A block of mass m = 2.5 kg is attached to a spring with spring constant k = 730 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 21° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. In the initial position, where the spring is compressed by a distance of d = 0.11 m, the mass is at its lowest position and the spring is compressed the maximum amount. Take the initial gravitational energy of the block as zero.
A) What is the block's initial mechanical energy?
B) If the spring pushes the block up the incline, what distance, L, in meters will the block travel before coming to rest? The spring remains attached to both the block and the fixed wall throughout its motion.
Answers
Answer:
A) Em = 4.41 J
B) L = 0.33m
Explanation:
A) The total mechanical energy of the block is the elastic potential energy due to the compressed spring. The gravitational energy is zero. Then you have:
\(E_m=\frac{1}{2}k(\Delta x)^2\)
k: constant's spring = 730 N/m
Δx: distance of the compression = 0.11m
You replace the values of k and Δx:
\(E_m=\frac{1}{2}(730N/m)(0.11m)^2=4.41\ J\)
B) To find the distance L traveled by the block you take into account that the total mechanical energy of the block is countered by the work done by the friction force, and also by the work done by the gravitational energy.
Then, you have:
\(E_m-W_f-W_g=0\\\\W_f=(\mu Mg cos\theta)L\\\\W_g=(Mgsin\theta)L\)
μ: coefficient of kinetic friction = 0.19
g: gravitational acceleration = 9.8m/s^2
M: mass of the block = 2.5kg
θ: angle of the inclined plane = 21°
You replace the values of all parameters:
\(E_m-W_f-W_g=0\\\\4.41-(0.19)(2.5kg)(9.8m/s^2)(cos21\°)L-(2.5kg)(9.8m/s^2)(sin21\°)L=0\\\\4.41-4.34L-8.78L=0\\\\4.41-13.12L=0\\\\L=0.33m\)
hence, the distance L in which the block stops is 0.33m
(a) The block's initial mechanical energy on the given position is 4.42 J.
(b) The distance traveled by the block when it is pushed by the spring before coming to rest is 1.02 m.
The given parameters;
mass of the block, m = 2.5 kgspring constant, k = 730 N/mangle of inclination, θ = 21°coefficient of friction, μ = 0.19compression of the spring, x = 0.11 mThe block's initial mechanical energy is calculated as follows;
\(E = K.E _i + P.E_i\\\\E = \frac{1}{2} mv^2 \ + \ \frac{1}{2} kx^2\\\\E = \frac{1}{2} m (0)^2 \ + \ \frac{1}{2} \times 730 \times (0.11)^2\\\\E = 4.42 \ J\)
The block will travel up if the energy applied by the spring is greater than the work-done by frictional force on the block.
The work-done on the block by the frictional force is calculated as follows;
\(W_f = F_k \times d\\\\W_f= \mu_k F_n \times d\\\\W_f = \mu_k mgcos(\theta) \times d\\\\W_f = (0.19)(2.5)(9.8)cos(21) \times d \\\\W_f = 4.346 d\)
Apply work-energy theorem;
\(4.346d = 4.42\\\\d = \frac{4.42}{4.346} = 1.02 \ m\)
Thus, the distance traveled by the block when it is pushed by the spring before coming to rest is 1.02 m.
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Related Questions
What amount of force is required to accelerate a 20 gram toy car at 5 m/s²?
O 150 N
O 100 N
O 50 N
Ο ΟΝ
Answers
Answer:
100
Explanation:
F = m * a
Given that the mass (m) of the toy car is 20 grams (or 0.02 kilograms, since 1 kilogram = 1000 grams) and the acceleration (a) is 5 m/s^2, we can plug these values into the formula to calculate the force (F):
F = 0.02 kg * 5 m/s^2 = 0.1 N
So, the amount of force required to accelerate the 20 gram toy car at 5 m/s^2 is 0.1 N, which is equivalent to 100 N when rounded to the nearest whole number. Therefore, the correct answer is 100 N.
1. A ball is at rest on the top of a hill (see the figure).
At the top of the hill, the ball will have [the maximum value of its, no, the minimum value of its] gravitational potential energy and [no, the maximum value of its] kinetic energy. If the ball rolls down the hill then, its [gravitational potential energy, kinetic energy] is converted to [gravitational potential energy, kinetic energy] when it gets to the ground.
2. Get your stopwatch ready and prepare to drop the object from the height h you selected in the previous step. You should drop the object so its [bottom, top, middle] part is initially at the height h. The initial speed of the ball [zero, 9.8 m/s, 9.8 m/s^2, depends on the height h] You'll need to measure the time from when the ball leaves your hand to exactly when it hits the ground [ for the first time it bounces, after it bounces and then comes to rest, both the first time and then after it bounces; then average the two times]
.
Answers
2. When dropping the object, you should drop it so its top part is initially at the height h. The initial speed of the ball will be zero since it starts from rest. To measure the time it takes for the ball to hit the ground, you should start the stopwatch when the ball leaves your hand and stop it when the ball hits the ground for the first time. It is recommended to perform multiple trials and calculate the average time to minimize errors.
An automobile tire has a volume of 0.0185 m 3 3 . At a temperature of 294 K the pressure in the tire is 212 kPa. How many moles of air must be pumped into the tire to increase its pressure to 252 kPa, given that the temperature and volume of the tire remain constant?
Answers
The number of moles of the air will be 1.6.
What is an ideal gas equation?The equation of state for a fictitious ideal gas is known as the ideal gas law, also known as the general gas equation. Although it has some restrictions, it is a good approximation of the behaviour of many gases under various circumstances.
Given that an automobile tire has a volume of 0.0185 m ³. At a temperature of 294 K, the pressure in the tire is 212 kPa.
Calculate the volume at pressure P₂,
P₁V₁ = P₂V₂
V₂ = ( P₁V₁ ) / P₂
V₂ = ( 212 x 0.0185 ) / 252
V₂ = 0.0155 m³
The number of the moles will be calculated as:-
PV = nRT
n = ( P₂V₂ / RT)
n = ( 252 x 0.0155 x 1000 ) / ( 8.3145 x 294 )
n = 1.6 moles
Therefore, there will be 1.6 moles in the air.
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Which of the following is true about science and technology?
A.
Advancements in science cannot lead to advancements in technology, but technological advancements can lead to scientific advancements.
B.
Advancements in science cannot lead to advancements in technology, and technological advancements cannot lead to scientific advancements.
C.
Advancements in science can lead to advancements in technology, and technological advancements can also lead to scientific advancements.
D.
Advancements in science can lead to advancements in technology, but technological advancements cannot lead to scientific advancements.
Answers
Answer:
it is my first time to login on brainly thats why i didnt answer your question
Principle 7: An object will continue to remain at rest or move at a constant speed and in a straight line
unless it is subjected to unbalanced forces.
1. List the supporting phenomena:
Answers
The supporting phenomena for Principle 7, also known as Newton's first law of motion or the law of inertia, include:
Inertia of an object: An object's tendency to resist changes in its motion. If an object is at rest, it will remain at rest unless acted upon by an unbalanced force. Similarly, if an object is moving at a constant speed in a straight line, it will continue to do so unless acted upon by an unbalanced force.
Conservation of momentum: If the net external force acting on a system is zero, the total momentum of the system remains constant. This implies that objects in motion will continue moving at a constant velocity in the absence of external forces.
Smooth and frictionless surfaces: When an object is placed on a smooth and frictionless surface, it can continue to move at a constant speed and in a straight line due to the absence of external forces such as friction or resistance.
Space travel: In outer space, where there is no significant gravitational or atmospheric resistance, objects can continue moving at a constant speed and in a straight line once set in motion, due to the absence of significant external forces.
Free-falling objects: In the absence of air resistance, objects falling freely near the surface of the Earth experience negligible external forces. As a result, they continue to accelerate downward at a constant rate (due to gravity) without any change in their direction until they encounter other forces like air resistance or contact with the ground.
These phenomena provide evidence and support for the principle that an object will remain at rest or move at a constant speed and in a straight line unless acted upon by unbalanced forces.
2. What are some of the advantages of the metric system?
Answers
Answer:
Prefixed naming convention. All metric units are clearly related to each other using prefixes. ...
Explain the difference between a high tide and a low tide.
Answers
Answer: Tidal range
Explanation:
Tides are considering the rise and fall of sea levels and there are two types of it which are called high tide and low tide. The difference between high tide and low tide is called the tidal range.
The tidal range is not constant and it is considering height difference. It can change and it is depending on the locations of the Sun or the Moon.
High tide is the highest level of the place where the water rises because when the water rises to its highest level, then the water is reaching its high tide.When it comes to low tide, then it is the opposite of high tide. Water is reaching its lowest level.
You have to lift a 15 kg object. What is your output force?
Using a lever, you push down 20 N to lift a 10 kg object.
A) Find the output force.
B) What is the input force?
C) How much does the ramp multiply your force?
You push with 10 N up a ramp to move a 40 N object to the top
of a table. By how much does the ramp multiply your force?
Answers
Answer:
Explanation:
A) The output force required to lift a 15 kg object would be equal to the weight of the object, which is given by:
Output force = Weight of object = m * g
where m is the mass of the object and g is the acceleration due to gravity. Assuming that g is equal to 9.81 m/s^2, we have:
Output force = 15 kg * 9.81 m/s^2 = 147.15 N
Therefore, the output force required to lift a 15 kg object would be 147.15 N.
B) In this case, the input force is the force that you are pushing down with the lever, which is given as 20 N.
C) The mechanical advantage of the ramp is given by the ratio of the output force to the input force. In this case, the output force is the weight of the object (40 N) and the input force is the force that you are pushing with (10 N). Therefore, the mechanical advantage of the ramp would be:
Mechanical advantage = Output force / Input force = 40 N / 10 N = 4
So, the ramp multiplies your force by a factor of 4.
Note that in all of these calculations, we have assumed that the system is ideal and that there are no losses due to friction or other factors. In practice, these losses will reduce the mechanical advantage of the system and make it more difficult to lift or move objects.
Some dragonflies splash down onto the surface of a lake to clean themselves. After this dunking, the dragonflies gain altitude, and then spin rapidly at about 1100 rpm to spray the water off their bodies. When the dragonflies do this "spin-dry," they tuck themselves into a "ball" with a moment of inertia of 2.0×10−7kg⋅m2 . How much energy must the dragonfly generate to spin itself at this rate?
Answers
The dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.
Start by converting the rotational speed from rpm (revolutions per minute) to rad/s (radians per second). Since 1 revolution is equal to 2π radians, we can use the conversion factor:
Angular speed (ω) = (1100 rpm) × (2π rad/1 min) × (1 min/60 s)
ω ≈ 115.28 rad/s
The moment of inertia (I) is given as 2.0 × 10^-7 kg⋅m².
Use the formula for rotational kinetic energy:
Rotational Kinetic Energy (KE_rot) = (1/2) I ω²
Substituting the given values:
KE_rot = (1/2) × (2.0 × 10^-7 kg⋅m²) × (115.28 rad/s)²
Calculate the value inside the parentheses:
KE_rot ≈ (1/2) × (2.0 × 10^-7 kg⋅m²) × (13274.28 rad²/s²)
KE_rot ≈ 1.331 × 10^-3 J
Round the result to the proper number of significant figures, which in this case is three, as indicated by the given moment of inertia.
KE_rot ≈ 4.8 × 10^-4 J
Therefore, the dragonfly must generate approximately 4.8 × 10^-4 Joules of energy to spin itself at a rate of 1100 rpm.
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Describe the fit* formula for moderate physical activities
Answers
Fit formula for moderate physical activities is Frequency , intensity , time and type exercise.
The FIT formula of achieving healthy lifestyle is frequency , intensity type and time exercise. It is a flexible exercise framework for achieving health and well being.
Frequency is how often you exercise . Intensity is how hard you are working . Type is a type of exercise you are doing and Time is how long you exercise .F = 5 or more days per week . I = equal to brisk walk. T = at least 30 to 60 mins.
Thus, FIT formula for moderate physical activities is Frequency , intensity , type and time exercise.
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A scientist asks, "Does a skateboard move faster on sand or gravel?" Which
experiment could answer this question?
A. Weigh 1 gallon of sand, then roll a skateboard on that sand.
B. Roll a skateboard on sand, then roll it on gravel.
C. Push a skateboard down a gravel hill, then push the skateboard on the
road.
O A
OB
O C
HINT
SUBMIT
Answers
Roll a skateboard on sand, then roll it on gravel. - this experiment could answer this question. Hence, option (B) is correct.
What is experiment?An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.
The purpose and scope of experiments vary widely, but they all rely on a repeatable process and a logical examination of the outcomes. Natural experimental experiments are also a thing.
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1. The drawing shows a skateboarder moving at 5.4 m/s along a horizontal section of a track that is
slanted upward by 48° above the horizontal at its end, which is 0.40 m above the ground. When she
leaves the track, she follows the characteristic path of projectile motion. Ignoring friction and air
resistance, find the maximum height H to which she rises above the end of the track.
Answers
Projectile motion is the curved path motion of a body launched into the air near the Earth's surface and having a horizontal velocity.
The maximum height to which the skateboarder rises, H, is approximately 0.6 meters above the end of the track.Reason:
Given parameter are;
Initial velocity of the skateboarder, v₁ = 5.4 m/s
Inclination of the track, above the horizontal, θ = 48°
Height of the end of the elevated track, h ≈ 0.40 m
Path of the skateboarder when she leaves the track = Path of a projectile
Required:
Maximum height H to which she rises above the end of the track.
Solution;
From v² = u² - 2·g·h, at the end of the track where;
h = 0.40 m
u = Initial velocity = 5.4
g = 9.81 m/s²
We have;
v₂² ≈ 5.4² - 2 × 9.81 × 0.40 = 21.312
The velocity at which she leaves the track, v₂ ≈ √(21.312 m²/s²).At the maximum height, H, we have;
\(\displaystyle v__y\) = 0
Therefore, from \(\displaystyle v__y\)² = \(\displaystyle u__y\)² - 2·g·H, where;
\(\displaystyle u__y\)² = 2·g·H
\(H = \dfrac{u_y^2}{2 \cdot g}\)Which gives;
\(H = \dfrac{21.312}{2 \times 9.81} \times sin^2(48^{\circ}) \approx 0.6\)Therefore;
The maximum height to which she rises above the end of the track, H ≈ 0.6 m.Learn more about projectile motion here:
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A car has a mass of 1200 kg and an acceleration of 4 m/s^2. If the friction on the car is 200 N, how much force is the thrust providing?
Answers
Answer:
5000N
Explanation:
According to Newton's second law of motion, the net force (∑F) acting on a body is the product of the mass (m) of the body and the acceleration (a) of the body caused by the force. i.e
∑F = m x a -------------(i)
From the question, the net force is the combined effect of the thrust (F) and the friction force (Fₓ). i.e
∑F = F + Fₓ -------------(ii)
Where;
Fₓ = -200N [negative sign because the friction force opposes motion]
Combine equations(i) and (ii) together to get;
F + Fₓ = m x a
F = ma - Fₓ -------------(iii)
Where;
m = mass of car = 1200kg
a = acceleration of the car = 4m/s²
Now substitute the values of m, a and Fₓ into equation (iii) as follows;
F = (1200 x 4) - (-200)
F = 4800 + 200
F = 5000N
Therefore, the force the thrust is providing is 5000N
A constant net force F acts on a body during a time interval t. If u and v are the initial and final velocity of the body respectively, the impulse Ft of this force is given by the equation Ft = mv-mu.
Answers
Answer:
Impulse is defined as change in momentum of an object divided by time interval.
at t= 0s
initial velocity = u , initial momentum = mu
at some time t .
final velocity = V, final momentum= mv.
now, change in momentum= ( final - initial) = ( mv-mu)
time interval = (t-0) = t
impulse force = (mv-mu)/ ( t)
Ft = (mv-mu) proved .
this law is known as Newton's second law.
find the decrease in kinetic energy from the collision for the system containing both hockey players .
a 90.0 -kg hockey player moves at 5.0 m/s and collides head-on with a 110-kg player moving at 3.0 m/s in the opposite direction. after the collision, they move off together at 1.0 m/s.
Answers
Answer:
c h i c k e n n u g g e t s . . . . . .
jk its 2.6
suppose you do 457 J of work on 1.18 moles of ideal He gas in a perfectly insulated container. by how much does the internal energy change? does it increase or decrease?
Answers
Gas's internal energy has increased as evidenced by the positive change in internal energy per mole of He gas. As a result, the change is positive, and the internal energy of the ideal. The gas rises by around 387 J/mol.
how to calculate internal energy?The system has undergone 457 J of work, which results in a 457 J rise in internal energy. A perfect gas's internal energy is only influenced by its temperature and is proportionate to the moles of the gas. The following formula can be used to determine the change in internal energy per mole of He gas:
U is equal to (457 J) / (1.18 mol) 387 J/mol.
What is the sole determinant of the internal energy of an ideal gas with mass m?As a result, the gas-only has translational kinetic energy, and as a result, the ideal gas' internal energy is solely dependent on temperature.
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Some crosswalks timers are set in consideration that persons older than 65 walk at an average pace of 2.9 ft/sec. Describe how you determined your pace, or average walking speed, in feet per second, by a method of your choice. How does your pace compare to the average pace of persons older than 65?
Answers
You can determine the average walking speed by registering the distance covered by different people in the same group. My pace is higher than people older than 65.
How to determine the walking pace?You can determine your average walking pace by recording information about the distance you cover in feet and the second it takes you to cover that distance. Here is an example:
450 feet / 100 seconds = 4.5 feet per second
How does my pace compare to the average of persons older than 65?My pace is faster than the walking pace of someone who is 65.
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Write the differences between rest and motion
Answers
Answer:
Depends on position
Explanation:
Rest:
A body is said to be at rest, if it does not change its position with respect to its surroundings.
Motion:
A body is said to be in motion, if it changes its position with respect to its surroundings.
The state of rest and motion is relative
E._____________________
Answers
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two identical neutral metal spheres rest on an isolated table if you wanted to give it a net positive charge while spear to is given a net negative charge Which statement explains the movement of charges during the charging process
Answers
Answer:
its c
Explanation:
A rock is thrown with an initial vertical velocity 50 m/s at an angle of 40 degrees.
a. What is the horizontal component of the velocity?
b. What is the vertical component of the velocity?
c. What is the hang timel?
d. What is the peak height?
e. What is the range?
Answers
Answer:
\(38.3\ \text{m/s}\)
\(32.14\ \text{m/s}\)
6.55 seconds
\(52.65\ \text{m}\)
\(254.84\ \text{m}\)
Explanation:
u = Initial velocity of rock = 50 m/s
\(\theta\) = Angle of throw = \(40^{\circ}\)
g = Acceleration due to gravity = \(9.81\ \text{m/s}^2\)
Horizontal component is given by
\(u_x=u\cos\theta\\\Rightarrow u_x=50\times \cos40^{\circ}\\\Rightarrow u_x=38.3\ \text{m/s}\)
The horizontal component of the velocity is \(38.3\ \text{m/s}\)
Vertical component is given by
\(u_y=u\sin\theta\\\Rightarrow u_y=50\times \sin40^{\circ}\\\Rightarrow u_y=32.14\ \text{m/s}\)
The horizontal component of the velocity is \(32.14\ \text{m/s}\)
Time of flight is given by
\(t=\dfrac{2u\sin\theta}{g}\\\Rightarrow t=\dfrac{2\times 50\sin40^{\circ}}{9.81}\\\Rightarrow t=6.55\ \text{s}\)
The hang time of the rock is 6.55 seconds
Maximum height is given by
\(h=\dfrac{u^2\sin^2\theta}{2g}\\\Rightarrow h=\dfrac{50^2\sin^240^{\circ}}{2\times 9.81}\\\Rightarrow h=52.65\ \text{m}\)
Maximum height is \(52.65\ \text{m}\)
Range is given by
\(d=\dfrac{u^2\sin2\theta}{g}\\\Rightarrow d=\dfrac{50^2\sin(2\times40)^{\circ}}{9.81}\\\Rightarrow d=254.84\ \text{m}\)
The range is \(254.84\ \text{m}\)
what is the average velocity of a van that moves from 0 to 60 m east and 20 seconds
Answers
Explanation:
I have a lot to say it was very nice to meet my parents are u doing well I dont want too its been so much I love you so I was like u know I am not a man but you are the auditions I have been in a long long long life is a triangle and a chair for me and my parents think about the way I
What is a population?
Group of answer choices
A. a group of individuals of the same species living in the same area
B. a group of different species living in the same area
C. a group of individuals of the same species living in separated areas a group of different species living in separated areas
Answers
Answer:
A
Explanation:
What happens to a copper wire when it is moved across a magnetic field?
A. Voltage and electric current are induced
B. It’s attracted to the positive pole of magnetic field
C. Electric current is induced, but not voltage.
D. It’s attracted to negative pole of magnetic field
Answers
Answer:
it is attracted to negative pole
A copper wire will get attracted to negative pole of magnetic field when it
is moved across it
The copper wire has free electrons in it which when moved across the
magnetic field will result in the movement of the electrons to the negative
pole of the magnetic field.
This is because unlike poles attract and like poles repel. Copper is a metal
and positively charged and so it gets attracted to the negative pole during
electron flow.
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the conductor offers some amount of ohmic resistance to the flow of electrons, depending on the type of material from which the conductor is made, its length, and its .
Answers
Depending on the type of material used, the length, and other factors, the conductor provides some ohmic resistance to the flow of electrons.
Because electrons in a conducting wire reject one another, a conducting wire provides resistance to the flow of electrons. The electrolyte resistance, the current collector resistance, the active mass, and the transition resistance between the current collector and active mass are added to create the ohmic resistance, or RB.
Theoretically, in accordance with Ohm's rule, the voltage at the ohmic resistance instantly follows the battery current. A substance or material that permits the flow of electricity is known as an electrical conductor. Electrical charge carriers, often electrons or ions, flow freely in a conductor.
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Contingent upon the sort of material utilized, the length, and different variables, the guide gives ohmic protection from the progression of electrons.
Since electrons in a directing wire reject each other, a leading wire gives protection from the progression of electrons. The electrolyte obstruction, the ongoing authority opposition, the dynamic mass, and the progress obstruction between the ongoing gatherer and dynamic mass are added to make the ohmic obstruction or RB.
Hypothetically, as per Ohm's standard, the voltage at the ohmic obstruction in a split second follows the battery current. A substance or material that allows the progression of power is known as an electrical transmitter. Electrical charge transporters, frequently electrons or particles, stream uninhibitedly in a transmitter.
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What is the downward force exerted by the atmosphere on a football field whose dimensions are 9000 cm by 5500 cm. (Atmospheric pressure = 101 kPa)
Answers
Answer:
4.99 * 10^8 Nm²
Explanation:
Given that:
Dimension of football field = 9000 cm by 5500 cm
Area of field = lengtb * width
Area of field = 9000cm * 5500 cm
Area of field = 49500000 cm²
Converting the area to m²
49500000 cm² in m² equals :
49500000 / 10000 = 4950 m²
Pressure = Force / Area
Atmospheric Pressure = 101 Kpa = 101 * 10^3 Pa
Force = pressure * Area
Force = (101 * 10^3) * 4950 m²
Force = 4.99 * 10^8 Nm²
True or false - Weight is measured in pounds; mass is measured in Newtons. Identify your answer, then explain your answer selection.
Answers
ANSWER:
False
STEP-BY-STEP EXPLANATION:
Weight is a type of force that is equal to mass times acceleration, that is, it is measured in force units such as newtons.
Mass is the amount of matter in a body, its units can be pounds or kilograms.
Therefore, the statement is false.
Which statement describes the way in which energy moves between a
system of reacting substances and the surroundings?
OA. The potential energy of the system and its surroundings
increases.
B. The thermal energy of the system and its surroundings increases.
C. Molecular collisions create energy that is then released into the
surroundings.
D. Molecular collisions transfer thermal energy between the system
and its surroundings.
Answers
The correct statement is Molecular collisions transfer thermal energy between the system and its surroundings. Thus, option D is correct.
The energy moves between a system of reacting substances and the surroundings by the collision of molecules. The transfer of heat or thermal energy between the system and its surroundings by the process of Conduction. Conduction is the process of transmitting the heat to the neighboring atoms or collisions by the process of collisions.
The conduction takes place more steadily in solids and liquids where the molecules are closer together. When the molecules are collided with the nearby molecules, the potential energy is converted into kinetic energy and hence the heat energy is transferred between the system and its surroundings.
Hence, Molecular collisions transfer thermal energy between the system and its surroundings. Thus, the correct option is D.
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Mark weighs 375 N and is carrying a full-sized cello as he climbs the stairs to a height of 4 m. It takes him 3 seconds to do this.
How does the amount of work he does change if he were to climb the same flight of stairs again in the same amount of time, but this time without the cello?
A) It depends on the weight of the cello.
B) It remains the same.
C) It increases
D) It decreases.
Answers
Mark's work decreases when he climbs the same flight of stairs again in the same amount of time without the cello.
The correct answer is option D.
The amount of work Mark does depends on the weight of the cello, as well as the distance he climbs and the time it takes. Work is calculated using the formula :
Work = Force × Distance.
In the given scenario, Mark is carrying a full-sized cello while climbing the stairs. The weight of the cello adds to the force he exerts. So, the total force Mark exerts is the weight of the cello plus his own weight (375 N).
When Mark climbs the stairs with the cello, he is doing work against the force of gravity.
The work done is equal to the force exerted multiplied by the distance climbed (375 N + weight of cello) × 4 m.
Now, if Mark were to climb the same flight of stairs again in the same amount of time (3 seconds), but this time without the cello, the amount of work he does would decrease. This is because without the cello, the force exerted would only be Mark's weight (375 N), which is less than the total force exerted with the cello.
Therefore, mark's work decreases.
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As thermal energy is added to a sample of water, the potential energy of its
molecules increases, and then the kinetic energy of its molecules increases.
Which sections of the heating curve illustrate this process?
Temperature (°C)
200
150-
100
50
0
7
-50-
0
A
T
10
T
20
с
B
T
30
40
Time (min)
A. B followed by D
B. C followed by B
C. A followed by B
D. B followed by C
50
60
D
70
Answers
As thermal energy is added to a sample of water, the potential energy of its molecules increases, and then the kinetic energy of its molecules increases.
The sections of the heating curve illustrate this process is B followed by D
Therefore option A is correct.
What is thermal energy?Thermal energy (also called heat energy) is described as being produced when a rise in temperature causes atoms and molecules to move faster and collide with each other.
some factors of thermal energy include:
Mass of objectTemperature of the object Phase (solid, liquid, gas) of the object
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