A body of mass 5kg is connected by a light inelastic string which is passed over a fixed frictionless pulley to a moveable frictionless pulley of mass 1kg over which is wrapped another light inelastic string which connects masses 3kg and 2kg. Find 1) the acceleration of the masses.
2) the tensions in the strings in terms of g, the acceleration dey to gravity
Answers
(a) The acceleration of the masses is determined as 1.1 m/s² in the direction of the 5 kg mass.
(b) The tension in the string in terms of gravity is T = g.
What is the acceleration of the masses?(a) The acceleration of the masses is calculated by applying Newton's second law of motion.
F(net) = ma
where;
m is the massesa is the acceleration of the masses(5 kg x 9.8 m/s² ) - (1 kg + 3 kg )9.8 m/s² = ma
9.8 N = (5kg + 1 kg + 3 kg )a
9.8 = 9a
a = 9.8 / 9
a = 1.1 m/s² in the direction of the 5 kg mass.
(b) The tension in the string in terms of gravity is calculated as follows;
T = ( 5kg)g - (1 kg + 3 kg ) g
T = 5g - 4g
T = g
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Related Questions
what is a rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down?
Answers
The rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down is called Retro engine.
Spacecraft are the space automobiles that might be capable of flying out of doors of the Earth’s ecosystem in the area. They offer us a method of transportation from the Earth to the area and objects in it. There may be numerous spacecraft that are familiar to most of people e.g. Apollo 11 which took Neil Armstrong and his group to the Moon.
Crewed Spacecraft – Crewed spacecraft are the ones that carry people to the area. There have been several crewed spacecraft to the area consisting of Vostok 1 – the first crewed spacecraft in records dispatched by way of the United States of America.
Earth-Orbit Satellites – all of the satellites, which orbit across the Earth, fall in this class. The maximum tremendous satellite in orbit on the Earth is Hubble Telescope.
Space Probe – these are unmanned spacecraft that might be fitted with medical instruments for exploring objects in space e.g. planets, Moon, and solar.
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Define kinetic energy and thermal energy. Describe what happens to each as the temperature of a substances increases.Explain the process that causes dew to form on blades of grass.
Answers
Answer:
Heat is radiated, atmospheric moisture condenses at a rate greater than that at which it can evaporate, resulting in the formation of water droplets.
Explanation:
Dew forms on blades of grass as the temperature of the grass drops below the dew point temperature, causing water vapor in the air to condense into liquid water droplets on the cooler surface of the grass.
Kinetic Energy and Thermal Energy:
Kinetic Energy:
Kinetic energy is the energy possessed by an object due to its motion. It depends on both the mass of the object and its velocity. The formula for kinetic energy is KE = 1/2 * mass * \(velocity^2\). As an object moves faster or its mass increases, its kinetic energy also increases.
Thermal Energy:
Thermal energy, also known as heat energy, is the total energy of the particles (atoms and molecules) in a substance. It includes both the kinetic energy of the particles' random motion and the potential energy of their interactions. The temperature of a substance is a measure of the average kinetic energy of its particles. As the temperature of a substance increases, the average kinetic energy of its particles also increases, leading to higher thermal energy.
Effect of Increasing Temperature on Kinetic Energy and Thermal Energy:
When the temperature of a substance increases:
The average kinetic energy of its particles increases.
The kinetic energy of individual particles increases, resulting in faster molecular motion.
The thermal energy of the substance increases due to the collective increase in kinetic energy of its particles.
Formation of Dew on Blades of Grass:
Dew forms on blades of grass due to a process called condensation. Condensation occurs when water vapor in the air comes into contact with a surface that is at a lower temperature, causing the water vapor to change from its gaseous state to a liquid state.
At night, the Earth's surface loses heat through radiation, and this cooling effect reduces the temperature of the grass blades and other objects on the ground. As the temperature of the grass drops below the dew point temperature, which is the temperature at which the air becomes saturated with water vapor, water vapor in the surrounding air begins to condense into tiny water droplets on the surface of the grass blades.
The formation of dew is more common on clear, calm nights when there is less heat retained by the atmosphere and the ground radiates more heat. Dew can also form when the relative humidity is high, as the air already contains a significant amount of water vapor, making it more likely to reach the dew point temperature.
Hence, dew forms on blades of grass as the temperature of the grass drops below the dew point temperature, causing water vapor in the air to condense into liquid water droplets on the cooler surface of the grass.
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T/F the direction of a fling can be determined by the x and y coordinates captured by the action_down and action_up motionevents and the resulting velocities.
Answers
Answer:True
Explanation:
A circuit consists of a resistor, a battery and an ammeter. The ammeter shows a current of 0.2A when the resistor is 120. If you want to get a current of 0.15A, what resistor should be used to replace the current resistor?
Answers
Answer:
A resistor of 160 ohms should be used to replace the current resistor
Explanation:
Applying,
Ohm's Law
V = IR................... Equation 1
Where V = Voltage of the battery, I = current, R = Resistance
From the question,
Given: I = 0.2 A, R = 120 ohms.
Substitute these values into equation 1
V = 0.2×120
V = 24 V
IF a current of 0.15 A is required,
make R the subject of equation 1
R = V/I............... Equation 2
Given: V = 24 V, I = 0.15 A
Substitute these values into equation 2
R = 24/0.15
R = 160 ohms.
Hence a resistor of 160 ohms should be used to replace the current resistor
When an ambulance drives towards you, the pitch of the siren is higher. After itdrives past, the pitch of the siren is lower.The reason it is lower is that the frequency of the wavelengthA. increasesB. decreasesC. Stays the same
Answers
Doppler's effect:
The Doppler effect states that the frequency of sound increases as it source approaches you and it decreases as the source turns away from you.
When the ambulance drives past you, the pitch of the siren is lower. This is due to the fact that the frequency of the wavelength decreases.
A higher pitch means frequency increases and a lower pitch means frequency decreases.
Therefore, the correct answer is option B. decreases
Match each physical property of matter to the appropriate definition
conductivity
density
buoyant force
solubility
boiling point
Answers
probably a little late on this but the dude got everything wrong heres a screenshot of the answers.
Solubility: the ability of a substance to dissolve in another.
Density: the amount of mass in a given volume.
Buoyant force: the upward force on an object in a fluid.
Conductivity: the ability of a substance to transfer heat or electricity.
Boiling point: the temperature at which a liquid becomes a gas.
Solubility can be defined as a measure of how readily a substance dissolves in a solvent to form a solution.
Hence, a substance is typically considered to be soluble if it is able it dissolve completely in a solvent.Density can be defined as mass all over the volume of an object.
Simply stated, density is mass per unit volume of an object.Buoyancy can be defined as an upward force created by the fluid (liquid) displaced by an object.
Conductivity can be defined as the ability of an object, substance or body to transfer heat or electricity to another.
Boiling point is the temperature at which a physical matter changes phase from liquid to gas.
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Which of the following is an example of chemical energy converted into mechanical energy?
a. a windmill blades spinning
b. riding a bicycle
Answers
Answer:
b. riding a bicycle
hope this helps
Give a qualitative description of the skydiver's motion after jumping out of the plane.
Answers
Explanation:
They will have not much control over their speed or rotational energy. they will carry a lot of gravitation potential energy which will get converted to kinetic energy as they fall through the atmosphere. They will reach their terminal velocity, the fastest they can travel with earth's gravity before they pull their parachute, when they use a parachute to extend their surface area, increasing wind resistance. this allows them to land safely.
Determine the momentum of a system that consists of two objects. One object, m1, has a mass of 6 kg and a velocity of 13 m/s towards the east and a second object, m2, has a mass of 14 kg and a velocity of 7 m/s in that same direction.
Answers
Momentum = (mass) x (velocity)
Momentum m₁ = (6 kg) x (13 m/s east) = 78 kg-m/s east
Momentum m₂ = (14 kg) x (7 m/s east) = 98 kg-m/s east
Since they're both in exactly the same direction you can simply addum up to get their total momentum. It's 176 kg-m/s east .
The momentum of a system that consists of two objects should be 176 kg m/s on east hand side.
Calculation of the momentum:Since we know that
Momentum = (mass) x (velocity)
So,
Momentum m₁ = (6 kg) x (13 m/s east) = 78 kg-m/s east
Momentum m₂ = (14 kg) x (7 m/s east) = 98 kg-m/s east
Since they are on same direction so the total momentum should be
= 78 + 98
= 176 kg-m/s east
hence, The momentum of a system that consists of two objects should be 176 kg m/s on east hand side.
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The speeds of a car travelling on a straight road are given below at successive intervals of 1 second. Time/s Speed/m/s 0 0 1 2 2 4 3 6 4 8 Calculate a the average speed of the car in m/s b the distance the car travels in 4s c the constant acceleration of the car. 2 If a train travelling at 10 m/s starts to accelerate at 1 m/s² for 15s on a straight track, calculate its final speed in m/s.
Answers
a. the average speed of the car is 15 m/s.
b. the car travels 60 meters in 4 seconds.
c. the constant acceleration of the car is 2 m/s².
d. we find the the final speed of the train as 25 m/s.
How do we calculate?a)
We find the total distance traveled by the car as:
0 + 2 + 8 + 18 + 32 = 60 meters.
Average speed = Total distance / Total time
= 60 meters / 4 seconds
= 15 m/s
b) The distance traveled by the car in 4 seconds = total distance traveled
= 60 meters
c)
Acceleration = (Final velocity - Initial velocity) / Time
Acceleration = (Final velocity - Initial velocity) / Time
Acceleration = (8 m/s - 0 m/s) / (4 s - 0 s)
Acceleration = 8 m/s / 4 s
Acceleration = 2 m/s²
d.
Final velocity = Initial velocity + (Acceleration * Time)
Final velocity = 10 m/s + (1 m/s² * 15 s)
Final velocity = 10 m/s + 15 m/s
Final velocity = 25 m/s
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What happens to the mass number of an atom when the
number of neutrons in the nucleus of that atom increases?
Answers
How much work does it take to accelerate from 5 m/s to 10 m/s?
Answers
Answer:
KE (5) = 1/2 M V^2 = 25/2 M
KE (10) = 1/2 M V^2 = 100/2 M
KE (10) - KE (5) = M/2 (100 - 25) = 75/2 / M
An object traveling at 10 m/s has 4 times the kinetic energy as an object traveling at 5 m/s
Total work would depend on the mass being accelerated
How far does a runner travel if they maintain a speed of 9.5 m/s for 140s?
Answers
During which month is the bacteria population just under 1 million?
A. May
B. January
C. July
D. March
Answers
Which is an example of an object at rest?
a. a jet flying overhead
b. a chair on a floor
c. a rabbit jumping
d. a ball hit by a bat
Answers
Answer:
b. a chair on a floor
Explanation:
All of the other objects are in motion, the jet is flying so it is not at rest, the rabbit is also moving, and a ball hit by a bat is also in motion
what is the role of convection in producing the rain shadow effect?
Answers
The mechanism that causes the air to rise and cool on the windward side of the mountain range is convection, which plays a significant part in creating the rain shadow effect.
How does convection work?By using the movement of fluids, convection is a method for transferring heat from one location to another (liquids or gases). A cyclical flow is created in this process by the warmer and cooler fluid components rising and sinking, respectively.Warm fluid loses density and rises, whereas cold fluid is denser and sinks, resulting in the convection process. Heat can be transferred from one area to another by the current that is produced by the fluid's movement.Several natural processes, such as weather patterns, ocean currents, and geological formations, depend on convection.For more information on convection kindly visit to
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April moves from a position that is 5 m north of her front door to a new position that is 3 m south of her front door. If this movement takes her 4 seconds, what is her velocity? O A. 0.5 m/s north B. 2 m/s north C. 2 m/s south D. 0.5 m/s south
Answers
Answer:
the answer is C.2m/s South
Explanation:
u fist look at the displacement and the n u divide the displacement by time then u get ur answer
What is the relationship between temperature and kinetic energy?
Answers
Answer:
temperature is the average kinetic energy of the particles of matter. the hotter something is the more kinetic energy it has.
Explanation:
An unknown element X has the following isotopes: ¹²⁶X (22.00% abundant), ¹²⁸X (34.00% abundant), ¹³⁰X (44.00% abundant). What is the average atomic mass in amu of X?
Answers
The average atomic mass of element X is approximately 128.44 amu. The average atomic mass takes into account the relative abundances of the isotopes.
The average atomic mass is calculated by multiplying the mass of each isotope by its abundance and summing up these values. In this case, element X has three isotopes:
¹²⁶X, ¹²⁸X, and ¹³⁰X, with abundances of 22.00%, 34.00%, and 44.00% respectively.
To calculate the average atomic mass, we multiply the mass of each isotope by its abundance and sum up these values. The atomic mass of ¹²⁶X is 126 amu, ¹²⁸X is 128 amu, and ¹³⁰X is 130 amu.
Using the given abundances and atomic masses, we can calculate the average atomic mass as follows:
Average Atomic Mass = (126 amu × 0.22) + (128 amu × 0.34) + (130 amu × 0.44)
= 27.72 amu + 43.52 amu + 57.20 amu
= 128.44 amu
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A skipper on a boat notices wave crests passing the anchor chain every 6.0 seconds. The skipper estimates the distance between crests at 30.0
m. What is the speed of the water waves?
Answers
Explanation:
given Time Period = 5 Sec
Amplitude = 1m, Wave length = 15 m
using time period = 1/ frequency , Frequency = 1/5 cycles per sec = 0.2 sec = 12 per min
wave speed= Frequency * Wave length
speed = 0.2*15 = 3m/s
When walking barefoot, Kevin can walk across the grass easily, but when he crosses the paved street, the street is hot and burns his feet. At the beach he walks quickly across the hot sand to the cool water. Why do some substances feel hot to his feet and others do not? Radiation is heat transfer through waves. Specific heat is the amount of energy required to raise the temperature of a substance 1 degree C.
Answers
You want to lift a heavy box with a mass L = 64.0 kg using the two-ideal pulley system as shown. With what minimum force do you have to pull down on the rope in order to lift the box at a constant velocity? One pulley is attached to the ceiling and one to the box.
Answers
The given problem can be solved using the following free-body diagram:
The diagram is the free-body diagram for the pulley that is holding the weight. Where:
\(\begin{gathered} T=\text{ tension} \\ m=\text{ mass} \\ g=\text{ acceleration of gravity} \end{gathered}\)Now we add the forces in the vertical direction:
\(\Sigma F_v=T+T-mg\)Adding like terms:
\(\Sigma F_v=2T-mg\)Now, since the velocity is constant this means that the acceleration is zero and therefore the sum of forces is zero:
\(2T-mg=0\)Now we solve for "T" by adding "mg" from both sides:
\(2T=mg\)Now we divide both sides by 2:
\(T=\frac{mg}{2}\)Now we substitute the values and we get:
\(T=\frac{(64\operatorname{kg})(9.8\frac{m}{s^2})}{2}\)Solving the operations:
\(T=313.6N\)Now we use the free body diagram for the second pulley:
Now we add the forces in the vertical direction:
\(\Sigma F_v=T-F\)The forces add up to zero because the velocity is constant and the acceleration is zero:
\(T-F=0\)Solving for the force:
\(T=F\)Therefore, the pulling force is equal to the tension we determined previously and therefore is:
\(F=313.6N\)
which of the following is a chemical property of a mineral?
A Hardness
B Luster
C Atomic structure
D Color
Answers
Hardness, color , and luster.
But since you can pick one, I would say hardness
The Jamaican bobsled team hit the brakes on their sled so that it decelerates at
a
uniform rate of 0.43 m/s?. How long does it take to stop if it travels 85 m before
coming to rest?
Answers
the answer is in the photo
hopes it help!
Find the surface area of the solid shape below ( please help !!!!!!)))))))
Answers
hope it helped
some of the light also reflects off the surface of the water. if the incident light is initially unpolarized, the reflected light will be unpolarized somewhat horizontally polarized somewhat
vertically polarized
Answers
The reflected light will be partially polarized, with some of the light horizontally polarized and some vertically polarized. The exact amount of polarization depends on the angle of incidence and the angle of reflection.
When unpolarized light strikes a surface, some of the light is absorbed, some is transmitted through the material, and some is reflected. In the case of reflection, the orientation of the reflected light waves is dependent on the angle of incidence and the properties of the reflecting surface.
When unpolarized light is incident on a smooth water surface at a non-zero angle of incidence, some of the light will reflect off the surface of the water. This reflected light will contain both horizontally and vertically polarized components. The proportion of the reflected light that is horizontally polarized and vertically polarized depends on the angle of incidence of the light and the refractive indices of the two media (air and water).
At a certain angle known as the Brewster angle, the reflected light becomes completely polarized in the horizontal direction, while the transmitted light is polarized in the vertical direction. This occurs because at this angle, the reflected light is completely parallel to the surface of the water, and only the horizontally polarized component of the light can be reflected.
However, at angles of incidence other than the Brewster angle, the reflected light will be partially polarized in both the horizontal and vertical directions. The proportion of horizontal to vertical polarization in the reflected light depends on the angle of incidence and the refractive indices of the two media.
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1. Density = 13.5 g/mL
Mass = 151 grams
Volume =
What is the volume
Answers
Answer:
density = mass /vol
13.5 =151/ vol
vol = 151/13.5 = 11.2 ml
Does the earths magnetic field change with time?
Answers
Answer:
As per the fossil fuel records, magnetic field reversal does not impact living beings. It will take almost a century for the poles to complete the shift. Meanwhile, the earth is left with almost zero magnetic field.
Help! series circuit practice, I'm not sure what formula to use.
Answers
Answer:
RT=R1+R2+R3
Explanation:
A car speeds up from rest to some final velocity in some amount of time. If the time is doubled to reach the same final velocity, what
happens to the acceleration? Is this a proportional or inversely proportional relationship?
Answers
If the time is doubled to reach the same final velocity, then the acceleration will be half the acceleration before.
What is the rate of change?The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations.
Let's assume the final and the initial velocity of the object is v and u, respectively. Also, the time it takes is represented by t. Therefore, the acceleration can be written as,
a₁ = (v-u)/t
Now, if the time is doubled then the acceleration can be written as,
a₂ = (v-u)/2t
= (1/2) × [(v-u)/t]
= 0.5 × a₁
a₂ = 0.5a₁
Hence, If the time is doubled to reach the same final velocity, then the acceleration will be half the acceleration before.
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