Answer:
4.5s
Explanation:
u=30m/s
v=50m/s
s=180m
a=constant(given)
By third equation of motion, v
2
=u
2
+2as
(50)
2
=(30)
2
+2a(180)
a=
3
40
m/s
2
By first equation of motion, v=u+at
50=30+(
9
40
)t
t=
2
9
=4.5sec
A 1400 kg car traveling in the positive direction takes 11.0 seconds to slow from 25.0 meters per second to 12.0 meters per second. What is the average force on the car during this time?
Answer:
–1652 N. The negative sign indicate that the force is in opposite direction to car.
Explanation:
The following data were obtained from the question:
Mass (m) of car = 1400 kg
Time (t) = 11 s
Initial velocity (u) = 25 m/s
Final velocity (v) = 12 m/s
Force (F) applied on the car =?
Next, we shall determine the acceleration of the car. This can be obtained as follow:
Time (t) = 11 s
Initial velocity (u) = 25 m/s
Final velocity (v) = 12 m/s
Acceleration (a) =?
a = (v – u) /t
a = (12 – 25) /11
a = –13/11
a = –1.18 m/s²
Finally, we shall determine the force on the car as follow:
Acceleration (a) = –1.18 m/s²
Mass (m) of car = 1400 kg
Force (F) applied on the car =?
F = ma
F = 1400 × –1.18
F = –1652 N
Thus, the force on the car is –1652 N. The negative sign indicate that the force is in opposite direction to car.
For a given centrifugal pump, if the speed of rotation of the impeller is cut in half, how does the power required to drive the pump change
Answer:
The power required to drive the pump is reduced in [tex]\frac{1}{8}[/tex].
Explanation:
From Turbomachinery, we find that power required to drive the pump ([tex]\dot W[/tex]) is directly proportional to the cube of the speed of rotation of the impeller ([tex]\dot n[/tex]). That is:
[tex]\dot W \propto \dot n^{3}[/tex]
[tex]\dot W = k\cdot \dot n ^{3}[/tex] (Eq. 1)
Where [tex]k[/tex] is the proportionality constant.
And now we eliminate the proportionality constant by constructing the following relationship:
[tex]\frac{\dot W_{B}}{\dot W_{A}} = \left(\frac{\dot n_{B}}{\dot n_{A}}\right)^{3}[/tex] (Eq. 2)
If we know that [tex]\frac{\dot n_{B}}{\dot n_{A}} = \frac{1}{2}[/tex], then:
[tex]\frac{\dot W_{B}}{\dot W_{A}} = \frac{1}{8}[/tex]
The power required to drive the pump is reduced in [tex]\frac{1}{8}[/tex].
If you jump upward with a speed of 1.70 m/s how high will you be when you stop rising?
Answer:
How long do you jump (sec) ?
Explanation:
Leoni is participating in four drawing competitions. If the probability of her losing any
drawing competition is 0.7, find the probability of her winning
a) at least one competition.
b) exactly two competitions.
Answer:
(a) [tex]Probability = 0.7599[/tex]
(b) [tex]Probability = 0.2646[/tex]
Explanation:
Represent losing with L and winning with W.
So:
[tex]L = 0.7[/tex] --- Given
[tex]n = 4[/tex]
Probability of winning would be:
[tex]W = 1 - L[/tex]
[tex]W = 1 - 0.7[/tex]
[tex]W = 0.3[/tex]
The question illustrates binomial probability and will be solved using the following binomial expansion;
[tex](L + W)^4 = L^4 + 4L^3W + 6L^2W^2 + 4LW^3 + W^4[/tex]
So:
Solving (a): Winning at least 1
We look at the above and we list out the terms where the powers of W is at least 1; i.e., 1,2,3 and 4
So, we have:
[tex]Probability = 4L^3W + 6L^2W^2 + 4LW^3 + W^4[/tex]
Substitute value for W and L
[tex]Probability = 4 * 0.7^3*0.3 + 6*0.7^2*0.3^2 + 4*0.7*0.3^3 + 0.3^4[/tex]
[tex]Probability = 0.7599[/tex]
Hence, the probability of her winning at least one is 0.7599
Solving (a): Wining exactly 2
We look at the above and we list out the terms where the powers of W is exactly 2
So, we have:
[tex]Probability = 6L^2W^2[/tex]
Substitute value for W and L
[tex]Probability = 6*0.7^2*0.3^2[/tex]
[tex]Probability = 0.2646[/tex]
Hence, the probability of her winning exactly two is 0.2646
he triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional boxer exerts a force of 2.00 103 N with an effective perpendicular lever arm of 2.80 cm, producing an angular acceleration of the forearm of 145 rad/s2. What is the moment of inertia of the boxer's forearm
Answer:
Moment of inertia = 0.3862kg-m²
Explanation:
2.00x10³
2.80cm
145 rad
r = r⊥ x F
F is an applied force
r⊥ is the distance between the applied force and axis
Force exerted = 2.00x10³
r⊥ = 2.8cm = 0.028m
Alpha = 145rad/s²
r = 0.028m x 2.00x10³
r = 56.0N-m
To get the moment of inertia
56.0N-m² = (145rad/s²) x I
The I would be:
I = (56.0N-m²)/(145rad/s²)
I = 56/145
= 0.3862Kg-m²
This is the moment of inertia.
Thank you!
How much work is required to stretch a spring 0.133 m if its force constant is 9.67 N/m?
Answer:
refer to attachment
Explanation:
hope it will helps u
Answer: 5cm
Explanation:
The most commonly accepted theory of muscle growth states that ______________ ________ within a muscle activate a(n) ________________ response process that causes dormant cells to build and regenerate muscle tissue.
A. contractions; inhibitory
B. tension; neurological
C. microscopic tears; inflammatory
D. stress; cytokines
Answer:
C
Explanation:
The most commonly accepted theory of muscle growth states that microscopic tears within a muscle activate an inflammatory response process that causes dormant cells to build and regenerate muscle tissue; this is option c.
What is the significance of the microscopic tears in muscle?It has negative consequences on the muscle, and it is also known as "microtrauma," which occurs as a result of muscle contraction and is a normal part of the muscle repair and growth process. Here, the fibers in the muscle are damaged, and in response, the body initiates a repair process. This leads to muscle growth and increased strength and is helpful for muscle repair.
Hence, the most commonly accepted theory of muscle growth states that microscopic tears within a muscle activate an inflammatory response process that causes dormant cells to build and regenerate muscle tissue; this is option c.
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what causes diffferent air density?
Answer:
The temperature and gravity both affects the density
1. Newton's 3rd Law states...
a. Objects in motion stay in motion and objects at rest stay at rest
b. Force is equal to mass times acceleration
c. For each action there is an equal and opposite reaction
Answer:
C
Explanation:
There's a reason newton's 3rd law is called action-reaction :D
A - 1st law/inertia
B - 2nd law/f=ma
Newton's third law of motion states that for each action there is an equal and opposite reaction or force. Thus, the correct option is C.
What is Newton's third law of motion?Newton's third law of motion states that for every action or force applied in nature there is an equal and opposite reaction or force.
According to Newton's third law of Motion, if an object A exerts a force on the object B, then the object B must exert a force which is of equal magnitude and opposite direction back on the object A. This law represents symmetry in nature with the forces which are always occur in pairs, and one body cannot exert a force which is on another object without experiencing a force itself.
Therefore, the correct option is C.
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If the velocity of Homer the astronaut (mass =200 kg) is 5 m/s and he runs into and grabs his stationary pal Larry (mass = 150 kg), what is the new velocity of the astronauts after the collision?
We are given:
Homer the Astronaut:
Mass of Homer the astronaut(m1) = 200 kg
initial velocity of Homer the astronaut(u1) = 5 m/s
Larry the Pal:
Mass of Larry the Pal (m2) = 150 kg
initial velocity of Larry the Pal (u2) = 0 m/s
Since they will move together after the collision, they will have the same velocity:
v1 = v2 = V
Solving for the Final velocity:
from the law of conservation of momentum:
m1u1 + m2u2 = m1v1 + m2v2
since v1 = v2 = V:
m1u1 + m2u2 = V(m1 + m2)
replacing the variables with the given values
200 * 5 + 150 * 0 = V(200 + 150)
1000 = 350V
V = 1000 / 350
V = 2.86 m/s
At its peak, a tornado is 74.0 m in diameter and carries 335-km/h winds. What is its angular velocity in revolutions per second?
Answer:
0.399 rev/s
Explanation:
Given that,
The diameter of a tornado, d = 74 m
Radius, r = 37 m
Linear velocity, v = 335 km/h = 93.05 m/s
We need to find the angular velocity in revolutions per second. Let it is [tex]\omega[/tex]. The relation between angular velocity and linear velocity is as follows :
[tex]v=r\omega\\\\\omega=\dfrac{v}{r}\\\\\omega=\dfrac{93.0556}{37}\\\\\omega=2.51\ rad/s[/tex]
or
[tex]\omega=\dfrac{2.51}{2\pi}\\\\\omega=0.399\ rev/s[/tex]
So, the angular velocity of the blade is 0.399 rev/s.
When were Earth’s landmasses first recognizable as the continents we know today? 10 million years ago 135 million years ago 180 million years ago 300 million years ago
Answer:
b
Explanation:
i took the test
Earth’s landmasses were first recognized as the continents we know today
135 million years ago.
Landmass is defines as a large area of land. It can also be referred to as the
continents we have today. There are seven types of earth landmasses and
they are
Asia, Africa, North America, South America, Antarctica, Europe, and Australia.They were first discovered around 135 million years ago by the early
dwellers of the earth.
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What is the largest planet in our galaxy
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What torque is applied to Dead or Alive as they are spun right round? Assume their radius (all together) is 0.53 m. Answer in N-m.
Answer:
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8
Explanation:
The torque applied will be the average of the 3 torque calculated.
Torque = 12.01 Nm
Torque of a couple is the product of a force and its perpendicular distance to the direction of the force. Torque is synonymous to moment.
From the question, the given radius is 0.53m. The perpendicular distance for each torque will be 2 x 0.53 = 1.06 m
We will calculate for each torque
T1 = F1d
T1 = 8 x 1.06 = 8.48 Nm
T2 = F2d
T2 = 15 x 1.06 = 15.9 Nm
T3 = F3d
T3 = 11 x 1.06 = 11.66 Nm
The torque applied will be the average of the 3 torque calculated. That is,
Torque = (8.48 + 15.9 + 11.66)/3
Torque = 36.04 /3
Torque = 12.01 Nm
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what is the relevant similarity of the following argument?
"Tolerating a vicious dictator is like tolerating a bully on the block. If you let the bully push you around, sooner or later he will beat you up and take everything you have. If you let a dictator have his way, he will abuse his people and rob them of life and liberty. If you stand up to the bully just once or- better yet- knock him senseless with a stick, he will never bother you again. LIkewise, if you refuse to be coerced by a dictator or if you attack him, his reign will be over. Therefore, the best course of action for people oppressed by a dictator is to resist and attack."
a.
there are no relevant similarities
b.
tolerating a bully or dictator leads to further abuse
c.
the best course of action for people oppressed by a dictator is to resist and attack.
20 points - Help me please with explanation of (A) and (B)
(a)to find voltage of battery we use the wire containg 4 ohm resistor and 3 ohm resistor
the voltage of 4ohm = Ri=4x1.5=6V
the voltage of 3 ohm = Ri=3x1.5=4.5v
since voltage is additive in series then Voltage of batteries = 4.5+6=10.5V
(b) the currrent flowing in 20 ohm resistor is the same as 8 ohm resistor so
Voltage of 8 ohm + voltage of 20 ohm= 10.5
8i+20i=10.5
28i=10.5
i=0.375 A
Sustained exercise that increases heart and lung fitness; may also alleviate depression and anxiety is called anaerobic exercise? True or false
Answer:
False
Explanation:
The diagram shows the four primary steps in the production of work in a four-stroke heat engine.
What is the correct order in which these steps occur?
A. Y, W, X, z
B. X, Z, W. Y
C. W, X, Y, Z
D. Z, X, Y, W
Answer:
D- Z, X, Y, W
Explanation:
Correct on edge
If you can run 10.43 m in 14.22 s. How fast are you running?
Answer:
I am 15th in my state for 55m hurdles with a time of 10.4 seconds
Explanation:
BAM
Answer: 44 m per minute
Explanation:
HELP!!! An object accelerates from rest to 85 m/s over a distance of 36 m. What acceleration did it
experience?
Answer:
Explanation:
Given:-
Initial velocity (u) = 0m/s
Final velocity (v) = 85m/s
Distance covered (s) = 36m
To Find:-
Acceleration of the object (a)
Solution:-
By using 3rd equation of motion
→ v² = u² +2as
Substitute the value we get
→ 85² = 0² +2×a×36
→ 7225 = 0 + 72 ×a
→ a = 7225/72
→ a = 100.34m/s²
∴ The acceleration of the object is 100.34m/s²
Additional Information!!
The rate of change of velocity at per unit time is called acceleration .
✧ SI unit of acceleration is m/s²
✧ It is vector Quantity ( both magnitude and directio
Fossils remains of Cynognathus , a triassic land reptile, have been found at both South America And Africa . What does this imply?
A. these continents used to be connected and later moved apart
B . People can find really cool fossils in random locations
C . the Cynognathus reptile evolved independently on 2 separate continents
D . the Cynognathus is found on both continents because it swam across the ocean
The discovery of fossils remains of Cynognathus at both South America And Africa suggests that these continents used to be connected and later moved apart.
What is the continental drift theory?According to continental drift theory:
"All of the continents were once together as a single continent named Pangaea, which was surrounded by a Mega Ocean known as Panthalassa."
Who proposed this theory?The continental drift theory was first proposed by Abraham Ortelius in 1596, and Alfred Wegener developed it in 1912.
If continental drift had not occurred what would be the explanation?On distinct continents, the species evolved independently. orTo form a second population, they swam to the opposite continent in breeding pairs.To learn more about fossils, continents, continental drift, and Pangaea here,
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significance of practicals in the discipline of geography
Suppose an empty grocery cart rolls downhill in a parking lot. The cart has a maximum speed of 1.3 m/s when it hits the side of the store and comes to rest 0.30 s later. If an unbalanced force of —65 N stops the cart, what is the mass of the grocery cart?
The cart comes to rest from 1.3 m/s in a matter of 0.30 s, so it undergoes an acceleration a of
a = (0 - 1.3 m/s) / (0.30 s)
a ≈ -4.33 m/s²
This acceleration is applied by a force of -65 N, i.e. a force of 65 N that opposes the cart's motion downhill. So the cart has a mass m such that
-65 N = m (-4.33 m/s²)
m = 15 kg
1. Two forces F~
1 and F~
2 are acting on a block of mass m=1.5 kg. The magnitude of
force F~
1 is 12N and it makes an angle of θ = 37◦ with the horizontal as shown in
figure-1. The block is sliding at a constant velocity over a frictionless floor.
Figure-1
(a) Find the value of the normal force on the block.
[3 marks]
(b) Find the magnitude of force F~
2 that is acting on the block
[4 marks]
(c) Find the magnitude of force F~
2 if the block accelerates with a magnitude of
a = 2.5 m/s2 along the direction of F~
2 . [3 mark
Answer:
(a) Normal force=7.48 N
Explanation:
N+F~1 sinθ-mg=0
=>N=1.5*9.8-12 sin37◦
=>N=14.7-7.22=7.48 N
If the_____of a wave increases, its frequency must decrease.
a. period
b. energy
c. amplitude
d. velocity
Answer:wrong. Jts not velocity. Its period.
Explanation:
Took the test
HELP ASAP!!
The table below lists protected constitutional rights and how they may be limited.
Protected Rights Limitations
Property rights ?
Unwarranted search and seizure Crime suspects may be searched
Which phrase completes the table? (3 points)
Group of answer choices
Poll taxes
Eminent domain
Jury trial
Background checks
Answer:
jury trial
Explanation:
rights to a fair trial by jury, or the whole innocent until proven guilty ya know
A golf ball (m=26.7g) is struck a blow that makes an angle of 33.6 degrees with the horizontal. The drive lands 190m away on a flat fairway. The acceleration of gravity is 9.8 m/s^2 . If the golf club and ball are in contact for 7.13 ms, what is the average force of impact?
Answer:
Th average force impact is [tex]F = 168.298 \ N[/tex]
Explanation:
From the question we are told that
The mass of the golf ball is [tex]m_g = 26.7 \ g = 0.0267 \ kg[/tex]
The angle made is [tex]\theta = 33.6 ^o[/tex]
The range of the golf ball is [tex]R = 190 \ m[/tex]
The duration of contact is [tex]\Delta t = 7.13 \ ms = 7.13 *10^{-3} \ s[/tex]
Generally the range of the golf ball is mathematically represented as
[tex]R = \frac{v^2 sin2(\theta)}{g}[/tex]
Here v is the velocity with which the golf club propelled it with, making v the subject
[tex]v = \sqrt{\frac{R * g}{sin 2 (\theta)} }[/tex]
=> [tex]v = \sqrt{\frac{190 * 9.8}{sin 2 (33.6)} }[/tex]
=> [tex]v = 44.94 \ m/s[/tex]
Generally the change in momentum of the golf ball is mathematically represented as
[tex]\Delta p = m * (v - u )[/tex]
here u is the initial velocity of the ball before being stroked and the value is 0 m/s
[tex]\Delta p = 0.0267 * ( 44.94 - 0 )[/tex]
=> [tex]\Delta p = 1.19996 \ kg \cdot m/s[/tex]
Generally the average force of impact is mathematically represented as
[tex]F = \frac{\Delta p }{\Delta t}[/tex]
=> [tex]F = \frac{1.19996 }{7.13 *10^{-3}}[/tex]
=> [tex]F = 168.298 \ N[/tex]
A Spring is pulled to 10cm and held in place with a force of 500N .what is the spring constant
We are given:
extension of the spring (x) = 10 cm OR 0.1 m
Force applied to keep it in position (F) = 500 N
Solving for the spring constant:
We know that F = kx (when the spring is extended)
replacing the variables with the given values
500 = k * 0.1
k = 5000 N/m
This means that to extend the spring by 1 m, we have to apply a force of 5000 N
three properties of an ideal fluid that obey Bernoulli’s principle
Answer:
Bernoulli's theorem, in fluid dynamics, relation among the pressure, velocity, and elevation in a moving fluid (liquidor gas), the compressibility and viscosity (internal friction) of which are negligible and the flow of which is steady, or laminar.
Three properties of an ideal fluid that obey Bernoulli’s principle are :
1) incompressible
2) subjected to conservative forces
3) non - viscous
What is Bernoulli's principle ?Bernoulli's principle states that as the speed of moving fluid increases , the pressure within fluid decreases or it states that if the fluid flows horizontally so that no change in gravitational potential energy occurs, then a decrease in fluid pressure is associated with an increase in fluid velocity.
As we know that Bernoulli's principle is only valid for ideal fluids which have following properties :
1) Should be incompressible
2) subjected to conservative forces
3) It should be non - viscous which means there is no internal friction in the flow .
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