Answer:
(i) The period is 0.25 seconds, (ii) The angular velocity is approximately 25.133 radians per second, (iii) The linear velocity of the particle is approximately 50.266 meters per second, (iv) The acceleration experimented by the particle is approximately 1263.336 meters per square second.
Explanation:
(i) Let suppose that particle experiments an uniform circular motion. The period ([tex]T[/tex]) of the particle, measured in seconds, is the time needed to complete a revolution, which is determined by this:
[tex]T = \frac{2\pi}{\omega}[/tex]
Where [tex]\omega[/tex] is the angular speed, measured in radians per second.
Let is convert angular speed from revolutions per minute into radians per second:
[tex]\omega = \left(240\,\frac{rev}{min} \right)\times \left(\frac{1}{60}\,\frac{min}{s} \right)\times \left(2\pi\,\frac{rad}{rev} \right)[/tex]
[tex]\omega \approx 25.133\,\frac{rad}{s}[/tex]
The period of the particle is:
[tex]T = \frac{2\pi}{25.133\,\frac{rad}{s} }[/tex]
[tex]T \approx 0.25\,s[/tex]
The period is 0.25 seconds.
(ii) The angular velocity is approximately 25.133 radians per second.
(iii) The linear velocity of the particle ([tex]v[/tex]), measured in meters per second, is found by this expression:
[tex]v = R\cdot \omega[/tex]
Where:
[tex]R[/tex] - Radius, measured in meters.
[tex]\omega[/tex] - Angular velocity, measured in radians per second.
If [tex]R = 2\,m[/tex] and [tex]\omega \approx 25.133\,\frac{rad}{s}[/tex], the linear velocity of the particle is:
[tex]v = (2\,m)\cdot \left(25.133\,\frac{rad}{s} \right)[/tex]
[tex]v \approx 50.266\,\frac{m}{s}[/tex]
The linear velocity of the particle is approximately 50.266 meters per second.
(iv) As particle rotates at constant speed, resultant acceleration ([tex]a[/tex]) is entirely radial and modelled by this expression:
[tex]a = \omega^{2}\cdot R[/tex]
[tex]a = \left(25.133\,\frac{rad}{s} \right)^{2}\cdot (2\,m)[/tex]
[tex]a \approx 1263.336\,\frac{m}{s^{2}}[/tex]
The acceleration experimented by the particle is approximately 1263.336 meters per square second.
If an 8000 kg truck and and a 2000 kg car are moving with the same velocity, which one will have more kinetic energy? why?
Answer: sure the truck with 8000 kg mass
Explanation: use the rule: ke=1/2mv^2
What do atoms and elements have in common?
Answer:
They come in different kinds, called elements, but each atom shares certain characteristics in common. All atoms have a dense central core called the atomic nucleus. ... All atoms have at least one proton in their core, and the number of protons determines which kind of element an atom is.
What is Density? (3-5 sentences or your own word don't copy the
notes)
Answer:
the density makes something float or sink below water its the "water weight "
Explanation:
The weightlifter's internal store of energy decreased when he lifted the bar.
The bar's internal store of energy increased by a smaller amount.
Explain why.
Answer:
The energy returns to the weightlifter's muscles, where it is dissipated as heat.
Explanation:
The energy returns to the weightlifter's muscles, where it is dissipated as heat. As long as the weightlifter controls the weight's descent, their muscles are acting as an overdamped shock absorber, as if the weight were sitting on a piston containing very thick fluid, slowly compressing it downward (and slightly heating up the fluid in the process). Since muscles are complicated biological systems and not simple pistons, they require metabolic energy to maintain tension throughout the controlled descent, so the weightlifter feels like they're putting energy into the weight, even though the weight's gravitational potential energy is being converted into heat within the lifter's muscles.
a toy boat travels 0.2km in 1 minute and 30 seconds calculate the average speed of the toy give your answer to 3 significant figures
Answer:
0.00222km/s
Explanation:
[tex]Distance = 0.2km\\Time = 1\:minute \:30\:seconds = 90\:seconds\\\\Average \:speed =?\\\\Average \:speed = \frac{0.2}{90} \\A.V = 0.002222\\A.V =0.00222[/tex]
QUESTION 1
67.2 kilometers = how many decameters
Answer: the answer should be 6,720 decameters.
Answer:
67.2 kilometers =6720 decamaters
what do I need To do to get a moving object to stop moving ?
Answer:
Force.
Explanation:
SImple as that. think of Newtons Laws.
What would happen to an object that is moving towards the right at a constant speed when you put a force on it towards the left?
Answer & Explanation:
If the resultant force is zero, a moving object towards the right will stay at the same speed. If there is no resultant force then a system is said to be in equilibrium.
If the resultant force is not zero, due to a force towards left of a moving object will slow down - depending on the direction of the resultant force:
it will speed up if the resultant force is in the same direction as the object is moving
it will slow down if the resultant force is in the opposite direction
Please note that the object could also change direction, for example if the resultant force acts at an angle.
Two cars having masses in the ratio 4:5, accelerates in the ratio 2:3. Find the ratio of forces exerted by each of them
Answer:
Force=mass×acceleration.
4:5 for masses , 2:3 for acceleration.
For the first car it will be 4×2=8N
For the second car it will be 5×3=15N
The weight of an object is the product of its mass, mmm, and the acceleration of gravity, ggg (where g=9.8 m/s2g=9.8 m/s2). If an object’s mass is m=10. kgm=10. kg, what is its weight? Express the weight with the appropriate units.
Answer:
98 N
Explanation:
Given that
Mass m = 10 kg
Acceleration due to gravity g = 9.8m/s^2
Where the weight of an object is the product of its mass, and the acceleration of gravity. That is,
W = mg
Substitute all the parameters into the formula
W = 10 × 9.8
W = 98 N
Therefore, the weight of the object is 98 Newton
The atmospheric pressure above a swimming pool changes from 837 to 842 mm of mercury. The bottom of the pool is a rectangle (10 m ⨯ 25 m). By how much does the force on the bottom of the pool increase?
Answer:
Change in force = 1.66 × 10⁵ N
Explanation:
Given:
Initial pressure = 837 mmHg
Final pressure = 842 mmHg
Rectangle (10 m ⨯ 25 m)
Find:
Change in force
Computation:
Change in force = (Change in pressure)(Area)(133 pa / 1 mmHg)
Change in force = (842 - 837)(10 m ⨯ 25 m)(133 pa / 1 mmHg)
Change in force = (166,250)
Change in force = 1.66 × 10⁵ N
Technician A says that the kinetic energy of a vehicle is proportional to its weight. Technician B says that the kinetic energy of a moving vehicle is directly proportional to its speed. Which technician is correct
Answer:
Technician B
Explanation:
The kinetic energy of an object is possessed when it is in motion. It is given by :
[tex]K=\dfrac{1}{2}mv^2[/tex]
m is mass, v is speed
The kinetic energy is directly proportional to its speed. It does not depend on its weight. It would mean that Technician B is correct as he says that "the kinetic energy of a moving vehicle is directly proportional to its speed".
When we get out of the bed on a very cold morning, we feel that the air of the room is cold. But when we come back after staying out for some time, we feel that the air of the same room is warmer. Why is this?
Answer:
This is because the air outside is always cooler than the air inside, so after staying outside your body adapts to the cold air, when you come back inside, the cold air is still in you which makes the room seem warmer.
Please I need your help so fast plsss
Please help ASAP! Thank you :)
The earth's orbit is oval in shape. Explain how the magnitude of the gravitational force between the earth and the sun changes as the earth moves
from position 'A' to 'B' as shown in the figure.
Answer:
magnitude of gravitational force between the Earth and the Sun at B is greater than that at A
Explanation:
Formula of gravitational force:
F = GMm/r^2
(r is the distance between 2 objects)
We see that r(B) < r(A) since at B, the Earth is closer to the Sun than at A
According to the Formula, the smaller r is, the greater F is
So, F(B) > F(A)
What is the name of the force that is acting upwards on the bag of bananas?
ANSWER- I GUESS IT SHOULD BE GRAVITATIONAL FORCE.......
Answer:
GRAVITATIONAL FORCE
30 POINTS
A graph of velocity versus time for an object shows a straight line with positive slope. What does that indicate about the acceleration of the object?
- the acceleration is changing
- the acceleration is zero
- the acceleration is constant and positive
Answer:
B
Explanation:
Answer:
c. the acceleration is constant and positive
Explanation:
A racecar traveling at a velocity of 18.5 m/s, accelerates at a rate of 2.47 m/s2 and covers a distance of 79.78 m. Determine the final velocity of the racecar.
Answer:
The final velocity of the race car is 27.14 m/s
Explanation:
Given;
initial velocity of the race car, u = 18.5 m/s
acceleration of the race car, a = 2.47 m/s²
distance covered by the race car, s = 79.78 m
Apply the following kinematic equation to determine the final velocity of the race car.
v² = u² + 2as
v² = (18.5)² + 2(2.47)(79.78)
v² = 736.363
v = √736.363
v = 27.14 m/s
Therefore, the final velocity of the racecar is 27.14 m/s
k=1/2kx^2
find the value of X
Answer:
x=± 2
=±1.4142
x=0
Explanation: If this does not help then I'm sorry.
STEP
1
:
1
Simplify —
2
Equation at the end of step
1
:
1
k - ((— • k) • x2) = 0
2
STEP
2
:
Equation at the end of step 2
kx2
k - ——— = 0
2
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 2 as the denominator :
k k • 2
k = — = —————
1 2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
3.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
k • 2 - (kx2) 2k - kx2
————————————— = ————————
2 2
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
2k - kx2 = -k • (x2 - 2)
Trying to factor as a Difference of Squares:
4.2 Factoring: x2 - 2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 2 is not a square !!
Ruling : Binomial can not be factored as the difference of two perfect squares.
Equation at the end of step
4
:
-k • (x2 - 2)
————————————— = 0
2
STEP
5
:
When a fraction equals zero
5.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-k•(x2-2)
————————— • 2 = 0 • 2
2
Now, on the left hand side, the 2 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-k • (x2-2) = 0
Theory - Roots of a product :
5.2 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
5.3 Solve : -k = 0
Multiply both sides of the equation by (-1) : k = 0
Solving a Single Variable Equation:
5.4 Solve : x2-2 = 0
Add 2 to both sides of the equation :
x2 = 2
When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:
x = ± √ 2
The equation has two real solutions
These solutions are x = ± √2 = ± 1.4142
Three solutions were found :
x = ± √2 = ± 1.4142
k = 0
Terms and topics
A particle moves with a velocity 1 v 5j 3j 6k ms under influence of a contact force F 10i 10j 20k N. THe instantaneous power applied to the particle is
Answer:
P = 200 W
Explanation:
The expression for the power is
P = W / t
the job
W = F d
we substitute
P = F d / t
P = F. v
We apply this equation to our case where the velocity is
v = (5 i + 3j + 6k) m / s
and the force is
F = (10i + 10j +20 k) N
we substitute in the power equation, remember that the scalar product of the unit vectors is
i.i = j.j = k.k = 1 and the other products are zero
P = 10 5 + 10 3 + 20 6
P = 200 W
Objects fall near the surface of the earth with a constant downward acceleration of 10 m/s2 . At a certain instant an object is moving upward at 20 m/s. What is its velocity 2 sec later?
Answer:
After 2 seconds the velocity of the object is 0 m/s.
Explanation:
The velocity at 2 seconds later can be calculated as follows:
[tex] V_{f} = V_{0} - gt [/tex]
Where:
[tex]V_{f}[/tex]: is the velocity at 2 seconds
[tex]V_{0}[/tex]: is the initial velocity = 20 m/s
g: is the gravity = 10 m/s²
t: is the time = 2 s
Hence, the final velocity is:
[tex] V_{f} = V_{0} - gt = 20 m/s - 10 m/s^{2}*2 s = 0 m/s [/tex]
This value (0 m/s) means that the object has reached the maximum height.
Therefore, after 2 seconds the velocity of the object is 0 m/s.
I hope it helps you!
The statement “A chimpanzee’s diet in November consists of 16% insects” is an example of a(n)
Answer:
quantitive observation
quantitative observation is a data analysis that is objective. It measures research variables using numerics and statistics. It is a method of observation that views research variables in quantity, which is why the values can be counted in something like age, weight, volume, and scale.
Select all the correct locations on the image. Select the volume units that are greater than one liter.
Answer:
N/A
Explanation:
No Image provided
Answer:
there is no picture to help us help you get the answer so please put up a picture.
Explanation:
Measurements such as weight, temperature, time, and length are qualitative observations?
A. true
B. False
Answer:
false
Explanation:qualitative is a word or name that describe a quality of the individual while quantitative is a number or something that can be counted or measured from the individual.
how could the student estimate the average speed in the first 8 hours
Answer:
use this formula
Average Speed = (Total distance)/(Total Time) =
For 1983 through 1989, the per capita consumption
of chicken in the U.S. increased at a
rate that was approximately linear. In 1983,
the per capita consumption was 37.1 pounds,
and in 1989 it was 50 pounds.
Write a linear model for per capita consumption
of chicken in the U.S. Let t represent
time in years, where t = 3 represents
1983. Let y represent chicken consumption in
pounds.
Answer:
y = 43.55 + 2.15t
Explanation:
We were told that in 1983, the per capita consumption was 37.1 pounds, and in 1989 it was 50 pounds.
If we assume t = 0 corresponds to year 1980. Then, for 1983 it will be t = 3 and for 1989,it will be t = 9.
Thus, expressing the information as ordered pairs, we have; (3,37. 1) and (9,50).
Let us now find slope of the linear function:
m1 = (y2 - y1)/(t2 - t1)
m1 = (50 - 37.1)/(9 - 3)
m1 = 2.15
So, we can find the linear equation as;
y - 37.1 = 2.15(t - 3)
y = 37.1 + 2.15t - 6.45
y = 43.55 + 2.15t
Of the following, who is the first female to earn a doctoral degree in psychology in the United States? A. Mary Whiton Calkins B. Leta Stetter Hollingworth C. Margaret Floy Washburn D. Francis C. Sumner Please select the best answer from the choices provided
Answer:
c
Explanation:
i got it rigth on the quiz
What is the gradual process through which humans change from birth to
adulthood?
Answer:
Growth and Development
4,000 hg + 5,000 g = ____________ g?
Answer:
405000 g
Explanation:
1hg(hectogram)=100g
Therefore,
400000g+5000g=405000 g
A skydiver accelerates from 20 m/s to 40 m/s in 2 seconds. What is the skydiver's average acceleration?
Answer: 10m/s²
Explanation: Acceleration= (v-u)/t
So here it’s (40-20)/2
Which is equal to 10