The period of oscillation is approximately 0.998 seconds.
StepsWe can use the following formula to find the period of oscillation:
T = 2π√(m/k)
where T is the period, m is the mass, and k is the spring constant.
Substituting the given values, we get:
T = 2π√(0.504 kg / 20.0 N/m)
T = 2π√(0.0252 kg/m)
T = 2π * 0.1589 s
T = 0.998 s (rounded to three significant figures)
Therefore, the period of oscillation is approximately 0.998 seconds.
The force needed to stretch or compress a spring by a specific amount is known as the spring constant (k), which serves as a gauge for a spring's stiffness. In the SI system, the spring constant is measured in Newtons per meter (N/m).
For example, if a spring requires a force of 10 N to stretch it by 0.5 meters, then the spring constant is:
k = F/x = 10 N / 0.5 m = 20 N/m
In many computations involving elastic systems, such as the oscillation of a mass on a spring or the compression of a spring in a mechanical system, the spring constant, a crucial spring parameter, is taken into account.
learn more about mass here
https://brainly.com/question/19385703
#SPJ1
how much force is needed to accelerate a box of mass 25kg at 4 m/s2
a)60n
b)50n
c)15n
d)100n
Answer:
D
Explanation:
Force (N) = mass (kg) × acceleration (m/s²) is the famous F=ma
Force = 25 * 4 in this case
Force = 100 N
Temperature changes can affect substances in different ways. Which of these actions will form a new substance with different properties?
melting ice into water
freezing juice into ice pops
baking cake batter to make a cake
heating chocolate chips to form a syrup
Answer:
a
Explanation:
A 15 kg box is pushed with a force of 35 N in the +x direction, and the box accelerates to the right. It does not accelerate up or down
The box accelerates to the right due to the applied force of 35 N in the +x direction.
Newton's second law states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. In this case, the net force acting on the box is 35 N in the +x direction, and its mass is 15 kg. Therefore, we can calculate the acceleration using the formula:
acceleration = net force / mass
acceleration = 35 N / 15 kg = 2.33 m/s² (rounded to two decimal places)
Since the box is not accelerating up or down, we can conclude that the force applied is only causing the box to accelerate in the horizontal direction.
Other forces such as gravity and friction are not considered in this scenario. Thus, the 15 kg box will experience an acceleration of approximately 2.33 m/s² in the +x direction due to the applied force of 35 N.
for such more questions on force
https://brainly.com/question/12785175
#SPJ8
A pipe of constant radius carried water at 3.25 m/s. Please answer in PA.
Pipe of constant radius, we can use Bernoulli's equation, which relates the pressure, velocity, and height of a fluid at two points in a flow system.the pressure of water in the pipe is approximately 105,142 Pa.
What is a system?System refers to a collection of related components or parts that work together to achieve a specific goal or purpose. The concept of a system can be applied to a wide range of fields and disciplines, including science, engineering, economics, and social sciences.
In science, a system is often defined as a portion of the universe that is being studied or analyzed. This can include anything from a single atom or molecule to an entire ecosystem or planet. By defining the boundaries of a system, scientists can focus their attention on understanding the interactions and relationships between the various components within that system.
In engineering, a system refers to a collection of components that are designed to work together to perform a specific function or task. This can include everything from simple mechanical systems like gears and pulleys to complex electrical or computer systems.
To know more about system visit :
https://brainly.com/question/19368267
#SPJ1
A flat puck (mass M) is rotated in a circle on a frictionless air-hockey tabletop, and is held in this orbit by a light cord connected to a dangling block (mass m) through a central hole in the table as shown in the figure. Start by showing the free-body diagrams and force equations for each mass, and then derive an equation for the tangential speed of the puck. This will be an algebraic expression that includes the variables mentioned above.
The dangling mass will not move and the puck will keep rotating in its orbit, Therefore, V = √(mgR/M) will be an algebraic expression that includes the variables mentioned above.
What is centripetal force?A centripetal force that causes a body to travel along a curved path. The centripetal force always acts orthogonally to the motion of the body and towards the fixed point of the path's instantaneous centre of curvature. Isaac Newton described it as "a force by which bodies are drawn or impelled, or in any way tend, towards a point as to a centre". Gravity is the centripetal force that causes astronomical orbits, according to Newtonian mechanics theory.
A common example of centripetal force is when a body moves at a constant speed along a circular path. The centripetal force is directed at right angles to the motion as well as along the radius of the circular path towards the centre.
Fc = mg
Now, centripetal force on the puck is equal to the mass of the puck times the centripetal acceleration, or
Fc = Mac
centripetal acceleration is related to the tangential velocity of the puck as
ac = V²/R
where R is the radius of the orbit. Then we have
Fc = M ac =M ω² R = M V² / R
and, thus
M V² / R = mg
and, solving for V, we get
V = √(mgR/M)
Learn more about centripetal force
https://brainly.com/question/14249440
#SPJ1
A toy truck of mass 3 kg and speed, v, approaching a ramp of height 5 m. If the toy truck makes it to the top of the ramp, what is the value of v? (Hint: Law of conservation of energy)
Given,
A toy truck of mass 3 kg and speed, v, approaching a ramp of height 5 m. If the toy truck makes it to the top of the ramp.
To find: what is the value of v?
Solution:
In the bottom of the ramp, potential energy will be zero because there will be no height.
And the kinematic energy will be maximum.
According to the conservation of energy.
At the top of the ramp, the speed will be maximum. So the kinetic energy will be equal to the potential energy.
Hence.
\(\begin{gathered} \frac{1}{2}mv^2=mgh \\ \frac{1}{2}mv^2=0 \\ v=0\text{ m/s} \\ \end{gathered}\)Thus, the value of v is 0 m/s.
A ball is suspended from two cords as illustrated belowA) determine the magnitude of the tension in the angled cordB) what is the magnitude of the tension in the vertical cord attached to the ballC) calculate the mass of ball
a)
Since the ball is in equilibrium, the sum of horizontal forces are equal zero.
We can decompose the tension in the angled cord in horizontal and vertical components, and then calculate the sum of horizontal forces in the diagram:
\(\begin{gathered} T_{2x}=T_2\cdot\cos (57\degree) \\ T_{2x}=T_2\cdot0.545 \\ \\ T=T_{2x} \\ 250=T_2\cdot0.545 \\ T_2=\frac{250}{0.545} \\ T_2=458.7\text{ N} \end{gathered}\)So the tension in the angled cord is 458.7 N
b)
To find the tension in the vertical cord, we can find the vertical component of the tension in the angled cord, since these two forces are equal because the ball is at equilibrium:
\(\begin{gathered} T_{2y}=T_2\cdot\sin (57\degree) \\ T_{2y}=458.7\cdot0.839 \\ T_{2y}=384.85\text{ N} \\ \\ W=T_{2y} \\ W=384.85\text{ N} \end{gathered}\)So the tension in the vertical cord is 384.85 N
c)
To calculate the mass of the ball, let's use the weight formula:
\(\begin{gathered} W=m\cdot g \\ 384.85=m\cdot9.8 \\ m=\frac{384.85}{9.8} \\ m=39.27\text{ kg} \end{gathered}\)So the mass of the ball is 39.27 kg
Select the correct arrows. Identify the arrows that show the correct direction of heat transfer.
Answer:
Explanation:I Did the test and it said this was the right answer so it probally is
Answer:
That's the question that I wanted to ask!!
Explanation:
I’ll give brainliest
The waveform of a signal is the shape of its graph as a function of time in the domains of electronics, acoustics, and allied sciences, regardless of its time and magnitude scales or any shift in time.
Thus, Waveforms with periodic variations are those that recur consistently at set intervals.
The phrase is typically used in electronics to describe periodically changing voltages, currents, or electromagnetic fields. It is typically used in acoustics to describe constant periodic sounds caused by changes in air pressure or other media.
In these situations, the signal's frequency, amplitude, or phase shift have no bearing on the waveform, which is a characteristic. Additionally, non-periodic signals like chirps and pulses can be referred to by this name.
Thus, The waveform of a signal is the shape of its graph as a function of time in the domains of electronics, acoustics, and allied sciences, regardless of its time and magnitude scales or any shift in time.
Learn more about Waveform, refer to the link:
https://brainly.com/question/31528930
#SPJ1
A block m1 rests on a frictionless surface. A second block m2 sits on top of the first block. Here m1 = m2 = m. A horizontal force F is applied to the bottom block to pull it to the right as shown below. Assume that the blocks move together across the surface (block m2 does not slide off of block m1).
A block resting on a frictionless surface experiences a horizontal force that pulls another block atop it to the right, where the two blocks travel in tandem without slamming.
How much static friction is there between the upper and bottom blocks?Response and justification The higher block's acceleration is also equal to 3 m/s2 because there is no relative motion between the upper and lower blocks.
What is the static friction coefficient between block A and a flat floor?Block A and a level floor have a static friction coefficient of 0.45, while Block B has a static friction coefficient of 0.30. Each brick weighs 2.0 kg.
To know more about force visit:-
https://brainly.com/question/13191643
#SPJ1
How a Motor Works
Figure 5
A motor is made of several basic parts, each of which
is described below. Study the information about each part. Then,
write the number of each description in the appropriate circle on
the image.
Answer:
hi \( \) \( \)
A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm,find the emf of the cell.
A cell of inter resistance of 0.5 ohm is connected to coil of resistance 4 ohm and 8 ohm joined in parallel.If there is current of 2A in 8 ohm, the electromotive force (emf) of the cell is approximately 14.5 volts.
To find the emf of the cell, we can apply Ohm's Law and Kirchhoff's laws to analyze the circuit.
Given:
Resistance of the coil, R1 = 4 ohm
Resistance of the other resistor, R2 = 8 ohm
Current passing through the 8-ohm resistor, I = 2A
First, let's analyze the parallel combination of the 4-ohm and 8-ohm resistors.
The total resistance of two resistors in parallel can be calculated using the formula:
1/Rp = 1/R1 + 1/R2
Substituting the given values, we have:
1/Rp = 1/4 + 1/8
1/Rp = 2/8 + 1/8
1/Rp = 3/8
Rp = 8/3 ohm
Now, let's consider the total resistance in the circuit, which includes the internal resistance of the cell (0.5 ohm) and the parallel combination of the resistors (8/3 ohm).
R_total = R_internal + Rp
R_total = 0.5 + 8/3
R_total = 1.833 ohm
Now, we can find the emf of the cell using Ohm's Law:
emf = I * R_total
emf = 2 * 1.833
emf ≈ 3.667 volts
Therefore, the emf of the cell is approximately 3.667 volts.
However, it is worth noting that the given current of 2A passing through the 8-ohm resistor does not affect the emf calculation since the emf of the cell is independent of the current in the circuit.
For more such questions on emf, click on:
https://brainly.com/question/13744192
#SPJ8
Eustace drives 20.0 km to the east when he realizes he left his wallet at home. He drives 20.0 km west to his house, takes 5.0 min to find his wal- let, then leaves again. Eustace is 40.0 km east of his house exactly 60.0 min after he left the first time. a. What is his average velocity? b. What is his average speed?
a. His average velocity would be 1.11m/s2
b. His average speed would be 2.05m/s
What is Velocity?Velocity of a particle is its speed and the direction in which it is moving.
It can also be described as the instantaneous rate of change of the particle's distance traveled, and the direction in which the distance is changing. The SI units of the speed is the metre per second squared (m/s2). It is a vector quantity, hence is has magnitude and direction.
What is Speed?Speed is a scalar quantity which tells how fast an object is moving, regardless of its direction. The SI units of the speed is the metre per second (m/s). It is a scalar quantity and has only magnitude with no direction.
From the question;
Velocity = displacement/time
displacement = 40 km (4000m)
time = 60 mins (3600s)
Velocity = 4000/3600
Velocity = 1.11m/s2
Speed = total distance covered/total time
Speed = (40km + 20km + 20km) / (60mins + 5 mins)
Speed = (4000m + 2000m + 2000m) / (65mins)
Speed = (8000m/3900s)
Speed = 2.05m/s
Hence, his average velocity is 1.11m/s2 and speed 2.05m/s.
Learn more about velocity and speed:https://brainly.com/question/13943409
#SPJ1
Please HElp!!
Name five conductors and insulators
Answer:
Conductors- copper, aluminum, gold, and silver.
Insulators- glass, air, plastic, rubber, and wood.
Explanation:
Answer: 5 conductors are copper, aluminum, gold, iron, and silver and 5 insulators are glass, air, plastic, rubber, and wood.
5. A basketball is passed 15 m due West, then 20 m north. What is the total distance the
basketball travelled?
Answer:
35 meters
20+15=35
Calculate the absolute pressure at an ocean depth of 1.0 x 10³ m. Assume that the density of the water is 1.025 x 10³ kg/m³ and that Po = 1.01 x 10^5 Pa.
The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.
What is hydrostatic pressure?Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.
The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:
P = ρgh + Po
where:
P is the absolute pressure at the given depth
ρ is the density of the water
g is the acceleration due to gravity (assumed to be 9.81 m/s²)
h is the depth of the ocean
Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)
Substituting the given values, we get:
P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa
P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa
P = 1.002 x 10^8 Pa.
To know more about Hydrostatic pressure, visit:
https://brainly.com/question/28206120
#SPJ1
a 1000 kg car traveling at 70 m/s takes 3 m to stop under full braking. the same car under similar road conditions, traveling at 140 m/ s takes how long to stop under full braking?
Answer:
0.21 SECONDS
Explanation:
THE CAR TRAVELS AT A SPEED OF 140M/S AND A DISTANCE AS THE PREVIOUS = 3M THEREFOR S=D/T, T=D/S= 3/140= 0.12 SEC
What is the classification of the reaction shown in the equation below?
Fe + O2 → FeO2
A
decomposition
B
double replacement
C
single replacement
D
synthesis
Answer:
d
Explanation:
because is a reducing agent, O 2 is an oxidizing agent.
How the government can ensure basic human dignity is maintained in relation to safe and healthy living
To ensure basic human dignity in relation to safe and healthy living, governments can implement various measures such as accessible healthcare, adequate housing, and sanitation and clean water.
How government can ensure basic human dignity is maintainedGovernments should place a high priority on ensuring that everyone has access to healthcare services, enabling them to receive the essential medical care without suffering financial difficulty. This entails providing access to necessary pharmaceuticals, cheap healthcare, and a strong healthcare system.
All citizens should have access to affordable and good housing, according to governments. Policies may include restrictions on rental costs, programs to expand the supply of affordable housing, and efforts to combat homelessness. Basic hygienic and safety criteria should be met by housing.
Governments must make sure that everyone has access to clean, safe drinking water and adequate sanitary facilities. The spread of diseases and the maintenance of sanitary living circumstances can be aided by investments in sewage systems, water treatment facilities, and public hygiene education.
Learn more on healthy living here https://brainly.com/question/27440736
#SPJ1
the greatest amount o. lolololoms?
Answer:
If you are asking for the answer with the highest molar mass, then the answer is B.
B. Fe₂O₃
A basketball player jumps straight up for a ball. To do this he lowers his body 0.330m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.940m above the floor
a) Velocity of basketball player when he leaves the floor is 6.64 m/s ; b) Acceleration while basketball player is straightening his legs is 73.8 m/s² ; c) Basketball player exerts a force of 8118 N on the floor to jump up for the ball.
What is meant by velocity and acceleration?Acceleration is the rate of change of velocity, while velocity is the rate of change of displacement.
(a) m g h = (1/2)mv²
m is player's mass, g is acceleration due to gravity, h is initial height, v is velocity when the player leaves the floor.
(110 kg)(9.81 m/s²)(0.300 m) = (1/2)(110 kg)(v²) + (110 kg)(9.81 m/s²)(0.900 m)
v = 6.64 m/s
So, velocity of basketball player when he leaves the floor is 6.64 m/s.
(b) v² = u² + 2as
u is initial velocity (zero in this case), a is acceleration, s is distance traveled, and v is the final velocity (6.64 m/s in this case).
(6.64 m/s)² = 2a(0.300 m)
a = 73.8 m/s²
Therefore, acceleration while the basketball player is straightening his legs is 73.8 m/s²
(c) F = ma
F : force, m is the player's mass, and a is the acceleration.
F = (110 kg)(73.8 m/s²)
F = 8118 N
Therefore, basketball player exerts a force of 8118 N on the floor to jump up for the ball.
To know more about acceleration, refer
https://brainly.com/question/460763
#SPJ1
Note: The question given on the portal is incomplete. Here is the complete question.
Question: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.300 m and then accelerates through this distance by forcefully straightening his legs. This player leaves the floor with a vertical velocity sufficient to carry him 0.900 m above the floor. (a) Calculate his velocity when he leaves the floor. (b) Calculate his acceleration while he is straightening his legs. He goes from zero to the velocity found in part (a) in a distance of 0.300 m. (c) Calculate the force he exerts on the floor to do this, given that his mass is 110 kg.
8) 1. Figure 2a shows the apparatus used to generate the shadow shown in Figure 2b. torch cardboard opaque object Figure 2a screen umbra scroch Figure 26 When the cardboard is removed, which of the statements about the new shadow is true? A. The shadow stays the same. B. The umbra gets bigger. C. The shadow is now called a penumbra. D. The shadow has two regions called an umbra and a penumbra.
When the cardboard is removed, the shadow will have two regions called an umbra and a penumbra. Therefore, the correct answer is D.
What is the umbra and a penumbra?The umbra is the darkest part of the shadow and is located right behind the object. It is the region where no direct light can reach because the object completely blocks the light source. In the umbra, the object appears completely black.
The penumbra, on the other hand, is a lighter region around the umbra where some of the light from the source is blocked but not all of it. The penumbra is the region where the object casts only partial shadow, and it is characterized by a gradual reduction in light intensity. The penumbra is not as dark as the umbra and is visible on both sides of the umbra.
So, to summarize, the umbra is the region of complete shadow where no direct light can reach, and the penumbra is the region where only partial shadow is cast and where the light intensity gradually reduces.
Read more on opaque objects here:https://brainly.com/question/4100287
#SPJ1
A projectile is fired straight up with an initial velocity of 40.0 m/s . Approximately how high will the projectile ?
Answer:
it depends on the wind and any other conditions but if you have a controlled environment it should take 1 second to get 40 meters but it could go higher in which it could take about 5 seconds to go 200 meters
Explanation:
hope it helped
:)
what force cause centepetal acceleration of a car make a turn on a flat road
Answer: friction between the tires and the road.
Explanation: A minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway.
please help ASAP! I will give brainiest
Highlight the either increasing or decreasing to complete the sentence to demonstrate the relationship between the variables and the reaction rate.
(Increasing/Decreasing) the temperature, increases the reaction rate. (Increasing/Decreasing) the surface area, increases the reaction rate. (Increasing/Decreasing) the concentration, increases the reaction rate.
Answer:
1. Increasing
2. Decreasing
3. Increasing
Explanation:
An object at rest is suddenly broken apart into two fragments by an explosion. The first fragment (with mass m1) acquires twice the kinetic energy of the second one (with mass m2).
What is the ratio of their masses?
Answer:
m1 ÷ m2 = 1 ÷ 2
Explanation:
The ratio of their masses is as follows:
As it is given that the mass m1 is twice of mass m2
So the equation could be written as
\(\frac{1}{2} m1 v1 v1 = 2 \times \frac{1}{2} m2 v2 v2\\\\\frac{m1}{m2} = \frac{2 v2 v2}{v1 v1} ..........(1)\)
Here we used the conservation of momentum
Prior to the explosion, the object is in rest so the momentum would be zero but after the explosion the total momentum would be m1v1 + m2v2, that is also zero.
So,
\(m1 v1 + m2 v2 = 0\\\\m1 v1 = - m2 v2\\\\\frac{m1}{m2} = \frac{- v2}{v1}\)
Now squaring to the both sides
m1 m1 ÷ (m2 m2) = v2 v2 ÷ (v1 v1) ........(2 )
Solved both the equations
After solving it, the ratio is
m1 ÷ m2 = 1 ÷ 2
I NEED HELP Quick PLEASE AND THANK YOU !!!
1. Which distance is the greatest?
O 7000 meters
O 99.99 meters
O 4.5 x 10³ meters
O 9.0 x 10² meters
Answer:
7000 meters
Explanation:
obviously 99.99 is less than 7000
10 cubed is 10 × 10 × 10, 1000, × 4.5 is 4500, which is less than 7000
10 squared is 100, which × 9 is only 900, which is also less than 7000
have a good day
How have physicists played a role in history?
A. Physics has changed the course of the world.
B. History books are written by physicists.
C. Physicists have controlled most governments.
D. Most decisions about wars are made by physicists.
Answer:
A. Physics has changed the course of the world.
Explanation:
What are the four most important characteristics of an electric circuit?
Answer:
an energy source (AC or DC), a conductor (wire), an electrical load (device), and at least one controller (switch).
Explanation:
mark as brainliest please
The 4 most important characteristics of an electric circuit are discussed below.
We have a electric circuit.
We have to mention its 4 important characteristics.
What is an Electric circuit ?Electrical circuit is a closed path which acts as a medium for the flow of current when there is a potential difference between two points in the path.
According to the question -
The important characteristics of electric circuit are -
It must contain at least one source of energy.It is a combination of both active and passive elements.It always exist in the form of closed loop for regular flow of current.The flow of electrons take place from negative terminal to positive terminalHence, the 4 most important characteristics of an electric circuit are mentioned above.
To solve more questions on Electric Circuits, visit the link below-
https://brainly.com/question/18355382
#SPJ2