A car comes to a stop six seconds after the driver applies the brakes. While the brakes are on, the following velocities are recorded:
Time since brakes applied (sec) 0 2 4 6
Velocity (ft/s) 87 44 16 0
Give lower and upper estimates (using all of the available data) for the distance the car traveled after the brakes were applied.
Answer:
Explanation:
deceleration during first 2 s = (87 - 44) / 2 =21.5 m /s²
deceleration during next 2 s = (44 - 16) / 2 =14 m /s²
deceleration during last 2 s = (16 - 0) / 2 = 8 m /s²
If we assume the acceleration to be uniform during 3 readings
distance travelled during first 2 s
v² - u² = 2 a s
87² - 44² = 2 x 21.5 x s
s = 7569 - 1936 / 43
= 176 m
distance travelled during next 2 s
44² - 16² = 2 x 14 x s
s = 1936 - 256 / 28
= 60 m
distance travelled during last 2 s
16² - 0² = 2 x 8 x s
s = 256 / 16
= 16 m
Total distance travelled = 176 + 60 + 16 = 252 m
If we assume the acceleration as non- uniform , we first calculate average acceleration as follows .
average acceleration = (87 - 0)/ 6 = 14.5 m /s²
v² - u² = 2 a s
87² - 0² = 2 x 14.5 x s
s = 7569 / 29
= 261 m
Hence lower estimate of distance travelled = 252 m ; upper estimate of distance travelled = 261 m .
if the reading of a mercury barometer is 75.58cm at the base of a mountain and 66.37cm at the summit,what is the height of the mountain? (density of mercury= 13600kg/m³, average density of air=1.25kg/m³
Answer:
Explanation:
What are the benefits of 3D design and 3D printing software?
The height of the mountain is 1002.048 m.
What is pressure?The perpendicular force per unit area, or the stress at a point within a confined fluid, is referred to as pressure in the physical sciences.
Atmospheric pressure is the force of the atmosphere pressing down on each square meter of Earth's surface. Pascals are used to express pressure in SI units; one pascal is equivalent to one newton per square meter.
Given parameters:
at the base of a mountain, the reading of a mercury barometer is = 75.58cm = 0.7558 m.
at the summit of a mountain, the reading of a mercury barometer is = 66.37cm = 0.6637 m.
Let the height of the mountain = h.
Then,
h × density of air × g = ( 0.7558 - 0.6637) m × density of mercury × g
⇒ h × 1.25kg/m³ = 0.0921 m × 13600kg/m³
⇒ h = 1002.048 m.
Hence, the height of the mountain is 1002.048 m.
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Give five reasons for liming pond
A 100-turn, 7.0-cm-diameter coil is made of 0.50-mm-diameter copper wire. A magnetic field is perpendicular to the coil. At what rate must B increase to induce a 2.0 A current in the coil?
Answer:
The rate of increase of the magnetic field is 0.0311 T/s.
Explanation:
Given;
number of turns of the coil, N = 100 turn
diameter of the coil, D = 7.0 cm = 0.07 m
diameter of the copper wire, d = 0.5 mm = 0.5 x 10⁻³ m
induced current, I = 2.0 A
The induced emf is calculated as;
[tex]emf = IR = NA\frac{dB}{dt}\\\\\frac{dB}{dt} = \frac{IR}{NA} \\\\Where; A \ is \ area \ of \ the \ coil = \frac{\pi D^2}{4}\\\\[/tex]
[tex]\frac{dB}{dt}[/tex] is the rate of increase of the magnetic field, B
R is the resistance of the copper wire
[tex]R = \frac{\rho L}{A} = \frac{\rho D}{A}= \frac{\rho D}{\frac{\pi d^2}{4} }[/tex]
Where; ρ is the resistivity of copper wire = 1.68 x 10⁻⁸ Ωm
[tex]R = \frac{(1.68 \times 10^{-8})(0.07)}{\frac{\pi (0.5\times 10^{-3})^2}{4} } \\\\R = 5.989 \times 10^{-3} \ ohms[/tex]
[tex]\frac{dB}{dt} = \frac{(2)(5.989 \times 10^{-3})}{(100)(\frac{\pi \times (0.07)^2}{4} )} \\\\\frac{dB}{dt} =0.0311 \ T/s[/tex]
Therefore, the rate of increase of the magnetic field is 0.0311 T/s.
How much stronger is the electric force between two
protons than the gravitational force between them?
Answer:
Explanation:
The electric force between two protons is 10^36 times stronger than the gravitational force between them.
Answer:
Electric force is 1.23 x 10³⁶ times stronger than gravitational force.
Explanation:
First, we will calculate the gravitational force using Newton's Law:
[tex]F_G = \frac{Gm^2}{r^2}\\\\[/tex]
where,
F_G = Gravitational Force = ?
G = Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg²
m = mass of proton = 1.67 x 10⁻²⁷ kg
r = distance between protons
Therefore,
[tex]F_G = \frac{(6.67\ x\ 10^{-11}\ Nm^2/kg^2)(1.67\ x\ 10^{-27}\ kg)^2}{r^2}\\\\F_G = \frac{1.86\ x\ 10^{-64}\ Nm^2}{r^2}\\\\[/tex]
Now, we will calculate the electrostatic force using Colomb's Law:
[tex]F_E = \frac{kq^2}{r^2}\\\\[/tex]
where,
F_E = Electrostatic Force = ?
k = Colomb's Constant = 9 x 10⁹ Nm²/C²
q = charge of proton = 1.6 x 10⁻¹⁹ C
r = distance between protons
Therefore,
[tex]F_E = \frac{(9\ x\ 10^{9}\ Nm^2/kg^2)(1.6\ x\ 10^{-19}\ C)^2}{r^2}\\\\F_E = \frac{2.3\ x\ 10^{-28}\ Nm^2}{r^2}\\\\[/tex]
Dividing both forces:
[tex]\frac{F_E}{F_G} = \frac{2.3\ x\ 10^{-28}}{1.86\ x\ 10^{-64}}[/tex]
F_E = 1.23 x 10³⁶ F_G
Therefore, electric force is 1.23 x 10³⁶ times stronger than gravitational force.
A 1.55 kg frictionless block is attached to an ideal spring with force constant 340 N/m . Initially the spring is neither stretched nor compressed, but the block is moving in the negative direction at 14.0 m/s.
A.) Find the amplitude of the motion.
B.) Find the maximum acceleration of the block.
C.) Find the maximum force the spring exerts on the block.
Answer:
Explanation:
Let amplitude be A . At displacement A , velocity will be zero , so
1/2 k A² = 1/2 m v²
340 A² = 1.55 x 14²
A = .9452 m
= 94.52 cm
B ) angular frequency of oscillation ω = √ ( k / m )
= √ ( 340 / 1.55 )
ω = 14.81 radian /s
maximum acceleration = ω²A
= 14.81² x 0.9452
= 207.32 m/s²
C) Maximum force = mass x maximum acceleration
= 1.55 x 207.32
= 321.36 N .
help PLEASEEEEEEEEEEE
What would happen if I removed the battery from the circuit?
Answer:
The current would stop
Explanation:
Electric currents are interesting because they carry little to no momentum. As soon as you remove a power source, the whole current halts.
We know the mass and luminosity of the star. We also know the mass of the spacecraft and the area of its stellar sail. We must find the net force exerted on the spacecraft, as well as the direction of its acceleration. We are asked to find both the net force exerted on the spacecraft and the direction of the acceleration. Which principle is best used to find the direction of the acceleration once the net force has been found
Answer:
Newton's principle of force, the variation of the momentum and the acceleration have the same direction
Explanation:
To find the force exerted by the star on the sail of the ship, the expression of the momentum of the radiation is used, which in the case of a total reflection
p = [tex]\frac{2U}{c}[/tex]
where p is the momentum and U the incident energy and c the speed of light.
The strength I could get from
F = [tex]\frac{dp}{dt}[/tex]
the direction of the acceleration is the direction of the momentum, therefore the principle to find the acceleration of is Newton's principle of force, the variation of the momentum and the acceleration have the same direction.
A 9-V battery is hooked up to a 330-Ω resistor. What current is flowing through this circuit?
Group of answer choices
0.027 A
2970 A
36.6 A
6 A
Answer:
option a 0.027 A
Explanation:
I = V/R
-> 9/330 = 0.027
which is a non-renewable resource used to heat homes a A. solar energy
B.natural gas
C. WINDS
D.woods
Answer:
B. natural gas
Answer:
B natural gas
Explanation:
natural gas is used to make electricity
2. A piece of alloy has a measured mass of 86g in air and 73 g when immersed in water. Find its
(a) volume
(b) density
Answer:
Hello There!!
Explanation:
a)The volume is 13 cc.(i think)
b)The density is 86/13 = 6.62.
hope this helps,have a great day!!
~Pinky~
please help meeeee :((((((((((
Answer:
hello me
Explanation:
help me thisanswer
Will award brainliest and upvote if you can help answer!
Answer:
Omqnp
Explanation:
I have done this before and got it correct
Sodium and ice a physical or chemical reaction
Answer:
physical change uwu owo hope this helps you uwu silly goose
A heat engine operating between a pair of hot and cold reservoirs with respective temperatures of 500 K and 200 K will have what maximum efficiency?
A) 60%
B) 50%
C) 40%
D) 30%
Answer:
The maximum efficiency of the heat engine is 60%.
Explanation:
Given that,
The temperature of hot reservoir = 500 K
The temperature of cold reservoir = 200 K
We need to find the maximum efficiency. The formula for the efficiency of heat engine is given by :
[tex]\eta=1-\dfrac{T_c}{T_H}[/tex]
Put all the values,
[tex]\eta=1-\dfrac{200}{500}\\\\\eta=0.6[/tex]
or
[tex]\eta=60\%[/tex]
So, the maximum efficiency of the heat engine is 60%.
A house is advertised as having 1460 square feet under roof. What is the area of this house in square meters?
Answer: 131.92 m
Explanation: The problem give above is a conversion problem. To convert any measurement from one unit to another, we need a relation for the original units to that of the desired unit. This relation is called the conversion factor. It is used by multiplying or dividing the factor depending on what is the unit of the original measurement. For this case, we need to convert from ft^2 to m^2. The conversion factor would be 1 foot is equal to 0.3048 m. So, we would be getting the square of the factor and then multiply to the original value.
1420 ft^2 ( 0.3048 m / 1 ft)^2 = 131.92 m
The formula length x width x height is used to calculate the volume of a type of
Answer: 3 dimensional solid like cubes and parallelepipeds
Explanation:
Alexis is in her Toyota Camry and trying to make a turn off an expressway at 19.0 m/s. The turning radius of the level curve is 35.0 m. Her car has a mass of 1240 kg. Determine the acceleration, net force and minimum value of the coefficient of friction which is required to keep the car on the road.
Answer:
The solution is given below:
Explanation:
The computation is shown below:
The acceleration is
= v^2 ÷ r
= 19^2 ÷ 35 m
= 10.3 m/s^2
According to the newton second law
F = mac
= 1240 kg (10.3 m/s^2)
= 12772 N
And,
frictional force (f) = \mu N
f = \mu (mg) = mac
\mu = ac ÷ g
= 10.3 m/s^2 ÷ 9.80 m/s^2
= 1.0510
In these ways it can be determined
describe los ejercicios que caliente las extremidades superiores del cuerpo
Answer:
todas las cosas que la cuerda de salto hará
Explanation:
1. Mueva suavemente las muñecas y prepárese para levantar la parte superior del cuerpo.
2.Activa tus hombros sin presionarlos.
3. Calienta todo tu cuerpo elevando tu frecuencia cardíaca y cebando para la coordinación de todo el cuerpo que necesitas para el entrenamiento de la parte superior del cuerpo.
A square loop of wire with a small resistance is moved with constant speed from a field free region into a region of uniform B field (B is constant in time) and then back into a field free region to the left. The self inductance of the loop is negligible. True While the loop is entirely in the field, the emf in the loop is zero. False When entering the field the coil experiences a magnetic force to the left. False When leaving the field the coil experiences a magnetic force to the right. True Upon entering the field, a clockwise current flows in the loop.
Answer:
False, True, False, True
Explanation:
Given a square loop of a wire having a small resistance and moving with a constant sped from the free region to a region having a region having a uniform field B. It is then moved back to the left in the free field region.
For the following statements :
While the loop is entirely in the field, the emf in the loop is zero. -- TRUE
The emf of the coil is zero when the coil moves into the field from a free region field to a uniform field region field.
When entering the field the coil experiences a magnetic force to the left ---- FALSE
According to the Lenz law, a loop entering the field opposes it and moves towards the right.
When leaving the field the coil experiences a magnetic force to the right. --- TRUE
Upon entering the field, a clockwise current flows in the loop. ---- TRUE
In the field the coil or the loop tries to oppose the magnetic field and forces the current in the loop to move in a clockwise direction.
If you rub a balloon on a sweater, which will have more electrons?
The chart shows the masses of selected particles.
Particle
Mass
2350
137 9 u
6
92
138
Ba
K:
on
94.9u
1.0 u
In the equation u + Ön – 133Ba + K+ + 36n+E , the energy E is equivalent to a mass of
1.
0.2 u
2.
2.0 u
3.
2.2 u
4.
0.0 u
Answer: 0.2 u
Explanation:
The atomic mass of nuclide is written as a superscript. On the left (reactants) aide of the nuclear equation shown, the total atomic mass is 235.0 + 1.0 u = 236 u. On the right (products) side reaction, the total atomic mass is 137.9u + 94.9u + 3 x 1.0u = 235.8 u. Therefore, 0.2 mass units must have been converted into energy.
The block A and attached rod have a combined mass of 50 kg and are confined to move along the guide under the action of the 796-N applied force. The uniform horizontal rod has a mass of 15 kg and is welded to the block at B. Friction in the guide is negligible.
Required:
Compute the bending moment M exerted by the weld on the rod at B. The bending moment is positive if counterclockwise, negative if clockwise.
Answer:
The bending moment is 459.16 N.m
Explanation:
From the given information;
Let's assume that the angle is 66°
Then, the free body diagram is draw and attached in the file below.
Now, the calculation of the acceleration from the first part of the free body diagram is:
[tex]\sum F_x = ma_x \\ \\ 796 - 50(9.81) sin 66=50a \\ \\ 796 - 448.094 = 50 a \\ \\ a = \dfrac{347.906}{50} \\ \\ a = 6.96 \ m/s^2[/tex]
Bending moment M:
From the second part of the diagram:
[tex]\sum M_B = mad \\ \\ M - (15 \times 9.81) (1.5) = (25 \times 6.96)(1.5 sin 66) \\ \\ M - 220.725 = 238.435 \\ \\ M = 238.435 + 220.725 \\ \\ \mathbf{M = 459.16 \ N.m}[/tex]
A truck contains both hydraulic brakes (reliability 0.96) and mechanical brakes (reliability 0.99). What is the probability of stopping the truck (i) while moving at a high speed, assuming both systems must work to avoid hitting a vehicle stalled in the roadway, and (ii) while moving at a low speed, assuming either system will stop the truck in time if they function properly
Answer:
i) 0.9504
ii) 0.0452
Explanation:
Given data: reliability of hydraulic brakes= 0.96
reliability of mechanical brakes = 0.99
So the probability of stopping the truck = 0.96×0.99= 0.9504
At low speed
case: A works and B does not
= 0.96×(1-0.99) = 0.0096
case2 : B works and A does not
= 0.99×(1-0.96) = 0.0396
Therefore, probality of stopping = 0.0096+0.0396 = 0.0492
When oxygen in water interacts with iron it results in O A rust forming O B) a chemical change C) oxidation O D) all of the above
PLEASE HELP I need help bad
66. Which of the following results of correlational
studies implies that environment contributes to
the determination of IQ?
(A) Correlations are higher for identical twins
than for fraternal twins.
(B) Correlations are higher for children and their
biological parents than for children and their
adoptive parents.
(C) Correlations are higher for parents and their
children than for husbands and wives.
(D) Correlations for two children in the same
family are lower when one of the children is
adopted than when both are the biological
offspring of the parents.
(E) Correlations for children and their adoptive
parents are statistically significant and
positive.
i think the answer is B.
i believe this because the child’s brain development is proven to have changed based off separation from their biological parents, presenting a change in their environment
i hope this helps ! ♡
Correlational study involves a non-experimental study of the relationship between two variables using statistical study in the evaluation of our result.
The association between environment and IQ in the options given is best identified by the statistical significance shown in the association between children and their adoptive parent.
Correlational study involves the establishment of statistical pattern or trend using methods such as Analysis of variance. Statistical evaluation is key in establishing the outcome of a correlational study or evaluation. Since the method by which the correlation between the variables in the other options aren't stated, the best option is E.Therefore, correlation between adoptive parent and children showing positive statistical significance implies a correlational study.
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Kendra wonders how she ended up with brown hair, hazel eyes, and is right handed. Using the terms amino acids, genes, proteins, and traits, explain how she ended up with these features.
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Four 15 Ω resistors are connected in series with a 45 V battery. What is the current in the circuit?
Answer:
3A
Explanation:
Resistance=R=15
Voltage=45volts
we know that[tex]\boxed{\sf Current=\dfrac{Voltage}{Resistance}}[/tex]
[tex]\\ \tt \mapsto \:Current=\dfrac{45}{15}[/tex]
[tex]\\ \tt \mapsto \:Current=\dfrac{3A}[/tex]
The current of the circuit is 0.75 amps
The first step is to write out the parameters
Four resistors of 15 in series
15+15+15+15
= 60
voltage= 45
Current= 45/60
= 0.75
Hence the current is 0.75 amps
Please see the link below for more information
https://brainly.com/question/3712069?referrer=searchResults
a car travels a distance of 1600km in 24hr .what was it's speed
Answer:
66.66 or 66.67
Explanation: