2. A sailor pushes a 100.0 kg crate up a ramp that is 3.00 m high and 5.00 m long onto the deck of a ship. He
exerts a 650.0 N force parallel to the ramp. What is the mechanical advantage of the ramp? What is the
efficiency of the ramp? Your response should include all of your work and a free-body diagram.
Answers
Answer:
Mechanical advantage of the ramp = [tex]\frac{980}{650} = 1.51[/tex]
Efficiency of the ramp = [tex]\frac{Actual\hspace{0.1cm} work\hspace{0.1cm} done}{Work}[/tex] = [tex]\frac{100\times 9.8\times 3}{650\times 5} = \frac{2940}{3250} = 0.9046 = 90.46%[/tex]
Explanation:
i) Mechanical advantage of the ramp = [tex]\frac{980}{650} = 1.51[/tex]
ii) Efficiency of the ramp = [tex]\frac{Actual\hspace{0.1cm} work\hspace{0.1cm} done}{Work}[/tex] = [tex]\frac{100\times 9.8\times 3}{650\times 5} = \frac{2940}{3250} = 0.9046 = 90.46%[/tex]
The mechanical advantage and the efficiency of the ramp are respectively;
330 N and 90%
Mechanical advantage and EfficiencyI have drawn an image of the force diagram on the crate and attached it.
Applying Newton's second law to the force diagram attached, we have;
F_fric + F + N + mg = 0
Projecting forces gives us;
In the x-direction;
F = F_fric + mg*sin α
In the y-direction;
N - mg*cos α = 0
Also;
F_fric = μmg*cos α
Thus;
F = (μmg*cos α) + (mg*sin α)
Mechanical advantage is;
ΔF = mg - F
ΔF = mg - mg((μ cos α) + (sin α))
Since the ramp is 3 m high and 5 m long, then by trigonometric ratios;
(sin α) = 3/5
cos α = 4/5
But we are given that F is 650 N.
Thus;
ΔF = (100 × 9.8) - 650
ΔF = 330 N
Efficiency of the ramp is;
η = (mgh/Fl) × 100%
η = (100 × 9.8 × 3/(650 × 5)) × 100%
η ≈ 90%
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Related Questions
Which of the following is most closely related to the unit of time that humans call the month?
A.
the rotation of the Earth once on its axis
B.
the cycle of the Moon through all its phases
C.
the rotation of the Sun once on its axis
D.
the revolution of the Earth once around the Sun
Never mind found the answer
Answers
Answer:
the rotation of the earth once on its axis
If you push a block of wood under the water if a force on your hand. explain.
Answers
Answer:
The buoyant force pushing up is greater than the force of gravity pushing down, and you feel the unbalanced force pushing on your hand.
Explanation:
If you have any questions feel free to ask in the comments - Mark
Also when you have the chance please mark me brainliest.
Answer:
The buoyant force pushing up is greater than the force of gravity pushing down, and you feel the unbalanced force pushing on your hand.
Explanation:
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Have a nice day!!!!
ways to stop pollution
Answers
Answer:
on days when high particle levels are expected, take these extra steps to reduce pollution:
Explanation:
1) reduce the number of trips you take in your car.
2) reduce or eliminate fireplace and wood stove use.
3) avoid burning leaves, trash, and other materials.
4) avoid using gas-powered lawn and garden equipment.
E14. A ball rolls off a table with a horizontal velocity of 5 m/s. If
it takes 0.6 seconds for it to reach the floor,
a. What is the vertical component of the ball's velocity just
before it hits the floor? (Use g = 10 m/s2.)
b. What is the horizontal component of the ball's velocity
just before it hits the floor?
Answers
a) To get the vertical component of the ball's velocity just before it hits the floor, we will use the equation of motion expressed as:
[tex]v_y = u + gt[/tex]
where:
u is the initial velocity
g is the acceleration due to gravity
t is the time taken
Given the following:
u = 0m/sg = 10m/s²t = 0.6secsSubstitute into the formula as shown:
[tex]v_y=0+10(0.6)\\v_y=6.0m/s[/tex]
Hence the vertical component of the ball's velocity just before it hits the floor is 6.0m/s
b) Since the ball rolls off a table with a horizontal velocity of 5 m/s, hence the horizontal component of the ball's velocity just before it hits the floor
is 5m/s
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The vertical component of the ball's velocity just before it hits the floor is 6 m/s and the horizontal component of the ball's velocity just before it hits the floor is 5 m/s.
Explanation:a. The vertical component of the ball's velocity just before it hits the floor can be calculated using the formula v = gt, where g is the acceleration due to gravity and t is the time. Therefore, v = 10 m/s2 x 0.6 s = 6 m/s.
b. The horizontal component of the ball's velocity just before it hits the floor remains the same as the original horizontal velocity, which is 5 m/s. This is because in the absence of air resistance, there are no horizontal forces acting on the ball after it leaves the table, so its horizontal velocity remains constant.
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What is the kinetic energy of a 3 kg object moving at 4 m/s?
Answers
Answer:
kinetic energy of the object is 24 J
Explanation:
As we know that kinetic energy is given as
[tex]K = \frac{1}{2}mv^2[/tex]
here we know that
m = 3 kg
v = 4 m/s
so we will have
[tex]k = \frac{1}{2}(3)(4^2)[/tex]
[tex]k = 24 J[/tex]
so kinetic energy of the object is 24 J
The kinetic energy of the object is 24 J.
Given data:
The mass of object is, m = 3 kg.
The speed of the object is, v = 4 m/s.
The kinetic energy of an object is the energy possessed by any object due to its motion, which is mathematically expressed as half multiplied by mass and square of the speed of object.
That is,
[tex]KE = \dfrac{1}{2}mv^{2}[/tex]
Here, KE is the kinetic energy of object.
Solving as,
[tex]KE = \dfrac{1}{2} \times m \times v^{2}\\\\KE = \dfrac{1}{2} \times 3 \times 4^{2}\\\\KE = 24 \;\rm J[/tex]
Thus, we can conclude that the kinetic energy of the object is 24 J.
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Two trains are traveling side-by-side along parallel, straight tracks at the same speed. In a time t, train A doubles its speed. In the same time train B increases its speed by a factor of 5.42. By what factor is the distance traveled by train B in time t greater than the distance traveled by train A in the same time t?
Answers
Answer:
yes
Explanation:
Final answer:
The distance traveled by train B in time t is 5.42 times greater than the distance traveled by train A in the same time t.
Explanation:
The distance traveled by train B in time t is greater than the distance traveled by train A in the same time t by a factor of 5.42.
To understand this, let's assume the initial speed of both trains is v. After time t, train A doubles its speed, so its new speed is 2v. On the other hand, train B increases its speed by a factor of 5.42, so its new speed is 5.42v.
Since the distance traveled by a train is directly proportional to its speed, the distance traveled by train B will be 5.42 times greater than the distance traveled by train A in time t.
For an object of mass m and acceleration a, which equation can be used to
calculate the applied force on the object?
Answers
Answer:
F = ma
Explanation:
If mass = m
Acceleration = a
Force = F
Force can be calculated by the product of mass and acceleration.
That is F = ma
This equation is gotten from newton's second law of motion which states that the rate of change of momentum of a body is proportional to the applied force which takes place in the direction of force applied
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Answer:
Force = mass x acceleration i.e F = ma
Explanation:
The force equation is in accordance with Newton's second law of motion, the law states that the acceleration of an object depends on two variables which are
i) The force acting upon the object.
ii) The mass of the object.
The acceleration of an object is directly proportional to the force acting on the object, and inversely proportional to the mass of the object.
This means that if the force acting on the object increases, the acceleration of the object will also increase and if the mass of the object increases, the acceleration of the object will decrease.
a ∝ F ------ eqn 1
a ∝ [tex]\frac{1}{m}[/tex] ------ eqn 2
where a = acceleration
F = Force
m = mass
Applied force is the interaction of an object which can be described as an active agent with another object which causes the second object to either accelerate, experience a change in velocity, a change in direction or bring to a halt.
Mass is the amount of matter or substance that makes up an object.
Acceleration is a measure of the change in velocity of an object with respect to time.
combining eqn 1 and eqn 2
[tex]a = \frac{F}{m}[/tex]
i.e
F = ma ------ eqn 3
eqn 3 is the force equation
A force equation depicts the relationship between force, mass, and acceleration. An object of mass m will accelerate given that force F is applied to it.
The purpose of conducting wires in a circuit is to _____.
Answers
Answer:to transfer electric current from one point to another
Explanation:
To transfer electric current from one point to another
Answer:
To conduct electricity.
Explanation:
The purpose of conducting wires in a circuit is to conduct electricity. The wire conducts electricity by allowing current flow through it from one point to another in the circuit .
6) 100 ml of water is initially at 20°C. 30,000 J of heat is added to the water. What is temperature change for the water?
Answers
The temperature change of water is equal to 71.67 °C
Explanation:
Given:
Amount of transferred energy = 30,000 K J
Mass of water = 100 ml
Initial temperature = 20°C
To find the change in temperature of water.
Formula for Heat capacity is given by
Q = m×c×Δt ........................................(1)
where:
Q = Heat capacity of the substance (in J)
m=mass of the substance being heated in grams(g)
c = the specific heat of the substance in J/(g.°C)
Δt = Change in temperature (in °C)
Δt = (Final temperature - Initial temperature) = T(f) - T(i)
Q = 30,000 J
Mass of water = m = 100 ml
1 ml = 1 g ................................................(2)
Therefore m = 100 ml = 100 g
Specific heat of water is c = 4.186 J /g.
Δt = ?
Substituting these in equation (1), we get
Q = m×c×Δt
Rearranging the terms for Δt,
Δt = [tex]\frac{Q}{m\times c}[/tex]
Δt = [tex]\frac{30,000}{100\times 4.186} = \frac{30,000}{418.6}= 71.67\°C[/tex]
Δt = 71.67 °C
Help plz
Does everyone in the earth experience solar eclipse?
Answers
Answer:
while all of the world can experience a solar eclipse it is not normally at the same time so one part of the earth might have it but not the other and even in one area if there is one in north america like the last one in texas we did not have a full eclipse
Answer: To answer your question.Not at all because the shadow that the moon cast on the earth is not very broad,as the earth rotates ,the path of the total eclipse is a narrow one.
Total solar eclipses are rare events actually. Although they occur somewhere on Earth every 18 months on average, this is estimated to recur at any given place only once every 360 to 410 years, on average as the case may be .
A 1,155 kg truck has a velocity of 18 m/s. What is the momentum of the truck?
Round your answer to the whole number.
Answers
The momentum of truck is 20790 kg m/s
Solution:
Given that we have to find the momentum of truck
From given, 1155 kg truck has a velocity of 18 m/s
Therefore,
Mass = 1155 kg
Velocity = 18 m/s
The momentum is given by formula:
[tex]p = m \times v[/tex]
Where, m is mass in kg and v is velocity in m/s
Substituting the values we get,
[tex]p = 1155 \times 18\\\\p = 20790[/tex]
Thus momentum of truck is 20790 kg m/s
Why are airbags, helmets, and other safety devices important? Physics
Answers
Answer:to prevent serious damage when an accident occur
Explanation:to prevent serious damage when accident occur
Airbags and other safety devices are important as they use the physics concept of impulse to reduce the force on an individual by increasing the impact duration during collisions, thereby reducing the likelihood of injuries or fatalities.
Airbags, helmets, and other safety devices are crucial because they employ the concept of impulse from physics, which helps in reducing the force felt by individuals during collisions. Impulse is defined as the net force multiplied by the time duration over which it acts ([tex]F_{net}[/tex] Δt). When a vehicle is involved in an accident, safety devices such as airbags extend the time over which a person's momentum is brought to a stop. Consequently, the force exerted on their body is significantly reduced, minimizing the risk of severe injuries or fatalities. The concept is that by increasing the time Δt, while the momentum change Δp remains constant, the net force [tex]F_{net}[/tex] is decreased, which illustrates an inverse relationship between force and time during impact. This principle not only applies to airbags, which allow for a more gradual deceleration and less forceful impact but to other vehicle safety aspects, such as crumple zones that extend the collision time, hence reducing the force and potential injury.
Calculate the force of gravity between two planets with masses 5 x 1023 kg and 1 x 1022 kg when the distance
between them is 7 x 1016 m. Do not use scientific notation. Round to one decimal.
Answers
Answer:
68.1N
Explanation:
Check attachment
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when a flat mirror forms an image, how does the angle of light rays that reaches your eyes compare to the angle of the rays striking the mirror
Answers
Answer: the angles are equal
Explanation:
4 Points
A car of mass 1300 kg drives in a circle of radius 85 m. If the car has a speed
of 20 m/s, what is the centripetal force acting on the car?
O
A. 6118 N
O
B. 1300 N
O C. 7982 N
O D. 305.9 N
SUBMIT
Answers
Answer:
6118N
Explanation:
Complete.
For a positive point charge, the lines radiate ………. . While, for a negative point charge, the lines converge …………. .
Answers
Answer:
For a positive point charge, the lines radiate outward. While, for a negative point charge, the lines converge inward.
Explanation:
The electric field produced by a single point charge has a radial shape and follows an inverse square law. The magnitude is given by
[tex]E=k\frac{q}{r^2}[/tex]
where
k is the Coulomb's constant
q is the magnitude of the charge
r is the distance from the charge
The direction of the field depends on the sign of the charge. In particular, we have:
For a positive charge, the direction of the field is out of the chargeFOr a negative charge, the direction of the field is towards the chargeThis is due to the fact that the direction of the field shows the direction of the force that a positive test charge would experience in this field. Therefore, since a positive test charge would feel a repulsive force in the field produced by a positive charge, then the direction of the field is outward; on the other hand, a positive test charge would feel an attractive force in the field produced by a positive charge, therefore the direction of the field is inward.
A rope vibrates every 0.5 s. What is the frequency of the waves? 5 Hz 2 Hz 0.5 Hz 1 Hz
Answers
Using the formula f= 1/T we can plug in .5 for T and solve for frequency.
The frequency of the waves generated by a rope that vibrates every 0.5 seconds is 2 Hz, as frequency is the inverse of the period. Hence, the correct answer is B.
The frequency of a wave is defined as the number of cycles per second, and it is the inverse of the period (the time for one complete cycle). So, if a rope vibrates every 0.5 seconds, that means the period (T) is 0.5 seconds. To find the frequency (f), we use the formula f = 1/T. Therefore, the frequency of the waves is f = 1/0.5 s = 2 Hz.
a car moved 60km east and 90km west in 25 seconds. what is the velocity
Answers
Answer:6000m/s
Explanation:
what are 3 types of potential energy?
Answers
Answer:
Three types of potential energy include: Elastic potential energy, which is the energy stored in something when you push, pull, or force it out of shape: think of rubber bands or springs. Chemical potential energy, which is the energy something stores because of its chemical makeup: batteries have this kind of energy.
Explanation:
Potential energy, kinetic energy, and gravitational potential energy are three types of potential energy.
Explanation:Energy is the capacity to do work or create change. It exists in various forms, including kinetic (movement), potential (stored), thermal (heat), electrical, and chemical energy. Energy is a fundamental concept in physics and is vital for all processes in the universe, from powering machines to sustaining life and ecosystems.
Potential energy, kinetic energy, and gravitational potential energy are three types of potential energy. Potential energy is the energy an object has due to its position or condition, while kinetic energy is the energy an object possesses due to its motion. Gravitational potential energy is a specific type of potential energy that an object has due to its position relative to the Earth's surface.
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What is the cost of using an electric iron rated 340v,1000w for 24hrs. If electric energy costs 3000tsh per unit?(1unit=1kwh)
Answers
Total cost of electric iron used for 24 hrs is 72000 tsh.
Explanation:
Given
Voltage, V = 340 V
Power, P = 1000 W = 1 kW
Time, T = 24 hrs
Cost per unit = 3000 tsh /unit
Total cost, T = ?
We know,
The cost is calculated in kWh
Therefore,
Total Power consumed = 1 kW X 24 hrs
Total Power consumed = 24 kWh
Total cost = total power X cost per unit
Total cost = 24 kWh X 3000 tsh/unit
Total cost = 72000 tsh
Therefore, total cost of electric iron used for 24 hrs is 72000 tsh.
Wave 1 displaces according the function f(θ)= 2sin θ+1. Wave 2 displaces according to the function f(θ)= 3sin θ+.5. At what angle, in degrees, will the two waves have the same displacement?
Answers
Answer:
θ = 30⁰
Explanation:
We have been given two wave displacement equations,
[tex]y_{1} =2sin\theta +1[/tex] ........(1)
[tex]y_{2}=3sin\theta +0.5[/tex] ........(2)
The waves will have same displacements when [tex]y_{1}=y_{2}=y[/tex] (say)
Therefore, operating (2) - (1), we get,
[tex]sin\theta - 0.5=0[/tex]
or, [tex]\theta = sin^{-1}(0.5)=30^{o}[/tex] (since, sin 30⁰ = 0.5)
We can check the answer by putting [tex]\theta=30^{o}[/tex] in equations (1) and (2),
[tex]y_{1}=2sin30^{o}+1=2\times0.5 + 1= 2[/tex]
[tex]y_{2}=3sin30^{o}+0.5=3\times0.5+0.5=1.5+0.5=2[/tex]
Answer:
θ= 30°
Explanation:
Set the wave functions equal to another, as displacements would be the same. Therefore, 2sin θ+1 = 3sin θ+.5.
sin θ=.5
θ= 30°
Which statement best describes the weather shown by the blue triangles on a line on a weather map?
A cold front can cause heavy rain, thunder, and lightning.
A warm front brings drizzly weather.
A stationary front may produce rainy or snowy weather for several days.
An occluded front can cause light to heavy precipitation that may last several days.
Answers
The best description for the weather shown by the blue triangles on a line on a weather map is by the statement that a cold front can cause heavy rain, thunder, and lightning.
Answer: Option A
Explanation:
The weather map consist of four symbolic color mathematical features. The blue colored triangle represents the cold front. Red colored semi circle, on the other hand, represents the warm front. Then there are some complex symbols, such as the purple colored line with semi circle and triangle drawn in the same side, this represents the occluded front.
Then similarly, purple colored line drawn with semi circle on side and triangle drawn on the other side, represents the Stationary front. Therefore, here the blue colored triangles on a line represents the cold front can cause heavy rain, thunder, and lightning.
what would the velocity of a bullet that strikes a tin can 350 meters away in 0.25 seconds
Answers
Answer:
87.5 m/s
Explanation:
350m * 0.25s = 87.5 m/s
A skier is skiing down a slope on the mountain.
Is the mechanical energy conserved? Why or why not?
The mechanical energy isn't conserved. Some energy is lost to gravity.
The mechanical energy isn't conserved. Some energy is lost to friction.
Mechanical energy is always conserved.
The mechanical energy is conserved. There is as much KE at the end as there was PE at the beginning.
Answers
The mechanical energy isn't conserved. Some energy is lost to friction.
Option A.
Explanation:The mechanical energy is defined as the energy of a body which it achieves by virtue of its position and velocity. The mechanical energy are of two types - potential energy and kinetic energy. The potential energy is the energy of the body which it achieves by means of its relative position and is directly proportional to the height of the body from its relative plane. Whereas the kinetic energy of the body is achieved by virtue of its velocity and is directly proportional to the square of velocity of the body.
As the mountaineer is skiing down the slope of a mountain, the potential energy of the person is gradually changing into his kinetic energy. Had it been in an ideal situation, the potential energy lost would have been just equal to the kinetic energy gained by the person. But there's friction which opposes the speed of the body and reduces the velocity. Thus the kinetic energy will be lost to some extent and the energy won't be conserved.
the correct answer is B) The mechanical energy isn't conserved. Some energy is lost to friction.
A 10,844.0 kg truck is initially at rest. The truck then accelerates across a level road and reaches a constant speed. It takes the truck 25.4 seconds to reach its final speed. At this speed, the truck has 41,505.4 joules of kinetic energy. How much power did the truck require to accelerate the truck in this time? Round your answer to the tenths place.
Answers
Answer:
1,634.1 W
Explanation:
Power = work / time
P = 41,505.4 J / 25.4 s
P = 1,634.1 W
It takes 200 N to move a box 10 meters in 8 seconds. How much power is
required?
O
O
A. 250 W
B. 25 W
O
O
c. 2,000 J
D. 16,000 W
Q
Answers
Answer:
A
Explanation:
The equation of power is defined as Power = Workdone/Time Taken
And workdone = Force x Distance so using these equations we get they workdone is, 200x 10 = 2000Nm.
Dividing workdone with time will yield power, 2000 ÷ 8 = 250 Nm/s = 250W.
Elements in a period have _____________.
Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected
A
The same atomic radius
B
Similar chemical properties
C
The same number of protons
D
A wide range of chemical properties
Answers
Answer:
Elements in a period have wide range of chemical properties.
Explanation:
Period is the row of chemical elements's arrangement in the periodic table. It is numbered from 1 to 7. In period as we move towards right the atomic number of element constantly increases along with the change in chemical properties.As we move from left towards right in period, the valence electron number regularly increases in every element.This valence electron differs the reactivity of the elements.A shallow slope on a phase-change graph indicates _____.
A. a little temperature increase for a lot of heat
B. a phase change
C. a large change in kinetic energy of the molecules
D. a high latent heat
Answers
A shallow slope on a phase-change graph indicates - A. a little temperature increase for a lot of heat.
To understand this, let's break down the concepts involved:
Latent Heat: When a substance undergoes a phase change (like melting or boiling), it absorbs or releases heat without changing temperature. This heat is known as latent heat.
Phase Changes: During a phase change, such as ice melting into water, the temperature of the ice remains at 0°C until it has completely melted. Only after the phase change is complete does the temperature of the water begin to increase.
Shallow Slope on Graph: In a graphical representation, the shallow slope during a phase change signifies that while a large amount of heat is added, the temperature remains constant until the phase change is completed. This reinforces the idea that energy is being used to break molecular bonds rather than increasing kinetic energy.
HELP FAST
What is the potential energy of the 2 kg ball that is sitting on top of the 40 meter
building?
0803
784
O80 N
784 N
Answers
Answer: 784 J
Explanation:
Potential energy is expressed in:
PE= mgh
= 2 kg x 9.8 m/s² x 40 m
= 784 J
during one hour trip a small boat travels 8.0 km north and then travels 60.0 km east what is the boat's displacement for the one hour trip
Answers
Answer:
60.53km
Explanation:
Check attachment