mg x sin A calculates the force pushing the mass down the hill. Additionally, this force has the same formula: m x a, where an is the actual acceleration in the plane. By dividing the difference between the two speeds by the provided time, or 5.07 m/s - 1.31 m/s / 1.73 s = 4.34 m/s2, the acceleration a may be calculated.
Ma is therefore equal to mg times sin A, or sin A = a / g, or 4.34 m/s2 times 9.81 m/s2 times 0.439.
A = arc sin(0.439)sin(26.0) =
How is friction defined?Friction is a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, such the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion.
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Jupiter has a gravitational field of 23.6 N/kg. Would you weigh more or less on Jupiter than you do on Earth?
Earth's gravitational field = 10N/kg
Jupiter's gravitational field = 23.6 N/kg
Jupiter's gravitational field > Earth's gravitational field
Therefore, we will weigh more on Jupiter.
The gravitational force exerted on a mass—typically located close to a planet's surface—is what gives something its weight. A different planet with a weaker gravitational field can cause an object's weight to varying. The gravitational field strength is expressed in Newtons per kilogram and increases with the size of the subject.What is Gravitational Field?In physics, a gravitational field is a model used to explain the effects that a large body stretches into the space surrounding it, creating a force on a smaller, more massive body. As a result, the newtons per kilogram (N/kg) gravitational field, which is utilized to explain gravitational phenomena, is used. In meters per second square (m/s2), it is equivalently expressed.The concept of gravity originally described a force between point masses. Since the 19th century, explanations of gravity have typically been taught in terms of a field model, rather than a point attraction. Pierre-Simon Laplace attempted to characterize gravity as some sort of radiation field or fluid, following Isaac Newton. Instead of two particles being attracted to one another in a field model, the particles deform spacetime due to their mass, and this distortion is what is sensed and quantified as a "force." According to such a hypothesis, gravity either doesn't exist or is a made-up force that causes stuff to move in specific ways in reaction to the curvature of spacetime.To learn more about Gravitational Field, refer to:
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it is possible to use a simple machine and gain no mechanical advantage
Answer:
yes
Explanation:
What is the wavelength in nanometers of light with a frequency of 2. 840 × 1014 hz?.
The wavelength is: 671nm (red light).
Wavelength relates to frequency as follows:
λ=vf
in which f is the frequency,
v is the speed of light, and
λ is the wavelength.
Filling this in for the example:
v=3⋅108ms f=4.47⋅1014
Hz=4.47⋅1014s−1λ
=3⋅108ms4.47⋅1014s−1
=6.71⋅10−7m
from m to nm is ⋅109
So the wavelength is: 671nm (red light).
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The acceleration of a moving object is given by the function a=8t+4. the object is initially 2m from the origin and moving to the right with a speed of 4 m/s. find the velocity at t=3s
The particle's speed at t=1 is 4 + 2 = 6 m/s. The particle moves at a speed of 4+22=8 m/s when t=2. The particle's velocity is 4+2t m/s after t seconds.
We presented the kinematic functions of velocity and acceleration using the derivative in Instantaneous Velocity and Speed and Average and Instantaneous Acceleration.
The velocity function was discovered by taking the derivative of the position function, and the acceleration function was discovered by taking the derivative of the velocity function.
We can calculate the velocity function from the acceleration function and the position function from the velocity function using integral calculus.
A particle travelling in a straight line whose velocity drops from 5 m/s to 2 m/s uniformly over the course of one second experiences a constant acceleration of 3 m/s2.
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a slender uniform rod 100.00 cm long is used as a meter stick. two parallel axes that are perpendicular to the rod are considered. the first axis passes through the 50-cm mark and the second axis passes through the 20-cm mark. what is the ratio of the moment of inertia through the second axis to the moment of inertia through the first axis?
the ratio of the moment of inertia through the second axis to the moment of inertia through the first axis is 0.676
The second axis is at the centroid of the rod.
The length of the rod is L = 100 cm = 1 m
The first axis is located at 20 cm = 0.2 m from the centroid.
Let m = the mass of the rod.
The moment of inertia about the centroid (the 2nd axis) is
Ig = ml^3/12 = (m kg) (1 m)^2/12 = m/12 kg - m^2
The parallel axis theorem states that
I1 = m/12+0.04 m = 0.1233 m kg - m2 is the moment of inertia about the first axis.
The ratio of the moment of inertia through the centroid of the second axis to the first axis is
Ig/I1= 0.0833 m / 0.1233 m = 0.676
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to sharpen a knife, you push with a force of 5n so that the edge of the knife is against a stone. the stone will sharpen the knife if it is spinning. the 30cm diameter stone is spinning at 200rpm and has a mass of 30kg. the coefficient of kinetic friction between the knife and the stone is 0.30. after 10 seconds of grinding what is the angular speed of the stone?
The final angular speed will be 194 rpm.
From the statement:
force = 5 N
mass of the stone = 30 kg
diameter of the stone = 30 cm = 0.30 m
the radius of the stone will be = 0.15 m
initial angular velocity = 200rpm
coefficient of kinetic friction = 0.3
time for which knife kept on stone = 10 s
moment of inertia (I) = 0.5mr² (considering the stone as a solid ring )
= 0.5 (30 × (0.15)²)
= 15 × 0.0225
= 0.3375 kgm²
Now ,we know that
torque = I α
Also torque = F x r (r = perpendicular distance )
here force will be μF = 0.3F
therefore ,
Iα = μF × r
0.5 (30 × (0.15)²) × α = 0.3 × 5 × 0.15
∴ α = 0.6
the value of acceleration will be negative as the wheel is slowing down
∴ α = - 0.6
Now , using the 1st equation of motion
ω' = ω +αt
ω' = 200 -0.6 (10)
ω' = 194 rpm.
Hence the angular speed of the stone will be 194 rpm.
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where are bone cells made of? select all that apply
heart,
liver,
blood vessels,
red bone marrow
Answer:
The answers are red bone marrow and blood vessels.
Explanation:
Bone marrow is made of stem cells. These stem cells make red bone marrow, which creates blood cells and platelets for your blood.
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What happens to the brightness of lightbulbs if you add them to each circuit?
Adding bulbs to a series will make them dimmer because current is reduced, adding bulbs to a parallel will make them brighter because the current through each individual bulb goes up.
Adding bulbs to a series will make them brighter because each bulb will take more current, adding bulbs to a parallel will not affect the brightness because the current through each individual bulb remains the same.
Adding bulbs to a series will make them dimmer because current is reduced, adding bulbs to a parallel will not affect the brightness because the current through each individual bulb remains the same.
Adding bulbs to a series will make them brighter because current is increased, adding bulbs to a parallel will make them dimmer because the current has to be split up between them.
Adding bulbs into a series will make them dimmer because the current is decreased, adding bulbs to a parallel will not affect the brightness because the current through each individual bulb remains the same.
Therefore, Option (C) is correct.
What are series circuits and parallel circuits?A series circuit is one where the same current flows through all the components in the circuit. The current has only one path in series circuits. A parallel circuit is one where the electric current has multiple paths to flow through. The components of the parallel circuits will have the same voltage across all ends.
When we connect bulbs in the circuit where all are connected in series then the net resistance of the circuit will increase and the voltage across each bulb will decrease.
Since voltage decreases across each bulb then the current across each bulb will decrease and the bulb gets dimmer because the current is reduced.
When we connect bulbs in parallel the voltage and current across each bulb will remain the same and then adding bulbs to a parallel will not affect the brightness.
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Two cars, each having a mass of 1,000 kg are being tested at the Department of Highway Safety facility. Car A is moving at 30 m/s to the north. Car B is moving at 15 m/s to the south. When they collide, which of the following is true?
a- Car A applies a greater force on car B than car B applies on car A.
b- Car A applies a force on car B equal to the force car B applies on car A.
c- Car B applies a greater force on car A than car A applies on car B.
d-Car A and car B do not have the same velocity; you cannot compare the forces.
Two cars, each having a mass of 1,000 kg are being tested at the Department of Highway Safety facility. Car A is moving at 30 m/s to the north. Car B is moving at 15 m/s to the south. When they collide a- Car A applies a greater force on car B than car B applies on car A.
Momentum, product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction. Isaac Newton's second law of motion states that the time rate of change of momentum is equal to the force acting on the particle.
When both the cars will collide , one with greater momentum will applies greater force .
As momentum is calculated as mass multiplied by velocity , since both the car have same mass then the car with a greater velocity will exert more force on the other car .
since , car A has a velocity of 30 m/s and car B is moving with a velocity of 15 m/s , then car A will have greater momentum and will exert a greater force on car B.
correct option will be
a- Car A applies a greater force on car B than car B applies on car A.
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\tusain bolt's record time for running the 100 meter dash is 9.58 seconds. if bolt had a mass of 94 kg at the time of his record-breaking run, what was his average momentum along the straight-line path?
his average momentum along the straight-line path id 981.21kgm/s
What is momentum ?
momentum is the result of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.
According to Newton's second law, if a particle is subjected to a constant force for a specific amount of time, the result of the force and time (referred to as the impulse) is equal to the change in momentum. On the other hand, a particle's momentum represents the length of time needed for a consistent force to bring it to rest.
Average velocity,
v = distance / time
= 100 m / 9.58 s
= 10.44 m/s
Now use:
momentum = m*v
= 94 Kg * 10.44 m/s
= 981.21 Kg m/s
Answer: 981.21 Kg m/s
his average momentum along the straight-line path id 981.21kgm/s
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A weight training ball is put on a ledge 3 m high. The potential energy of the ball on the
ledge is 200 J. What is the mass of the ball? Round your answer to the nearest tenth.
Rearrange the formula to solve for mass.
Use the formula to solve for the mass of the ball.
The mass of the ball is 6.8 kg.
Describe mass.A metric called mass is employed in physics to express inertia, a basic property of all matter. What it essentially is is the resistance of a mass of matter to changing its direction or speed in response to the application of a force.
Mass is not the same as weight in physics, despite the fact that weight is commonly determined using a spring scale rather than a balanced scale and directly compared with known masses. An object would weigh less on the Moon than it does on Earth despite maintaining the same mass because of the lower gravity there.
We know that the formula of potential energy is,
P.E = mgh
Where m is the mass of the object g is the acceleration due to gravity and h is the height.
Given :
PE = 200 J
g =9.8 m/s^2
h = 3m
Therefore according to the question,
3 x 9.8 x m = 200
=> m = 200 / 3 x 9.8
=> m = 6.8 kg
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a 5.0 g coin is placed 15 cm from the center of a turntable. the coin has static and kinetic coefficients of friction with the turntable surface of and the turntable very slowly speeds up to 60 rpm. does the coin slide off
The turntable rotates very slowly at 60 rpm, hence the coin does not slide off as the static friction force is greater than the centripetal force.
Missing data from the question:
Static coefficients of friction (μs) = 0.8
Kinetic coefficients of friction (μk) = 0.5
There are two forces works on the coin, the friction force and the centripetal force. The coin will start to slide off if the centripetal force is equal to the maximum static friction force.
Let:
Fs = static friction force
Fc = centripetal force
Fs = μs . mg
Fc = m . v²/R = m . ω²R
Where:
m = coin's mass
g = gravitational acceleration = 10 m/s²
ω = angular velocity
Parameters given:
R = 15 cm = 15 . 10⁻² m
m = 5 gram = 5 . 10⁻³ kg
ω = 60 rpm = 60 . 2π/60 = 2π rad/s
Hence,
Fs = μs . mg = 0.8 . 5 . 10⁻³ . 10 = 4 . 10⁻² N
Fc = m . ω²R = 5 . 10⁻³ . (2π)² . 15. 10⁻² = 2.96 .10⁻² N
Since Fs > Fc, hence the coin does not slide off.
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the coefficient of kinetic friction between the ramp and the lower box is 0.441, and the coefficient of static friction between the two boxes is 0.834. what force t do you need to exert to accomplish this?
Newton's second law states that the product of the box's mass and acceleration determines the net force acting on the object. T, which equals f= 23.52 N, must be applied in order to move up the ramp.
The behaviour of objects for which all external forces are balanced is predicted by Newton's first law of motion. According to the first law, sometimes known as the law of inertia, an object's acceleration will be zero metres per second per second if the forces acting on it are evenly distributed. When everything is in balance, or equilibrium, objects cannot accelerate. According to Newton, an item will only accelerate if another force is operating on it that is net or imbalanced. If an imbalanced force is present, the object will accelerate and change its direction and speed, or both. The behaviour of objects for whom all external forces are not balanced is covered by Newton's second law of motion.
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Why is it necessary to collimate the light source before using the prism to disperse the light?.
It necessary to collimate the light source before using the prism to disperse the light in order for the light rays entering the prism to be parallel.
What is a collimator?Collimator is a tool for converting a point source's divergent radiation into a parallel beam. To perform specific measurements in spectroscopy, geometrical optics, and physical optics, the light must be collimated.
What is a collimator made up of?An optical collimator is made up of a tube with a convex lens at one end and a variable aperture at the other end that is located in the lens' focal plane. To examine the image without parallax, radiation entering the aperture exits the collimator as a parallel beam.
Hence, collimation is needed for the light rays entering the prism to be parallel.
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consider the sprint of a quarter horse that has a maximum speed of 24 m/s and a maximum acceleration of 5.7 m/s2 (example 3.17 in the textbook). model the horse's velocity and acceleration with exponential functions.
Distance horse run with maximum acceleration at t = 2.0 s is s1=11.4 m , t = 4.0 s is s2=45.6 m and t = 8.0s is s3 = 141.54 m.
An object that is speeding occasionally has a constant change in velocity over time. As was said in the previous sentence, the data table above depicts an object increasing its velocity by 10 m/s every second. Since there is a constant change in velocity every second, this is known as a constant acceleration. Contrary to popular belief, an object with constant acceleration is distinct from one with constant velocity. Refuse to be duped! Furthermore, a moving item at a constant speed is not accelerating. The following data tables show the motions of objects moving at a constant acceleration and at a variable acceleration. The three main categories of accelerated motions are uniform, non-uniform, and average acceleration. When an item moves in a straight path with an increase in speed occurring at regular intervals of time, this motion is referred to as having uniform acceleration.
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Help!!
Batman is chasing the joker. If, while gliding down towards him at 75 m/s, it takes him 30 seconds to catch him, how far away was the joker? And how many kilometers is that?
If it takes 30 seconds for the Batman to catch the joker while gliding towards him at 75 m/s, batman is 2,250 meters away from the joker. In kilometers, the distance is 2.25 kilometers.
Distance is calculated by the product of the speed and time.
The speed of the batman is 75 m/s and the time taken by the batman to catch the joker is 30 seconds.
Hence the distance between joker and batman is calculated as:
Distance = 75 m/s × 30 s = 2250 meters
According to unit conversion from meters to kilometers, 1 kilometers has 1000 meters. Hence the distance in kilometers is, 2.25 kilometers.
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If two balls the same size and different masses go down a ramp, which ball would have more speed? (The greater mass or the less mass?)
If two balls the same size and different masses go down a ramp, they will move at the same speed.
The phrase "rolling down a frictionless slope" is illogical. The translational and rotational motions of the balls are completely uncoupled if the slope has no friction, and the balls just slide down the slope.
I believe the situation when there is static friction, allowing the balls to roll without slipping, is what you are most interested in.
In either case, the velocity as a function of distance along the ramp (v(s)) for uniform spheres ends up being independent of both the mass and the radius. Additionally, the duration of the descent is simply the integral of ds/v(s), which is also independent of the mass and radius.
As a result, they move at the same speed regardless of position and arrive at the bottom at the same moment.
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consider the previous problem involving the velocity addition law. let us pose a more general problem with a series of observers in a line: suppose one observer sees a second observer moving away from them at a speed . the second observer sees a third moving away from her in the same direction at . similarly, the third observer sees a fourth moving away from him, and so on up to some large number n. what is the speed of the n-th observer relative to the first observer?
The speed of the n-th observer relative to the first observer is n time the number of observers.
The relative velocity is described as the velocity of an item with appreciation to some other observer. it's miles the time fee of change of relative role of one object with recognize to some other item.
Absolutely the speed of an item is its velocity with appreciation to a hard and fast coordinate system, while the relative velocity of two objects is the difference among their velocities with appreciation to every other. The concept of relative movement speed in a plane is pretty much just to the entire idea of relative pace in an immediate line. considering various events, we take in more than one object moving in a body which is non-stationary in admiration to another viewer.
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3. A penguin waddles 8 m uphill before sliding back down to its friends in 2 seconds. If the penguin ends where it started, what is its velocity?
The velocity of penguin as he ends where he started was 0 m/s.
What is displacement?
Displacement is the length of straight line joining the initial and final position of the body.
Given is a penguin who waddled 8 m uphill before sliding back down to its friends in 2 seconds.
We know that the velocity is the rate of change of displacement with respect to time. Mathematically -
v = dx/dt
dx = v dt
∫dx = ∫v dt
Δx = vΔt
v = Δx/Δt
Now, the displacement of the penguin will be = Δx = 8 - 8 = 0
Then, its velocity will be -
v = 0/Δt = 0
Therefore, the velocity of penguin as he ends where he started was 0 m/s.
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Please Help Me!!
Imagine your friend was absent from class today. In your own words, explain how you can use water to measure the volume of an object.
9. NL5Q9
A rightward force of 14.0-N is exerted on a block to accelerate it across a friction-free surface. It accelerates at 3.45
m/s/s. If a second block of identical mass is dropped onto the first block, then what is the acceleration when the same
14.0-N force is applied to it. (Assume that there is no sliding between the first and second block.)
A force is a power that can exchange the movement of an object. A pressure can reason an object with mass to exchange its pace, i.e., to boost up. force can also be described intuitively as a push or a pull. A force has both value and path, making it a vector amount.
Acceleration is the price of change of the rate of an item with admire to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the internet pressure acting on that item
Force = mass × acceleration
since friction is zero
mass = Force / acceleration
= 14 / 3.45
= 4.0579 kg
On adding a second block of the same mass
total mass = 4.0579 + 4.0579 kg
= 8.2 kg
new,
acceleration = force/ mass
= 14/8.2
= 1.7073 m/s²
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What happens to the mechanical energy of the apple as it falls from the tree?
Answer:
When an apple falls from a tree tothe ground, the potential energy ofthe fall is converted into kineticenergy,which is kinetic energy. Whenan apple hits the ground, it convertskinetic energy into heat energy
Explanation:
Question:
What happens to the mechanical energy of the apple as it falls from the tree?
Answer:
When the apple falls from the tree, it has some gravitational potential energy due to its height. When it fails, the Gravitation Potential energy will begin converting into Kinetic Energy.
Number the steps for balancing equations:
Use coefficients to increase the atoms on each side.
Check to make sure you have the same number of each type of atom on each side.
Count the atoms on each side.
Identify the atoms on each side
The steps for balancing the equation is 3, 4, 2 and than 1. The balanced equation is very important for chemical reaction.
What is balanced chemical equation?A balanced chemical equation is defined as a formula where both the reactants and the products have the same amount of atoms of each kind.
It can also be defined as an equation for a chemical reaction that accounts for the overall charge and the number of atoms for each reacting element.
Steps for balancing the chemical equation
Tally up all the atom types in the reactants and products.In order to increase the number of atoms or molecules in the substances, add coefficients as necessary in front of the symbols or formulas.Up until the equation is in balance, repeat steps 1 and 2.Thus, the steps for balancing the equation is 3, 4, 2 and than 1. The balanced equation is very important for chemical reaction.
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Calculate the kinetic energy of a 1000 kg car moving at 4 meters per second
Kinetic Energy = 1/2 * m *(v*v)
M= 1000
V=3 m/s
KE=1/2 * 1000 * (4*4)
KE= 500*16= 8000 J.
To calculate kinetic energy Find the square of the object's velocity. Multiply this square by the mass of the object. The product is the kinetic energy of the object. The kinetic energy of a moving car is KE=1/2mv^2. Create and test a function called KE to find the kinetic energy of a moving car given a vehicle mass m and velocity v.
As every engineer knows calculating energy is easy. The unit of electrical energy is the kilowatt hour. It is determined by multiplying the amount of electricity consumed by the number of hours the electricity was consumed. Multiply this by the cost per kWh to get the total energy cost. There are five main types of kinetic energy radiant thermal, sound electrical, and mechanical energy. Radiant energy is related to ultraviolet and gamma rays that are constantly moving through space. Acoustic energy is kinetic energy in the form of vibration or noise.
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Answer:
Kinetic energy = 8 KJ
Explanation:
Given information,
→ Mass of car = 1000 kg
→ Velocity = 4 m/s
Now we have to,
→ Find the required Kinetic energy.
Let us assume that,
→ Kinetic energy = x
The formula we use,
→ KE = (1/2)mv²
Then the value of x will be,
→ x = (1/2)mv²
→ x = (1/2) × 1000 × (4)²
→ x = (1000/2) × 16
→ x = 500 × 16
→ x = 8000 J
→ [ x = 8 KJ ]
Hence, the answer is 8 KJ.
A wave crest passes a particular point every [tex]\frac{1}{10}[/tex] th of a second. Calculate the frequency of the wave.
Answer:
Explanation:
Given:
T = 1/10 s - Wave oscillation period
_____________________________
f - ?
The frequency of the wave:
f = 1 / T = 1 / (1/10) = 10 Hz
Tell us what you know about the nursing profession. How are you an underrepresented minority in nursing or an economically disadvantaged student?
The nursing profession offers specialized care from infancy to death. Social, psychological, and economic issues are some of the challenges faced by minority nurses.
The nursing profession is how significant?It is the nurse's responsibility to maintain continuity of care and develop a close closeness with the patient in order to foster trust and foster a climate that is safe for recovery. Numerous worldwide nursing codes of practice presently endorse patient advocacy.
Why is nursing necessary and what is it?Health promotion is promoted by nurses, who also teach patients and the general public how to avoid disease and damage, care for patients and help with treatment, take part in rehabilitation, and offer support. No other medical specialist has a job with such a wide-ranging and complex scope.
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Two identical balls are rolling toward one another, one from the left and the other from the right. The mass of each ball is 1.0 kg and the speed of each ball is 3.0 m/s. After an elastic collision, both balls roll away from one another at the same speed. What is the momentum of each ball before the collision and what is the total momentum of the two-ball system after the collision?
Each ball had a momentum of 3 kg m/s before the collision, and
the system of two balls had a total momentum of 0 kg m/s after the collision.
Given,
Each ball has a mass (m) of 1.0 kg.
Each ball moves at a speed (v) of 3.0 m/s.
Momentum (P) = Mass(m) x Velocity (v)
As a result of the identical mass and speed of both balls, the momentum of each ball before the collision would be:
P = mv
P = 1 * 3 kg m/s
P = 3 kg m/s
The momentum of each ball before the collision is 3 kg m/s.
When two identical balls roll in the opposite direction at the same speed with the same mass, their combined momentum would be as follows:
P = m₁v₁ - m₂v₂
P = 1 * 3 - 1 * 3
P = 3 - 3
P = 0 kg m/s
The collision is elastic, thus. The entire momentum before and after the collision is zero (0).
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A car travels at 15 m/s for 10,0s. It speeds
up with an acceleration of 0.2 M/S² for 15.0 s. At the
end of this time What is its velocity?
If acceleration, acceleration would be too fast in square metres. Therefore, this information equals the final minus initial divided by a, which is 15 m/s minus 5 m/s divided by 2 m/s squared. Five seconds are involved.
What three forms of projectile motion are there?The three different forms of projectile motion are as follows: motion of a horizontal projectile. projectile motion that is oblique. Motion of a projectile on an incline
An item or particle that is thrown toward the surface of the Earth and moves along a curved route only under the influence of gravity is said to be experiencing projectile motion.
The movement of a falling item (projectile) after being assigned a forward beginning velocity The only forces affecting a projectile are gravity and air resistance. The ball travels along a curved route as a result of its initial forward velocity and the downward vertical pull of gravity.
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a rugby player passes the ball 8.25 m across the field, where it is caught at the same height as it left his hand. at what angle was the ball thrown if its initial speed was 12.0 m/s, assuming that the smaller of the two possible angles was used?
Of the two possible angles, the smaller angle is θ = 17.075°.
What is the formula for range?The distance between a projectile's launch point and its point of impact with the ground, assuming it is fired from the ground, is referred to as the range.
R = [u²sin (2θ)]/g
Given values;
Range of pass; R = 8.25 m
Speed; u = 12 m/s
R = [u²sin (2θ)]/g
Thus;
8.25 = 12² × (sin(2θ))/9.8
(sin(2θ)) = ( 8.25 × 9.8)/12²
(sin(2θ)) = 0.5614
2θ = sin⁻¹(0.5614)
2θ = 34.15
θ =34.15/2
θ = 17.075°
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a rowboat is being pulled by two ropes tied to the front of the boat. one rope is along the x-axis direction and exerts a force of 50 n. the other is along the y-axis direction and exerts a force of 100 n. what is the magnitude of the net force that the ropes exert on the boat?
If the two known sides of the force triangle are drawn to scale, we can determine the magnitude of the resultant vector by measuring the length of the vector and by the scale factor used for the other two sides.
The size of the force triangle can be determined by measuring the length of the resultant vector and multiplying it by the scale factor used for the other two sides if the two known sides of the force triangle are drawn to scale. We can measure its angle using a compass from the same reference line to determine its direction.
The force triangle must be drawn accurately, and the length and angle of the resulting triangle must be measured precisely for the graphical approach to be accurate. Consequently, a significant mistake could be introduced.
Using the laws of sines and cosines to solve for the resultant is an alternate method. To do this, we must first identify the scale force triangle's angle b. Since the opposite corners of a parallelogram have identical angles, we may calculate the value of b using the force parallelogram given below.
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