The car undergoes an acceleration a of
a = (0 - 22.0 m/s) / (25.0 s) = -0.880 m/s²
The force acts in a direction opposite the car's motion, so the car has mass m such that
-1510 N = m (-0.880 m/s²)
m = (1510 N) / (0.880 m/s²) ≈ 1715.91 kg ≈ 1720 kg
A vertical spring stretches 3.4 cm when a 12-g object is hung from it. The object is replaced with a block of mass 26 g that oscillates up and down in simple harmonic motion. Calculate the period of motion.
Answer:
Period of motion is approximately 0.5447 seconds
Explanation:
We start by calculating the constant "k" of the spring which can be derived from the fact that an object of mass 12 g produced a stretch of 3.4 cm: (we write everything in SI units)
F = k * x
0.012 kg * 9.8 m/s^2 = k 0.034 m
k = 0.012 kg * 9.8 m/s^2 / (0.034 m)
k = 3.46 N/m
now we use the formula for the period (T) of a spring of constant k with a hanging mass 'm':
[tex]T=2\pi\,\sqrt{\frac{m}{k} }[/tex]
which in our case becomes:
[tex]T=2\pi\,\sqrt{\frac{0.026}{3.46} } \approx 0.5447\,\,sec[/tex]
how to calculate the unknown force
the formula to calculate the force is, F = MA
An airplane flies between two points on the ground that are 500 km apart. The destination is directly north of the origination of the flight. The plane flies with an air speed of 120 m/s. If a constant wind blows at 10.0 m/s due west during the flight, what direction must the plane fly relative to north to arrive at the destination?
a. 4.78 degree E of N
b. 4.76 degree E of N
c. 85.2 degree W of N
d. 4.78 degree W of N
e. 4.76 degree W of N
Answer:
A
Explanation:
Given that
V' = speed of flight of the plane, 120 m/s
V(0) = speed of the wind, 10 m/s
From a rough sketch, we can see that the flight takes place in shape of a right angled triangle of which both the speed of the plane and that of the wind are adjacent to each other. Thus, invoking Pythagoras' rule, we have
Cos Φ = V(0)/V', making Φ the subject of formula, we have
Φ = Cos^-1 [V(0)/V']
On substituting the values, we have
Φ = Cos^-1 [10/120]
Φ = Cos^-1 0.083
Φ = 85.2 to 1 decimal place
The final piece of the jigsaw is subtracting this angle from 90, so we have
90 - 85.2 = 4.78°
Since the wind is blowing at a direction due West during the flight, then the plane would have to fly due East instead.
A computational model predicts the maximum kinetic energy a roller coaster car can have given its mass, the speed at the highest point of its journey, and the height of the highest point.
The mass is 250 kg, and the highest point of the journey is at 30 m, where the cart is at rest. What is its maximum kinetic energy?
73,500 J
468,750 J
0 J
112,500 J
Answer:
kinetic energy = 112,500 J
Explanation:
Given:
Mass m = 250 kg
Final velocity v = 30 m/s
Find:
kinetic energy
Computation:
kinetic energy = 1/2[mv²]
kinetic energy = 1/2[(250)(30)²]
kinetic energy = 1/2[225,00]
kinetic energy = 112,500 J
Answer:
73,500 J
Explanation:
100% Correct
A block is attached to a spring hanging vertically. After being slowly lowered, it hangs at rest with the spring stretched by 15.0 cm. If the block is raised back up and released from rest with the spring unstretched, what maximum distance does it fall
Answer:
The equilibrium position is 15 cm below the starting point. The motion is symmetric about the equilibrium position, so the two turning points are 30 cm apart.
When the block is raised back up and released from rest with the spring unstretched, it falls a maximum distance of approximately 0.949 meters before bouncing back up due to the oscillations caused by the spring.
Given
The stretch of the spring when at rest (x) = 15.0 cm = 0.15 m
The spring constant (k) [Assume a value for k, let's say k = 200 N/m]
The acceleration due to gravity (g) ≈ 9.81 m/s²
We need to find the maximum distance the block falls (d) when released from rest with the spring unstretched.
Step 1: Calculate the mass of the block (m) using the spring constant and the stretch of the spring:
From Hooke's Law, the force exerted by the spring is given by:
Fspring = k * x
The force exerted by the spring (Fspring) is equal to the weight of the block (mg) when the block is at rest and hanging. So we can write:
k * x = m * g
Solve for "m":
m = (k * x) / g
m = (200 N/m * 0.15 m) / 9.81 m/s²
m ≈ 3.06 kg
Step 2: Calculate the maximum distance the block falls (d) when released:
Using the equation derived from the conservation of mechanical energy:
d = √((2 * m * g * x) / k)
Substitute the known values:
d = √((2 * 3.06 kg * 9.81 m/s² * 0.15 m) / 200 N/m)
d ≈ √(0.9009 m)
d ≈ 0.949 m
Hence, when the block is raised back up and released from rest with the spring unstretched, it falls a maximum distance of approximately 0.949 meters before bouncing back up due to the oscillations caused by the spring.
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Miranda warnings and waiver must be shown if the person's statement resulted from the combined pressures of:_________
(a) Calculate the absolute pressure at the bottom of a freshwater lake at a point whose depth is 30.0 m. Assume the density of the water is 1.00 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa
(b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 34.1 cm
Answer:
(a) The absolute pressure at the bottom of the freshwater lake is 395.3 kPa
(b) The force exerted by the water on the window is 36101.5 N
Explanation:
(a)
The absolute pressure is given by the formula
[tex]P = P_{o} + \rho gh[/tex]
Where [tex]P[/tex] is the absolute pressure
[tex]P_{o}[/tex] is the atmospheric pressure
[tex]\rho[/tex] is the density
[tex]g[/tex] is the acceleration due to gravity (Take [tex]g = 9.8 m/s^{2}[/tex] )
h is the height
From the question
h = 30.0 m
[tex]\rho[/tex] = 1.00 × 10³ kg/m³ = 1000 kg/m³
[tex]P_{o}[/tex] = 101.3 kPa = 101300 Pa
Using the formula
[tex]P = P_{o} + \rho gh[/tex]
P = 101300 + (1000×9.8×30.0)
P = 101300 + 294000
P =395300 Pa
P = 395.3 kPa
Hence, the absolute pressure at the bottom of the freshwater lake is 395.3 kPa
(b)
For the force exerted
From
P = F/A
Where P is the pressure
F is the force
and A is the area
Then, F = P × A
Here, The area will be area of the window of the underwater vehicle.
Diameter of the circular window = 34.1 cm = 0.341 m
From Area = πD²/4
Then, A = π×(0.341)²/4 = 0.0913269 m²
Now,
From F = P × A
F = 395300 × 0.0913269
F = 36101.5 N
Hence, the force exerted by the water on the window is 36101.5 N
Describe any diversity you have encountered through physical activity.
I dont know whatt this means lol.
Physical activity can be a great way to connect with others and encounter a wide range of diversity in terms of age, gender, ethnicity, culture, and physical abilities.
What is encountered through physical activity?Physical activity is an excellent way to bring people from different backgrounds together, and it can be a great opportunity to celebrate diversity. I have heard stories of people who have participated in physical activities such as team sports, yoga classes, or running groups and have encountered a wide range of diversity in terms of age, gender, ethnicity, culture, and physical abilities.
For example, in team sports such as soccer or basketball, players may come from different cultural backgrounds and speak different languages. This diversity can create challenges in communication, but it can also provide an opportunity for players to learn about each other's cultures and develop a sense of community.
In yoga classes, participants may come from different age groups, genders, and physical abilities. The instructor may offer modifications to poses to accommodate participants with different needs, creating an inclusive and welcoming environment.
In running groups or races, participants may come from all walks of life and have different reasons for running. Some may be running for fitness, while others may be running to raise awareness for a cause or to honor a loved one. This diversity can create a supportive and motivating atmosphere, where runners can encourage each other and celebrate their achievements.
Therefore, physical activity can be a great way to connect with others, learn about different cultures and backgrounds, and celebrate diversity.
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Two stars in a binary system orbit around their center of mass the centers of the two stars are 7.17 multiply 10 to the power 11 apart The larger of the two stars has a mass of 3.7 x 10 to the power 30 kg is 2.08 multiply 10 to the power 11 from the system center of mass what is the mass of the smaller star
Answer:
1.512 × 10^(30) kg
Explanation:
Distance between centre of the 2 stars: x_2 = 7.17 × 10^(11) m
Mass of larger star; m1 = 3.7 x 10^(30) kg
Distance of larger star from the system center of mass; x_cm = 2.08 × 10^(11) m
Let the initial distance be x1 = 0
Thus, to find the mass(m2) of the smaller star, we will use the formula;
m2 = m1(x_cm - x1)/(x_2 - x_cm)
Plugging in the relevant values, we have;
m2 = (3.7 x 10^(30)) × ((2.08 × 10^(11)) - 0)/((7.17 × 10^(11)) - (2.08 × 10^(11)))
m2 = 151.2 × 10^(28) kg = 1.512 × 10^(30) kg
The density of ice can help preserve the habitats of aquatic organisms, but it can also cause the death of an organism. Which statement describes how this could happen?
A. The contraction of water as it freezes increases the amount of nutrients that can dissolve in liquid water, but it could cause cells of an organism to shrink.
B. The expansion of water as it freezes causes water to become solid from the top down, but it could cause cells of an organism to burst.
C. The contraction of water as it freezes causes water to become solid from the top down, but it could cause fluid in cells to dissolve fewer helpful substances.
D. The expansion of water as it freezes increases the amount of nutrients that can dissolve in liquid water, but it could cause fluid in cells to dissolve more harmful substances.
Answer:
I think it's D. The expansion of water as it freezes increases the amount of nutrients that can dissolve in liquid water, but it could cause fluid in cells to dissolve more harmful substances.
Explanation:
I know when water freezes, it expands and between the two answers that discuss the expansion of water, D sounds the most logical to me lol.
how much force is required to accelerate a 0.10 gram mosquito at 20m/?
Answer: 0.002 newtons
===================================================
Work Shown:
I'm assuming you meant to write "at 20 m/s^2" at the end. If so, then,
0.10 grams = 0.10/1000 = 0.0001 kg
m = 0.0001 kg = mass
a = 20 m/s^2 = acceleration
F = ma .... newton's second law
F = 0.0001*20
F = 0.002
The force required is 0.002 newtons
Answer:Force is 2
Explanation:
F=ma
F= 0.10x20
F=2
The definition of agility
when the direction of acceleration is opposite to the direction of velocity
Answer:
If acceleration points in the same direction as the velocity, the object will be speeding up. And if the acceleration points in the opposite direction of the velocity, the object will be slowing down.
Why is a magnetic field a vector quantity?
Α. directional force
B. directional speed
c. specified location
D. It produces long field lines,
E. It produces field lines that are close together
Answer:
B. Directional speed........
Answer:
B. directional speed ...................................
Superman is flying and slows from a velocity 60 m/s to a velocity of 30 m/s in 300m. What is his acceleration?
а
-0.1 m/s/s
-4.5m/s/s
b
-9m/s/s
d
-1.0m/s/s
Answer:
a = - 4.5 [m/s²]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f}^{2}= v_{o}^{2}+2*a*x[/tex]
where:
Vf = final velocity = 30 [m/s]
Vo = initial velocity = 60 [m/s]
x = distance = 300 [m]
a = acceleration [m/s²]
Now replacing:
[tex]30^{2} = 60^{2}+2*a*300\\30^{2} -60^{2}=600*a\\-2700 = 600*a\\a=-4.5[m/s^{2} ][/tex]
Rest energy is the energy a body has due to its position at rest.
True
False
The energy of a body's mass at rest is calculated as the product of the mass at rest and the square of the speed of light, thus the Rest energy is the energy a body has due to its position at rest, so this statement is true.
What is energy?Energy is the ability to perform work in physics. It could exist in several different forms, such as potential, kinetic, thermal, electrical, chemical, radioactive, etc. Additionally, there is heat and work, which is energy being transferred from one body to another. Energy is always assigned based on its nature once it has been transmitted. Thus, heat transmitted may manifest as thermal energy while work performed may result in mechanical energy.
The energy of a body's mass, at rest, is calculated as the product of the mass at rest and the square of the speed of light.
Therefore, rest energy is the energy a body has due to its position at rest.
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Which energy resource makes up part of the blue segment of the graph shown here?
A. hydroelectric
B. natural gas
C. wind
D. geothermal
Non-renewable energy comes from sources that will run out or will not be replenished in our lifetimes—or even in many, many lifetimes. Most non-renewable energy sources are fossil fuels: coal, petroleum, and natural gas.
Answer: B. natural gas
There are four forces acting on a car. The forces are:
a. 325N to the north
b. 175N to the south
c. 465N to the east
d. 255N to the west
Find the net force acting on the car.
Answer:
| Fn | = 258 N
Explanation:
Net Force
The net force vector is the sum of all the force vectors applied to a body.
There are four forces applied to a car:
325N to the north
175N to the south
465N to the east
255N to the west
To simplify the calculations, we find the net force by each axis separately, considering forces to the right and upward as positive.
Fx = 465 N - 255 N = 210 N
Fy = 325 N - 175 N = 150 N
The magnitude of the net force is:
[tex]|Fn|=\sqrt{210^2+150^2}[/tex]
[tex]|Fn|=\sqrt{44100+22500}[/tex]
[tex]|Fn|=\sqrt{66600}[/tex]
| Fn | = 258 N
A racecar driver steps on the gas, and his racecar travels 20 meters in 2 seconds starting from rest. The acceleration of the racecar is:_______
Answer:
2.5m/s^2
Explanation:
Step one:
given
distance = 20meters
time = 2 seconds
initial velocity u= 0m/s
let us solve for the final velocity
velocity = distance/time
velocity= 20/2
velocity= 10m/s
[tex]v^2=u^2+2as\\\\10^2=0^2+2*a*20\\\\100=40a[/tex]
divide both sides by 40
[tex]a= 100/40\\\\a=10/4\\\\a= 5/2\\\\a= 2.5m/s^2[/tex]
The acceleration of the racecar is [tex]10 m/s^2[/tex]
Given that,
A racecar driver steps on the gas, and his racecar travels 20 meters in 2 seconds starting from rest.The calculation is as follows;
[tex]L = V_1T + aT^2\div 2\\\\20 = (0)(2) + a(2)^2\div 2[/tex]
a = 10 m/s^2
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Any one watch SerieS here
Answer:
no what is about if u dont mind explaining it to me?
UwU
If not have a good no a great day anyway
Too little air pressure in just one tire can make a car
difficult to control.
A.TRUE
B.FALSE
Answer:
I think it is true
Explanation:
If you didn't have much air in a tire it wouldn't move easily, therefore making the statement true!
The luminosity of a quasar is generated in a region the size of:___________.
(a) the Milky Way.
(b) a star cluster.
(c) the solar system.
Answer:(c) the solar system.
Explanation: A quasar is an extragalactic object which is believed to be the most luminous object in the universe. They radiate a very large amount of radiation and are known to be like the stars.
The solar system is a term used to describe the Sun and the objects such as the planets,Stars moving round the Sun and are attracted towards the sun by the force of gravity.
Which is an example of a decomposition reaction?
A. CH4 + 202 - 2H2O + CO2
B. 2H202 - 2H20 + O2
C. 2Li + CaCl2 - 2LICI + Ca
D. Si + 02 - SiO2
Help please
Answer:
the answer is B
I guessed and got it right
If a source radiates sound uniformly in all directions and you triple your distance from the sound source, what happens to the sound intensity at your new position
Answer:
The new intensity becomes (1/9) of the initial intensity.
Explanation:
A source radiates sound uniformly in all directions and its intensity is proportional to the distance as follows :
[tex]I\propto \dfrac{1}{r^2}[/tex]
Let I₁ and I₂ be the intensities at a distance r₁ and r₂. So,
[tex]\dfrac{I_1}{I_2}=\dfrac{r_2^2}{r_1^2}[/tex]
We have, r₂ = 3r₁
[tex]\dfrac{I_1}{I_2}=\dfrac{9r_1}{r_1}\\\\\dfrac{I_1}{I_2}=9\\\\I_2=\dfrac{I_1}{9}[/tex]
Hence, the new intensity becomes (1/9) of the initial intensity.
which of the following will increase if the voltage in a circuit is increased ?
a) power.
b)length of all the wire in the circuit.
c) current
d) resistance
check all that apply
Answer:
C
Explanation:
the current will increase
Ryan is swinging a 0.2 kg ball tied to a string around his head in a flat, horizontal circle. The radius of the circle is 0.40 m, and linear speed is 1.3 m/s. Find the centripetal force acting on the ball to keep it in the circular path. O 1.72 N O 2.04 N 0 0.046 N 0 0.845 N
Hello!!
How you now, first we have to calculate centripetal aceleration, for that we know what:
[tex]\boxed{\alpha =\frac{v^{2} }{r} }[/tex]
[tex]\textbf{Being:}[/tex]
[tex]\sqrt{}[/tex] [tex]\alpha = Centripetal\ aceleration= \ ?[/tex]
[tex]\sqrt{}[/tex] [tex]r = Radius = 0,4\ m[/tex]
[tex]\sqrt{}[/tex] [tex]v = Linear \ speed = 1,3\ m/s[/tex]
[tex]\textbf{So let's replace and resolve it}[/tex]
[tex]\alpha = \dfrac{(1,3\ m/s)^{2}}{0,4\ m}[/tex]
[tex]\alpha = 4.225 \ m / s^{2}[/tex]
And, for calculate centripetal force, lets applicate the formula:
[tex]\boxed{ F = m * \alpha }[/tex]
[tex]\textbf{Being:}[/tex]
[tex]\sqrt{}[/tex] [tex]\alpha = Centripetal\ aceleration= \ 4,225\ m/ s^{2}[/tex]
[tex]\sqrt{}[/tex] [tex]F = Centripetal \ force = ?[/tex]
[tex]\sqrt{}[/tex] [tex]m = Mass = 0,2\ kg[/tex]
[tex]\textbf{So let's replace and resolve it}[/tex]
[tex]F = 0,2 \ kg * 4,225\ m /s^{2}[/tex]
[tex]F = 0.845\ N[/tex]
[tex]\text{The centripetal force is \textbf{0,845 N} }[/tex]
Good Luck!!
What color is a mirror, Is mirror a color?
Mirror isn't a color, it's a reflection of you.
Answer:
It is not a color but a reflection
Explanation:
#12A Dog is a mammal and reproduces sexually. it has 52
chromosomes what is the percentage of chromosomes that
were passed in just the egg cell to the dog?
O 100%
O 45%
O 75%
O 50%
In this lab, you observed how different factors such as velocity, gradient, and ____ , or amount of water in a stream, affect the rate of ___, the transport of materials from one area to another by water.
Answer:
volume and erosion
Explanation:
Answer:
volume and erosion
Explanation:
A swimmer is heading directly across a river 200 m wide and reaches the opposite bank in 6 minutes and 40 seconds, during which time she is swept downstream 480 m. What is the speed of the current
Answer:
v = 1.2 m/s
Explanation:
The speed of current is in the direction of downstream. Hence, we will use distance the swimmer was swept through. We can use the following formula for the speed of current:
[tex]s = vt[/tex]
where,
s = distance through which she was swept = 480 m
v = speed of current = ?
t = time taken = [tex](6\ min)(\frac{60\ sec}{1\ min}) + 40\ sec = 360\ sec + 40\ sec[/tex]
t = 400 sec
Therefore, using values in the equation, we get:
[tex]480\ m = v*(400\ sec)\\\\v = \frac{480\ m}{400\ sec}[/tex]
v = 1.2 m/s
