PLEASE HURRY! The highest speed ever achieved on a bicycle was reached by John Howard of the United
States. The bicycle, which was accelerated by being towed by a vehicle, reached a velocity
of 6.81 m/s. Suppose Howard wants to slow down, and applies the brakes on his now freely
moving bicycle. If the average acceleration of the bicycle during braking is -3.0 m/s2
, how
long will it take for the bicycle’s velocity to decrease to 5.44 m/s?
Answers
Well, to begin with, your first number gang somewhat aglay. The land speed record that John Howard set on his bicycle in 1985 was 152.2 miles per hour, which works out to 68.04 m/s. So I can see where you got the 6 and the 8 from, but your little decimal point snuck over one place when you weren't looking.
I'll use your number to answer the question. If my solution turns out to be wrong, then it's because you copied the number wrong, and you'll have to work it out again with an initial speed of 68.1m/s.
Initial speed = 6.81 m/s
Final speed = 5.44 m/s
Amount of slowing down = 1.37 m/s
Rate at which the brakes slow you down = 3 m/s each second
Time needed to slow down 1.37 m/s = (1.37 m/s) / (3 m/s^2)
That's 0.457 second. (obviously absurd)
If initial speed = 68.1 m/s
Then amount of slowing down = 62.66 m/s
Time needed at -3 m/s^2 = (62.66/3)
That's 20.9 seconds. Much more reasonable.
By the way, John Howard's record was broken 10 yrs later, in 1995 .
Time it will take for the bicycle’s speed to decrease to 5.44 m/s is 20.9 seconds.
What is speed?The speed of an object is the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.
Given
Initial speed = 6.81 m/s
Final speed = 5.44 m/s
Amount of slowing down = 1.37 m/s
Rate at which the brakes slow you down = 3 m/s each second
Time needed to slow down 1.37 m/s = (1.37 m/s) / (3 m/s^2)
That's 0.457 second. (obviously absurd)
If initial speed = 68.1 m/s
Then amount of slowing down = 62.66 m/s
Time needed at -3 m/s^2 = (62.66/3)
Time it will take for the bicycle’s velocity to decrease to 5.44 m/s is 20.9 seconds.
To learn more about speed refer to the link:
brainly.com/question/28224010
#SPJ2
Related Questions
A surface is bombarded by particles, each of mass small 'm', which have velocity
normal to the surface. On average, n particles strike unit area of the surface each second
and rebound elastically. What is the pressure on the surface?
A. nmv
B. 2nmv
C. nmv²
D. 1/2nmv²
Answers
Answer:
B. 2nmv
Explanation:
Pressure is force over area.
P = F / A
Force is mass times acceleration.
F = ma
Acceleration is change in velocity over change in time.
a = Δv / Δt
Therefore:
F = m Δv / Δt
P = m Δv / (A Δt)
The total mass is nm.
The change in velocity is Δv = v − (-v) = 2v.
A = 1 and Δt = 1.
Plugging in:
P = (nm) (2v) / (1 × 1)
P = 2nmv
the laboratory for a body. I in rth. Total:[4] (2) bout a point? ...[1] hat are they? [2] le which is ntally by an (11 iform metre rule Figure 4.1 below shows astone of mass 2kg which drops from the top of a cliff and takes two seconds to strike the ground Acceleration of free fall.g=10m/s². Stone T 77 Figure 4.1 (a) Name the form of energy possessed by the stone before it falls. (b) Determine the height of the cliff (c) Calculate (i) Ground Height,h.......... [2] The kinetic energy of the stone when half way down. [1] Kinetic energy......... The final velocity of the stone as it strikes the [2] stone Klif
Answers
The stone possesses potential energy at the top of the cliff, which is converted to kinetic energy as it falls toward the ground. Using the formula for the distance traveled by a freely falling object, we can calculate that the height of the cliff is 20 meters. The ground height is equal to zero, and when the stone is halfway down, it has a kinetic energy of 100 Joules. Using the formula for the final velocity of a freely falling object, we can calculate that the stone's final velocity as it strikes the ground is 20 m/s.
(a) The form of energy possessed by the stone before it falls is potential energy. When the stone is at the top of the cliff, it has the potential to do work due to its position relative to the ground. This potential energy is converted into kinetic energy as the stone falls towards the ground.
(b) We can use the formula for the distance traveled by a freely falling object to determine the height of the cliff:
d = 1/2 * g * t^2
where d is the distance, g is the acceleration due to gravity, and t is the time taken to fall.
Substituting the given values, we get:
d = 1/2 * 10m/s^2 * (2s)^2
d = 20 meters
Therefore, the height of the cliff is 20 meters.
(c)
(i) The ground height h is equal to zero since it is the reference level.
(ii) When the stone is halfway down, it has fallen a distance of d/2 = 10 meters. At this point, all of the potential energy has been converted to kinetic energy. We can use the formula for kinetic energy to calculate the kinetic energy of the stone:
KE = 1/2 * m * v^2
where KE is the kinetic energy, m is the mass of the stone, and v is its velocity.
Substituting the given values, we get:
KE = 1/2 * 2kg * (2 * g * d/2)
KE = 100 Joules
Therefore, the kinetic energy of the stone when halfway down is 100 Joules.
(iii) To find the final velocity of the stone as it strikes the ground, we can use the formula for the final velocity of a freely falling object:
v = sqrt(2 * g * d)
where v is the final velocity, g is the acceleration due to gravity, and d is the distance fallen.
Substituting the given values, we get:
v = sqrt(2 * 10m/s^2 * 20m)
v = sqrt(400)
v = 20 m/s
Therefore, the final velocity of the stone as it strikes the ground is 20 m/s.
To learn more about Gravitational potential energy click:
brainly.com/question/31096472
#SPJ1
Bro help me
Explain how an object with a higher temperature can have less thermal energy than an object with a lower temperature. ASAP
Answers
The total energy of all the particles makes up thermal energy. This implies that larger objects with slower-moving particles at low temperatures can have more energy than smaller ones with higher temperatures.
What is thermal energy?Thermal energy is the sum of the energies of all the particles. This implies that larger objects at low temperatures can have more energy than smaller ones at higher temperatures due to slower-moving particles.
These molecules and atoms move more quickly when something is heated, providing it with more thermal energy. Compared to cold water, hot water has more thermal energy.
Therefore, molecules and atoms in colder objects move more slowly and have less thermal energy than those in warmer ones. The ability of particles to transfer energy increases with speed.
To learn more about thermal energy, refer to the below link:
https://brainly.com/question/11278589
#SPJ2
the asteroid 234 ida has a mass of about 4x10^16 kg and an average radius of about 16 km. The acceleration due to gravity at the earth`s surface is 9.8 m/s^2. what is the acceleration due to gravity on the moon`s surface?
a. 9.58 m/s^2
b. 2.8 m/s^2
c. 1.9 m/s^2
d. 3.0 m/s^2
Answers
A student conducts an experiment to determine how the temperature of water affects the time for sugar to dissolve. In each trial, the student uses a different amount of sugar and a different temperature of water.
What is wrong with this experimental design?
A. The student does not have a dependent variable.
B. The student changed too many variables.
C. The student needs to perform more trials.
D. The student did not change enough variables.
Answers
How would the calculation change if a typical comet in the Oort cloud is only 1 km in diameter?
Answers
When a typical comet in the Oort cloud is only 1 km in diameter, then the mass of the Oort cloud is changes to 4.18×10⁹ kg.
The mass of each comet int he Oort cloud is,
mass = density × Volume
volume of sphere = 4/3(π×r²) where, r = radius of the sphere
From the given,
diameter = 1 km
radius = Diameter / 2 = 1/2(D)
Volume of the comet = 4/3 (π×r²) = 4/3 (π× (1/2 (10)³)²)
= 4/3×(π) ×(1/8×10⁶)
Mass = density × volume, where density = 1000 kg/m³
= 1000 × 4/3×(π) ×(1/8×10⁶)
= 4.18 ×10⁹ kg
When the typical comet in the Oort cloud is only 12 km in diameter the mass of Oort cloud is 4.18×10⁹ kg.
To know more about the Oort cloud :
https://brainly.com/question/23368033
#SPJ1
A cart of mass 0.5 kg sits at rest on a table on which it can roll without friction. It is attached to an unstretched spring. You give the mass a push with a constant force over a distance of 5 cm in the direction that compresses the spring, after which the mass starts undergoing simple harmonic motion with a frequency of 0.5 complete oscillations per second and an amplitude of 15 cm.
A) What is the spring constant of the spring?
B) How fast was the cart moving at the instant when you finished pushing it?
C) What force did you exert on the cart?
Answers
(A) The spring constant of the spring is 4.94 N.
(B) The speed of the cart after pushing it is 0.47 m/s.
(C) The force applied to the cart is 0.75 N.
Spring constant
ω = √k/m
where;
ω is angular frequencyk is spring constantm is mass0.5 rev/s = 0.5(2π) rad/s = π rad/s = 3.142 rad/s
ω² = k/m
k = mω²
k = 0.5 x (3.142)²
k = 4.94 N/m
Energy stored in the springE = ¹/₂kA²
where;
A is amplitude
E = ¹/₂(4.94)(0.15)²
E = 0.056 J
Speed of the cartE = ¹/₂mv²
2E = mv²
v² = 2E/m
v² = (2 x 0.056)/(0.5)
v² = 0.224
v = √0.224
v = 0.47 m/s
Force exerted on the cartE = ¹/₂FA
2E = FA
F = 2E/A
F = (2 x 0.056)/(0.15)
F = 0.75 N
Thus, the spring constant of the spring is 4.94 N. The speed of the cart after pushing it is 0.47 m/s. The force applied to the cart is 0.75 N.
Learn more about spring constant here: https://brainly.com/question/1968517
#SPJ1
What is the unit of measure of work?
Select one:
a. Kilogram/meter
b. Newton/kilogram
c. Meter Kilogram
d. Newton meter
Answers
The unit of measure of work is (d) Newton meter, which is commonly abbreviated or acronym as Nm or Joule (J). Option D is correct.
The quantity of energy transferred by a force operating via a displacement is referred to as work. It is computed by dividing the amount of force applied in the displacement direction by the length of the force's application. The mathematical formula for work (W) is
W=f×d×cosФ
Theta is the angle between the force vector and the displacement vector. F is the force, d is the displacement, and d is the displacement.
The unit of work, also known as the Newton meter (Nm) or Joule (J), is created by multiplying the force, measured in Newtons, by the distance, measured in meters. In many branches of research and engineering, the Joule is the unit of labor and energy that is most frequently employed.
Learn more about force here:
https://brainly.com/question/13191643
A 24.4kg dog is running northward at 2.14m/s, while a 5.53kg cat is running eastward at 3.56m/s. Their 78.5kg owner has the same momentum as the two pets taken together. Find the direction of the owner's velocity. Find the magnitude of the owner's velocity.
Answers
The owner's velocity is in the opposite direction of the combined velocity of the dog and the cat, and its magnitude is approximately 0.916 m/s.
To solve the given problem, we can use the principle of conservation of momentum to find the direction and magnitude of the owner's velocity.
Let's denote the velocity of the dog as v1 (northward), the velocity of the cat as v2 (eastward), and the velocity of the owner as v (unknown).
According to the conservation of momentum, the total momentum before the interaction is equal to the total momentum after the interaction.
The total momentum before the interaction is given by:
Total momentum before = (mass of the dog * velocity of the dog) + (mass of the cat * velocity of the cat) + (mass of the owner * velocity of the owner)
Mass of the dog (m1) = 24.4 kg
Velocity of the dog (v1) = 2.14 m/s
Mass of the cat (m2) = 5.53 kg
Velocity of the cat (v2) = 3.56 m/s
Mass of the owner (m3) = 78.5 kg
Velocity of the owner (v) = unknown
Total momentum before = (24.4 kg * 2.14 m/s) + (5.53 kg * 3.56 m/s) + (78.5 kg * v)
The total momentum after the interaction is zero since the owner has the same momentum as the pets taken together.
Total momentum after = 0
Equating the two expressions:
(24.4 kg * 2.14 m/s) + (5.53 kg * 3.56 m/s) + (78.5 kg * v) = 0
Simplifying the equation:
(52.216 kg·m/s) + (19.6488 kg·m/s) + (78.5 kg * v) = 0
71.8648 kg·m/s + (78.5 kg * v) = 0
Solving for v:
78.5 kg * v = -71.8648 kg·m/s
v = -71.8648 kg·m/s / 78.5 kg
v ≈ -0.916 m/s
Therefore, the direction of the owner's velocity is opposite to the combined velocity of the dog and the cat, and the magnitude of the owner's velocity is approximately 0.916 m/s.
For more such information on: velocity.
https://brainly.com/question/80295
#SPJ8
Explain why it’s much colder at the bottom of the pool than at the top. also describe what heat transfer processes is taking place
Answers
Heat transfer by radiation and convection causes the surface water of the pool to be warm which decreases with depth.
Why is it colder at the bottom of the pool than the top of the pool?
There are two heat transfer process responsible for variation in temperature of water at different depth of a pool, they include;
Heat transfer by radiationHeat transfer by convection Heat transfer by radiationThe surface of the water absorbs heat from the air and the sun. The heat from the sun is transferred to the pool through radiation.
Heat transfer by convectionThe heat from the air is transferred to the pool through convection.
Thus, these two heat transfer processes causes the surface water of the pool to be warm which decreases with depth.
Learn more about heat transfer here: https://brainly.com/question/16055406
#SPJ1
Consider the circuit in Figure 5 with e(t) = 12sin(120pit) V. When S1 and S2 are
open, i leads e by 30°. When SI is closed and S2 is open, i lags e by 30°. When S1 and S2 are closed, i has an amplitude 0.5A. What are R, L, and C?
Answers
Based on the information, it should be noted that the resistance R is 0.5 Ω.
How to calculate the resistanceWhen S1 and S2 are open, i leads e by 30°. In this case, the circuit consists of only the inductor (L) and the capacitor (C) in series. Therefore, the impedance of the circuit can be written as:
Z = jωL - 1/(jωC)
Since i leads e by 30°, we can express the phasor relationship as:
I = k * e^(j(ωt + θ))
Z = jωL - 1/(jωC) = j(120π)L - 1/(j(120π)C)
Re(Z) = 0
By equating the real parts, we get:
0 = 0 - 1/(120πC)
Let's assume that there is a resistance (R) in series with the inductor and capacitor. The impedance equation becomes:
Z = R + jωL - 1/(jωC)
Z = R + jωL
Im(Z) = ωL > 0
Substituting the angular frequency and rearranging the inequality, we have:
120πL > 0
L > 0
This condition implies that the inductance L must be greater than zero.
When S1 and S2 are closed, i has an amplitude of 0.5 A. In this case, the impedance is:
Z = R + jωL - 1/(jωC)
Since the amplitude of i is given as 0.5 A, we can express the phasor relationship as:
I = 0.5 * e^(j(ωt + θ))
By substituting this phasor relationship into the impedance equation, we can determine the value of R. The real part of the impedance must be equal to R:
Re(Z) = R
Since the amplitude of i is 0.5 A, the real part of the impedance must be equal to 0.5 A: 0.5 = R
Therefore, the resistance R is 0.5 Ω.
Learn more about resistance on
https://brainly.com/question/17563681
#SPJ1
Select the correct answer.
A Kelvin (K) is a unit of measurement in the International System of Units. Which quantity is measured in Kelvin?
Group of answer choices
length
electric current
mass
temperature
weight
Answers
Answer: Temperature
Explanation:
The second step to the scientific method is:
form a hypothesis.
ask a question.
Operform a test.
share the results.
Answers
The second step of the scientific method is to form a hypothesis. Thus, the correct option for this question is A.
What is a Scientific method?A scientific method may be defined as the complete procedure through which the objectives of any experiment are established facts through testing and experimentation. There are numerous steps of the scientific method exist.
The basic steps of the scientific methods are as follows:
Construct an observation, Form a hypothesis.Making a prediction. Conducting an experiment.Analyzing the results.It is a systematic and well-regulated approach that involves in obtaining information about a scientific nature or obtaining a desired material or product.
Therefore, the second step of the scientific method is to form a hypothesis. Thus, the correct option for this question is A.
To learn more about Scientific methods, refer to the link:
https://brainly.com/question/17216882
#SPJ9
true or false solubility can be used to identify an unknown substance
Answers
True
Compare and contrast heat and temperature. Cite examples from the readings to support your comparison. Also cite examples from what you may already know.
(THIS NEEDS TO BE LONG I WILL GIVE 100 POINTS!!!!)
Answers
Answer:
Heat is a form of energy. It is measured in Joules. ... The temperature of an object relates to both the kinetic energy of its particles and the number of particles. Temperature is the average kinetic energy of the particles in a substance.
Explanation:
Jane (m=50kg) wants to save Tarzan (m= 80kg) who is standing in the middle of a ring of fire of 5.0 m diameter. Jane has a vine (conveniently attached to a branch right above Tarzan, at a height of 33 m above the ground. Jane holds onto the vine and climbs a tree, growing 16 m away from Tarzan, until she reaches a height of 5.3 m above the ground. She swings down and grabs Tarzan around his waist (1.0m above ground). If they let go of the vine when they reach their highest point, where will they land, relative to Tarzan's original position?
Answers
The height that will illustrate the distance will be d = 6.36m
How to calculate the height?Based on the information given, the length of the vine will be:
L = ✓(16² + 27.7)²
L = 32m
The velocity of Jane when she reaches position B will be:
V = ✓2gh
V = ✓(2 × 9.8 × 4.3)
V = 9.18m/s
We will apply the conversation of momentum. This will be:
50 × 9.18 = (50 + 80)V1
V1 = 3.53m/s
Therefore, the height that will illustrate the distance will be:
31.36² + d² = 32²
d² = 32² - 31.36²
d = 6.36m
Learn more about height on:
brainly.com/question/73194
#SPJ1
TRUE OR FALSE: Increasing the time of impact during a collision increases the force experienced by the object.
Answers
Answer: True
Explanation:
What would you put? Please help me, thank you.
Answers
A lump of clay with a mass of .50.0 g is moving south at a speed of 20.0 cm/s. It collides head on with a second lump of clay with a mass of 70.0 g that is moving north at a speed of 40.0 cm/s. The two lumps stick together, and no external horizontal forces act on the system. What is the velocity of the combined lump after the collision?
Answers
The velocity of the combined lump after the collision is 39.5 cm/s, which is the average velocity of the two lumps before the collision.
To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system before a collision is equal to the total momentum of the system after the collision, provided there are no external horizontal forces acting on the system.
The momentum of an object is equal to its mass multiplied by its velocity. Therefore, we can calculate the total momentum of the system before the collision as:
Total momentum before collision = (0.50 g) × (-20.0 cm/s) + (70.0 g) × 40.0 cm/s
= -10.0 g·cm/s + 2800.0 g·cm/s
= 2790.0 g·cm/s
Since the two lumps stick together after the collision, their masses combine to form a single lump. Let's call the velocity of the combined lump after the collision "v". We can then calculate the total momentum of the system after the collision as:
Total momentum after collision = (0.50 g + 70.0 g) × v
= 70.50 g × v
According to the principle of conservation of momentum, the total momentum before the collision is equal to the total momentum after the collision. Therefore, we can equate these two expressions and solve for "v":
Total momentum before collision = Total momentum after collision
2790.0 g·cm/s = 70.50 g × v
v = 2790.0 g·cm/s ÷ 70.50 g
v = 39.5 cm/s
This result can be explained by the fact that, in the absence of external horizontal forces, the momentum of the system is conserved, and the total mass of the system remains constant.
To learn more about collision click on,
https://brainly.com/question/29127329
#SPJ1
A large piston in a hydraulic lift has an area of 100 cm2. The force needed to a small piston with an area of 15 cm2 to lift a 1800 kg car is _ kg
Answers
The force needed to lift the 1800 kg car with the small piston is 2,649 N or approximately 270 kg (since 1 kg is equal to 9.81 N).
The hydraulic lift works based on Pascal's principle, which states that the pressure applied to a confined fluid is transmitted equally in all directions throughout the fluid.
Assuming there is no loss of energy due to friction or other factors, the force exerted on the small piston will be equal to the force exerted on the large piston. This can be expressed as:
F1/A1 = F2/A2
where F1 is the force exerted on the large piston, A1 is the area of the large piston, F2 is the force exerted on the small piston (which we want to find), and A2 is the area of the small piston.
We can rearrange this equation to solve for F2:
F2 = (F1/A1) x A2
Given that the area of the large piston is 100 cm², we can calculate the force exerted on the large piston by using the weight of the car and the gravitational acceleration:
F1 = m x g = 1800 kg x 9.81 m/s² = 17,658 N
Substituting the values into the equation, we get:
F2 = (17,658 N / 100 cm2) x 15 cm² = 2,649 N
Therefore, the force needed to lift the 1800 kg car with the small piston is 2,649 N or approximately 270 kg (since 1 kg is equal to 9.81 N).
To know more about Pascal's principles, visit:
https://brainly.com/question/30258629
#SPJ1
An object is placed 3.00 cm in front of a concave lens with a focal length of 5.00 cm. Find the image distance.
Answers
ANSWER:
-1.88 cm
STEP-BY-STEP EXPLANATION:
The situation would be the following:
Given:
Object distance (u): -3 cm
Focal distance (f): -5 cm
Using the lens formula, we calculate the distance of the image:
\(\begin{gathered} \frac{1}{v}-\frac{1}{u}=\frac{1}{f} \\ \\ \text{We replacing} \\ \\ \frac{1}{v}-\frac{1}{-3}=\frac{1}{-5} \\ \\ \frac{1}{v}\cdot \:15v-\frac{1}{-3}\cdot \:15v=\frac{1}{-5}\cdot \:15v \\ \\ 15+5v=-3v \\ \\ 5v=-3v-15 \\ \\ 8v=-15 \\ \\ v=-\frac{15}{8} \\ \\ v=-1.88\text{ cm} \end{gathered}\)The image distance is -1.88 cm
Answer:
Explanation:
yfdyrdrd
what are the chemical symbols for carbon aluminium hydrogen oxygen and sodium
Answers
El unico que se es el del oxígeno: o2
Samir is waiting for a slow reaction to finish. What is the best way to make the reaction go faster?
Question 12 options:
Put it in the fridge where it is cold
Cover it with a blanket so it's dark
Warm it up on the stove
There is nothing you can do to change the speed of the reaction
Answers
In general, option c - warming it up on the stove - is often an effective method to increase the reaction rate.
Increasing the temperature of a reaction generally leads to faster reaction rates. This is because higher temperatures provide more thermal energy to the reactant particles, causing them to move faster and collide more frequently. The increased collision frequency and energy lead to more successful collisions and a higher likelihood of effective molecular interactions, which speeds up the reaction. On the other hand, options a and b - putting it in the fridge where it is cold or covering it with a blanket to make it dark - are unlikely to have a significant effect on the reaction rate. While temperature can influence reaction rates, cooling the reaction or making it dark typically reduces the kinetic energy of the particles, resulting in slower reaction rates. Option d - there is nothing you can do to change the speed of the reaction - is not accurate. The reaction rate can be influenced by various factors such as temperature, concentration, catalysts, and surface area, among others. By manipulating these factors, it is often possible to control and change the speed of a reaction. Hence option c, is correct
for more questions on reaction
https://brainly.com/question/4431224
#SPJ8
if a bus drives 2km due east,5km 45 degrees north of east, 4km at 30 degrees north of west, then 2km due south. what is the bus's resultant displacement?
Answers
The bus resultant displacement is approximately 4.14 km at an angle of 59.5 degrees north of east.
The first movement is 2 km due east, which means it has an x-component of 2 km and a y-component of 0 km.
The second movement is 5 km at 45 degrees north of east. This can be broken down into x and y components using trigonometry: x = 5 km * cos(45) = 3.54 km y = 5 km * sin(45) = 3.54 km
The third movement is 4 km at 30 degrees north of west. This can also be broken down into x and y components using trigonometry: x = -4 km * cos(30) = -3.46 km (negative because it’s towards the west) y = 4 km * sin(30) = 2 km
The fourth movement is 2 km due south, which means it has an x-component of 0 km and a y-component of -2 km.
Adding up all the x and y components, we get: x_total = 2 + 3.54 + (-3.46) + 0 = 2.08 km y_total = 0 + 3.54 + 2 + (-2) = 3.54 km
The magnitude of the resultant displacement can be calculated using the Pythagorean theorem: resultant_displacement = sqrt(x_total^2 + y_total^2) = sqrt(2.08^2 + 3.54^2) ≈ 4.14 km
The direction of the resultant displacement can be calculated using the arctan function: direction = arctan(y_total / x_total) ≈ 59.5 degrees north of east
learn more about degrees
https://brainly.com/question/32670991
An object whose weight is 100 lbf experiences a decrease in kinetic energy of 500 ft lbf and an increase in potential energy of 1500 ft lbf. The initial velocity and elevation of the object, each relative to the surface of the earth, are 40 ft/s and 30 ft, respectively. If g 5 32.2 ft/s2 , determine:
(a) the final velocity, in ft/s.
(b) the final elevation, in ft.
Answers
Answer:
a) \(v_2=35.60ft/sec\)
b) \(h_2=45ft\)
Explanation:
From the question we are told that:
Weight \(W=100lbf\)
Decrease in kinetic energy \(dK.E= 500 ft lbf\)
Increase in potential energy \(dP.E =1500 ft lbf.\)
Velocity \(V_1=40\)
Elevation \(h=30ft\)
\(g=32.2 ft/s2\)
a)
Generally the equation for Change in Kinetic Energy is mathematically given by
\(dK.E=\frac{1}{2}m(v_1^2-v_2^2)\)
\(500=\frac{1}{2}*\frac{100}{32.2}(v_1^2-v_2^2)\)
\(v_2=35.60ft/sec\)
b)
Generally the equation for Change in Potential Energy is mathematically given by
\(dP.E=mg(h_2-h_1)\)
\(1500=mg(h_2-h_1)\)
\(h_2=45ft\)
Your family took 6 hours to travel to your destination. The average speed for the first time 2 h 15 min was 160 km/h. For the remaining trip, the average speed was 180 km/h. How long did it take your family to travel at an average speed of 180km/h?
Answers
Answer:
3 h 45 min
Explanation:
6 - 2 = 4
4 - .15 = 3 45
Hopefully this helps you :)
pls mark brainlest ;)
If mass increases, how does force need to change in order to achieve the
same change in motion?
Answers
Explanation:
states that the acceleration of an object increases with increased force and decreases with increased mass. The law also states that the direction in which an object accelerates is the same as the direction of the force.
Pulley system is marked wih a Mechanical Advantage of 2.5. A worker applies 450n to the pulley in an attempt to lift a sound system with a 1500n weight. Of this task we could say that:
Answers
The worker must apply 600N of force to lift the sound system. The mechanical advantage of 2.5 means that the worker only needs to apply 600N of force to lift the sound system.
What is Pulley system?We can employ pulley systems to provide ourselves a mechanical advantage by multiplying our input effort to apply more force to a load.
They can be used to apply tension within a system, such as in a Tensioned Line or Tyrolean, in addition to their traditional uses of hauling and lifting loads. The basic operating principles of pulley systems are explained on this page; for details on how to use them for hauling, check the topic on hauling systems.
The dynamic unit of Newtons is commonly used to express force, which is an impact that has both magnitude and direction (N). On this page, kilograms have been utilized for the sake of clarity.
Therefore, The worker must apply 600N of force to lift the sound system. The mechanical advantage of 2.5 means that the worker only needs to apply 600N of force to lift the sound system.
To learn more about Pulley, refer to the link:
https://brainly.com/question/13752440
#SPJ1
The half-life of a source of carbon-14 is 5760 years. After how many years will the
number of radioactive particles left be 12.5% of the original amount?
Show your working out here.
Answers
Accordingly, just half of the initial 14C will be present after 5,760 years, followed by a quarter after 11,490 years, an eighth after 17,280 years, and so on.
What does half-life mean?The half-life of a radioactive sample is the amount of time it takes for half of its atomic nuclei to spontaneously transform into other nuclear species and emit particles and energy. Alternatively, it is the amount of time it takes for a radioactive sample to disintegrate at a rate of one disintegration per second.
Briefing:The half-life of carbon-14 is 5760 years.
Therefore, after
1- half-life there is 50 %=1/2 of the original amount left.
2- half-life there is 25 %=1/4 of the original amount left.
3- half-life there is 12.5 %=1/8 of the original amount left.
Therefore, the time it takes for 3 half-lives of carbon-14 to pass would be your answer.
5760 * 3 = 17280 years
To know more about half-life visit:
https://brainly.com/question/24710827
#SPJ9
CAN YOU HELP MEEEEEEEEEE PLEASEEEE
Answers
Answer:
What are your options? also i believe the answer may be ecosystem.
Explanation:
There are both biotic and abiotic factors in an ecosystem. Be cause living organisms Are Biotic. While water and rocks are abiotic which are needed to form an ecosystem.