Given,
The mass of the block, m=51.0 kg
The angle, θ=-25°
The coefficient of static friction, μ_s=0.1
The coefficient of kinetic friction, μ_k=0.03
(a)
The minimum force that is needed to get the block moving is equal to the static frictional force that acts on the block.
Thus, the minimum force required is,
\(\begin{gathered} F=N\mu_s \\ =mg\mu_s \end{gathered}\)Where N is the normal force acting on the block and g is the acceleration due to gravity.
On substituting the known values,
\(\begin{gathered} F=51.0\times9.8\times0.1 \\ =49.98\text{ N} \end{gathered}\)Thus the minimum force needed to get the block moving is 49.98 N
(b)
When the block starts to move, the static friction will no longer act on the block. When the block is moving, the kinetic friction starts to act on the block.
Thus the net force on the block when it starts to move is given by,
\(\begin{gathered} F_n=ma=F-f \\ \Rightarrow ma=F-mg\mu_k \end{gathered}\)Where f is the kinetic friction acting on the block and a is the acceleration of the block.
On substituting the known values,
\(\begin{gathered} 51.0a=49.98-51.0\times9.8\times0.03 \\ \Rightarrow a=\frac{49.98-51.0\times9.8\times0.03}{51.0} \\ =0.69\text{ m/s}^2 \end{gathered}\)Thus, the acceleration of the block once it starts to move is 0.69 m/s²
PLS HELP A magnetic field is formed when
a. the spin of the electrons is
aligned.
b.protons in a material all spin in
the opposite direction.
c. the north and south poles align.
d. a permanent magnet is dropped.
Answer:
proton in a material all spin in the opposite direction
A physics book slides off a horizontal tabletop with a speed
of 1.10 m/s. It strikes the floor in 0.480 s. Ignore air resistance.
What is the height of the tabletop above the floor in meters.
A physics book slides off a horizontal tabletop with a speed of 1.10 m/s. It strikes the floor in 0.480 s. The height of the tabletop above the floor is 0.264 m.
Given data:
Speed = 1.10 m/s
Time taken to strike the floor = 0.480 s
We are supposed to find the height of the tabletop above the floor in meters.
We can use the formula of distance to calculate the height of the tabletop above the floor.
We also need to make use of kinematic equations to find out the distance fallen by the book.
Let us first calculate the distance fallen by the book.
Let the height of the table be ‘h’.
From the kinematic equations of motion, we know thats = ut + 1/2 at²Here, u = 1.10 m/s, a = acceleration due to gravity = 9.8 m/s², t = 0.480 s
Putting these values in the above equation, we get:s = 1.10 × 0.480 + 1/2 × 9.8 × (0.480)² = 0.264 m
Now, we can find the height of the tabletop using the formula of distance.d = h + sHere, d = distance fallen by the book = h, s = 0.264 m
Putting these values in the above equation, we get: h = d = s = 0.264 m
Therefore, the height of the tabletop above the floor is 0.264 m.
For more such questions on speed, click on:
https://brainly.com/question/13943409
#SPJ8
9. Electrical pressure is also called?
A. resistance.
B. voltage.
C. conductance.
D. amperage.
Answer:
Voltage
Explanation:
The term to describe pressure in electricity terms is 'voltage'. It's measured in volts using a voltmeter.
Please answer!!!!! Thank you!!
Explanation:
hey I'm not sure but I think the answer is the gravitational force will
increase 16 times.
Answer:
D
Explanation:
The formula for the gravitation force is
Fg = G * m1 * m1 / r^2
You have to realize that nothing but the mass changes and that will make Fg change.
So G remains constant.
r remains constant
somehow m1 and m2 between them increase by a factor of 4. It does not tell how that increase takes place. It just does.
So m1 could become 4*m1
or
M2 could become 4*m2
or
m1 * m2 becomes 4 * m1 * m2
or
m1 and m2 could both increase by a factor of 2
or
any number of other combinations are possible. The point is that m1 * m2 must somehow between them make the new mass = 4 m1 * m2
Then the force Fg will increase by a factor of F. The answer is D
Which of the following is true about the International Space Station?
A
It is on the surface of Mars.
B
It is the size of ten football fields.
C
It was built from separate parts sent to space.
D
It was a partnership between the US and Soviet Union.
Answer:
c because first is totally wrong and second one is about two football fields and d is also totally wrong because it is a partnership of at least 10 countrie so.i think č is correct answer.
A 1.2kg ball rolls forward with an acceleration of 1.11 m/s. What is the net force on the ball
Answer:
1.332 N
Explanation:
Net Force = Mass x Acceleration
1.2 x 1.11 = 1.332 N
I'm so sorry if I'm wrong.
A ball with a weight of 15 N is thrown striaght up into the air with an initial speed of 14 m/s. What is the maximum height it will achieve above its starting position
Answer:
10m above initial height
Explanation:
let acceleration due to gravity = 9.8 m/s/s
v final = v initial - time • gravity
0 = 14m/s - t • 9.8m/s/s
t = 1.43 seconds to reach max height
distance = 1/2 • acceleration • time^2
distance = 1/2 • 9.8 • 1.43^2
distance = 10 meters above initial height
The picture shows two different species of mammals that use wings to glide among tree tops. However, scientists theorize that these mammals are not closely related.
Which best explains why these two animals look so similar if they are not closely related?
They have analogous structures that developed for different functions.
They have homologous structures that developed for different functions.
They live in similar environments and have analogous structures adapted to them.
They live in similar environments and have homologous structures adapted to them.
Answer:
c
Explanation:
Answer:
c
Explanation:
csCA
The process of making alloys involves pure metals to remove impurities. Then the pure metals are with other components.
The process of making alloys involves the use of pure metals to remove impurities and then combining the purified metals with other components to create a desired alloy with specific properties.
Alloys are metallic substances that are composed of two or more elements, with at least one of them being a metal. The process of making alloys typically involves several steps to ensure the desired composition and properties are achieved.Removing impurities: The first step in making alloys is to obtain pure metals. Pure metals are often extracted from ores and undergo processes such as smelting or refining to remove impurities. This purification step is important to ensure the resulting alloy has consistent properties.Composition determination: Once the pure metals are obtained, their composition is determined based on the desired alloy's characteristics. This involves considering factors such as strength, hardness, corrosion resistance, electrical conductivity, and other specific properties required for the intended application.Mixing and melting: The pure metals, along with other components or alloying elements, are mixed together in precise proportions. Alloying elements can be other metals or non-metals, such as carbon. The mixture is then heated to a high temperature to melt the metals and ensure uniform mixing.Homogenization: After melting, the alloy is typically subjected to a process called homogenization. This involves holding the molten alloy at a specific temperature for a period of time to allow for diffusion and ensure a consistent distribution of the alloying elements throughout the mixture.Cooling and solidification: Once the homogenization is complete, the molten alloy is cooled down. The cooling rate can influence the microstructure and properties of the alloy. Controlled cooling techniques may be employed to achieve specific characteristics, such as fine-grained structures or desired phase transformations.Further processing: The solidified alloy can undergo additional processes such as forging, rolling, extrusion, or heat treatment to further refine its properties and shape it into the desired final product.By following these steps, the process of making alloys ensures the removal of impurities from pure metals and the combination of those metals with other components to create alloys with specific properties suitable for various applications.For more such questions on Alloys, click on:
https://brainly.com/question/16935193
#SPJ8
momentum is conserved it can be transferred but not lost. true or false
Answer: False
explanation: because Total momentum is conserved only if the collision can be considered isolated from the influence of net external forces
Check the attached image for the question~
Answer:
put the full thin g
Explanation:
The half-life of a radioactive substance is the amount of time required for half its mass to decay. Suppose we have 41 grams of the radioactive substance Krypton. Assume that it decays continuously at an annual rate of 6.5%.
Write a function
f
that determines Krypton's mass (in grams) in terms of the number of years
t
since we measured its initial amount.
Answer:
\(N(t)=41\, \,e^{-0.065*t}\)
Explanation:
We use exponential decay for this example, considering that the initial amount of substance is 41 grams, and the continuous rate of decay is 6.5%:
\(N(t)=N_0\, \,e^{-k*t}\\N(t)=41\, \,e^{-0.065*t}\)
where N(t) is the Krypton's mass of the sample in grams, in terms of number of years "t"
Using the exponential distribution concept, the expression which models the function can be expressed thus : \( N(t) = 41 e^{0.065t} \)
Given the Parameters :
Initial mass of Krypton = 41 Decay rate, r = 6.5% = 0.065Using the exponential decay relation :
\( N(t) = N_{0} e^{rt} \) \( final \: amount = N(t) \) \( Initial \: mass = N_{0} \) \( time = t \) \( Decay \: rate = r \)Hence, following the exponential Decay relation ; the function which models the mass of krypton based on the initial amount, decay rate and time can be expressed thus :
\( N(t) = 41 e^{0.065t} \)Therefore, the function which models the scenario is \( N(t) = 41 e^{0.065t} \)
Learn more :https://brainly.com/question/10992447
Mr. Mangan picks up a rock and throws it at a third zombie, hitting it squarely
a
between the eyes. If the rock flew with a constant velocity of 50 m/s and the
zombie was 90 m away, how long was the rock in the air?
Answer:50-90=60m/s
Explanation:
u subtract
which of the models predict that galaxies should be getting farther apart now? (keep in mind that now is located at at time=0years on the graph.)
The models that predict galaxies should be getting farther apart now are; accelerating model, critical model,- and coasting model.
What is accelerating model of the galaxies?
Observations show that the expansion of the universe is accelerating, such that the velocity at which a distant galaxy recedes from the observer is continuously increasing with time.
The accelerating model of the galaxies predicts that galaxies should be getting farther apart now.
From the model presented in the graph critical model of the galaxies also predict that galaxies should be getting farther apart now.
Another model that predicts that galaxies should be getting farther apart now is coasting model.
These models can be seen in the graph as they increase proportional with time. That is the distance between galaxies increase with increase in time measured in years.
Thus, we can conclude that there models ( accelerating, critical and coasting model) predicts the relative position of the galaxies from us.
Learn more about distance between galaxies here: https://brainly.com/question/15445792
#SPJ1
Explain/Describe how atoms in domains determine whether a material is magnetic or not. (Please help this is due today)
Answer:
In a material, the magnetic behavior depends on the alignment of magnetic moments of the atoms. Magnetic moments are generated by the motion of the electrons in the atoms. When the magnetic moments of atoms in a material are aligned in a specific pattern, it creates a magnetic field which results in the material being magnetic.
In many materials, the magnetic behavior arises due to the alignment of magnetic domains, which are regions of atoms with magnetic moments aligned in the same direction. When many domains with aligned magnetic moments are present in a material, the material becomes magnetic.
The magnetic behavior of a material depends on the number of electrons and the arrangement of those electrons in the atoms. In particular, for an atom to have a magnetic moment, it must have unpaired electrons, meaning electrons that are not paired with another electron with the opposite spin. When these unpaired electrons in the atoms are aligned, they generate a magnetic moment. If all electrons are paired, there will not be a net magnetic moment, so the material will not be magnetic.
So, in summary, the magnetic behavior of a material is determined by the alignment of magnetic moments of atoms. When the magnetic moments of many atoms in a material align in the same direction, it creates a magnetic field, leading to a material being magnetic. This alignment is usually present in magnetic domains consisting of atoms with unpaired electrons.
how often the earth magnetism change
A ball is thrown vertically upwards with a velocity of 10 m /s from the balcony of a tall building.
The balcony is 15m above the ground and gravitational acceleration is 10m/s^2.
Calculate the time taken for the ball to reach maximum height.
The time taken for the ball to reach its maximum height is 1 second.
To calculate the time taken for the ball to reach its maximum height, we can use the kinematic equation for vertical motion. The equation is:
v = u + at
Where:
v = final velocity
u = initial velocity
a = acceleration
t = time
In this case, the ball is thrown vertically upwards, so the initial velocity (u) is 10 m/s (considering upwards as positive) and the acceleration (a) is -10 m/s² (negative because it opposes the motion).
The final velocity (v) at the maximum height will be zero because the ball momentarily comes to a stop before reversing its direction. Therefore, we can rewrite the equation as:
0 = 10 - 10t
Simplifying the equation, we get:
10t = 10
Dividing both sides by 10, we find:
t = 1 second
Therefore, the time taken for the ball to reach its maximum height is 1 second.
During this time, the ball covers the distance required to reach the maximum height, overcoming the gravitational acceleration. After reaching the maximum height, it will start to descend towards the ground due to the gravitational pull.
Know more about Kinematic equation here:
https://brainly.com/question/24458315
#SPJ8
what causes heat flow
Answer:
Heat flow is the movement of heat.
Explanation:
Heat flows in solids by conduction, which occurs when two objects in contact with each other transfer heat between them. That happens because the molecules hit each other, and the faster moving molecules in the hot object spread that energy into the cooler object
Credit to, https://study.com/academy/lesson/heat-flow-in-solids-fluids.html
a ball is thrown downward from the top of roof with a speed of 25 m/s. after 2 s, its velocity will be:
Answer:
12.5
Explanation:
first, v=d/t
v=25/2
v=12.5
The final velocity of the ball is 44.6 m/s.
The given parameters;
initial velocity of the ball, u = 25 m/stime of motion of the ball, t = 2 sThe velocity of the ball increases as the ball moves downward and it will become maximum before the ball hits the ground.
This velocity is known as the final velocity of the ball.
The final velocity of the ball is calculated as follows;
v = u + gt
where;
v is the final velocity of the ballg is the acceleration due t gravity = 9.8 m/s²v = 25 + 9.8(2)
v = 44.6 m/s
Thus, the final velocity of the ball is 44.6 m/s.
Learn more here: https://brainly.com/question/17956487
Explain the advantages and disadvantages of having a racecar with a small mass in reference to Newton’s 1st law of motion. Use the term inertia in your answer.
Answer:
Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This tendency to resist changes in a state of motion is inertia.
Explanation:
The efficiency of the power station is 0.38(38%). Its electrical power output is 1.9x10^9 W. Calculate the input to the power station
The input to the power station is 5x10^9 W. This means that the power station requires an input of 5x10^9 watts to produce an electrical power output of 1.9x10^9 watts with an efficiency of 38%.
The efficiency of a power station is defined as the ratio of its output power to input power. Therefore, we can use the efficiency and the electrical power output of the power station to calculate its input power as follows:
Efficiency = Output power / Input power
Solving for input power, we get:
Input power = Output power / Efficiency
Substituting the given values, we get:
Input power = 1.9x10^9 W / 0.38
Input power = 5x10^9 W (to two significant figures)
The rest of the input power is lost as heat due to inefficiencies in the power generation process.
for more questions on power
https://brainly.com/question/1634438
#SPJ11
A car travels up a hill at a constant speed of 35 km/h and returns down the hill at a constant speed of 69 km/h. Calculate the average
speed for the round trip.
(PLEASE GIVE BRIANLIEST)
The average speed is not equal to the sum of the speeds divided by 2 because the car takes different times to cover the distance while going up and coming down the hill.
The average speed can be calculated as the total distance covered divided by the total time taken. As the speeds are constant, we can use the formula:
distance = speed * time
Let the distance traveled be "d". The time taken to go up the hill is "t1" and the time taken to come down is "t2".
d = 35 * t1 = 69 * t2
The total time taken for the round trip is t1 + t2.
The average speed is given by:
average speed = d / (t1 + t2) = d / (d/35 + d/69)
So the average speed can be calculated as follows:
average speed = d / (d/35 + d/69) = d * (35 + 69) / (35 * 69) = 104 / 2445 = 8 / 205 km/h
At the instant of the figure below, two particles move in an xy plane. (Let the +z axis extend out of the page.) Particle P1 has mass 7.4 kg and speed v1 = 2.2 m/s, and it is at distance d1 = 1.4 m from point O. Particle P2 has mass 3.1 kg and speed v2 = 4.1 m/s, and it is at distance d2 = 2.8 m from point O.(a) What is the magnitude of the net angular momentum about point O?(b) What is the direction of the net angular momentum about point O?
The net angular momentum about point O is L = 9.51 kg⋅m²/s (magnitude).
What is angular momentum?Angular momentum is a fundamental concept in physics that describes the rotational motion of an object. It is a vector quantity that is defined as the cross product of the position vector and the linear momentum vector of an object with respect to a chosen point or axis. In other words, angular momentum is a measure of how much a rotating object "wants" to keep rotating, and it depends on the mass, speed, and distance of the object from the axis of rotation.
To find the net angular momentum about point O, we need to calculate the angular momentum for each particle and add them together. The direction of the angular momentum is perpendicular to both the position vector and the linear momentum vector, so we can use the right-hand rule to determine the direction.
For particle P₁:
r₁ = 1.4 m (in the radial direction from O)
p₁ = 7.4 kg × 2.2 m/s = 16.28 kg⋅m/s (tangential to the circle)
Using the right-hand rule, we can see that the direction of the angular momentum for particle P₁ is out of the plane of the page (in the +z direction).
For particle P₂:
r₂ = 2.8 m (in the radial direction from O)
p₂ = 3.1 kg × 4.1 m/s = 12.71 kg⋅m/s (tangential to the circle)
Using the right-hand rule, we can see that the direction of the angular momentum for particle P₂ is into the plane of the page (in the -z direction).
Therefore, the net angular momentum about point O is:
L = r₁ × p₁ + r₂ × p₂
L = (1.4 m × 16.28 kg⋅m/s) + (2.8 m × -12.71 kg⋅m/s)
L = 9.51 kg⋅m²/s (magnitude)
(b) The direction of the net angular momentum is perpendicular to the plane formed by the position vectors and the linear momentum vectors. From the calculation above, we can see that the net angular momentum is in the +z direction, which is perpendicular to the xy plane. Therefore, the direction of the net angular momentum is up, out of the plane of the page.
To know more about angular momentum, visit:
https://brainly.com/question/29563080
#SPJ1
A 4.38 kg sphere makes a perfectly inelastic collision with a second sphere that is initially at rest. The composite system moves with a speed equal to one third the original speed of the 4.38 kg sphere. What is the mass of the second sphere?
Answer: The mass of the second sphere is 8.76 kg
Explanation:
The equation for a perfectly inelastic collision follows:
\(m_1u_1+m_2u_2=(m_1+m_2)v\)
where,
\(m_1\text{ and }u_1\) are the mass and initial velocity of first sphere
\(m_2\text{ and }u_2\) are the mass and initial velocity of second sphere
v = final velocity of the system
We are given:
\(m_1=4.38kg\\u_2=0m/s\\v=\frac{u_1}{3}\)
Rearranging the above equation, we get:
\(m_1u_1-m_1v=m_2v\\\\m_2=m_1\frac{u_1-v}{v}\\\\m_2=m_1(\frac{u_1}{v}-1)\)
Plugging values in the above equation, we get:
\(m_2=4.38(\frac{3u_1}{u_1}-1)\\\\m_2=(4.38\times 2)=8.76kg\)
Hence, the mass of the second sphere is 8.76 kg
A bird flies 50 meters in 10 seconds. What is it's speed?
Explanation:
speed=distance/time
=50/10
=5 m/s
Speed is defined as the rate of position in a given amount of time. Hence, the speed covered by the bird is 5m/s.
What is Speed?The speed of an object is defined as the magnitude of change of its position with time or the magnitude of change of its position per unit time. Speed is a scalar quantity because it has only magnitude, not direction.
Speed is expressed as:
Speed= Distance/ Time taken
s=d/t
Where, s= speed
d= distance travelled
t= time taken
Given,
Distance travelled= 50 m
Time take= 10 sec
Speed= 50/10= 5m/s
Thus, Speed is defined as the rate of position in a given amount of time. Hence, the speed covered by the bird is 5m/s.
Learn more about Speed, here:
https://brainly.com/question/6280317
#SPJ2
A 16.2-g bullet with an initial speed of 850 m/s embeds itself in a 40.0-kg block, which is attached to a horizontal spring with a force constant of 1000 N/m. What is the maximum compression of the spring
The maximum compression in the spring is 0.06883 meters.
Given to us,
mass of bullet, \(m= 16.2\ grams\)
velocity of bullet, \(v= 850\ meter/second\)
mass of the block, \(m_2= 40\ kilograms\)
velocity of block, \(v_2= 0\ meter/second\)
spring constant, \(k = 1000\ Newton/meter\)
Combined mass after collision,
\(\begin{aligned}M&= m_1+m_2\\&= 40.0162\ Kilograms\end{aligned}\)
Using the momentum conservation equation, to find out final velocity of the system(bullet and block combined)
\(m_1v_1+m_2v_2= MV\\\)
\(0.0162\times 850+40\times 0 = 40.0162\times V\\V= 0.3441 meter/sec\)
Now using the Conservation of Energy (Kinetic energy of the system will be equal to potential energy in the spring), to find out the displacement of the spring \((x)\)
\(\frac{1}{2}kx^2 = \frac{1}{2}MV^2\\\\\frac{1}{2}\times 1000\times x^2= \frac{1}{2} \times40.0162\times0.3441^2\\\\x^2= 0.004738\\\\x= 0.06883\ meters\)
Hence, the maximum compression in the spring is 0.06883 meters.
To know more visit:
https://brainly.com/question/2001019
Which statement describes the law of conservation of energy?
Answer:
energy cannot be created or destroyed, although it can be changed from one form to another. KE + PE = constant.
Explanation:
please make my answer as brainelist
How do you calculate the total pressure?
Answer:
You could put a pressure stick against the pressure and see the pressure or estimate it from the power its coming out.
Explanation:
what is the electric field
Answer:
"...Physical field that surrounds each electric charge and exerts force on all other charges in the field, either attracting or repelling them..." According to the Wikipedia
Explanation:
"Electric fields originate from electric charges, or from time-varying magnetic fields..." by Wikipedia
Each location in space in which a charge exists in any form can be considered to have an electric field attached to it.
What is electric field?Each location in space has an electric field associated with it when there is charge present in just about any form. E, often known as electric field strength, electric field intensity, or just the electric field, is a mathematical constant that expresses the strength and direction of an electric field.
To predict what would happen on electric charges nearby a specific point, one only needs to be aware of the magnitude of the electromagnetic current there, without having any precise knowledge of what generated the field.
Instead of viewing the electrostatic charge as the effect of 2 electrostatic force coming into contact with each other directly, one charge is thought of as the origin of an electromagnetic current that radiates outward into the surrounding space.
The force acting on a new charge in this area is then thought of as the result of a real contact between the electromagnetic field and the separate charge.
To know more about Electric field:
https://brainly.com/question/15800304
#SPJ2
Hi. If a body with a positive charge touches another with a positive charge, do any of them lose electrons?
The perimeter the sphere is the extreme to which they can go. If ... But what happens if a positively charged object is touched to a neutral object? ... The metal sphere loses electrons.