The answers to this test are:
1. What is the maximum speed when the conditions are mass = 450 kg, initial height = 30 m, and the roller coaster car is initially at rest?
24.2 m/s
2. A computational model predicts the maximum height that a roller coaster car can reach when the lowest height of its journey is at ground level, where it has a speed of 20 m/s. Given these conditions, what is the maximum height?
20.4 m
3. A computational model predicts the speed of a roller coaster car at different heights given its speed at the lowest height of its journey, which is at ground level. The speed at the lowest point is 30 m/s. What is the prediction for its speed when it is at a height of 20 m?
22.5 m/s
4. A computational model predicts the maximum potential energy a roller coaster car can have given its mass and its speed at the lowest point of its journey. Its mass is 350 kg, and it speed at a height of 0 m is 25 m/s. What is the prediction for its maximum potential energy?
109,375 J
5. What is the benefit of using simple computational models in a spreadsheet application, like the one used in this course, to predict mechanical energy and related values?
It is easy to calculate new scenarios.
The predicted speed of roller coaster at the given height is 22.5 m/s. Hence, option (d) is correct.
Given data:
The speed of roller coaster at the lowest point is, v = 30 m/s.
The height of coaster is, h = 20 m.
We need to predict the speed at the given height. So for that purpose, we can use the law of conservation of energy. As per the conservation of energy :
Total energy at height of 20 m = Total energy at bottom
PE + KE = PE' + KE'
Here,
PE and KE are the potential and kinetic energies at respective points.
So,
[tex]mgh + \dfrac{1}{2}mv'^{2}=0 + \dfrac{1}{2}mv'^{2}[/tex]
At bottom, the potential energy is zero.
Solving as,
[tex]gh + \dfrac{1}{2}v'^{2}=\dfrac{1}{2}v^{2}\\\\(9.8 \times 20) + \dfrac{1}{2} \times v'^{2}=\dfrac{1}{2} \times 30^{2}\\\\v' = 22.5 \;\rm m/s[/tex]
Thus, we can conclude that the predicted speed of roller coaster at the given height is 22.5 m/s. Hence, option (d) is correct.
Learn more about the conservation of energy here:
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How many chromosomes does a human diploid cell have
Answer:
23
Explanation:
During take-off a 8kg model rocket, initially at rest, burns fuel for 6.3s causing its speed to increase from rest to 60m/s during this time despite experiencing a 50N drag.
What is the magnitude of the net force on the rocket?
What is the strength of the thrust?
What is the magntiude of the rocket's acceleration?
What is the rocket's height at the instant it runs out of fuel?
The rocket attains a speed of 60 m/s in a matter of 6.3 s, so it is undergoing an acceleration a of
a = (60 m/s - 0) / (6.3 s) ≈ 9.52 m/s²
During launch, the only forces acting on the rocket are directed vertically:
• its weight (pointing down) with magnitude W,
• drag (pointing down) with magnitude 50 N, and
• thrust (pointing up) with magnitude T.
(a) By Newton's second law, the magnitude of the net force is proportional to the acceleration according to
∑ F = m a
where m is the mass of the rocket, so the magnitude of the net force is
(8 kg) (9.52 m/s²) ≈ 76.2 N
and it is directed upward.
(b) Expanding the equation from part (a) gives
T - W - 50 N = (8 kg) (9.52 m/s²)
The weight is
W = (8 kg) g = (8 kg) (9.80 m/s²) = 78.4 N
so the thrust force is
T ≈ 76.2 N + 78.4 N + 50 N ≈ 205 N
(c) We found this earlier, a ≈ 9.52 m/s².
(d) The rocket's height y at time t is given by
y = 1/2 a t ²
so that after 6.3 s, it will have reached a height of
y = 1/2 (9.52 m/s²) (6.3 s)² = 189 m
Is lateral shift or lateral displacement same ?
Answer:
When a ray of light passes through a glass slab of a certain thickness, the ray gets displaced or shifted from the original path. This is called lateral shift/displacement.
Explanation:
.
An object is moving with constant speed in a circular path. The object's centripetal acceleration remains constant in
A)
magnitude, only
B)
direction, only
C)
both magnitude and direction
D)
neither magnitude nor direction
Both magnitude and direction. Centripetal acceleration always act towards the center of the circle and have constant value.
What is centripetal acceleration?"When a body moves in a circular path the acceleration acting towards the center of the circle is called centripetal acceleration." Hence the magnitude and direction will not change.
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#SPJ2
Which TWO statements about the substances in this experiment are true?
A. Water has a higher surface tension than vegetable oil
B. Isopropyl alcohol boils more easily than water
C. Adding salt to water increases surface tension
D. Adding salt to water decreases surface tension
Answer:
a and b
water has a higher surface tension than veg oil
isopropyl alcohol boils more esier than water
Explanation:
just did the test trust me :)
A and B statement is true about the substances in this experiment.
A. Water has a higher surface tension than vegetable oil.
B. Isopropyl alcohol boils more easily than water.
What is substance?A substance is a specific type of stuff with specific features. A substance is any pure compound or element. Water is a pure material and a hydrogen-oxygen combination.
A. Water has a higher surface tension than vegetable oil.
Reason:
The force operating at a border between two phases is measured as surface tension. Surface tension at liquid-air interfaces is caused by the higher attraction of liquid molecules to each other than air molecules.
Due to the relatively strong attraction of water. Hence molecules of water have high surface tension.
B.. Isopropyl alcohol boils more easily than water.
Reason:
isopropyl alcohol is a highly flammable liquid that evaporates significantly faster than water, especially when heated. The boiling point of isopropyl alcohol is lower than that of water.
Alcohol is more volatile than water. Hence Isopropyl alcohol boils more easily than water.
To learn more about the substance refer to the link;
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the actual frequency of the
A stationary observer is approached by a rapidly moving ambulance with the sirenon. As the ambulance approaches the observer, the apparent frequency of the sound is ______ the actual frequency of the siren
A. The same as
B. Greater than
C. Less than
D. Not related to
Answer:
ITS B need more characters so yessir
DESPERATE WILL GIVE BRAINLIST AND THANKS
Half-life is the time needed for half of a sample of radioactive material to decay.
Question 5 options:
True
False
Answer:
true
Explanation:
the force of attraction between two objects is called gravity why do you think that an object like your note book pulls twords you
gravitaional pull
not sure
Find the acceleration produced.
Answer:
0.67m/s²
Explanation:
Given parameters:
Mass of toy = 1.2kg
Force applied = 0.8N
Unknown:
Acceleration = ?
Solution:
According to newton's second law of motion;
Force = mass x acceleration
Now,
Acceleration = [tex]\frac{Force}{mass}[/tex]
Acceleration = [tex]\frac{0.8}{1.2}[/tex] = 0.67m/s²
Answer:
Givenforce = 0.8 N
mass = 1.2 kg
To findforce
Formula used[tex] \boxed{force = m.a}[/tex]
solutionAccording to Newton's second law of motion
[tex] \boxed{ \bold \pink {\underline{f =m.a}}} [/tex]
where
f= force
m= mass
a= acceleration
substitute the value in the above formula
0.8 = 1.2 × accleration
accleration= 0.8/1.2
acceleration= 0.66 m/sec²
A person with a mass of 75kg is accelerated to 3 m/s2. How much force was applied to him?
Answer:
225 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 75 × 3
We have the final answer as
225 NHope this helps you
A car with a mass of 2000 kg travels to the right at a speed of 80 m/s. A truck travels to the left at a speed of 20 m/s and has a mass of 7000 kg. Which one of the two has the greatest momentum?
Cannot tell without the impulse
The truck
Both have the same momentum
The car
Answer:
The car has the greatest momentum, 160000 [kg*m/s]
Explanation:
In order to solve this problem we must remember that linear momentum is defined as the product of mass by Velocity. In this way we have the following equation
P = m*v
where:
P = lineal momemtum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
Therefore we must calculate the momentum for both the truck and the car.
For the car
Pc = 2000*80
Pc = 160000 [kg*m/s]
For the Truck
Pt = 7000*20
Pt = 140000 [m/s]
The car has the greatest momentum
How does reducing the mass of a moving object by half (1/2) change its kinetic energy?
A ball dropped off of a cliff from rest takes 4.00 s to reach the bottom of the cliff.
b. What is the velocity of the ball at the bottom of the cliff?
Given
Unknown
Equation
Solution
Answer:
39.2 m/s
Explanation:
Given:
free-fall from rest for 4 seconds
Unknown:
final velocity (v)
Solution:
equation: v = at
The acceleration due to gravity is 9.8 m/s², so the velocity after 4 seconds will be ...
v = (9.8 m/s²)(4 s) = 39.2 m/s
At the bottom of the cliff, the velocity of the ball will be 39.2 m/s.
If your weight is 100N and you run up a flight of stairs that is 6 m high and it takes
you 2 s, what is your power?
Answer:
power=300watt
Explanation:
4 Which statements apply to compressional waves? Choose more than one answer. Similar to ocean waves Cause molecules to vibrate Travel through outer space Travel through air, liquid, or solid Move in the same direction as energy flow Move at right angles to the direction of energy flow
Answer:
* viajan a través del aire, liquido o solido
*Moverse en la misma dirección que el flujo de energía
Explanation:
En el análisis de ondas existen dos tipo fundamentales: Transversales y longitudinales.
La ondas transversales las oscilación de la partícula es perpendicular al movimiento de la misma.
En la onda longitudinal el movimiento de la partícula es en la misma dirección que el movimiento de la onda, por esta razón están ondas se llaman ondas de compresión.
En base a las definiciones iniciales las frases correctas son:
* viajan a través del aire, liquido o solido
*Moverse en la misma dirección que el flujo de energía
Answer:
Cause molecules to vibrate
Travel through air, liquid, or solid
Move in the same direction as energy flow
Explanation:
If Ali travels at 80 m/s for 30 seconds, how far does he fo in meters?
Answer:
2400 meters
Explanation:
80*30=2400
Answer:
speed=80m/s
time=30s
distance=?
Now,
speed=d/t
80=d/30
d=80×30
d=2400m
EZ QUESTION!!!
Why are bananas curved?
Answer:
Bananas go through a process called ‘negative geotropism’ so they can reach the sun
A 25 kg mass is accelerated by a force at a rate of 5 m/s2. What is the magnitude of the force that accelerates the man?
A space station rotates, providing 1 g acceleration for its inhabitants. If it is
rotated at twice the rotational speed, what will the acceleration be for them?
NEED ASAP
Answer:
Hype
Explanation:
Yyrru
Tim is pushing a box with a 7 N force. The weight of the box is 5 N. A frictional force
of 3 N is acting on the box as it is being pushed. The ground is holding the box up
with a 5 N force. These forces are shown in the diagram below.
What forces (Normal Force, Force of Gravity, Force of Friction or Applied Force are
unbalanced in this scenario?
Friction and the applied force are not balanced. The 7 N push is countered by the frictional force of 3 N to push the box with a net force of 4 N.
Using a launch angle of zero, set the height to any value between 3-15 m. Set the horizontal velocity between 1-17 m/s and record your initial values in the variables table below.
A. 2. Complete the other known values in the table below for a horizontally launched project
Answer:It depends on the initial velocity of the projectile and the angle of projection. The maximum height of the projectile is when the projectile reaches zero vertical velocity. ... The horizontal displacement of the projectile is called the range of the projectile and depends on the initial velocity of the object
the response of an object to the gravity is called ____
Answer:
gravity interactions
©
w
0.02m.
Calculate the linear and angular velocity of the tip of a second switch of length
(Ans. 0.002 ms', 0.01 rads']
Answer:
ω = 0.1 rad/s
v = 0.002 m/s
Explanation:
The angular velcoity of the second hand of the clock can be found by:
ω = θ/t
where,
ω = Angular Speed
θ = Angular Displacement
t = time taken
Now, for one complete revolution of second hand of the clock:
θ = 2π rad
t = 60 s
Therefore,
ω = 2π rad/60 s
ω = 0.1 rad/s
Now, for the linear speed (V):
V = rω
where,
V = Linear Speed of Second Hand = ?
r = radius = length of second hand = 0.02 m
Therefore,
V = (0.02 m)(0.1 rad/s)
V = 0.002 m/s
What is the biggest quad muscle
A. Vastus Intermedius
B. Vastus Lateralis
C. Rectus Femoris
D. Vastus Medialis
Answer:
b
Explanation:
Answer:
B. Vastus Lateralis
Explanation:
The vastus lateralis muscle is located on the side of the thigh. This muscle is the largest of the quadriceps group.
2. Jenny picks up a guitar and strums. If the sound from the string emanates out at 440 Hz,
what is the wavelength of that sound wave?
Answer:
6.8×10^6 m
Explanation:
f = velocity of light/ wavelength
440= 3×10^8 / wavelength
so
wavelength = 3×10^7/ 44
= 6.8×10^6 m
One end of a string is fixed. An object attached to the other end moves on a horizontal plane with uniform circular motion of radius R and frequency f. The tension in the string is Fs . If both the radius and frequency are doubled, the tension is what
Answer:
If both the radius and frequency are doubled, then the tension is increased 8 times.
Explanation:
The radial acceleration ([tex]a_{r}[/tex]), measured in meters per square second, experimented by the moving end of the string is determined by the following kinematic formula:
[tex]a_{r} = 4\pi^{2}\cdot f^{2}\cdot R[/tex] (1)
Where:
[tex]f[/tex] - Frequency, measured in hertz.
[tex]R[/tex] - Radius of rotation, measured in meters.
From Second Newton's Law, the centripetal acceleration is due to the existence of tension ([tex]T[/tex]), measured in newtons, through the string, then we derive the following model:
[tex]\Sigma F = T = m\cdot a_{r}[/tex] (2)
Where [tex]m[/tex] is the mass of the object, measured in kilograms.
By applying (1) in (2), we have the following formula:
[tex]T = 4\pi^{2}\cdot m\cdot f^{2}\cdot R[/tex] (3)
From where we conclude that tension is directly proportional to the radius and the square of frequency. Then, if radius and frequency are doubled, then the ratio between tensions is:
[tex]\frac{T_{2}}{T_{1}} = \left(\frac{f_{2}}{f_{1}} \right)^{2}\cdot \left(\frac{R_{2}}{R_{1}} \right)[/tex] (4)
[tex]\frac{T_{2}}{T_{1}} = 4\cdot 2[/tex]
[tex]\frac{T_{2}}{T_{1}} = 8[/tex]
If both the radius and frequency are doubled, then the tension is increased 8 times.
If both the radius and frequency are doubled, then the tension will be increased 8 times.
From kinematic formula:
[tex]\bold {a_r = 4\pi r^2 \times f^2 \times R^2}[/tex] .............................. (1)
Where:
f - Frequency,
R - Radius of rotation,
From Second Newton's Law,
[tex]\bold {\sum F = T = m\times a_r }[/tex] ......................... (2)
Where
m is the mass of the object,
From equation 1 and 2,
[tex]\bold {T = m\times 4\pi r^2 \times f^2 \times R^2}\\[/tex] .................... (3)
From equation, tension is directly proportional to the radius and the square of frequency.
Then, if radius and frequency are doubled, then the ratio between tensions is:
[tex]\bold {\dfrac {T_2}{T_1} = (\dfrac {F_2}{F_1})^2 \times \dfrac {R_2}{R_1} = 4 \times 2 = 8 }[/tex]
Therefore, If both the radius and frequency are doubled, then the tension will be increased 8 times.
To know more about frequency,
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what do you mean by pressure
a car moving with a velocity of 15 m/s accelerates to a velocity of 37 m/s in 3.2 seconds. what's the car's rate of acceleration?
given:
find:
formulas:
manipulate:
substitute:
answer:
Answer:
a = 6.87 [m/s²]
Explanation:
To solve this problem we must use the following equation of kinematics.
[tex]v_{f} =v_{o} +a*t[/tex]
where:
Vf = final velocity = 37 [m/s]
Vo = initial velocity = 15 [m/s]
a = acceleration [m/s²]
t = time = 3.2 [s]
Note: The positive sign in the above equation means that the velocity is increasing, due to the acceleration.
37 = 15 + a*3.2
3.2*a = 37 - 15
a = 6.87 [m/s²]
5. A farmer is walking through a field at a velocity of +0.5 meters per second (m/s) relative to the ground. At the same time, he is throwing seeds in front of him at a velocity of +2.1 m/s relative to himself. What is the velocity of the seeds relative to the ground as they travel through the air?
Answer:
Explanation:
im sorry i coudnty help
What is the thermal energy of an object?
Question options:
the total potential temperature of its particles
the total potential energy of its particles
the total kinetic energy of its particles
the total kinetic and potential energy of its particles
Answer:
the total kinetic and potential energy of its particles
Explanation:
The energy contained in the small motions of the object's molecules can be broken up into a combination of microscopic kinetic energy and potential energy.
