The Cajun Cliffhanger at Great America is a ride in which occupants line the perimeter of a cylinder and spin in a circle at a high rate of turning. When the cylinder begins spinning very rapidly, the floor is removed from under the rider's feet.
A. What effect does a doubling in speed have upon the centripetal force? Explain.
B. Determine the centripetal force acting upon a 40 kg child who makes 10 revolutions around the Cliffhanger in 29.3 seconds. The radius of the barrel is 2.90 meters.
Answers
The force will be increased four times if the speed is doubled as it is proportional to square of speed.
Centripetal Force is the force that keeps the object's rotation in a circular path and it's always directed towards the center of rotation. Mathematically, it is given as,
Fc = mv²/r
From this equation it can be concluded that the centripetal force is proportional to the product of mass and the square of velocity. It is inversely proportional to the object's distance from the center.
Now in the above mentioned case, when the cylinder begins spinning very rapidly and it's speed becomes double.
Therefore by applying the above equation we conclude that " the force will be increased four times if the speed is doubled as it is proportional to square of speed."
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Related Questions
IDENTIFY WHAT IS BEING DESCRIBED IN EACH SENTENCE AND WRITE YOUR ANSWER ON THE BLANKS
_______1. Allows ingestion and breaks down food so that nutrients can be absorbed.
_______2. Provides mechanical support; stores minerals and produces red blood cells.
_______3. Protects the body's internal environment and stores fat.
_______4. Enables the transport of nutrients, glasses and wastes to and from cells.
_______5. Secretes hormones into the bloodstream for regulation of cellular activities.
Answers
2) skeletal system
3) The integumentary system
4) the cardiovascular system
5) secrete hormones
Hope this helps! Have a good day! ❤️
The correct answers for the given paragraph are as follow:
Digestive Enzymes allows ingestion and breaks down food.Skeletal system provides mechanical support and also stores minerals.Integumentary system protects the body's internal environment and stores fat.Cardiovascular system enables the transport of nutrients, glasses and wastes to and from cells.Endocrine glands secretes hormones into the bloodstream for regulation of cellular activities.1.
The digestive enzymes are the proteins that tends to break down the larger molecules like fats, proteins and carbs into smaller molecules.
Thus, the correct answer is Digestive Enzyme.
2.
The skeletal system is the framework of body, consisting of bones and various connective tissues. It provides the mechanical support and produces red blood cells.
Thus, the correct answer is skeletal system.
3. The organ system that protects the body's internal environment and stores the fat is known as Integumentary system.
Thus, the correct answer is integumentary system.
4.
The cardiovascular system enables the transport of nutrients, glasses and wastes to and from cells. Also, it is used for the transportation of nutrients and oxygen-rich blood to all parts of the body and to carry deoxygenated blood back to the lungs.
Thus, the correct answer is cardiovascular system.
5.
Endocrine glands are responsible for the secretion of hormones into the bloodstream to regulate the cellular activities.
Thus, the correct answer is Endocrine glands.
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A body of mass 80kg moving with a velocity of 6m/s hits a stationary body
of mass of 40kg. If the two bodies stick after the impact, calculate their
common velocity.
Answers
Answer:
4 m/s
Explanation:
Conservation of momentum , mv
Before collision 80 kg * 6 m/s = 480 kg-m/s
after the collision,
the momentum is the same but the mass is 80+40 kg =120 kg
mv = 480
120 * v = 480
v = 4 m/s
what is the springs constant?
Answers
The spring constant, symbolized k, is a proportionality constant that shows the relationship between the force applied to a spring and the amount of stretch or compression it undergoes in response.
In simple terms, the spring constant relates the force that is required to extend or compress a spring by a certain distance.
This is what is known as Hooke's Law, named after the scientist Robert Hooke.
According to Hooke's Law, the force required to compress or stretch a spring is directly proportional to the distance that the spring has been compressed or stretched.
Hooke's law can be expressed mathematically as: F = -kx, where F is the force being applied to the spring, x is the distance the spring is stretched or compressed from its equilibrium position, and k is the spring constant.
The negative sign in the equation indicates that the direction of the force is opposite to the direction of displacement of the spring.
The units of the spring constant depend on the units of the force and displacement used in the equation.
In SI units, the spring constant is measured in Newtons per meter (N/m).
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You see a boat sitting at the end of a dock. Ten minutes later you see the same boat in a cove to the right of the dock. You did not see the boat move.
However, you know that the boat moved because its
relative to the dock changed.
Answers
The boat must have moved, despite not being seen to move, because its relative position to the dock has changed. This phenomenon is known as relative motion .
Everything is always in motion, but the way we perceive it depends on our frame of reference.
In this scenario, the dock was the frame of reference for the initial position of the boat. When the boat moved to the cove, its position relative to the dock changed, and the dock was no longer an appropriate frame of reference. The boat's motion is now relative to the cove instead.
It is important to note that relative motion depends on the chosen frame of reference. If we were to choose the boat as the frame of reference, then it would be the dock that appears to move, not the boat. This is because motion is always relative to a chosen frame of reference.
In conclusion, the boat must have moved because its position relative to the dock changed. The concept of relative motion reminds us that motion is always relative to a chosen frame of reference, and that the way we perceive motion depends on our chosen frame of reference.
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What is a positive effect of increased carbon dioxide within the carbon cycle?
Answers
Answer:
The positive impact in the cycle is that CO2 will make plants to use water more efficiently and also thereby make them to become drought resistant and thereby grow faster.
Explanation:
Carbon cycle is the process by which carbon dioxide travels from the atmosphere to the earth and returns back to the atmosphere.
The negative impact of carbon dioxide in the carbon cycle is that it will cause green house effect. However, when it comes to the positive impact in the cycle, CO2 will make plants to use water more efficiently and also thereby make them to become drought resistant and thereby grow faster.
What is the symbol for carbonate ?
Answers
1. A ball is at rest on the top of a hill (see the figure).
At the top of the hill, the ball will have [the maximum value of its, no, the minimum value of its] gravitational potential energy and [no, the maximum value of its] kinetic energy. If the ball rolls down the hill then, its [gravitational potential energy, kinetic energy] is converted to [gravitational potential energy, kinetic energy] when it gets to the ground.
2. Get your stopwatch ready and prepare to drop the object from the height h you selected in the previous step. You should drop the object so its [bottom, top, middle] part is initially at the height h. The initial speed of the ball [zero, 9.8 m/s, 9.8 m/s^2, depends on the height h] You'll need to measure the time from when the ball leaves your hand to exactly when it hits the ground [ for the first time it bounces, after it bounces and then comes to rest, both the first time and then after it bounces; then average the two times]
.
Answers
2. When dropping the object, you should drop it so its top part is initially at the height h. The initial speed of the ball will be zero since it starts from rest. To measure the time it takes for the ball to hit the ground, you should start the stopwatch when the ball leaves your hand and stop it when the ball hits the ground for the first time. It is recommended to perform multiple trials and calculate the average time to minimize errors.
Please help with this problem!
Answers
The horizontal displacement of the backpack as it falls is 765 m.
Data obtained from the questionFrom the question given above, the following data were obtained:
Initial velocity (u) = 85 m/sAcceleration due to gravity (g) = 9.8 m/s²Time (t) = 9 sHorizontal displacement (s) =?How to determine the horizontaal displacementThe horizontal displacement of the backpack can be obtained as follow:
s = ut
s = 85 × 9
Horizontal displacement = 765 m
From the calculation made above, we can see that the horizontal displacement (i.e distance from the car) were the backpack will land is 765 m. Thus, the backpack will not land on your car. Hence, you do not need to move the car.
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A planet of mass M has a moon of mass m in a circular orbit of radius R. An object is placed between the planet and the moon on the line joining the center of the planet to the center of the moon so that the net gravitational force on the object is zero. How far is the object placed from the center of the planet
Answers
Answer:
r =\(\frac{ 1 \pm \sqrt{ \frac{m}{M} } }{1 - \frac{m}{M} }\)
Explanation:
Let's apply the universal gravitation law to the body (c), we use the indications 1 for the planet and 2 for the moon
∑ F = 0
-F_{1c} + F_{2c} = 0
F_{1c} = F_{2c}
let's write the force equations
\(G \frac{m_c M}{r^2} = G \frac{m_c m}{(d-r)^2}\)
where d is the distance between the planet and the moon.
\(\frac{M}{r^2} = \frac{m}{(d-r)^2}\)
(d-r)² = \(\frac{m}{M} \ \ r^2\)
d² - 2rd + r² = \frac{m}{M} \ \ r^2
d² - 2rd + r² (1 - \(\frac{m}{M}\)) = 0
(1 - \(\frac{m}{M}\)) r² - 2d r + d² = 0
we solve the second degree equation
r = [2d ± \(\sqrt{ 4d^2 - 4 ( 1 - \frac{m}{M} ) }\) ] / 2 (1- \(\frac{m}{M}\))
r = [2d ± 2d \(\sqrt{ \frac{m}{M} }\)] / 2d (1- \(\frac{m}{M}\))
r =\(\frac{ 1 \pm \sqrt{ \frac{m}{M} } }{1 - \frac{m}{M} }\)
there are two points for which the gravitational force is zero
The distance between object from planet will be "\(\frac{R}{[1+\sqrt{\frac{m}{M} } ]}\)".
According to the question,
Let,
Object is "x" m from planet center = R - xGravitational force = 0Mass of object = m₁As we know,
→ \(Prerequisites-Gravitational \ force = \frac{GMm}{r^2}\)
Now,
→ \(\frac{GMm_1}{x^2} = \frac{Gmm_1}{(R-x)^2}\)
→ \(\frac{(R-x)^2}{x^2} = \frac{m}{M}\)
→ \(\frac{R-x}{x} =\sqrt{\frac{m}{M} }\)
→ \(x = \frac{R}{[1+ \sqrt{\frac{m}{M} } ]}\)
Thus the answer above is appropriate.
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Ang larong Latin at Sisiw ay________________________.
Answers
larong pinoy
Explanation:
ito ay larong Pinoy
What do you picture in your mind when you read this simile?
Bolt runs as fast as lighting.
Bolt runs very fast.
Bolt runs in a straight line.
Bolt runs in a wavy manner.
Bolt's each step produces thunder.
Answers
When reading the simile "Bolt runs as fast as lightning," the most appropriate visual interpretation would be that "Bolt runs very fast."
This simile compares Bolt's speed to that of lightning, which is known for its incredible swiftness. The intention is to emphasize Bolt's exceptional speed by equating it to the rapid movement of lightning.
While the simile highlights Bolt's remarkable speed, it does not specify the manner in which he runs or the impact of each step. Therefore, the options suggesting Bolt runs in a straight line, in a wavy manner, or that each step produces thunder are not directly implied by the simile itself. These additional details go beyond the comparison of speed and introduce elements that are not explicitly mentioned.
Hence, the most accurate interpretation based solely on the simile is that Bolt runs very fast, comparable to the speed of lightning.
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Which of the following is NOT a scientific hypothesis?
A. Neon atoms emit red light.
B. There is an attractive force between the earth and moon.
C. Halle Berry is attractive.
D. Summer days are hottest
E. The sky is blue.
Answers
The following statement is not a scientific hypothesis:
C. Halle Berry is attractive.
A scientific hypothesis is a proposed explanation for an observation or pattern in nature that can be tested through further investigation and experimentation. It should be testable, falsifiable, and based on evidence.
Neon atoms emit red light. This is a scientific hypothesis that can be tested and confirmed by looking at the spectrum of light emitted by neon atoms.
B. There is an attractive force between the earth and moon. This is a scientific hypothesis that can be tested and confirmed by measuring the force of gravity between the earth and moon.
D. Summer days are the hottest of the year. This is a scientific hypothesis that can be tested and confirmed by collecting temperature data during the summer months.
E. The sky is blue. This is a scientific hypothesis that can be tested and confirmed by observing the sky under different atmospheric conditions.
The statement "Halle Berry is attractive" is a subjective opinion that cannot be tested or confirmed through scientific investigation, hence it is not a scientific hypothesis. Attractiveness, as a concept, can vary widely based on personal, cultural, and social factors.
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Sample Response: The object starts away from the origin and then moves toward the origin at a constant velocity. Next, it stops for one second. Finally, it moves away from the origin at a greater constant velocity. What did you include in your description? Check all that apply.
Answers
On a distance-time graph, "straight lines" indicate an object's constant speed of motion. Keep in mind that you can imagine a motionless item as traveling at a steady speed = 0 m/s.
What justifies a rating of 18 for Speed?GORE 6 for violence The movie has plenty of gunfire and explosions, but not a lot of gore. The constant worry of catastrophe is another. The stabbing of a security policeman in the head is one of most most horrifying scenes. In a different scene, one among the bus's passengers falls through the bus's floor and dies.
Who declined to take the speeding lead?Why Halle Berry declined the chance to work with Keanu Reeves in "Speed." One of the most recognizable movies of the era was 1994's Speed, which starred Sandra Bullock and Keanu Reeves. With Halle Berry previously considered for the role of Bullock's character, Annie Porter, things may have turned out quite differently.
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A 200 W engine generates 4000 J of energy. How long did it run for?
A. 20 s
B. 200 s
C. 0.2 s
D. 2 s
Answers
Answer:
A
Explanation:
power = energy/time
200 = energy / t
200 = 4000/t
t = 4000/200= 20 sec
2. You are traveling along a highway at night at a speed of 100 km/h when you spot an object directly in front of you in the road at the limit of your headlights. (10 Marks)
a) If the maximum braking deceleration that your car can provide is 7 m/s2, and if your headlights extend out to a range of 30 m, will you hit the object before coming to a stop?
b) How long will it take to stop?
Answers
a) To determine if the car will hit the object before coming to a stop, we need to calculate the distance required to stop the car, assuming maximum braking deceleration. We can use the following formula:
d = (v^2) / (2a)
where:
d = distance required to stop
v = initial velocity
a = acceleration/deceleration
In this case, v = 100 km/h = 27.78 m/s (converted from km/h to m/s)
a = -7 m/s^2 (negative sign indicates deceleration)
We know that the car's headlights extend out to a range of 30 m, so if the distance required to stop the car is greater than 30 m, the car will hit the object before coming to a stop.
Plugging in the values to the formula, we get:
d = (27.78^2) / (2 x -7) = 108.61 m
Since 108.61 m is greater than 30 m, the car will hit the object before coming to a stop.
b) To calculate the time required to stop, we can use the following formula:
t = v / a
where:
t = time required to stop
v = initial velocity
a = acceleration/deceleration
Plugging in the values, we get:
t = 27.78 / 7 = 3.97 s
Therefore, it will take 3.97 seconds to stop the car.
A coaxial cable consists of an inner cylindrical conductor of radius 3 cm on the axis ofan outer hollow cylindrical conductor of inner radius 7 cm and outer radius of 10 cm.The inner conductor carries current 4.5 A in one direction, and the outer conductor carries current 8 A in the opposite direction. What is the value of the magnetic field atfollowing distances from the axis of the cable:
Answers
Answer:
Hello your question lacks some information and that is the distance
At r = 0.150 m (outside the cable) note : (μ 0 = 4π × 10-7 T · m/A)
answer: 4.7 * 10^-6 T
Explanation:
R1 = 0.03 m
R2 = 0.07 m
R3 = 0.1 m
Inner conductor carries current = 4.5A in one direction
outer conductor carries current = 8A in opposite direction
Determine the value of magnetic field at r = 0.150 m
net current = 8 - 4.5 = 3.5 A
∴ β ( value of magnetic field )
= ( 4π * 10^-7 * 3.5 ) / ( 2π * 0.150 )
= 4.4*10^-6 / 0.94
= 4.7 * 10^-6 T
Describe how spatial awareness during physical activity impacts student performance
Answers
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Spatial awareness may impact student performance (even physical performance) because spatial understanding is fundamental for visual processing.
Spatial awareness refers to the understanding of a person (in this case a student) and of the relationships between different objects within a specific space.It has been shown that spatial awareness can affect performance in mathematics, punctuation spelling, etc. An example of spatial awareness includes the visualization of different objects from different perspectives.In conclusion, spatial awareness may impact student performance (even physical performance) because spatial understanding is fundamental for visual processing.
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The Cleveland City Cable Railway had a 14-foot-diameter pulley to drive the cable. In order to keep the cable cars moving at a linear velocity of 14 miles per hour, how fast would the pulley need to turn (in revolutions per minute)
Answers
Answer:
13.94 rpm
Explanation:
Given that,
The diameter of the pulley, d = 14 foot
Radius, r = 7 foot
The linear velocity of the pulley, v = 14 mph = 20.53 ft/s
We need to find the angular velocity in rpm.
We know that, the relation between the linear velocity and the angular velocity is as follows :
\(v=r\omega\\\\\omega=\dfrac{v}{r}\\\\\omega=\dfrac{20.53}{14}\\\\\omega=1.46\ rad/s\)
or
\(\omega=13.94\ rpm\)
So, the angular velocity of the pulley is 13.94 rpm.
A pilot wants to fly north. The plane has an air speed of
350 km/h. There is a 25 km/h wind blowing to the west.
(a) What is the plane's velocity relative to the ground?
(b)What is its heading?
Explain me in details. I’ll give u the brainliest if you give me the right answer.
Answers
Answer:
A? Cause is needs the Velocity more than the Heading.
The first P-wave of an earthquake travels 5600 kilometers from the epicenter and arrives at a seismic station at 10:05 a.m. At what time did this earthquake occur?
Ahhhhhh I have a Regent's test in 2 hours and I don't know how to solve this type of question! Any help would be appreciated.
Anyone know what the steps to do this are? I dont even need an answer, just how to get to it. Thank you!
Answers
The earthquake would occur 13 minutes before 10:05 a.m. which will be at 9.52 am.
The p-waves travel with a constant velocity of 7 km/s
The time can be calculated by using the formula
t = d / v
where
T1 = 10:05 a.m
d is the distance they take to travel from the epicenter
v is the speed of the p-waves
On average, the speed of p-waves is
v = 7 km/s
d = 5600 km (given)
Substituting the values in the formula;
t = d / v
t = 5600 ÷ 7
t = 800 seconds
Converting into minutes,
t = 800 ÷ 60
t = 13.3
≈ 13 mins
T1 - 13 mins = T2
10:05 - 13 mins = 9.52 am
It means the earthquake occurred prior 13 minutes, that is at 9.52 am.
Therefore, the earthquake occurred at 9.52 am.
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2- A car on a straight highway goes in the positive direction for 8 km and then backs up for 3.6 km. What are the distance and displacement covered by the train?
Answers
Answer:
11.6km
4.4km in the negative direction
Explanation:
Distance is the total length of path covered and traveled by a body.
So, for this car on a straight line;
Total distance = 8km + 3.6km = 11.6km
Displacement is the distance traveled along a path and the direction it takes.
It is a vector quantity with magnitude and directional attributes.
For this journey;
Displacement = 8km - 3.6km = 4.4km in the negative direction.
A projectile leaves the ground at 150 m/s and reaches a maximum height of 0.57 km. If there was no air resistance, at what angle above the horizontal did it leave the ground?
Answers
The projectile left the ground at an angle of 67.4 degrees above the horizontal, if there was no air resistance.
First, let's find the time of flight. We can use the kinematic equation:
y = yo + voy*t + 0.5*a*t^2
where y is the maximum height (0.57 km), yo is the initial height (0 m), voy is the initial vertical velocity (unknown), a is the acceleration due to gravity (-9.81 m/s^2), and t is the time to reach the maximum height (unknown).
Plugging in the values and solving for t, we get:
0.57 km = 0 + voy*t + 0.5*(-9.81 m/s^2)*t^2
t = 12.19 seconds
Since the total time of flight is twice the time to reach the maximum height, we have:
total time of flight = 2*t = 24.38 seconds
Now we can use the range equation to find the initial velocity vector of the projectile:
x = vox*t
1500 m = vox*24.38 seconds
vox = 61.51 m/s
where x is the range and vox is the initial horizontal velocity.
Finally, we can use trigonometry to find the initial angle of projection, theta:
voy/vox = tan(theta)
voy = vox*tan(theta)
61.51 m/s*tan(theta) = (150 m/s)
theta = 67.4 degrees
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The same collision as in Question 5 takes place, only this time the car and the truck bounce off each other completely elastically What are the final velocities of the car and truck just after the collision?
Answers
The final velocities of the car and truck just after the collision will be as per the conservation of momentum.
Momentum is defined as product of mass and velocity of the body. It is denoted by letter p and it is expressed in kg.m/s. Mathematically p = mv. it discuss the moment of the body. body having zero mass or velocity has zero momentum. The dimensions of the momentum is [M¹ L¹ T⁻¹].
According to conservation of momentum, Initial momentum will be equal to the final momentum. In the elastic collision there is no loss of energy, both energy and momentum is conserved.
if the the car is coming with velocity equal to the mass of the truck and truck is coming with mass of the car, then they have same momentum in opposite direction when they collide each other the final velocity of both car and truck becomes zero.
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A 0.32 kg toy mouse was on a couch that is 0.35m high. A car picks up the mouse and puts it in a nearby bookcase that is 2.85m high. How much work did the cat do?
Answers
A 0.32 kg toy mouse was on a couch that is 0.35 m high, a car picks up the mouse and puts it in a nearby bookcase that is 2.85 m high, and the car did 7.84 J of work.
What is the significance of the work done in the calculation?The work done by the car is calculated by ΔPE = mgh ,
(here the m=mass(0.32 kg)
g = acceleration(9.8 \(m/s^2\))
h= change in height (2.85 m - 0.35 m = 2.50 m)
ΔPE = 0.32 kg x 9.8 \(m/s^2\) x 2.50 m = 7.84 J
Hence, a 0.32 kg toy mouse was on a couch that is 0.35 m high, a car picks up the mouse and puts it in a nearby bookcase that is 2.85 m high, and the car did 7.84 J of work.
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define nortons theorem
Answers
Answer:
In direct-current circuit theory, Norton's theorem is a simplification that can be applied to networks made of linear time-invariant resistances, voltage sources, and current sources. At a pair of terminals of the network, it can be replaced by a current source and a single resistor in parallel.
Please help me ASAP!!
Answers
Answer:
the ball lose kentic energy and gains potential energy rolling upward
Answer:
c
Explanation:
when a ball is rolling down it loses potential and gains kinetic, but in this case since the ball is going upwards it is losing kinetic energy and gaining potentail like a roller coaser
Does electric charge always travel through a conductor?
Answers
Answer:
Explanation:
Charges in a wire can flow fast or slow, while electrical energy always flows along the wire at the same incredibly high speed. ... However, electrical energy does not travel though the wire as sound travels through air but instead always travels in the space outside of the wires.
Answer:
No
Explanation:
Charges in a wire can flow fast or slow, while electrical energy always flows along the wire at the same incredibly high speed. However, electrical energy does not travel though the wire as sound travels through air but instead always travels in the space outside of the wires.
The table shows the pricing for four different brands of cat food.
Which brand costs the least per ounce?
A
B
C
D
Brand Cost
A $0.88 for 4 oz
B $1.05 for 5 oz
C $1.60 for 8 oz
D $2.28 for 12 oz
Answers
Answer:
D
Explanation:
trust me bro
Particles q1 = -75.8 uC, q2 = +90.6 uQ, and q3 = -84.2 uC are in a line. Particles q1 and q2 are separated by 0.876m and particles q2 and q3 are separated by 0.432m. What is the net force on particle q3?
Answers
The net force on q3 due to q1 and q2 is \(-13.76 * 10^{-3} N\).
Electrostatic force is the fundamental force between charged particles. The electrostatic force is responsible for many phenomena in our daily life, from the attractive force between a magnet and a metal object to the lightning that occurs during a thunderstorm. We can calculate the net force between charged particles using Coulomb's law. In this question, we have three particles q1 = -75.8 uC, q2 = +90.6 uQ, and q3 = -84.2 uC, which are separated by distances r1 = 0.876m and r2 = 0.432m. The electrostatic force on q3 due to q1 and q2 can be calculated by using the formula: \(F13 = k q_1 q_3 / r_1^2 + k q_2 q_3 / r_2^2\), where k is the Coulomb's constant \(k = 9 * 10^9 N m^2 / C^2\). Plugging in the given values of q1, q2, q3, r1, r2, and k in the above formula, we can calculate the electrostatic force on q3 due to q1 and q2.F13 = (9 x 10^9) (-75.8 x 10^-6) (-84.2 x 10^-6) / (0.876)^2 + (9 x 10^9) (90.6 x 10^-6) (-84.2 x 10^-6) / (0.432)^2F13 = \(-13.76 * 10^{-3} N\). The negative sign indicates that the force is attractive and is directed towards q1 and q2. Therefore, the net force on q3 is given by the vector sum of the forces on q3 due to q1 and q2. Since the forces are collinear, we can add them algebraically. Fnet = F13 Fnet = \(-13.76 * 10^{-3} N\)The net force on q3 due to q1 and q2 is -13.76 x 10^-3 N. The negative sign indicates that the force is attractive and is directed towards q1 and q2.For more questions on net force
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A uniform solid cylindrical flywheel has a mass of 50 kg and a radius of 40 cm. The flywheel begins to rotate faster with an acceleration of 1.5 rad/s2. The kinetic energy of the flywheel after 1 minute of rotation is:
A. 16.2 KJ
B. 180 KJ
C. 40.5 KJ
D. 32.4 KJ
Answers
The kinetic energy of the flywheel after 1 minute of rotation, given that it has a mass of 50 and radius of 40 cm is 32.4 KJ (Option D)
How do I determine the kinetic energy?We'll begin by obtaining the velocity of the flywheel. This is shown below:
Radius (r) = 40 cm = 40 / 100 = 0.4 mAcceleration (a) = 1.5 rad/s² = 1.5 × 0.4 = 0.6 m/s²Time (t) = 1 minute = 1 × 60 = 60 sVelocity (v) = ?v = at
v = 0.6 × 60
v = 36 m/s
Finally, we shall determine the kinetic energy of the flywheel. Details below:
Mass (m) = 50 KgVelocity (v) = 36 m/sKinetic energy (KE) =?KE = ½mv²
KE = ½ × 50 × 36²
KE = 25 × 1296
KE = 32400 J
Divide by 1000 to express in KJ
KE = 32400 / 1000
KE = 32.4 KJ
Thus, the kinetic energy is 32.4 KJ (Option D)
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