference on Weights and Measures (CGPM) in 1960, it is abbreviated SI in all languages
a (n) net is the overall force on a object
Answer:
net force
Explanation:
The net force is the vector sum of all the forces acting on an object.
Please help! ASAP. I'm going to have a panic attack.
Answer:
dont die bro
Explanation:
Suppose an electric eel develops a potential difference of 450 V driving 0.80 A during a 1.0 ms pulse. What is the power output of the eel during this pulse
Answer:
The power output is [tex]P = 360 \ W[/tex]
Explanation:
From the question we are told that
The potential difference developed is [tex]V = 450 V[/tex]
The current is [tex]I = 0.80 \ A[/tex]
The duration of the pulse is [tex]\Delta t = 1.0 ms = 1,0 *10^{-3} \ s[/tex]
Generally the power output of the eel during the pulse is mathematically represented as
[tex]P = V * I[/tex]
=> [tex]P = 450 * 0.80[/tex]
=> [tex]P = 360 \ W[/tex]
Ethan drove a 1500 kg car around a circular track with a radius of 75 m. If the magnitude of the centripetal acceleration is 2 m/s2, what is the car's speed?
A)2.25 m/s
B)20 m/s
C)37.5 m/s
D)150 m/s
Answer:
12.25 m/s
Explanation:
The following data were obtained from the question:
Mass (m) = 1500 Kg
Radius (r) = 75 m
Centripetal acceleration (a) = 2 m/s²
Velocity (v) =?
Centripetal acceleration (a) is related to the velocity (v) and radius (r) according to the following formula:
a = v²/r
Thus, we can obtained the velocity of the car by using the above formula as illustrated below:
Radius (r) = 75 m
Centripetal acceleration (a) = 2 m/s²
Velocity (v) =?
a = v²/r
2 = v²/75
Cross multiply
v² = 2 × 75
v² = 150
Take the square root of both side.
v = √150
v = 12.25 m/s
Thus, the speed of the car is 12.25 m/s.
