Answer:
I. Angle = 41.7° Northeast.
II. Vr = 7.08m/s
Explanation:
Let the two cars be denoted by A and B
Given the following data;
Mass of car A = 1232 Kg
Velocity of car A = 25.6 m/s
Mass of car B = 2028 Kg
Velocity of car B = 17.5m/s
First of all, we would solve for momentum;
Momentum = mass × velocity
Momentum, M1 = 1232 × 25.6
Momentum, M1 = 31539.2 Kgm/s
Momentum, M2 = 2028 × 17.5
Momentum, M2 = 35490 Kgm/s
Now, let's find the resultant momentum using the Pythagoras theorem;
R² = M1² + M2²
R² = 31539.2² + 35490²
R² = 994721136.6 + 1259540100
R² = 2254261237
Taking the square root of both sides, we have
Resultant momentum, R = 47479.06 Kgm/s
To find the direction;
Angle = tan¯¹(M1/M2)
Angle = tan¯¹(31539.2/35490)
Angle = tan¯¹(0.89)
Angle = 41.7° Northeast.
To find the speed;
R = (M1 + M2)Vr
47479.06 = (31539.2 + 35490)Vr
47479.06 = 67029.2Vr
Vr = 47479.06/67029.2
Vr = 7.08m/s
A wooden block has a mass of 12 kg and is experiencing a force of 6 N. Calculate the acceleration that the wooden block will experience. Give your answer to ONE DECIMAL PLACE.
The pressure of a liquid at the 10.2 meters depth is 80100 Pascal. - What is the density of the fluid in kg/cubic meter?
Answer:
8165.138kg/cubic meter
Explanation:
Pressure= 80100 Pascal.= 1N/m^2
Height=10.2 meters
density of the fluid in kg/cubic meter= ?
g=acceleration due to gravity= 9.81m/s^2
The pressure of a system can be calculated using the expression below
P = ρ g h
Where
p =pressure,
h =depth of the liquid,
ρ = density of the liquid,
g = acceleration due to gravity.
If we substitute those values we have
80100 1N/m^2= ρ × 9.81m/s^2
ρ= 80100/9.81
ρ=8165.138kg/cubic meter
Hence, the density of the fluid in kg/cubic meter is 8165.138kg/cubic meter
Your 1500kg car is stuck behind a truck traveling 27 m/s. To pass it, you speed up to 34 m/s in
6.0 s. What power is required to do this?
Answer:
P = 53375[W]
Explanation:
First, we must use the following equation of kinematics, which allows us to calculate the acceleration value.
[tex]v_{f}=v_{o}+a*t[/tex]
where:
Vf = final velocity = 34 [m/s]
Vo = initial velocity = 27 [m/s]
a = acceleration [m/s²]
t = time = 6 [s]
Now replacing:
[tex]34=27+a*6\\a=1.167[m/s^{2} ][/tex]
Now we must use Newton's second law, which tells us that the sum of forces is equal to the product of mass by acceleration. In this way, we have the following equation.
ΣF =m*a
where:
F = force [N]
m = mass = 1500 [kg]
a = acceleration = 1.167 [m/s²]
[tex]F=1500*1.167\\F=1750[N][/tex]
Power is defined as the product of force by speed. But we have two speeds, the initial and the final. We must use the average speed to be able to estimate the power needed.
[tex]V_{average}=\frac{34+27}{2} =30.5[m/s][/tex]
And the power:
[tex]P=F*V_{average}\\P=1750*30.5\\P=53375[W][/tex]
change 200km/hr into m/sec
Answer:
200km/hr=55.55m/sec
Explanation:
200km/1hr×1000m/1km×1hr/3600sec=200,000/36000
An isotope has a half-life of 25 days. If you start with 50 grams, how much of the substance
will remain after 50 days? *
25 grams
12.5 g
6.75 g
Answer:
12.5
Explanation:
If the half life is 25 days then in 50 days it will half twice
50/2=25
25/2=12.5
If a ball is thrown alt 96 m/s, and it travels 3 seconds, what is the total distance the ball travelec
Answer: 288 m
Explanation: 288 m is the correct answer because the question states that the ball is thrown at 96 m every second, and our question tells us that the ball travels 3 seconds. This means we have to multiply 96 x 3 = 288 m.
Answer:
288
Explanation:
A 8.0-kg ball is thrown towards a wall with a speed of 9.0 m/s. The ball hits the wall and rebounds backward with a speed of 2.0 m/s. What is the momentum change experienced by the ball?
Answer:
DP = 56 [kg*m/s]
Explanation:
We know that momentum is defined by the product of mass by Velocity. In this way by means of the following equation, we can calculate the impulse.
[tex]P=m*v\\[/tex]
where:
P = momentum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
Now replacing:
[tex]P=8*9\\P=72[kg*m/s][/tex]
And after the ball hits the wall:
[tex]P_{2}=8*2\\P_{2}=16[kg*m/s][/tex]
The change in momentum is equal to:
[tex]DP=72-16\\DP = 56 [kg*m/s][/tex]
A sound wave traveling through dry air has a frequency of 16 Hz, a wavelength of 22 m, and a speed of 350 m/s. When the sound wave passes through a cloud of nitrous oxide, its wavelength changes to 16 m, while its frequency remains the same. What is its new speed? (The equation for the speed of a wave is v= f x 1.)
A. 350 m/s
B. 16 m/s
C. 5,600 m/s
D. 256 m/s
It's D
Answer:
D. 256 m/s
Explanation:
[tex]f[/tex] = Frequency of the wave = [tex]16\ \text{Hz}[/tex]
[tex]\lambda[/tex] = Wavelength = [tex]16\ \text{m}[/tex]
Speed of a wave is given by
[tex]v=f\lambda[/tex]
[tex]\Rightarrow v=16\times 16[/tex]
[tex]\Rightarrow v=256\ \text{m/s}[/tex]
The speed of the wave as it passes through the cloud of nitrous oxide is [tex]256\ \text{m/s}[/tex].
Answer:
D. 256 m/s
Explanation:
d. d as in dog
3. Why is a subducting plate boundary considered a type of
convergent plate boundary?
Answer:
✔ convergent
Explanation:
Answer:
B ( Convergent)
Explanation:
ANSWER ASAP GIVING BRAINLIEST FIVE STARS AND A HEART!
As sound waves move throughout a medium the particles from it vibrate in different directions.
Answer:
Sound waves in air (and any fluid medium) are longitudinal waves because particles of the medium through which the sound is transported vibrate parallel to the direction that the sound wave moves. A vibrating string can create longitudinal waves as depicted in the animation below.
To remove a nut from an old rusty bolt, you apply a 100-N force to the
end of a wrench perpendicular to the wrench handle. The distance from
the applied force to the axis of the bolt is 25 cm. What is the torque
exerted on the bolt in N-m?
Answer:
yes its 25cmjdj8dnen8dnejdid
Which objects will likely have the greatest gravitational force between them?
a. Two tennis balls that are near each other
b. Two soccer balls that are near each other
c. Two tennis balls that are touching each other d. Two soccer balls that are touching each other
Answer:
d. Two soccer balls that are touching each other
Explanation:
Let [tex]m_1[/tex] be the mass of a tennis ball, [tex]m_2[/tex] is the mass of a soccer ball.
As the mass of a soccer ball is more than the mass of a tennis ball, so
[tex]m_2 > m_1[/tex]
Let [tex]d_1[/tex] be the distance between the centers of both the balls near each other and [tex]d_2[/tex] be the distance between the centers of both the balls touching each other.
So, [tex]d_2 > d_1[/tex]
The gravitational force, F, between the two objects having masses M and m and separated by distance d is
[tex]F=\frac{GMm}{d^2}[/tex]
Where G is the universal gravitational constant.
As, the gravitational force is directly proportional to the product of both the masses and inversely proportional to the square of the distance between them, so selecting the larger mass ([tex]m_2[/tex], soccer ball) separated by a lesser distance ([tex]d_2[/tex], touching) to get more gravitational force.
Therefore, there will be a larger gravitational force between them when two soccer balls touching each other.
Hence, option (d) is correct.
Answer:
Two soccer balls that are touching each other
Explanation:
I got it right on the test.
Pls ans briefly explain
Answer:
The force of gravitational will decreases by a factor of 4
Explanation:
The given parameters are;
The symbol that represents the given mass = m
The mass of the circular ring = M
The initial distance of the mass "m" located at the point P from the center O = h
The final distance of the mass "m" when moved further away from point O = 2·h
Given that h = r, we have;
[tex]The \ initial \ gravitational \ force, F_1 =G \cdot \dfrac{M \cdot m}{r^{2}}[/tex]
Therefore, when OP = 2·h, we have;
OP = 2·r and the new gravitational force, F₂, is given as follows;
[tex]F_2 =G \cdot \dfrac{M \cdot m}{(2\cdot r)^{2}} = G \cdot \dfrac{M \cdot m}{4\cdot r^{2}} = \dfrac{1}{4} \times G \cdot \dfrac{M \cdot m}{r^2} = \dfrac{1}{4} \times F_1[/tex]
[tex]\therefore F_2 = \dfrac{1}{4} \times F_1[/tex]
Therefore, when the mass, m, is removed such that OP = 2h, the value of the gravitational force decreases by a factor of 4.
A hummingbird has a mass of about 1.7 g. Suppose a hummingbird does 0.15 J of work against gravity, so that it ascends straight up with a net acceleration of 1.2 m/s2. How far up does it move?
Answer:
2 m long, how wide is it? SOLUTION. Given: F = 60.0 N. W = 2.05 × 105. J x = 9.60 × 102 m. Unknown: d = ? ... moved? 3. A hummingbird has a mass of about 1.7 g. Suppose a hummingbird does 0.15 J of work against gravity, so that it ascends straight up with a net acceleration of 1.2 m/s. 2 . How far up does it move? 4.
Explanation: hope this helps plz help me with my question
What kind of waves occur when the motion of the medium is parallel the the wave direction
Answer:
A longitudinal wave is a wave in which particles of the medium move in a direction parallel to the direction that the wave moves.
Explanation:
hope this helped
A penny is dropped off the top of the Stratosphere from rest and falls freely with the
acceleration due to gravity (9.81 m/s2). After 5 seconds, how far has it fallen (Ax)?
Answer:
S = 122.5m
Explanation:
Given the following data;
Acceleration due to gravity = 9.8m/s²
Time, t = 5 seconds
Since it's a free fall, initial velocity, u = 0
To find the displacement, we would use the second equation of motion given by the formula;
[tex] S = ut + \frac {1}{2}at^{2}[/tex]
Where;
S represents the displacement or height measured in meters. u represents the initial velocity measured in meters per seconds. t represents the time measured in seconds. a represents acceleration measured in meters per seconds square.Substituting into the equation, we have;
[tex] S = 0*5 + \frac {1}{2}*(9.8)*5^{2}[/tex]
[tex] S = 0 + 4.9*25[/tex]
S = 122.5m.
Which two terms describe salt (NaCI)
Answer:
Sodium chloride, regular table salt, is also known as the mineral halite.
...
Follow-Up Questions:
Find sodium and chlorine on The Periodic Table of the Elements. ...
NaCl is known as an ionic compound. ...
Chlorine is known as a diatomic molecule.
This type of bike tire is thinner, lighter, more expensive, and punctures easily.
Solar energy and hydroelectric energy are important sources of energy. Find out more about either one of these forms of energy. What is being done to make it a more efficient source of energy, and where it is being used in the United States?
Answer:
Question: Find out more about either one of these forms of energy
Answer:
Solar energy: This is energy generated from the sunlight, and it can be converted to other energy that can be useful. Solar energy from the sun considered a clean source of electricity can be converted to a usable electricity source or stores the light in batteries for thermal use. This energy conversion is possible through the use of solar panels attached to where the conversion would take place so as to capture the light from the sun.
Question: What is being done to make it a more efficient source of energy
Answer:
1. When using solar energy to power homes, it is more efficient to have panels on a green roof because of the characteristics of this roof not to reflect or lose more light from the sun.
2. Improvements on the type of solar cell to use for instance that are cheaper and could maximize the energy from the sun are all ways that make it more efficient.
3. Since solar panels don't produce energy at night, usage of batteries that could store electricity during the day or when the sun is not obscured would make solar more efficient.
Question: where it is being used in the United States?
Answer:
1. California
2. Nevada
3. New York
4. Texas
Spiderman has a mass of 80 kg. He knows his webbing will break if it is exposed to a 200 N force. What is the maximum height he can swing off of? You can assume aerodynamic forces prevent Spiderman from travelling greater than 30 m/s.
Answer:
This depends on the writers
if they want they can make spiderman deny the laws of nature
Help!
In a school zone, speeding fines?
A. are the same.
B. are doubled.
C. are tripled.
Question 4 of 20 :
Select the best answer for the question.
4. What do wire junctions on a schematic without a dot mean?
A. It's main circuit wiring.
B. The wires don't touch.
C. The wires are connected.
D. The schematic isn't finished.
Mark for review (Will be highlighted on the review page)
Moyt Ouestion >>
Answer:
b
Explanation:
manita carries a box of mass 40kg. What is the wieght of the box?
Answer:
40kg
Explanation:
that the answer
Which term describes this diagram
A. food web
B.trophic level
C. Food chain
D. Matter cycle
Answer:
the answer is letter; C
Explanation:
Two reindeer-in-training pull on a sleigh. Connie pulls with a force of 200
Nat an angle of 60 degrees above the x-axis, while Randolph pulls with a
force of 800 N at an angle of 60 degrees below the x-axis. What is their
resultant force on the sleigh?
Answer:
Their resultant force magnitude on the sleigh is approximately 583.095 N
Explanation:
The given parameters are;
The magnitude and direction in which the two reindeer-in-training pull on the sleigh are;
The force with which Connie pulls on the sleigh, F₁ = 200 N
The direction in which Connie pulls on the sleigh = 60° above the x-axis
The force with which Randolph pulls on the sleigh, F₂ = 800 N
The direction in which Connie pulls on the sleigh = 60° below the x-axis
The vector form of the force with which the two reindeer-in-training pulls the sleigh is given as follows;
[tex]\underset{F_1}{\rightarrow}[/tex] = 200 × cos(60°)·i + 200 × sin(60°)·j = 100·i + (100·√3)·j
[tex]\underset{F_2}{\rightarrow}[/tex] = 800 × cos(60°)·i - 800 × sin(60°)·j = 400·i - (400·√3)·j
The resultant force, R = [tex]\underset{F_1}{\rightarrow}[/tex] + [tex]\underset{F_2}{\rightarrow}[/tex]
∴ R = 100·i + (100·√3)·j + 400·i - (400·√3)·j = 500·i - (300·√3)·j
Their resultant force magnitude on the sleigh, [tex]\left | R \right |[/tex] = √(500² + (-300)²) ≈ 583.095 N
The direction of the resultant force = arctan(-300/500) = arctan(-0.6) ≈ -30.964 which is approximately 30.964° below the x-axis.
If a device uses mains electricity at 230v and has a 13a fuse in the plug wht is the maximmum power it can safley use?
Answer:
2990W
Explanation:
Given parameters:
Voltage = 230V
Current = 13A
Unknown:
Maximum power it can safely use = ?
Solution:
To solve this problem;
Power = Current x Voltage
Power = 230 x 13 = 2990W
Earth's gravity is pulling a ball downward toward Earth. What is the reaction force?
Answer: Air resistance is "pushing" the ball upwards.
Explanation:
1. Deshaun Watson (100 kg) accelerates from rest to 9.0 m/s in 1.5 s. What is the average power
output of Deshaun in kW? (2 mark)
Answer:
P = 5400[W]
Explanation:
We must use the following equation of kinematics to calculate the acceleration.
[tex]v_{f}=v_{o}+a*t[/tex]
where:
Vf = final velocity = 9 [m/s]
Vo = initial velocity = 0 (starting from rest)
a = acceleration [m/s²]
t = time = 1.5 [s]
[tex]9=0+a*1.5\\a=9/1.5\\a=6[m/s^{2} ][/tex]
Now with this second equation of kinematics, we can determine the distance traveled.
[tex]v_{f}^{2}=v_{o}^{2}+2*a*x[/tex]
where:
x= distance [m]
[tex]9^{2} = 0 +2*6*x\\12*x=81\\x=6.75[m][/tex]
Now we must use Newton's second law which tells us that the sum of forces is equal to the product of mass by acceleration.
∑F = m*a
Now replacing:
[tex]F=100*6\\F=600[N][/tex]
Ahora la potencia se puede calcular por medio del producto de la fuerza por velocidad.
[tex]P=F*v[/tex]
where:
P = power [W]
F = force = 600 [N]
v = velocity = 9 [m/s]
[tex]P=9*600\\P=5400[W][/tex]
Plz help me
A negative charge of-3.0Cand a lositive charge of 3.0 Care separated by 1m, What is the force between the two
charges?
A negative charge of -0,5 Cexerts a repelling force of 10.0 N on a second charge that is 0.5m away. What is the sign
and magnitude of the second charge?
R21
Answer:
sign of the other charge is -ve
A ferris wheel with radius r rotates freely about its central
point with initial angular speed wi. A cart on the end
moves at linear speed 2v.
Suddenly, the ride deaccelerates so the cart moves with
speed v. The final angular speed is Of.
How does the angular speed of the ferris wheel
change?
Choose 1 answer:
Answer:
decreases by 2
Explanation:
The angular speed of the ferris wheel decreased by a factor of 2.
Angular speedThe angular speed of an object is the rate of change of angular displacement with time.
Relationship between angular speed and linear speedv = ωr
[tex]r = \frac{\omega }{v} \\\\\frac{\omega_1 }{v_1} = \frac{\omega_2 }{v_2} \\\\\omega_2 = \frac{\omega _1 v_2}{v_1} \\\\\omega _2 = \frac{\omega _i \times v}{2v} \\\\\omega _2 = \frac{1}{2} (\omega _1)[/tex]
Thus, the angular speed of the ferris wheel decreased by a factor of 2.
Learn more about angular speed here: https://brainly.com/question/6860269