The gravitational force when the distance between them is halved is 40 N
How to determine the gravitational force?Newton's law of universal gravity states as follow:
F = GM₁M₂ / r²
Where
F is the force of attraction K is the electrical constant M₁ and M₂ are the masses of the objects r is the distance apartFinding a relationship between force and distance, the following were obtained:
F = GM₁M₂ / r²
Cross multiply
Fr² = GM₁M₂
GM₁M₂ = constant
F₁r₁² = F₂r₂²
Now, we can obtain the new gravitational force of as illustrated below:
Initial gravitational force (F₁) = 10Initial distance (r₁) = rNew distance (r₂) = 1/2r = 0.5rNew gravitational force (F₂) =?F₁r₁² = F₂r₂²
10 × r² = F₂ × (0.5r)²
10r² = F₂ × 0.25r²
Divide both side by 0.25r²
F₂ = 10r² / 0.25r²
F₂ = 10 / 0.25
F₂ = 40 N
Thus, the gravitaional force is 40 N
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If the mass of an object is 2 kg, the gravitational field strength is 4 ms and the
change in height is 2 m, what is the change in gravitational potential energy stored?
The change in gravitational potential energy stored in 16 Jule.
What is gravitational potential energy?
In classical mechanics, of the gravtitational potential at in a location is equal to the work per unit mass that's would be needed to Move an object to that locations from a fixed references location. It is analogous to the electric potential with the mass playing the role of charge.
Sol-As per the given question ∆PE = mgh
M= skg
g= 4m/s^2
∆h = 2m
∆PE = 2m×4m×2m
= 16 Joules.
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Carbon -14 forms nitrogen -14 by? A.alpha decay B.gamma decay C.positron decay D.beta decay.
Nitrogen-14 is created through the beta decay of carbon-14. Beta particle emission occurs along with this kind of disintegration.
How does alpha decay work?The unstable nucleus emits alpha particles during this disintegration. A helium nucleus with two protons and two neutrons makes up an alpha particle. Additionally, it bears a +2 charge.
Beta decayThis kind of radioactive decay results in the emission of gamma rays. The process produces a lot of energy, yet the number of protons doesn't change.
How can carbon become nitrogen?Carbon has an atomic number of 6, while nitrogen has a number of 7. Since the only way that carbon-14 and nitrogen-14 differ from one another is in their atomic number. Nitrogen-14 is created through the beta decay of carbon-14. Only beta decay allows for the conversion of carbon-14 into nitrogen-14, and the number of protons remains constant.
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Which factor will not affect the strength of a solenoid?
Question 2 options:
number of wraps
strength of current
color of the wire
adding an iron core
The color of the wire is a factor that will not affect the magnetic strength of a solenoid.
What is a solenoid?A solenoid is a device that consists of a coil made of wire, a housing and a moveable armature. When an electrical current is flowing in the solenoid, a magnetic field forms around the coil which draws the plunger inside. A solenoid has the ability to convert electrical energy in the form of mechanical work.
The magnetic field created by a solenoid depends on the current and density of rounds. The energy density of the magnetic field depends on the strength of the magnetic field and also depends upon the magnetic permeability of the material present in it. Iron has a larger permeability as compared to a vacuum.
So we can conclude that option C is the correct answer.
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Scientists determine the masses of planets by observing the effect of the gravitational field of those planets on nearby objects - mainly upon their moons. By measuring the orbital period and orbital radius of a moon about a planet, Newton's laws of motion can be used to determine the mass of the planet. Phobos, a moon of the planet Mars, was discovered in 1877. It's orbital radius is 9380 km and its orbital period is 0.319 days (2.77 x 104 seconds). Determine the mass of Mars based on this data.
equal to 9380 into 10. To the power three m. T is equal to 2.77 into 10 to the power of four seconds. So the expression for finding the mass of mars as the Squire divided by r cube as equal to four Pi Square divided by G into em. So M will be equal to for by Squire. Our cue divided by G. The Squire. So now we can substitute the values That does four by Squire. indu 9380 into 10. to the power three all cube divided by Value of GS 6.67, 3 into 10 to the Power -11. Indu 2.77 into 10 to the power of four all Squire. By solving this, we will get the mosque as six point 363 into 10. to the power 23 kilogram
Motor oil, axle grease, and other lubricants are slippery. Why do you
think people spend the money to put these lubricants in their cars? Answer ASAP
Because there is less resistance, it is simpler to maneuver their vehicle and requires less effort.
How should we define force?The definition of force is physics states that when a mass-containing object is pushed or pulled, it alters its velocity. The ability to change a body's resting and moving state is actually possessed by force, an external agent. It moves and has a certain size.
What role does force play?Things move and, more precisely, change their motion as a result of force. The forces of magnetic forces and gravity are two examples of natural forces that humans have encountered. These two forces don't need to be in close proximity to each other to work because they act at a distance.
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I have three energy levels, with 10 electrons in my outer energy level. What am I?
I have three energy levels, with 10 electrons in my outer energy level. I am calcium.
What are energy levels?Energy levels refer to the regions around an atom where electrons can be found.
The energy levels are given by the principal quantum number, n.
Electrons in an atom are arranged in energy levels.
An atom that has three energy levels belong to period 3 of the periodic table.
The outermost energy level for an atom that has three energy levels is energy level 3.
The atom that has 10 electrons in the outermost energy level of 3 will have 10 + 8 + 2 electrons = 20 electrons.
The element is calcium.
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How much force in Newtons is required to accelerate a 5 kg bowling ball at 2 m/s²?
O 3 N
O 7 N
O 10 N
O 2.5 N⁰
URGENTTTTT HELP ME
Referring to the graph in the section header, what was his displacement between 100 and 300 seconds?
Question 2 options:
Question 3 (2 points)
Referring to the graph in the section header, what was the runner's velocity during segment D?
Answer:
V = (S2 - S1) / t = (750 - 500) m / (300 - 100) s = 1.25 m/s
Likewise during segment (D)
V = (0 - 750) m / (500 - 300) s = -3.75 m/s
Five gas molegules are choosen at random are found to have speed of 500,600,700, 800 and 900 m/s. Find the rms speed. Is it ghe same as average speed
Answer:
Explanation:
The rms speed:
Vrms = (500 + 600 + 700 + 800 + 900) / 5 = 700 m/s
An object with a mass of 7 kg accelerates 8 m/s2 when an unknown force is applied to it. What is the amount of the force?
The amount of force applied to the 7kg object that caused it to accelerate at 8m/s² is 56 newtons.
What is the force applied to the object?A force is simply a push or a pull of an object resulting from the object's interaction with another object.
From newton's second law;
Force = mass × acceleration
Given the data in the question;
Mass of the object = 7kgAcceleration = 8m/s²Applied force = ?Plug the given values into the formula to determine the applied force.
Force = mass × acceleration
Force = 7kg × 8m/s²
Force = 56kgm/s²
Force = 56 N
Therefore, the applied force is 56 newtons.
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What is a statement of relation between objects?
O Rule
O Concept
O Image
O Symbol
A statement of relation between objects is called as Concept.
How do you define a concept?
Concepts are regarded as intangible ideas. They are acknowledged as the basic conceptual building blocks of principles, thoughts, and beliefs.
They are critical to all facets of cognition. As a result, concepts are investigated by a variety of academic fields, including linguistics, psychology, and philosophy. These fields are curious about the logical and psychological structure of concepts as well as how they are combined to create thoughts and sentences.
An increasingly popular interdisciplinary approach known as cognitive science has made the study of concepts a focal point.
There are currently at least three popular approaches to understanding a concept:
Representations of ideas in the mind, where ideas are things that exist in the mind (mental objects). Concepts as abilities, where concepts are unique cognitive agent abilities (mental states)Concepts as Fregean senses—abstract things in contrast to mental objects and mental states.To learn more about concept from the given link
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Part A
Calculate the maximum increase in photon wavelength that can occur during Compton scattering.
Express your answer to three significant figures and include the appropriate units.
AA max = 4.85x10-12 m
What is the energy of the smallest-energy X-ray photon for which Compton scattering could result in doubling the original wavelength?
Express your answer in megaelectronvolts to three significant figures.
The electron receives some of the energy that belongs to the photon. If an object's energy declines, its frequency and wavelength get longer.
What is Compton effect?When a photon with energy hf collides with an electron that is stationary, compelling proof that light is composed of particles (photons) and that photons have momentum is produced. Although the electron receives a portion of the energy and momentum (the Compton effect), the energy and momentum are conserved in this elastic collision. The photon possesses hf/ energy following the collision, while the electron has K kinetic energy.
Energy is conserved as follows: hf = hf/ + K
Combining this with the momentum conservation formulae, the following equation may be used to demonstrate the relationship between the wavelengths of the incident and emitted photons:
Δλ = λ/ - λ = (h/mec) (1 - cosθ)
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Two friends, Burt and Ernie, are standing at opposite ends of a uniform log that is floating in a lake. The log is 4.0 m long and has mass 210 kg. Burt has mass 40.5 kg and Ernie has mass 25.5 kg. Initially the log and the two friends are at rest relative to the shore. Burt then offers Ernie a cookie, and Ernie walks to Burt's end of the log to get it.
Relative to the shore, what distance has the log moved by the time Ernie reaches Burt? Neglect any horizontal force that the water exerts on the log and assume that neither Burt nor Ernie falls off the log.
The distance that the log has moved till it got to where Ernie reached Burt would be 0.37m
How to solve for distanceWe have the following details that would be used to get the solution to this problem
length of log = 4. 0 m
The mass of the log is 210 kg
The weight pof Burt = 40 . 5 kg
The weight of ernie would be 25.5 kg
The formula to be used would be in the form of
x(mass of log) + x(mass of Burt) + mass of ernie (x - length of wood)
such that we would have
210x + 40.5x + 25.5(x - 4) = 0
210x + 40.5x + 25.5x - 102 = 0
276x - 102 = 0
cross sign to the other side
276x = 102
To get the distance we would have to divide through by 276 and this value that we would get is going to be the x value
276x / 276 = 102 / 276
x = 0.369
~ 0.37m
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A magnetic field points out of the page with B = 0.75 T . The wire shown carries a current of 69 A and has a length of 30 cm . What is the force exerted on the wire?
The force that acts on the conductor is obtained from the calculation as 15.5 N.
What is the force carried by the wire?We know that a magnetic field has to do with the region in space where the influence of a magnet can be felt. In this case, we have been told that;
The magnetic field of the conductor (B)= 0.75 T
The current (I) = 69 A
Length of the wire = 30 cm or 0.3 m
Let us recall the formula that says;
F = BIL
F = force on the conductor
B = magnetic field
L = length of the conductor
Thus if we substitute values;
F = 0.75 * 69 * 0.3
F = 15.5 N
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Find the work done in moving a particle from P (0.92, 2.5) to Q(−3.1, 5) if the force is ⃗v = −3.6ˆı + 2.1ˆ.
The magnitude of the work done on the particle by the applied force is 19.72 J.
What is work done?The work done in moving a charged particle is determined from the product of force and displacement of the object.
W = Fd
where;
F is the applied forced is the displacement of the particleThe magnitude of the particle's displacement is calculated as follows;
|d| = √[(x₂ - x₁)² + (y₂ - y₁)²]
where;
x₁ and x₂ are the initial and final position of the particle in horizontal directiony₁ and y₂ are the initial and final position of the particle in vertical direction|d| = √[(-3.1 - 0.92)² + (5 - 2.5)²]
|d| = 4.73 m
The magnitude of the force is calculated as follows;
F = √(-3.6² + 2.1²)
F = 4.17 N
The work done = 4.17 N x 4.73 m = 19.72 J
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An iron battleship is very heavy. How is it able to float?
If the water start at a height of 45 metered and has a mass of 250 kg what is the potential energy of the water
The potential energy of the water having height of 45 m and has a mass of 250 kg is 110,250 Joule.
The force acting on the two objects affects the potential energy formula. The formula for gravitational force is P.E. = mgh, where g is the acceleration caused by gravity (9.8 m/s2 at the earth's surface) and h is the height in meters.
Substituting the value of mass (m), height(h) and g in the formula of potential energy
P.E = mgh
P.E. = 250*9.8*45
P.E.= 110,250 J
What is potential energy?Potential energy is the power that a thing possesses as a result of where it is in relation to other objects. Because the earth can pull you down through the force of gravity while doing work in the process, being at the top of a stairwell gives you more potential energy than standing at the bottom.
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A bullet of mass 32g is fired from a gun. The graph above shows the variation of the force F on the bullet with time T as it travels along the barrel of the gun.
The bullet is fired at time T=0 and the length of the barrel is 0.70m.
(a) State and explain why it is inappropriate to use the equation S = ut + 1/2 a(t^2) to calculate the acceleration of the bullet.
(b) Use the graph to:
(i) Determine the average acceleration of the bullet during the final 2.0ms of the graph
(ii) show that the change in momentum of the bullet, as the bullet travels along the length of the barrel, is approximately 9Ns.
(c) Use the answer in (b)(ii) to calculate the
(i) speed of the bullet as it leaves the barrel
(ii) average power delivered to the bullet
(d) Use Newton’s third law to explain why a gun will recoil when a bullet is fired
Answer:79g +9a(y>3
Explanation::79g +9a(y>3
Every action has an equal and opposite response, states Newton's Third Law of Motion. When a bullet is fired from a gun, the gun exerts force on the bullet that causes it to move forward. The bullet also applies an equal and opposing force to the gun as it moves backward.
What variation of the force F on the bullet with time?The term “translational motion” refers to a motion in which the body moves in a straight line from one location to another. The motion of a bullet launched from a gun is an illustration of translational motion.As the bullet goes rearward, it exerts an equal and opposite force on the gun.
Therefore, A bullet loses kinetic energy and gains potential energy when fired vertically upward. At greater altitudes, the bullet continues to lose kinetic energy while gaining potential energy.
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A crowbar of 200 cm long is pivoted about to its other end to displace a load of 600 N. 0.5 m Calculate MA, VR and efficiency of the crowbar.
The mechanical advantage of the crow bar is 3 while the velocity ratio is 4. The efficiency of the machine is 75%.
What is the efficiency of the crow bar?We know that a machine is any device that can be used to make work a lot much easier. Thus, the machine is the object that could make less effort to be applied in making a greater work to be done as we can see in this case we have here.
From the question, the pieces of information that we can get are;
Distance moved by Effort = 200 cm
Distance moved by load = 0.5 m or 50 cm
Velocity ratio = Distance moved by Effort/Distance moved by load
= 200 cm /50 cm
= 4
Mechanical advantage is found to be; Load/Effort
= 600 N/200 N
= 3
Efficiency = Mechanical advantage/ Velocity ratio * 100/1
= 6/4 * 100/1
=3/4 * 100/1
= 75%
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two vehicle are moving in same direction the first one has velocity of 24m/s another has 18m/s find their relative velocity & also their relative velocity when they are moving in opposite direction
The relative velocity of two vehicles moving in the same direction will be 42 m/s, whereas the relative velocity of two vehicles moving in different directions will be 8 m/s.
Let the velocities of the two vehicles be, v1 and v2, respectively.
Given,
The velocity of the first vehicle (v1) = 24 m/s
The velocity of the second vehicle (v2) = 18 m/s
Case-1
When they are moving in a same direction,
The relative velocity (V) of the two vehicles will be the sum of their velocities, i.e.,
V = v1 + v2
=> V = 24 + 18
=> V = 42 m/s.
Case-2
When the vehicles are moving in different directions,
The relative velocity (V) of the two vehicles will be the difference between the velocities, i.e.,
V = v1 - v2
=> V = 24 - 18
=> V = 6 m/s.
Therefore, The relative velocity of two vehicles moving in the same direction will be 42 m/s, whereas the relative velocity of two vehicles moving in different directions will be 8 m/s.
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Mars has a mass of about 6.79 x 102³ kg, and its
moon Phobos has a mass of about 9.1 × 10¹5 kg. If
the magnitude of the gravitational force between
the two bodies is 4.98 x 10¹5 N, how far apart are
Mars and Phobos? The value of the universal
gravitational constant is
6.673 x 10-¹¹ N. m²/kg².
Answer in units of m.
When mass of Mars and Phobos are given then we can calculate that Mars and Phobos are 9.098x 10⁶ meters apart.
What is gravitational force?The gravitational force is that force that pulls objects with mass towards each other.
The formula for the gravitational force between two objects is given as:
Force = G (M1) (M2) / (distance²)
Given, Force = 4.98 x 10¹⁵N
G = 6.673 x 10⁻¹¹ N·m²/kg²
Given One mass = 6.79 x 10²³ kg
and Other mass = 9.1 x 10¹⁵ kg
Force = (G) · (M1) · (M2) / (distance²)
4.98x10¹⁵N = (6.673x10⁻¹¹N-m²/kg²)·(6.79x10²³kg)·(9.1x10¹⁵kg) / (distance²)
(distance²)·(4.98x10¹⁵N) = (6.673x10⁻¹¹N-m²/kg²)·(6.79x10²³kg)·(9.1x10¹⁵kg)
(distance²)=(6.673x10⁻¹¹N-m²/kg²)·(6.79x10²³kg)·(9.1x10¹⁵kg) / (4.98x10¹⁵N)
(distance²) = 8.279 x 10¹³ m²
distance = 9.098x 10⁶ meters .
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Pls helpppppppppppppppp
Answer:
Explanation:
velocity describes the directional speed of an object in motion as an indication of its rate of change in position (includes magnitude but not the direction) while acceleration is the change in velocity (inculdes direction and magintude)
Find the y-component of this
vector:
47.3 m
39.4°
Answer: 36.55
Explanation:
Answer:it is 30.03
Explanation:
A bowling ball weighing 68.0 N initially moves at a speed of 3.00 m/s. How long must a force of 38.0 N be applied to the bowling ball to stop it?
The time taken for the bowling ball to stop, given that a force of 38 N was applied is 0.55 s
How to determine the timeWe'll begin by obtaining the deceleration of the ball. This can be obtained as follow:
Weight of ball (W) = 68 NAcceleration due to gravity (g) = 9.8 m/s²Mass (m) = W / g = 68 / 9.8 = 6.9 KgForce (F) = 38 NDeceleration (a) = 5.71×10¹⁴Force (F) = mass (m) × deceleration (a)
F = ma
Divide both sides by m
a = F /m
a = 38 / 6.9
a = -5.5 m/s²
Finally, we shall determine the time. This is shown below:
Initial velocity (u) = 3.00 m/sDeceleration (a) = -5.5 m/s² Final velocity (v) = 0 m/sTime (t) =?a = (v – u) / t
-5.5 = (0 – 3) / t
-5.5 = -3 / t
Cross multiply
-5.5 × t = -3
Divide both sides by -5.5
t = -3 / -5.5
t = 0.55 s
Thus, we can say that the time required is 0.55 s
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1.- A car travels 10.0 km due north, then 8.00 km due east in 30.0 minutes. Find the
car's
Distance.
Displacement (indicate the angle too)
Average speed
Average velocity
(a)The displacement of the car is 12.8m
(b)The average speed is 10.0 m/s.
(c)The average velocity is 7.11 m/s.
What is displacement and distance?Distance is the real distance an object has traveled. The shortest distance between an object's initial and final positions is called displacement. It has a scalar value. A vector quantity, that is. An body can never travel a distance of zero.
Briefing:a. The vector sum of the different displacements yields the overall displacement. The Pythagorean theorem provides the vector sum since these displacements are perpendicular.
x2 = (10.0 km)² + (8.00 km)²
x = 12.8 km.
The angle is found using
tan q = (10.0 km/8.00 km)
q = 51.3° N of E.
b. Avg. Speed = Distance/Time = (18.0 km/30.0 min)(1000 m/1 km)(1 min/60 s) = 10.0 m/s.
c. Avg. Velocity = Displacement/Time = (12.8 km/30.0 min)(1000 m/1 km)(1 min/60 s) = 7.11 m/s.
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The complete question is -
A car travels 10.0 km due north, then 8.00 km due east, the total trip taking 30.0 minutes. Find (a) the displacement of the car, (b) the average speed (in m/s), and (c) the average velocity (in m/s).
Think about a demonstration with a deflated and inflated basketball. The basketball weighed more after it was inflated with air than when it was deflated. How does this show that gas is matter?
When basketball is inflated than there is more air resistance so weight that is force due to gravity is more.
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.
Deflated and inflated ball are with air and without air so mass varies hence we say it is matter as it occupies space inside the ball.
When basketball is inflated than there is more air resistance so weight that is force due to gravity is more.
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The mass of the sun is 1.99 x 1030 kg. The distance from the sun to Earth is 6.96 x 108 m.
How fast would you need to travel to escape the gravitational pull of the sun?
Use Newton’s law of universal gravitation.
F = Gm1m2/r^2
(Force) F= Newtons
G is the “Universal Gravitational Constant”. G = 6.67 × 10^-11 N m^2 kg^-2
M1 is the first mass, the Sun. Mass of the Sun = 2 x 10^30 kg
M2 is the second mass, the Earth. Mass of the Earth = 6 x 10^24 kg
DR is the distance between the two objects. Distance from the Earth to the Sun = 1.5 x 10^11 metres
F = Gm1m2/r^2
F = G x 2 x 10^30 x 6 x 10^24/ [1.5 x 10^11] ^2 = 6.7 x 10^11 N
You are holding a small helium balloon. Your friend says that the buoyant force from the atmosphere is greater on her car than your balloon. Is she correct? Explain your answer.
Buoyant force from the atmosphere is greater on her car than the balloon is a correct statement
buoyant force = - rho * g * V
where
rho = fluid density or in our case air density
g = acceleration due to gravity
V = volume of displaced liquid or volume of displaced air
volume of displaced air is more in the case of car as compared to balloon because car has larger volume then balloon .
and volume displaced is directly proportional to the buoyant force , hence buoyant force from the atmosphere is greater on her car than the balloon is a correct statement .
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Bill throws a 10.0-g ball straight down from a height of 2.0m. The ball strikes the floor at a
speed of 7.5 m/s. What was the initial speed of the ball?
The initial speed of the ball is 4.12 m/s.
What is speed?Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.
Given parameters:
Mass of the ball; M = 10.0 g.
Height from where ball straight down from : h = 2.0 m.
Final speed of ball; v = 7.5 m/s.
And we known that, acceleration due to gravity; g = 9.8 m/s²
We have to find: the initial speed of the ball: u = ?
We know that, v² = u² + 2gh
⇒ u² = v² - 2gh
⇒ u² =( 7.5)² - 2×9.8 ×2
⇒ u² = 17.05
⇒ u = 4.12 m/s.
Hence, the initial speed of the ball is 4.12 m/s.
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A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters. If 400Joules of work is done, how much force must have been applied?(1 point)
100 N
4000N
1600N
800N
Does anybody know how to solve something like this? I'm going through my notes and lesson by I can't find anything! I NEED THIS TODAY!!!
The force that is applied 100 N.
What is the force applied?We know that a lever is one of the kinds of simple machine that we have. The lever works by the fact that there is a load and an effort arm. We have been told that a lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters.
We can get the force that must be applied from the fact that;
Work = Force * distance
Force = Work/Distance
Force = 400/4
Force = 100 N
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