Use this free body diagram to help you find the magnitude of the force needed to keep this block in static equilibrium.
А.15.3 newtons
В.36.3 newtons
C. .63.5 newtons
D. 95.5 newtons
Answers
Split F₁ into its horizontal and vertical components:
F₁ = F₁ cos(θ) i + F₁ sin(θ) j
(boldface = vector; regular font = magnitude)
By Newton's second law, if the object is in equilibrium, then
• the net horizontal force on the block is
∑ F = F₁ cos(θ) - F₃ = 0 → F₁ cos(θ) = 70 N
• the net vertical force is
∑ F = F₁ sin(θ) + F₂ - W = 0 → F₁ sin(θ) = 65 N
Recall that cos²(θ) + sin²(θ) = 1 for any θ, so we have
(F₁ cos(θ))² + (F₁ sin(θ))² = (70 N)² + (65 N)²
F₁² = 9125 N²
F₁ = √(9125 N²) ≈ 95.5 N
Related Questions
What is the frequency of a wave with a period of 8s?
Answers
The weight of a luggage is 69.3 N on the moon. Find its weight on the Earth.
Answers
Answer:
415.8N
Explanation:
Given:
weight of a luggage = 69.3 N
But
✓(weight on the Earth) is equivalent to 6 times weight if the moon.
✓Then, weight on the Earth) =( 69.3N × 6)
✓weight on the Earth) = 415.8N
A family is driving from Vancouver to Calgary, a distance of 907.3 km. During the first 300 km, they average 92 km/h. They stop for lunch for 38 min. They arrive in Calgary 8 h and 21 min after their lunch break.. What was their average speed (in km/h) for the entire journey, including the break?
Answers
Answer:
89 i would say
Explanation:
2. Why is alcohol thermometer not suitable to measure high temperature?
Answers
Answer:
Alcohol thermometers are used rather than mercury thermometers in very cold regions because alcohol has a lower freezing point than mercury. Pure ethanol freezes at -115 degrees C, while mercury freezes at -38 degrees C.
Explanation:
It is less durable because alcohol evaporates faster than mercury. It cannot measure high temperature because of a low boiling point. It wets the walls of the thermometer, which can adversely impact the accuracy of readings
If a fish is trying to capture insect hovering above the surface of water – how will it jump to catch it? Will it aim above or below what it sees? Explain.
Answers
Answer:
Above
Explanation:
yes
11. A sensitive thermometer is one which
A. Is sensitive to heat
B. has large bore
C. can record big changes in temperature
D. can record small changes in temperature
Answers
Answer:
A. ls sensitive to heat
this is correct answer
I hope it's helpful for you.......
A mechanic uses a screw driver to install a 1⁄4-20 UNC bolt into a mechanical brace. What is the mechanical advantage of the system? What is the resistance force if the effort force is 5 lb
Answers
Answer:
15.7 ; 78.5
Explanation:
Given that
The mechanic use a screw driver to install 1⁄4-20 UNC bolt
And, the effort force is 5lb
We need to find out the mechanical advantage
And, the resistance force
As we know that
The Mechanical advantage of a screw = Circumference ÷ pitch
where,
Circumference = pi × d
pi = 3.142, D = diameter
So,
Circumference = 3.142 × (1 ÷ 4)
= 0.785 in
Now
Pitch = 1 ÷ TPI
Here TPI (thread per inch) = 20
Pitch = 1 ÷ 20 = 0.05
So,
Mechanical advantage = 0.785 ÷ 0.05
= 15.7
Now Resistance force if effort force is 5lb
We know that
Mechanical advantage = Fr ÷ Fe
Here
Fe = effort force, Fr = resistance force
15.7 = Fr ÷ 5
Fr = 15.7 × 5
= 78.5 lbs
Dani says, "This classroom is 11 meters long. A meter is longer than a yard, so if I measure the length of this classroom in yards, I will get less than 11 yards."
Do you agree with Dani ?
Answers
Answer:
im not sure i just need points....
Explanation:
So what is 27+22? Is it
A 8338
B 8282
C 8228
D 8234
Answers
Answer:
You put the add sign, so it would be 49. I don't believe that is what you meant to put though.
Explanation:
i gotchu, 27+22 so you take the 8 and multiply that by the number of times you blink every 2 minutes and then divide that by 0×1 and carry the 3 and that gives you -7
I need help plz!!! Please help...
Answers
Answer: 60
Explanation:
Three resistors of resistances, R1=10Ω, R2=5Ω, R3=20Ω are connected in a circuit in such way that same amount of current flows through them. Draw a circuit diagram showing the correct connections of the three resistors, a cell of 2.5V, an ammeter and a voltmeter across R3. Calculate the potential difference across R3.
Answers
Answer
Explanation:
As the three resistors are connected in series, the expression to be used for the
calculation of RT equivalent resistance
is:
RT = R1 + R2 + R3
We replace the data of the statement in the previous expression and it remains:
5 10 15 RT + R1 + R2 + R3 + +
We perform the mathematical operations that lead us to the result we are looking for:
RT - 30Ω
Which of the following is an example of a chemical reaction? A. mixing sugar and water B. melting wax c. tearing up a piece of paper D.burning paper
Answers
Answer:burning paper
Explanation: it’s burned, you can’t put it back together ( you can’t undo a chemical reaction/ change )
Sara travels east 6 miles and then goes south 3 miles and then north 8 miles. What is her displacement? Round
your answer to two significant figures.
a
Ob
6.3 miles SW
7.8 miles SW
0 miles
5.7 miles SW
7.8 miles NE
6.3 miles NE
od
Оe
Of
5.7 miles NE
Oh
9.1 miles sw
9.1 miles NE
Answers
Answer:
Explanation:
so her displacement is the distance from the start... she's now at a point (6,5) away from the start.. so what's the length of the side of the right triangle made by one side of 6 and the other of 5
Yes.. use Pythagoras theorem to solve this
C = √([tex]6^{2}[/tex]+[tex]5^{2}[/tex])
C = √(36 + 25)
C = √61
C = 7.810 miles.. north east of where she started
C = 7.8 miles NE :P
If the vehiche has a speed of 24.0 m/s at point a what is the force of the track on the vehicle at this point?
Answers
Question:
A roller-coaster vehicle has a mass of 500 kg when fully loaded with passengers. If the vehicle has a speed of 20.0 m/s at point A, what is the force exerted by the track on the vehicle at this point?
See attachment
Answer:
33700 Newton
Explanation:
Given
[tex]m = 500kg\\v = 24.0m/s\\r=10m[/tex]
First, we determine the forces acting on mass m.
They are: the force exerted by the track (Fn) and the weight of the vehicle (W)
So, the net force is:
[tex]F_{net} = F_n - W[/tex]
[tex]W=mg[/tex]
So:
[tex]F_{net} = F_n - mg[/tex]
Make Fn the subject
[tex]F_n = F_{net} + mg[/tex]
Fnet is calculated as:
[tex]F_{net} = F_c = \frac{mv^2}{r}[/tex] --- i.e. the centripetal force
So:
[tex]F_n = F_{net} + mg[/tex]
[tex]F_n = \frac{mv^2}{r} + mg[/tex]
[tex]F_n = \frac{500 * 24^2}{10} + 500 * 9.8[/tex]
[tex]F_n = 28800 + 4900[/tex]
[tex]F_n = 33700N[/tex]
A hot-air balloon with a mass of 400 kilograms moves across the sky with 3,200 joules of kinetic energy. The velocity of the balloon is meters/second.
Answers
Answer:
4 m/s
Explanation:
KE =
Velocity of balloon will be 4 m/s.
!! Hope It Helps !!
Pls help!
sponge
sandworm
crab
sea star
flatworm
Which characteristic do these animals have in common
Answers
Answer:
they havve to stay in water to survive
Explanation:
So their are sea animals
Help pweaseeee ill give u a brainlest
Answers
Answer:
Mass of the larger object
A student is blowing against the mouthpiece of a 668mm flute (open at both ends) causing it to resonate. (The air inside and outside the flute is 24.5°C)
1) what is the speed of the sound in the flute?
2) what is the fundamental frequency of the note produced?
3) what is the wavelength of the sound wave?
Answers
Answer:
a) v = 345.5 m / s, b) f = 183.8 Hz, c) λ = 1,336 m
Explanation:
a) the speed of sound depends on the density of the medium and this depends on the temperature, therefore
v = [tex]v_o \ \sqrt{1+ \frac{T}{273} }[/tex]
where v₀ is the speed of sound at 0ºC v₀ = 331 m / s
v = 331 [tex]\sqrt{1 + \frac{24.5}{273} }[/tex]
v = 345.5 m / s
c) In the exercise they indicate that the flute is a tube with the two ends open, so that at each end there is a belly, the resonance is
λ / 2 = L
λ = 2L
λ = 2 0.668
λ = 1,336 m
b) let's apply the relationship between speed, wavelength and frequency
v = λ f
f = v /λ
f = 345.5 / 1.336
f = 183.8 Hz
Electrical potential is measured in units called what
Answers
Answer:
Electrical potential is measured in units called volts.
Decribe what must happen inside of an aluminum can in order for it to be attracted to a positively-charged and to a negatively-charged object
Answers
Answer:
The PROTONS in the can attract to the negatively charged object, so then the can becomes polarized and the ELECTRONS in the can attract the positively charged object.
Explanation:
The PROTONS inside the can entice to the negatively charged object, so then the can will become polarized and the ELECTRONS in the can appeal to the undoubtedly charged item.
How are proton and electron associated?The number of protons within the nucleus of the atom is identical to the atomic range. The variety of electrons in an impartial atom is identical to the number of protons. The mass range of the atom (M) is equal to the sum of the wide variety of protons and neutrons inside the nucleus.
Protons definitely charged subatomic particles that live in the nucleus. Neutrons: Neutrally charged subatomic particles that are living in the nucleus. Electrons: Negatively charged subatomic debris found inside the electron shells surrounding the nucleus.
An electron is a negatively charged factor of an atom while the proton is an undoubtedly charged frame. The electrons are present out of doors the nucleus inside the orbiting shells. But the protons alongside neutrons shape the nucleus of the atom and are gifted in the middle of the atomic nuclei.
Learn more about electron and proton here: https://brainly.com/question/4894505
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Identify the equation used to calculate the gravitational force (Fc) acting on a block on an inclined plane.
A) F=mg
B) F=mg sin
C) F=mg cos
D)F=mg tan
Answers
Answer:
the answer is b
Explanation:
The answer is b
I NEED THIS RIGHT NOW, PLEASE HELP!!!
Answers
F=2400*3.6
F=8640 newton
Describe the forces that are acting on a person who is standing still on a sidewalk, and identify whether the forces are balanced or unbalanced. Describe how the forces would change if the person started walking.
Answers
Answer:
a. i His weight and the normal force on him due to the ground
ii The weight and the normal force are balance
b. There are four forces acting on him while he is walking. These are the backward push due to his leg on the ground and the frictional force between his feet in the horizontal direction and, his weight and normal force on his feet in the vertical direction.
Explanation:
a. i Describe the forces that are acting on a person who is standing still on a sidewalk
His weight and the normal force on him due to the ground act on him while the person is standing on the sidewalk
ii. identify whether the forces are balanced or unbalanced.
The weight and the normal force are balance because, the person does not move in the vertical or horizontal direction.
b. Describe how the forces would change if the person started walking.
When the person starts walking, the backward push due to his leg on the ground and the frictional force between his feet and the ground now acts on him in the horizontal direction. The frictional force acts in the forward direction and tends to move him forward. His weight and normal force on his feet still act vertically and are both balanced since he does not move in the vertical direction.
So, there are four forces acting on him while he is walking. These are the backward push due to his leg on the ground and the frictional force between his feet in the horizontal direction and, his weight and normal force on his feet in the vertical direction.
to lift
With a pulley system, you use more rope (distance), but need less (blank) to lift
the load
Answers
Ok so it is working ok!
T/F The outer planets have solid surfaces that are very rocky and dense
Answers
Answer:
False
Explanation:
the inner planets have solid rocky dense surfaces
A sound wave is produced by a musical instrument for 0.40 second. If the frequency of the wave is 370 hertz, how many complete waves are produced in that time period? *
A) 200 waves
B)150 waves
C)100 waves
D) 50 waves
Answers
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
The number of waves produced by the musical instrument during the given time is 148 waves.
What is meant by frequency of a wave ?Frequency of a wave is defined as the number of oscillations completed by the wave in one second.
Here,
The frequency of the wave, f = 370 Hz
That means the wave completes 370 oscillations in 1 second. Or 370 waves are produced by the musical instrument in 1 second.
The time taken by the instrument to produce waves, t = 0.4 s
Therefore,
The number of waves produced by the musical instrument during this time is,
n = f x t
n = 370 x 0.4
n = 148
Hence,
The number of waves produced by the musical instrument during the given time is 148 waves.
To learn more about frequency of a wave, click:
https://brainly.com/question/3693482
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The energy of a photon was found to be 3.38 x 10-19 J. Planck's constant is 6.63 x 10-34 J. S. Which color of light corresponds to this photon?
violet
green
yellow
red
Answers
Answer:
The correct option is (c).
Explanation:
Given that,
The energy of a photon is, [tex]E=3.38\times 10^{-19}\ J[/tex]
We need to tell the color of this light. We know that, the energy of a photon is given by :
[tex]E=\dfrac{hc}{\lambda}[/tex]
Where
c is the speed of light
[tex]\lambda=\dfrac{hc}{E}\\\\\lambda=\dfrac{6.63\times 10^{-34}\times 3\times 10^8}{3.38 \times 10^{-19}}\\\\\lambda=5.88\times 10^{-7}\ m\\\\\lambda=588\ nm[/tex]
The wavelength of yellow light is approx 580 nm. Hence, we can say that this photon corresponds to yellow light.
Answer:
B. Green
Explanation:
correct on EDGE2021
A car traveling at 65 mph is an example of its
Answers
Answer:
Speed
Explanation:
The distance traveled by an object in a unit of time is speed
Which of the following shows the relationship between work and energy?
O A. Work = total energy
B. Work = gravitational potential energy
C. Work = change in kinetic energy
D. Work = change in nonconservative forces
Answers
what forces are being used when walking a dog and how ?
Answers
Gravity: The earth exerts a gravitational force on each particle in your body that has mass. Overall, this can be represented as a single force that pulls directly toward the center of the earth from the point called your center of mass.
Normal Force: The contact between your feet/shoes and the ground exerts a force normal (straight out from) the ground. If you are on flat ground, this force is directly opposite the force of gravity, and in most cases will be equal to it such that you have no vertical net force.
Friction: Friction between your shoes/feet and the ground, pointing parallel to the ground and in the direction of your walking motion creates the force necessary for you to move. The microscopic peaks and valleys of the ground and your feet/shoes create small normal forces that can sum into a direction of motion.
Air Buoyancy: Since you are in a fluid, the mass of the fluid you displace creates an upward force away from the center of the earth. Since the density of air is miniscule, this force is generally neglected except in the most precise of circumstances.
Drag and Air resistance: While you walk, as you move through a fluid, that fluid exerts friction on your body in the form of drag. It is usually small unless you’re moving very fast relative to the fluid.
Air pressure, blood pressure, body tensions: Your body has a balance of blood pressure, muscle tensions, which oppose outside air pressures which equalize out to form the shape your body is in.
Internal forces: Many forces act within you such as air pressure, other muscle tensions, and internal stresses which balance out. Usually in physics these are lumped under internal forces.
