Answer:
The spring stretches or compresses 0.8 m (80 cm)
Explanation:
Hooke's Law
The force (F) needed to stretch or compress a spring by some distance Δx is given by
[tex]F=-k\Delta x[/tex]
Where k is a constant factor characteristic of the spring.
We are given the constant of a spring k=50 N/m and it's required to calculate the displacement Δx produced by a force of F=40 N. Solving for Δx:
[tex]\displaystyle \Delta x=\frac{F}{k}[/tex]
[tex]\displaystyle \Delta x=\frac{40}{50}[/tex]
Calculating:
[tex]\displaystyle \Delta x=0.8\ m[/tex]
The spring stretches or compresses 0.8 m (80 cm)
Knowing that a 1.2-kg object weighs 12 N , find the acceleration of a 1.2-kg stone in free fall
A type of dripstone formation where the deposits hang from the ceiling of the cave is called a ________________________________.
Group of answer choices
stalactite
carbonate rock
stalagmite
Answer:
Stalactites
Explanation:
these formations are created by dripping water in a cave that is rich in minerals that develop for hundreds of years. stalagmites are also known for their comedic name "cave bacon" I hope this helped!
A type of dripstone formation where the deposits hang from the ceiling of the cave is called a stalactite. Stalactites are formed when water containing minerals, such as calcium carbonate, drips from the ceiling of a cave. Over time, the water evaporates, leaving behind mineral deposits that build up and form a long, icicle-like structure hanging from the ceiling. Stalactites can vary in size and shape, and they are often found in caves with dripping or seeping water. They can take thousands of years to form, as the mineral-rich water slowly deposits minerals layer by layer.
The dorsal body cavity is divided into which two cavities?
the thoracic cavity
the cranial cavity
the vertebral cavity
the pelvic cavity
the dorsal cavity
Answer: the dorsal cavity
Explanation:
Dorsal body cavity is the body cavity in the human body which is located posteriorly and it comprises of two type of body cavities that are cranial and the spinal. The cranial cavity is formed inside the skull and it protects the vital organ brain inside the bony protection and the spinal cavity houses the spinal cord. Thoracic cavity and pelvic cavity are the ventral cavities that means they are present in the front of the body.
Answer:
the cranial cavity
the vertebral cavity
Explanation:
i got it right
HELP ME PLSSLSLSPSPS im stuck pls help
A 13.3 kg box sliding across the ground
decelerates at 2.42 m/s2. What is the
coefficient of kinetic friction?
(No unit)
an object 16n of force being applied to the right 126n of force being applied to the left and 4n force being applied downward what is the acceleration of an object if its mass was 0.35kg
Answer:
The acceleration of the object is 314.57 m/[tex]s^{2}[/tex].
Explanation:
From Newton's second law of motion,
F = ma
where: F is the force applied on an object, m is the mass of the object and a is the acceleration of the object.
⇒ a = [tex]\frac{F}{m}[/tex]
In the given question, the resultant force, F should be determined.
Total horizontal force, [tex]F_{x}[/tex] = 16 - 126
= -110 N
The horizontal force applied to the object is 110 N to the left.
Vertical force, [tex]F_{y}[/tex] = 4 N.
Resultant force, F = [tex]\sqrt{F_{x} ^{2} + F_{y} ^{2} }[/tex]
= [tex]\sqrt{(-110)^{2} + (4)^{2} }[/tex]
= [tex]\sqrt{12116}[/tex]
= 110.0727
Resultant force, F = 110.1 N
So that,
a = [tex]\frac{110.1}{0.35}[/tex]
= 314.5714
a = 314.57 m/[tex]s^{2}[/tex]
The acceleration of the object is 314.57 m/[tex]s^{2}[/tex].
A lever of length 1m has been used to lift a load of 600N by applying an effort of 200N. If load is at 20cm from fulcrum, calculate mechanical advantages, velocity ratio and efficiency
solve numerical problem
Answer:
1) The Mechanical Advantage of the lever is 3
2) The velocity ratio of the lever is 4
3) The efficiency of the lever is 75%
Explanation:
A lever is a simple machine that is used to lift a heavy load with a little effort or force
The mechanical advantage is the ratio of the force output to the force input
The given parameters of the lever are;
The length of the lever = 1 m
The weight of the load (force output), [tex]F_r[/tex] = 600 N
The effort applied (force input), [tex]F_e[/tex] = 200 N
1) The Mechanical Advantage, MA of the lever is given as follows;
[tex]MA = \dfrac{F_r}{F_e} = \dfrac{600 \ N}{200 \ N} = 3[/tex]
The Mechanical Advantage, MA of the lever = 3
2) The velocity ratio, V.R., is the ratio of the distance moved by the effort, [tex]L_e[/tex], to the distance moved by the load, [tex]L_r[/tex]
For the lever, we have;
The distance of the load from the fulcrum, [tex]L_r[/tex] = 20 cm = 0.2 m
Therefore, we have;
The distance of the effort from the fulcrum, [tex]L_e[/tex] = 1 m - 0.2 m = 0.8 m
From which we have;
[tex]V.R.= \dfrac{L_e}{L_r} = \dfrac{0.8 \ m}{0.2 \ m} = 4[/tex]
The velocity ratio of the lever = 4
3) The efficiency, η, is given as follow;
[tex]\%Efficiency, \, \eta = \dfrac{M.A.}{V.R.} \times 100 = \dfrac{3}{4} \times 100 = 75\%[/tex]
The efficiency of the lever is 0.75 or 75%.
Explanation:
The length of the lever = 1 m
The weight of the load (force output), F_rF
r
= 600 N
The effort applied (force input), F_eF
e
= 200 N
1) The Mechanical Advantage, MA of the lever is given as follows;
MA = \dfrac{F_r}{F_e} = \dfrac{600 \ N}{200 \ N} = 3MA=
F
e
F
r
The length of the lever = 1 m
The weight of the load (force output), F_rF
r
= 600 N
The effort applied (force input), F_eF
e
= 200 N
1) The Mechanical Advantage, MA of the lever is given as follows;
MA = \dfrac{F_r}{F_e} = \dfra
=
200 N
600 N
=3
The Mechanical Advantage, MA of the lever = 3
2) The velocity ratio, V.R., is the ratio of the distance moved by the effort, L_eL
e
, to the distance moved by the load, L_rL
r
For the lever, we have;
The distance of the load from the fulcrum, L_rL
r
= 20 cm = 0.2 m
Therefore, we have;
The distance of the effort from the fulcrum, L_eL
e
= 1 m - 0.2 m = 0.8 m
From which we have;
V.R.= \dfrac{L_e}{L_r} = \dfra
The distance of the load from the fulcrum, L_rL
r
= 20 cm = 0.2 m
Therefore, we have;
The distance of the effort from t
V.R.= \dfrac{L_e}{L_r} = \dfrac{0.8
L
e
=
0.2 m
0.8 m
=4
The velocity ratio of the lever = 4
3) The efficiency, η, is given as follow;
\%Efficiency, \, \eta = \dfrac{M.A.}{V.R.} \times 100 = \dfrac{3}{4} \times 100 = 75\%%Efficiency,η=
V.R.
M.A.
×100=
4
3
×100=75%
The efficiency of the lever is 0.75 or 75
A kid on a playground swing makes a complete to-and-fro swing each 2 seconds.
The frequency of swing is: ____________Hertz The period is: _________ Seconds
can someone please explain how to do this? Thanks.
Answer:
The frequency of the swing: 1/2 Hertz
The period is: 2 Seconds
Explanation:
The time the kid takes to make a complete to-and-fro swing = 2 seconds
The period, T, is the time it takes to make one complete cycle of an oscillatory motion, therefore, we have;
The frequency, f, is the number of cycles completed each second, therefore, we have;
The time for 1 cycle = 2 seconds
2 seconds = 1 cycle
Dividing both sides by 2 gives;
2/2 seconds = 1/2 cycles
2/2 = 1
In 2/2 = 1 seconds The number of cycles completed = 1/2 cycles
Therefore, the number of cycles completed per (one) second = 1/2 cycles
Therefore the frequency of the swing, f = 1/2 cycle/seconds = 1/2 Hertz
The period, T, is the time it takes to complete one to-and-fro swing which is one cycle which is 2 seconds
Therefore, the period is 2 Seconds.
Dentist description
One object has a mass of 1 kg and another object has a mass of 3 kg. If the speeds are the same, which of the following is true about their kinetic energy?
Their masses are the same.
The object with a higher mass has three times the kinetic energy of the less massive object.
It is impossible to determine without the speeds.
The object with a smaller mass has a greater kinetic energy than the object with a higher mass.
Answer:
The object with a higher mass has three times the kinetic energy of the less massive object.
We know that K.E.= 1/2 mv²
mass of first object = 1kg
speed = v
So K.E. = 1/2mv²
= 1/2 × (1) × v²
=
[tex] \: \: \: \: \: \: \: \: \: = \frac{1}{2} {v}^{2} \\ [/tex]
Now the mass of second body = 3kg
speed = v
So K.E. = 1(3)v²/2
=
[tex] \: \: \: \: \: \: \: \: \: = \: \: \frac{3}{2} {v}^{2} \\ [/tex]
now
K.E of first / KE of 2nd
[tex] \frac{1}{2} {v}^{2} \div \frac{3}{2} {v}^{2} \\ [/tex]
[tex]\frac{ \frac{ke \: of \: first \: }{ - - - - - - - - - - -} }{ \frac{ke \: of \: 2nd}{} } = \frac{ \frac{1}{ - -} }{ 3 } \\ \\ so \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ 3(ke \: of \: first \:) = ke \: of \: 2nd[/tex]
How is an ammeter connected in a circuit?
a. Next to the cell
b. Between 2 loads
c. In series with a load
d. Parallel to a load
An ammeter is connected series in a circuit. An ammeter is used to detect how much current is flowing through the circuit, so the Resistance of ammeter is very low by connecting it parallel to a circuit this may cause short circuit and burn the ammeter or the circuit.
define real machine.
Answer:
a piece of equipment with moving parts that does work when it is given power from electricity, gasoline, etc.
Explanation:
Have A Wonderful Day !!
How many atoms are in 3.5mol?
Answer:
A mole of any chemical is 6.02 x 1023 units of that chemical. So, 3.5 moles of carbon means 6.02 x 1023 x 3.5 atoms of Carbon.
Explanation:
What term best describes the driving force behind the movement of the plate tectonics? A Expansion B Convergence C Convection D Transformation
Answer:
convection in the mantle.
a friction force that acts on objects that are not in motion is what
Answer:
Static friction
Explanation:
Static friction is the friction force that acts on objects that are not moving.
6. A 50 N block is raised 2 m. If the net work done on the block is 50 J, what is the applied force on the block?
The force applied in raising the block to the given height is 25 N.
The given parameters:
weight of the block, Fn = 50 Nheight the block was raised, h = 2 mwork done on the block, W = 50 JThe force applied in raising the block to the given height is calculated as follows;
[tex]Work \ done= \ F \times d\\\\W = Fd\\\\F = \frac{W}{d} \\\\F = \frac{50 \ J}{2 \ m} \\\\F = 25 \ N[/tex]
Thus, the force applied in raising the block to the given height is 25 N.
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6. A jet aircraft travels 1200 km in 1 hr 20 min.
a. How many meters (m) does it travel?
b. For how many minutes does it travel?
c. And for how many seconds?
1200000
80min
4800seconds
The jet aircraft travels 1,200,000 meters, for 80 minutes, and for 4800 seconds.
a. To find the distance traveled in meters, we need to convert 1200 km to meters. There are 1000 meters in one kilometer, so the distance in meters can be calculated as follows:
Distance in meters = 1200 km × 1000 m/km = 1,200,000 meters.
b. To find the total time traveled in minutes, we have to convert 1 hour and 20 minutes to minutes. Since 1 hour is equal to 60 minutes, the total time in minutes is:
Total time in minutes = 1 hour × 60 minutes/hour + 20 minutes = 80 minutes.
c. To find the total time traveled in seconds, we need to convert the total minutes to seconds. There are 60 seconds in one minute, so the total time in seconds is:
Total time in seconds = 80 minutes × 60 seconds/minute = 4800 seconds.
Therefore, the jet aircraft travels 1,200,000 meters, for 80 minutes, and for 4800 seconds.
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An 800-newton person is standing in an elevator. If the upward force of the elevator on the person is 600 Newtons, the person
Answer:
person is accelerating downwards
Explanation:
We are told that the force of the person standing on the elevator is 800 N acting downwards.
We are also told that the upward force of the elevator on the person is 600 Newtons.
This means that Upward force is lesser than downward force and thus the person is accelerating downwards
Answer:
accelerating downward
Explanation:
Took it on test
A helicopter is moving past some clouds at a velocity of 5 km/hr north relative to the clouds. The clouds are moving past the ground at a velocity of 3.5 km/hr north. How fast is the helicopter going past the ground?
Answer:
8.5 km/hr
Explanation:
The helicopter is going past the ground at a velocity 8.5 km/hr in north direction relative to ground.
What is velocity?The rate at which a body's displacement changes in relation to time is known as its velocity. Velocity is a vector quantity with both magnitude and direction. SI unit of velocity is meter/second.
Given that:
Velocity of a helicopter with respect to the clouds is: v= 5 km/hr in north direction.
Velocity of the clouds with respect to the ground: u= 3.5 km/hr in north direction.
So, Velocity of a helicopter with respect to the ground: V = v + u
= ( 5 +3.5) km/hr in north direction.
= 8.5 km/hr in north direction.
Hence, the helicopter is going past the ground at a velocity 8.5 km/hr in north direction relative to ground.
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Explain why an object floats on water. Use terms like buoyancy force and gravitational
force.
Answer:
If an object pushes out an amount of water equal to its own weight, the upward force acting on it will be equal to gravity - and the object will float.
Explanation:
The buoyant force has an impact on the object in the water and equals the weight of the water displaced by the object. Every object placed in water has some buoyancy force that pushes it against the gravitational force, and this means that any object loses weight in the water.
Match the information below with the type of energy it can be used to calculate.
Words to fill the blanks:
1.
Potential Energy
2.
Kinetic Energy
3.
Both Potential and Kinetic Energy
Answer:
Explanation:
Mass - 3
Height - 1
Gravity - 1
Velocity - 2
Potential Energy: mgh
Kinetic Energy: 1/2mv^2
An electron and a proton are fixed at a separation distance of 973 nm. Find the magnitude and the direction of the electric field at their midpoint.
Answer:
The magnitude is: [tex]|E|=6084.1\: N/C[/tex]
The direction of E is in the negative x-direction.
Explanation:
The electric field equation is:
[tex]E=k\frac{Q}{r^{2}}[/tex]
Where:
Q is the charge (we can choose the electron or the proton)r is the distance (in our case is at the midpoint 973/2 nm)k is the Coulomb constant ([tex]9*10^{9}\: Nm^{2}C^{-2}[/tex])Using the electron charge ([tex]e = -1.6*10^{-19}\: C[/tex])
[tex]E=-9*10^{9}\frac{1.6*10^{-19}}{(486.5*10^{-9})^{2}}[/tex]
The magnitude is:
[tex]|E|=6084.1\: N/C[/tex]
The direction of E is in the negative x-direction.
I hope it helps you!
The magnitude and direction of an electric field is required.
The electric field at the midpoint is [tex]12168.21\ \text{N/m}[/tex] the direction is towards electron.
k = Coulomb constant = [tex]9\times 10^9\ \text{Nm}^2/\text{C}^2[/tex]
q = Charge of particle = [tex]1.6\times 10^{-19}\ \text{C}[/tex]
r = Distance between the electron and proton = 973 nm
The electric field will be
[tex]E=\dfrac{2kq}{\left(\dfrac{1}{2}r\right)^2}\\\Rightarrow E=\dfrac{8kq}{r^2}\\\Rightarrow E=\dfrac{8\times 9\times 10^9\times 1.6\times 10^{-19}}{(973\times 10^{-9})^2}\\\Rightarrow E=12168.21\ \text{N/m}[/tex]
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A stone tumbles into a mine shaft strikes bottom after falling for 3.8 seconds. How deep is the mine shaft
Answer:
70.8m
Explanation:
Given parameters:
Time of fall = 3.8s
Unknown:
Depth of the mine = ?
Solution:
To solve this problem, we use the appropriate motion equation as shown below;
S = ut + [tex]\frac{1}{2}[/tex] at²
S is the depth
u is the initial velocity = 0m/s
t is the time taken
a is the acceleration due to gravity
Now insert the parameters and solve;
Since u = 0;
S = [tex]\frac{1}{2}[/tex] at² = [tex]\frac{1}{2}[/tex] x 9.8 x 3.8² = 70.8m
which of the following can carry light waves but not sound waves
And explosion occur 17 km away the time it takes for it sound to reach your ears traveling at 340 m/s is
Answer:
t = 100secsExplanation:
The following data
Distance x = 17km = 17000m
Speed v = 340m/s
Using the formula to get the time;
2x = vt
t = 2x/v
t = 2(17000)/340
t = 34000/340
t = 100secs
Hence it takes 100seconds for the sound to reach your ears
HELP!!! ASP EASY QUESTION! WILL GIVE BRAINEST IF U ANSWER!
Without the ___, a plant wouldn't have any pollen.
The water table is the upper limit of the
zone of saturation.
zone of aeration.
aquifer zone.
well zone.
Answer:
zone of saturation
Explanation:
The water table is the upper limit of the zone of saturation. At the zone of saturation, the aquifers are filled with water completely. The void spaces within the rock particles are taken up by fluids.
The upper limit of this zone is the water table.
Above the water table is the zone of aeration where the pore spaces are filled within air.
During the time of recharge especially raining seasons, part of the zone of aeration are filled with water.
Answer:
zone of saturation.
Explanation:
What scientific concept is
being illustrated in this
model?
Answer:
the scientific concept being illustrated in this model is dispersion
Match these items. 1 . full moon a visible half-circle 2 . first-quarter moon darkest phase of the moon 3 . 13 degrees when the the Earth is between the sun and the moon 4 . 29 1/2 days this is a measurement of how far the moon advances each day in orbit 5 . new moon the time the Earth must rotate to return to same position relative to the moon
Answer:
1. First-quarter moon.
2. New moon.
3. Full moon.
4. 13 degrees.
5. 29 1/2 days.
Explanation:
A moon can be defined as the natural satellite of planet earth that shines as a result of the sun's reflected light, as it revolves around the earth from west to east in 29½ days.
1. First-quarter moon: a visible half-circle.
2. New moon: darkest phase of the moon.
3. Full moon: when the the Earth is between the sun and the moon.
4. 13 degrees: this is a measurement of how far the moon advances each day in orbit.
5. 29 1/2 days: the time the Earth must rotate to return to same position relative to the moon.
The mass of a lump of gold remains constant whereve
may be shifted to. Explain.
Explanation:
Mass of a lump of gold remains constant where they may be shifted to because mass is depends on the amount of matter within a substance.
Mass is an extensive property that depends on the variation of the quantity of matter in a body. If the mass of a substance is to remain constant, then no amount of matter must be added or removed from a body. When substances are taken away for a given body, then there would be an alteration in the value of its mass.At anywhere in the universe, the mass of a body is a constant provided there is no loss in the amount of matter it contains.
Which term represents the change of a substance from the solid phase to the liquid phase?
Answer:
it is called melting or phase transition :)
Explanation: