A block of mass 4.0 kg rests on a horizontal surface where the coefficient of kinetic friction between the two is 0.20. A string attached to the block is pulled horizontally, resulting in a 3.0-m/s2 acceleration by the block. Find the tension in the string. (g = 9.80 m/s2)A. 12 NB. 7.8 NC. 20 ND. 4.2 N
Answers
To find the tension in the string, we need to consider Newton's second law of motion and the force of friction acting on the block. The tension in the string is approximately 20 N (option C).
First, let's find the force of friction (F_friction) using the formula: F_friction = μ * F_normal, where μ is the coefficient of kinetic friction and F_normal is the normal force acting on the block, which is equal to the weight of the block (m * g).
F_friction = 0.20 * (4.0 kg * 9.80 m/s²) = 0.20 * 39.2 N = 7.84 N
Next, let's use Newton's second law of motion, F_net = m * a, where F_net is the net force acting on the block, m is the mass of the block, and a is the acceleration of the block.
The net force acting on the block is the difference between the tension in the string (T) and the force of friction: F_net = T - F_friction.
We know that the acceleration (a) is 3.0 m/s², and the mass (m) is 4.0 kg. So, we can rewrite the equation as:
4.0 kg * 3.0 m/s² = T - 7.84 N
12 N = T - 7.84 N
Now, solving for the tension in the string (T):
T = 12 N + 7.84 N = 19.84 N
The tension in the string is approximately 19.84 N, which is closest to option C. 20 N.
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Related Questions
What is the only force acting on a freely falling object?
Answers
The force acting on freely falling object is force of gravity and air friction.
Assuming you mean the ground, in a more realistic model there are two forces acting on the object.At rest without acceleration, two forces also act on the body. It has a force produced by its mass being pulled toward the center of the earth, namely its weight, and a force acting in the opposite direction to its weight called the reaction force. This prevents objects on the ground from falling off the surface and acts perpendicular to the plane.There are two possibilities when items drop. Both his weight still exists. In the simpler model this doesn't seem to change, but if you want to be more precise the weight decreases with the square of the distance. The magnitude of the other force depends on the object's velocity. This is air resistance. Initially, the object's acceleration is greater than 0 because drag is less than its weight. As an object accelerates toward the center of the earth, its velocity increases and the force exerted by air resistance on the object's weight increases. Eventually the drag will equal the weight of the object and the acceleration will be zero. This is terminal speed. Maintain this speed until you reach the surface. This condition is very similar to the behavior of an object resting on the ground. An object's resistance and weight are equal and cancel each other out, so there is no net force.To learn about terminal speed-
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A man on a scooter travels directly west for 50 meters, it took the man 45 seconds to reach his destination. What was his velocity?
Answers
Answer:
1.2 m/s
Explanation:
You must divide the distance by time in order to find velocity! 50/45. He was going 1.2 m/s!
Answer: 34
Explanation:
INCREASING THE AMPLITUDE of a mass-and-spring system causes what kind of change in the resonant frequency of the system? (Assume NO OTHER CHANGES in the system.)
Answers
Increasing the amplitude of a mass-and-spring system does not cause any change in the resonant frequency of the system, assuming there are no other changes in the system.
Increasing the amplitude of a mass-and-spring system does not cause any change in the resonant frequency of the system, assuming there are no other changes in the system.
The resonant frequency of a mass-and-spring system depends only on the mass and the stiffness of the spring, and is not affected by the amplitude of the vibrations.
However , increasing the amplitude of the vibrations can increase the maximum displacement of the mass, which may affect the behavior of the system in other ways, such as causing the system to reach its limits of motion or causing nonlinear effects to become significant.
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Which of the following graph is used for determining the instantaneous velocity from the slope?
A. distance-time graph
B. x - t graph
C. both of these
D. none of these
Answers
Answer:
B. x - t graph
Explanation:
A position-time (x-t) graph is a graph of the position of an object against (versus) time.
Generally, the slope of the line of a position-time (x-t) graph is typically used to determine or calculate the velocity of an object.
An instantaneous velocity can be defined as the rate of change in position of an object in motion for a short-specified interval of time. Thus, an instantaneous velocity is a quantity that can be found by measuring the slope of a line that is tangent to a point on the graph.
Hence, the x - t graph also referred to as the position-time graph is used for determining the instantaneous velocity from the slope.
For example;
Given that the equation of motion is S(t) = 4t² + 2t + 10. Find the instantaneous velocity at t = 5 seconds.
Solution.
\( S(t) = 4t^{2} + 2t + 10\)
Differentiating the equation, we have;
\( S(t) = 8t + 2 \)
Substituting the value of "t" into the equation, we have;
\( S(5) = 8(5) + 2 \)
\( S(5) = 40 + 2 \)
S(5) = 42 m/s.
Answer:
B. x - t graph
Explanation:
Thus, an instantaneous velocity is a quantity that can be found by measuring the slope of a line that is tangent to a point on the graph. Hence, the x - t graph also referred to as the position-time graph is used for determining the instantaneous velocity from the slope.
4. How many neutrons are there in an atom of protium? Deuterium? Tritium?
P
Answers
Select the correct answer. when do sea breezes occur? a. daytime b. nighttime
c. both day and night d. at thermal equilibrium
Answers
The sea breezes occur during the day when land surfaces heats up faster than water surfaces.
The cooler air above the water is moving across the surface of the land to replace the rising heated air as it rises over the land is called sea breezes.
Sea breezes mostly occur during hot days i.e., summer time as there is unequal heating of land and water surfaces. The land surface get heat up first and during the day the land get heat up faster than water surfaces due to which there is high temperature and low pressure.
The winds always blows from the high pressure to low pressure or low temperature to high temperature i.e., from water to land surfaces durning day time and in night time it happens opposite the wind flows from land surfaces to water surfaces
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The sea breeze occurs during the daytime as the land masses heat up faster than water.
The breeze blowing towards the land from the sea is known as sea breeze.
Due to the differences in pressure, the air flows from high pressure areas over the sea to the low pressure areas on the land. In summer there is unequal heating of land and water masses. This results in the formation of sea breeze.
The winds always blows from the high pressure to low pressure or low temperature to high temperature i.e., from water to land surfaces durning day time and in night time it happens opposite the wind flows from land surfaces to water surfaces.
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how can a simple machine lift a heavy load with smaller effort
Answers
Answer:
The axle is fixed to a frame or a block. The pulley is normally fixed to a support above the load. The load is tied to one end of the rope and the effort is applied at the other end. Such a pulley makes our work easier by simply changing the direction of the force, i.e. a load is lifted up using a downward effort.
May be this will help U
Answer:
The axle is fixed to a frame or a block. The pulley is normally fixed to a support above the load. The load is tied to one end of the rope and the effort is applied at the other end. Such a pulley makes our work easier by simply changing the direction of the force, i.e. a load is lifted up using a downward effort
Explanation:
An empty space defined by its surround is known as ________ shape.
Answers
One drops a penny from top of the Empire State Building on the ground below. The hight of the Empire State Building is 443m How long will it take for a penny yo strike the ground assuming no air resistance
Answers
Answer:
See below
Explanation:
Assuming no resistance
DISTANCE = 1/2 a t^2
443 = 1/2 (9.81)t^2 Shows t = 9.5 seconds
A ramp is used to lift a box into a truck. The distance it is lifted is 1.5m. The box has a mass of 5kg. What amount of work must be completed in order to lift the box?
Answers
Answer:
The work completed is 73.5 Joule
Explanation:
Mechanical Work
Mechanical work is the amount of energy transferred by a force that moves an object by a certain distance. It's a scalar quantity, with SI units of joules.
Being the force and the displacement the work is calculated as:
W=F.s
The box of m=5 kg is lifted by a distance of s=1.5 m. The force applied to lift the box is equal to the weight of the box, assuming it's lifted at a constant speed, thus:
F = mg = 5 * 9,8 = 49 N
The work is:
W = 49 N * 1.5 m
W = 73.5 J
The work completed is 73.5 Joule
What did the solar system look like when it was first forming?
Answers
About 4.5 billion years ago, a dense cloud of interstellar gas and dust gave rise to our solar system. The supernova shockwave from a nearby exploding star, or supernova, may have caused the cloud to collapse.
What planet was the first to form?Within the initial 10 million years of the solar system's formation, Jupiter and Saturn are assumed to have formed first and fast. Rocky planets start to develop in the warmer, star-closer regions of the disk. There isn't much gas left for the terrestrial planets to accrete after the formation of the icy giants.
Was there an earlier solar system?Let's, therefore, travel back in time more than 4.6 billion years to the time before Earth, Sun, and even Solar System existed. We were surrounded by gas and dust, most likely in one of the spiral arms. Do you want to know how it appeared? Your favorite Hubble Space Telescope images should be helpful.
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Our solar system was created from a massive cloud of interstellar gas and dust some 4.5 billion years ago. The collapse of the cloud may have been triggered by the supernova boom from a nearby exploding star.
Jupiter and Saturn are believed to have formed initially and quickly during the first 10 million years of the solar system's creation. In the warmer, star-closer parts of the disc, rocky planets begin to form. After the development of the icy giants, there is not much gas left for the terrestrial planets to accrete. Therefore, let's go back in time more than 4.6 billion years to the period before the Earth, Sun, and even the Solar System were created. Dust and gas were all around us called supernova.
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What is the frequency of the wave
Answers
Answer:
The frequency of a wave is the number of waves that pass by each second, and is measured in Hertz (Hz).
Explanation:
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 10 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
on a highway without median dividers, you must stop at least 10 feet away from a stopped school bus, even if the bus is going in the opposite direction.
Answers
In most US states, drivers are required to stop when a school bus stops, except if it has a median divider, to allow children to cross the road safely.
These laws were established to minimize the likelihood of a child being struck by a motor vehicle while entering or exiting a school bus on a busy road. The majority of school buses are equipped with stop signals and flashing lights to inform drivers when to stop and when it is safe to proceed.
The law, however, varies by state. In some states, drivers must stop both ways, regardless of whether the bus is on the other side of the street or not. In most states, including Georgia, you must stop if you are behind the bus or on the same side of the street.
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the table below shows the right ascensions of two stars at a location.
Name of star Right ascension
Star 1 2 hours
Star 2 4 hours 30 minutes
What is the interval between the times when the two stars rise at the location? (10 points)
Group of answer choices
2 hours
30 minutes
2 hours 30 minutes
4 hours 30 minutes
Answers
Answer:
Explanation:
It would actually be A. 30 , as each hour of ascension (i am not sure about the correct terminology) equals 15 .
Answer:
30
Explanation:
How is energy related to the change of state represent ed by the model
Answers
Answer:
Atoms gain energy as a solid changes to a liquid. If atoms energy during a change of state, they are pulled together by attractive forces and become more organized.
Explanation:
Why are circuit breakers and fuses important?
Answers
Answer:
A fuse and circuit breaker both serve to protect an overloaded electrical circuit by interrupting the continuity, or the flow of electricity. ... Fuses tend to be quicker to interrupt the flow of power, but must be replaced after they melt, while circuit breakers can usually simply be reset.
Oh no! You did not stop in time as you were trying to brake to avoid getting in an accident. If your velocity changed from 29 m/s to 15 m/s all within 2.3 seconds, what is the acceleration you hit the car in front of you as you tried to stop?
NOTE: Are you accelerating or decelerating in this case? How will this affect your acceleration value?
A. 6.1 m/s2
B. -0.4 m/s2
C. -6.1 m/s2
D. -1.8 m/s2
Answers
Answer:
C. -6.1 m/s2
Explanation:
a = (vf - vi) / t = (15 m/s - 29 m/s) / 2.3 s = -6.1 m/s2
You are decelerating (slowing down); value is negative
what was the lowest temperature ever recorded on earth?
Answers
Answer:
From Dr. Stephen Warren, University of Washington (8/22/2007): The world record for low temperature was set at Vostok Station, Antarctica, on 21 July 1983. Cerveny et al. (2007) give this temperature as -89.4°C in their Table 2, quoting Krause and Flood (1997), who gave the same value.
(Hope this answered your question!)
what plant produces energy
Answers
Explanation:
Well it depends on what type of energy all plants produce energy for them to survive but if its a certain energy your looking for make sure to put it in you quesion
How is energy transferred during the water cycle? Question 1 options: Water gains energy during evaporation and releases it during condensation in the atmosphere Water gains energy during evaporation and condensation in the lithosphere. Water gains energy in condensation and releases it in evaporation. Water releases energy during evaporation and condensation.
Answers
Answer:
Water gains energy during evaporation and releases it during condensation in the atmosphere
Explanation:
In the water cycle, heat energy is gained or lost by water as it undergoes various processes in the cycle.
In evaporation, water molecules gains energy because the molecules of water vibrate faster and become more energetic. Hence they are able to escape into the atmosphere from the surface of the liquid.
In condensation, the molecules of gaseous water looses energy and becomes liquid.
Hence, water gains energy during evaporation and releases it during condensation in the atmosphere.
Answer:
K12 HE HE
Explanation:
A 4800 Watt heater is supposed to be plugged into a 120 volt outlet to work correctly. If the heater was plugged into a 90 volt source instead, the amount of heat produced would
Answers
Answer:
3600
Explanation:
90 of 120 is 3/4 so 4800 - 1200 is 3600.
In an internal combustion engine, heat flow into a gas causes it to
.
Answers
Answer:
Along path BC of the Otto cycle, heat transfer Qh into the gas occurs at constant volume, causing a further increase in pressure and temperature. This process corresponds to burning fuel in an internal combustion engine, and takes place so rapidly that the volume is nearly constant.
Which vector below goes from (0, 0) to (-2, 3)?
Answers
Why might the retrospective nature of the ratings be a problem?
Answers
The retrospective nature of rating might be a problem because the risk of a large additional premium of an employer's actual losses are significantly greater than expected.
Retrospective Nature of RatingsIt is a rating plan that adjusts the premium, subject to a certain minimum and maximum, to reflect the current loss experience of the insured.
The aim of Retrospective Nature of Rating is to adjust the premium for the insurance to which it applies on the basis of losses incurred during the period covered by that insurance. The intent is to charge a premium which reflects those losses.
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Please help! I really need it.
Answers
I believe the answer is Justine, correct me if I’m wrong.
6. what might be the problem if none of the nic lights are working?
Answers
If none of the NIC (Network Interface Card) lights are working, it could indicate a few potential problems:
Power issue: Check if the NIC is receiving power. Ensure that the NIC is properly connected to the power source and that the power cable is securely plugged in. Try using a different power outlet or cable to rule out any issues with the power source.
Faulty NIC: The NIC itself may be faulty or damaged. Consider replacing the NIC with a known working one to determine if the problem lies with the card itself. Alternatively, you can try installing the NIC in a different computer to see if it functions correctly there.
Connection problem: Verify that the network cable is properly connected to the NIC and the network device (e.g., router, switch). Ensure that the cable is securely plugged into both ends and that there are no visible signs of damage. If possible, try using a different Ethernet cable to eliminate the possibility of a faulty cable.
Network device issue: The problem could lie with the network device itself, such as the router or switch. Check the device's power and connectivity status. Restarting the network device might help resolve any temporary issues it may be experiencing. If other devices connected to the same network device are working fine, then the issue is likely isolated to the NIC.
Driver or software problem: Ensure that the appropriate drivers for the NIC are installed and up to date. Outdated or incompatible drivers can cause issues with the NIC's functionality. Check the manufacturer's website for the latest driver versions and consider reinstalling or updating the drivers.
Hardware or motherboard issue: In some cases, the problem may be related to the computer's hardware or motherboard. Check for any loose connections, damaged ports, or other hardware-related problems. If you suspect a motherboard issue, consulting a professional technician or contacting the manufacturer's support may be necessary.
It's important to note that troubleshooting network connectivity issues can vary depending on the specific hardware, operating system, and network setup. If you're unsure or unable to resolve the problem, seeking assistance from a knowledgeable technician or IT support is recommended.
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A block of lead has dimensions of 4.50 cm by 5.20 cm by 6.00 cm. The block weighs 1587 g. From this information, calculate the density of lead.
Answers
Answer:
11.3 g/cm^3
Explanation:
density = mass/volume
volume of rectangular prism = length * width * height
volume = (4.50 cm)(5.20 cm)(6.00 cm) = 140.4 cm^3
mass = 1587 g
density = (1587 g)/(140.4 cm^3)
density = 11.3 g/cm^3
How fast would an object with a mass of 100kg need to be going to hit the previous mass head on and come to a complete stop?
Answers
The required velocity of mass 100 kg is 3.75 m/s.
What is the required velocity of the mass 100 kg?
The required velocity of mass 100 kg is determined by applying the principle of conservation of linear momentum as follows;
This principle states that in an isolated or closed system, the sum of the initial momentum of an object is equal to the sum of the final momentum.
momentum of the 100 kg mass = momentum of 150 kg mass
100 kg x v = 150 kg x 2.5 m/s
v = ( 375 kg m/s ) / ( 100 kg )
v = 3.75 m/s
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The complete question is below:
A mass of 150 kg is moving 2.5 m/s. How fast would an object with a mass of 100kg need to be going to hit the previous mass head on and come to a complete stop?
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Answers
Blank is the change in position of an object