Answer:
[tex]71.865\ \text{kg}[/tex]
Explanation:
Mass of car = 1400 kg
T = Time period = 0.371 s
k = Spring constant = [tex]1.21\times 10^{5}\ \text{N/m}[/tex]
Time period is given by
[tex]\dfrac{1}{T}=\dfrac{1}{2\pi}\sqrt{\dfrac{k}{m}}\\\Rightarrow m=4\dfrac{kT^2}{4\pi^2}\\\Rightarrow m=\dfrac{4\times 1.21\times 10^5\times (0.371)^2}{4\pi^2}\\\Rightarrow m=1687.46\ \text{kg}[/tex]
The 4 in the numerator is because there are 4 springs
Mass of car with people is 1687.46 kg.
Mass of people
[tex]1687.46-1400=287.46\ \text{kg}[/tex]
Mass of each person
[tex]\dfrac{287.46}{4}=71.865\ \text{kg}[/tex]
Mass of each person is [tex]71.865\ \text{kg}[/tex].
I have a circuit with a 200 V battery which produces 150 W of power. What is the
current in the circuit?
Explanation:
0.75
According to the formula, P=IV
150 = I×200
fast need answers
Find the amount of force if the body has pressure of 178 Pa on 18 mm²
Answer:
Force = 3.204Newton
Explanation:
Given the following data;
Pressure = 178
Area = 18 mm² to meter = 18/1000 = 0.018 m²
To find the force;
Force = pressure * area
Force = 178 * 0.018
Force = 3.204 Newton.
Simplify the expression in part H. Following the five payments, what is the net change in the loan amount from Qulana's viewpoint?
Answer:
I'm not sure but, this video's pretty cool: gestyy.com/eyRkH2
Explanation:
pretty scary gameplay
Answer:
After five monthly payments, Quiana’s loan amount changes by $1,237.15.
Explanation:
Which is a process that involves collecting information and ideas that are supported by belief or opinion?
Which of the following statements about open clusters is true? Group of answer choices All stars in the cluster are approximately the same age. There is an approximately equal number of all types of stars in the cluster. All stars in the cluster are approximately the same color. All stars in the cluster have approximately the same mass. All stars in the cluster will evolve similarly.
Answer:
All stars in the cluster are approximately the same age.
Explanation:
An open cluster refers to a group of around a thousand stars such that these stars are surrounded by the nebula. All-stars in the cluster are approximately the same age. Milky Way consists of more than 1000 such open clusters.
Examples of an open star cluster areas follows:
1. Beehive
2. Hyades
3. Pleiades
What’s velocity and acceleration
Answer:
velocity- the speed of something in a given direction.
Explanation:
acceleration- increase in the rate or speed of something.
For which angle of projection range of projectile is maximum
(a) 40°
(b) 35°
(e) 43°
(d) 48°
Answer:
the correct answer is e
Explanation:
In projectile launching, the range or distance on the x-axis is given by the expression
R = [tex]\frac{v_o^2 \ sin 2 \theta }{g}[/tex]
where v₀ is the initial velocity θ the launch angle.
When analyzing this expression is maximum when the sine function is maximum
sin 2 θ = 1
2θ = sin⁻¹ 1
2 θ = 90
θ = 90/2
θ = 45º
reviewing the answers there are no correct ones since the maximum angle occurs for 45º
if we analyze with these angles we have
θ = 40
sin 2θ = sin 2 40 = 0.98
θ = 35
sin 2 35 = 0.939
θ = 43
sin 2 43 = 0.998
θ = 48
sin 2 48 = 0.994
if we take the written angles the range is maximum for 43º
therefore the correct answer is e
Three charges lie along the x-axis. One positive charge, q1 = 4.80*10^-18 C, is at x = 3.72 m, and another positive charge, q2 = 1.60*10^-19 C, is at the origin.
At what point on the x-axis must a negative charge, q3, be placed so that the resultant force on it is zero?
Answer:
The third charge needs to be placed at [tex]x \approx 0.57\; \rm m[/tex].
Explanation:
Both [tex]q_1[/tex] and [tex]q_2[/tex] would attract [tex]q_3[/tex].
These two electrostatic attractions need to balance one another. Hence, they need to be opposite to one another. Therefore, [tex]q_1[/tex] and [tex]q_2[/tex] need to be on opposite sides of [tex]q_3[/tex]. That is possible only if [tex]q_3 \![/tex] is on the line segment between [tex]q_1 \![/tex] and [tex]q_2 \![/tex].
Assume that [tex]q_3[/tex] is at [tex]x\; \rm m[/tex], where [tex]0 < x < 3.72[/tex] (in other words, [tex]q_3 \![/tex] is on the line segment between [tex]q_1[/tex] and [tex]q_2[/tex], and is [tex]x\; \rm m \![/tex] away from [tex]q_2 \![/tex].)
Let [tex]k[/tex] denote Coulomb's constant.
The magnitude of the electrostatic attraction between [tex]q_1[/tex] and [tex]q_3[/tex] would be:
[tex]\displaystyle \frac{k\cdot q_1 \cdot q_3}{(3.72 - x)^{2}}[/tex].
Similarly, the magnitude of the electrostatic attraction between [tex]q_2[/tex] and [tex]q_3[/tex] would be:
[tex]\displaystyle \frac{k\cdot q_2 \cdot q_3}{x^{2}}[/tex].
The magnitudes of these two electrostatic attractions need to be equal to one another for the resultant electrostatic force on [tex]q_3[/tex] to be [tex]0[/tex]. Equate these two expressions and solve for [tex]x[/tex]:
[tex]\displaystyle \frac{k\cdot q_1 \cdot q_3}{(3.72 - x)^{2}} = \frac{k\cdot q_2 \cdot q_3}{x^{2}}[/tex].
[tex]\displaystyle \frac{q_1}{(3.72 - x)^{2}} = \frac{q_2}{x^{2}}[/tex].
[tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{q_2}{q_1}[/tex].
[tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{q_2}{q_1} = \frac{1}{30}[/tex].
By the assumption that [tex](0 < x < 3.72)[/tex], it should be true that [tex](x > 0)[/tex] and [tex](3.72 - x > 0)[/tex]. Therefore, [tex]\displaystyle \frac{x}{(3.72 - x)} > 0[/tex].
Take the square root of both sides of the equation [tex]\displaystyle \frac{x^2}{(3.72 - x)^{2}} = \frac{1}{30}[/tex].
[tex]\displaystyle \sqrt{\frac{x^2}{(3.72 - x)^{2}}} = \sqrt{\frac{1}{30}}[/tex].
[tex]\displaystyle \frac{x}{3.72 - x} = \frac{1}{\sqrt{30}}[/tex].
[tex]\sqrt{30}\, x = 3.72 - x[/tex].
Therefore:
[tex]\left(1 + \sqrt{30}\right)\, x = 3.72[/tex].
[tex]\displaystyle x = \frac{3.72}{1 + \sqrt{30}} \approx 0.57[/tex].
Hence, [tex]q_3[/tex] should be placed at [tex]x \approx 0.57\; \rm m[/tex].
Who created the periodic table
Answer:
Dimitri Mendeleev
In 1869 Russian chemist Dimitri Mendeleev started the development of the periodic table, arranging chemical elements by atomic mass. He predicted the discovery of other elements, and left spaces open in his periodic table for them.
a ball rolls from rest down an incline with a uniform acceleration of 4m/s². what is it speed after 8 seconds
A crowbar is used to lift a load of 1200 N by placing it at a distance of 25 cm from the fulcrum.
the force required at 60 cm from the fulcrum to balance the load.
Answer:
500 N
Explanation:
From the question,
Sum of clockwise moment = sum of anti clockwise moment.
F×d = F'×d'.................. Equation 1
Where F = Force applied to lift the load, d = distance, F' = Force required, d' = distance of the required force from the fulcrum
Make F' the subject of the equation
F' = F×d/d'.................. Equation 2
Given: F = 1200 N, d = 25 cm, d' = 60cm.
Substitute these values into equation 2
F' = 1200×25/60
F' = 500 N.
Hence the force required to balance the load is 500 N
Which of the following is/are true about magnetic field lines? *
Points away from the south pole and toward the north pole
Uniformly intersect other magnetic field lines
They present the direction and not the force of the magnetic field
They represent the strength of the magnetic field
All of the above
None of the above
Answer:
Explanation:
Interest to
Answer:
Points away from the south pole and toward the north pole
Explanation:
They're magnets fam
A room is 5.0 m long, 4.0 m wide, and 3.0 m high. What is the mass of the air it contains?
Answer:
Here u go
Explanation:
Mass of air in the room m= volume of room×density of air
=(5m×4m×3m)(1.20kgm3)=72kg
Weight of air, W=mg=(72kg)(9.8ms2)=706N.
Answer:
person above is correct, i did the work and got the smae answer
please help me i need help right away!!!!
Answer:
Direct current is the flow of current through a current carrying conductor in the same direction from positive to negative ends. Alternating current is the type of current our mains have where the current is constantly changing direction at a certain rate
Explanation:
Direct current (DC) is a form of electricity that has a unidirectional flow, such that the current path in the current carrying conductor of a circuit is, at all times, in a specific single direction
Alternating Current (AC) is electricity continuously reverses its direction of flow and the magnitude of electricity at a given frequency with time. It is the of current found in electric supply cables that are found in our houses
Therefore, we have;
Direct current is the flow of current through a 1. current carrying conductor in the 2. same direction from positive to negative ends. Alternating current is the type of current our 3. mains have where the current is constantly 4. changing direction at a certain rate
how easily a material stretches when force is applied
Answer:
translucent and transparent
The raising and lifting the ball by kicking is called
A Dodge
B. Scoop
C. Passing
D. Toe
I’ll give brainless plis
The raising and lifting the ball by kicking is a B) Scoop
Solar energy heats the surface of the Earth, including the ground, rocks, and even roadways. As the temperature of these surfaces increases, heat energy is released back into the atmosphere, forming a pocket of warm air. As the warm air pocket rises, it is replaced by cooler air. This process is responsible for many of the weather patterns in our atmosphere and is known as
Answer:
convection
Explanation:
I hope this helps
Which statement accurately describes renewable energy sources?
A. They include fossil fuels and hydroelectric power.
B. They are found in nearly limitless supply.
C. They take millions of years to form and should be used responsibly.
D. They provide the majority of the energy for the United States.
PLS HELP!! I WILL GIVE BRAINLYIST!!
Answer:
A, They include fossil fuels and hydroelectric power.
Explanation:
Hope this helped!!!! :)) <3
Find out about organisms that has been bred by humans. It could be a pet such as a dog. A farm animal such as chicken or a crop, such as corn.
A worker drives a .500kg spike into a rail tie with a 2.50kg sledgehammer. The hammer hits the spike with a speed of 65.0 m/s. If one-third of the hammer's kenetic energy is converted to the internal energy of the hammer and spike, how much does the total internal energy increase?
Answer:
The increase internal energy is 1,760.41[tex]\overline 6[/tex] J
Explanation:
The given parameters of the worker, sledgehammer, and rail line are;
The mass of the spike driven into the rail, m₁ = 0.500 kg
The mass of the sledgehammer, m₂ = 2.50 kg
The speed of the sledgehammer, v = 65.0 m/s
The fraction of the hammers kinetic energy, KE, converted to the internal energy of the hammer and the spike, Δ[tex]E_{internal}[/tex] = 1/3 × KE
Therefore, we have;
The kinetic energy, KE, of the sledgehammer is given by KE = 1/2·m₂·v²
Where;
m₂ = The mass of the sledge hammer = 65.0 m/s
v = The velocity o the sledgehammer
∴ KE = 1/2 × 2.50 kg × (65.0 m/s)² = 5,281.25 J
Therefore;
The increase internal energy, Δ[tex]E_{internal}[/tex] = 1/3 × 5,281.25 J = 1760.41[tex]\overline 6[/tex] J
1.
Two children sit on a uniform seesaw such that a 400. N child is 2.0 m from the support. How
far from the center should the second child of weight 475 N sit in order to balance the system
if the support is at the center of the plank?
Answer:
The other child must sit the same meters as the N child so they an be balanced.
Explanation:
A pitcher requires about 3 seconds to throw a baseball if the ball leaves his hand with with a speed of 30 m/s what is its acceleration
Answer:
Explanation:
300m/s2
determine the indication of voltmeter
Answer:
Hey mate.....
Explanation:
This is ur answer.....
A voltmeter is an instrument used for measuring electric potential difference between two points in an electric circuit. It is connected in parallel. It usually has a high resistance so that it takes negligible current from the circuit.
Hope it helps you,
mark me brainliest pls.....
Follow me! ;)
. Determine the pressure due to water at the
bottom of a tank which is 25cm deep and is
four-fifths full of water,
(Density of water = 1000kgm',g=10ms”).
Explanation:
P= d*g*h
P=1000*10*0.25
P=2500 Pa
help me, what is the shape of solid?
Explanation:
Solids have a definite shape and definite volume.
Answer:
Solids have a definite shape and volume because the particles in them are held together tightly.
Explanation:
Liquids have a definite volume but their particles aren't held together as tightly as solids, so liquids take on the shape of the container they are in. Gases have no definite shape OR volume they just float around because the particles in them are so loose they can take on the shape and volume of any container.
Anyone know the answer
32g of water at 60°C is poured into 60g of cold water at 15°C, which is contained in a
calorimeter of mass 40g, and S.H.C of water is 0.1Jg'K'. Neglecting heat loss show that
the resulting temperature is 29°C.
Explanation:
Let thermal capacity of the vessel be C' J K-1
Heat energy given by hot water = 40 x 4.2 x (60 - 30) = 5040 J
Heat energy taken by cold water = 50 x 4.2 x (30 - 20) = 2100 J
Heat energy taken by vessel = C' x (30 - 20) = 10 C' J
If there is no loss of heat energy,
Heat energy given by hot water = Heat energy taken by cold water and vessel
or 5040 = 2100 + 10 C'
or 10 C' = 2940
or C'= 294 J K-1
Thus, thermal capacity of vessel = 294 J K-1.
HOPE IT HELPS mark me in brainliest answers please please pleaseThe speed limit on an interstate highway is posted at 75mi/h. What is the speed in kilometers per hour? In feet per second?
Answer:
See explanation
Explanation:
The conversion factor from miles per hour to kilometers per hour is 1.609344.
Hence;
To convert 75mi/h to kilometers per hour,
75mi/h * 1.609344 = 120.7 kilometers per hour
b)
To convert 75mi/h to feet per second
Since
1 mile per hour = 1.46667 foot per second
75mi/h = 75 * 1.46667 = 110 feet per second
10. WIMPS and MACHOS cannot be seen or felt.
True
False
Answer:
false I believe is the right answer
Answer:
True
Explanation:
A child pushes a toy truck 2.5 m across a floor with a constant force of 22 N. How much work does the child do on the toy truck?
22/2.5= 8.8 J
22 x 2.5= 55 W
22/2.5= 8.8 W
22 x 2.5= 55 J
Answer:
55j
Explanation:
work= force × distance
We have that When A child pushes a toy truck 2.5 m across a floor with a constant force of 22 N.The work done by the child on the toy truck
W= 55 Joules
22 x 2.5= 55 J
Option D
From the question we are told that
A child pushes a toy truck 2.5 m
A constant force of 22 N.
Generally the equation for the Workdone is mathematically given as
W=f*d
W=22N*2.5
W= 55 Joules
Therefore
When A child pushes a toy truck 2.5 m across a floor with a constant force of 22 N.The work done by the child on the toy truck
W= 55 Joules
22 x 2.5= 55 J
Option D
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