The velocity of the gazelle after 2 seconds is equal to 11.3 m/s.
What is the equation of motion?The equations of motion have described the relationship between the time, velocity, acceleration, and displacement of a moving object.
The equations of motions can be described as shown below:
[tex]v = u + at\\S = ut +\frac{1}{2}at^2 \\ v^2-u^2 = 2aS[/tex]
Given the mass of the gazelle, m = 25.2 Kg
The force acting to accelerate, F = 113N
The acceleration in the speed of gazelle is given by: a = F/m
a = 113/ 25.2
a = 4.48 m/s²
The initial speed of the gazelle, u = 2.33 m/s
From the first equation of motion we can calculate the final velocity of the gazelle:
v = u + at
v = 2.33 + (4.48) (2)
v = 11.3 m/s
Therefore, the velocity of the gazelle 2 seconds later is 11.3 m/s.
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The rigid beam is supported by the three suspender bars. bars ab and ef are made of aluminum and bar cd is made of steel. if each bar has a cross-sectional area of 450 mm2, determine the maximum value of p if the allowable stress is (σallow)st = 200 mpa for the steel and ( σallow)al = 150 mpa for the aluminum. est = 200 gpa and eal = 70 gpa.
Answer:
Pmax = 67.5 KN
Explanation:
We need to calculate the maximum allowable value of P for both aluminum and steel bars.
FOR STEEL BARS:
Since,
(σallow)st = (Pmax)st/A
where,
(σallow)st = maximum allowable stress of steel bar = 200 MPa = 2 x 10⁸ Pa
A = Cross-sectional area of steel bar = 450 mm² = 0.45 x 10⁻³ m²
(Pmax)st = Maximum allowable force for steel bar = ?
Therefore,
2 x 10⁸ Pa = (Pmax)st/0.45 x 10⁻³ m²
(Pmax)st = (2 x 10⁸ Pa)(0.45 x 10⁻³ m²)
(Pmax)st = 9 x 10⁴ N = 90 KN
FOR Aluminum BARS:
Since,
(σallow)al = (Pmax)al/A
where,
(σallow)al = maximum allowable stress of Al bar = 150 MPa = 1.5 x 10⁸ Pa
A = Cross-sectional area of Aluminum bar = 450 mm² = 0.45 x 10⁻³ m²
(Pmax)al = Maximum allowable force for Aluminum bar = ?
Therefore,
1.5 x 10⁸ Pa = (Pmax)al/0.45 x 10⁻³ m²
(Pmax)al = (1.5 x 10⁸ Pa)(0.45 x 10⁻³ m²)
(Pmax)al = 6.75 x 10⁴ N = 67.5 KN
Since,
(Pmax)al < (Pmax)st
Therefore,
The maximum allowable force will be:
Pmax = (Pmax)al
Pmax = 67.5 KN
who is better drake or juice world
Answer:
neither
Explanation:
they both suck :)
Have a great day
Answer:
Both of them
Explanation:
They are both better you can't choose because its like parents choosing who is their favorite child.
A thug pushes some 100 kg punk with 300 N of force. How much is the punk accelerated?
Answer:
Acceleration generate by punk = 3 m/s²
Explanation:
Given:
Weight of punk = 100 Kg
Force applied on punk = 300 N
Find:
Acceleration generate by punk = ?
Computation:
Acceleration = Force / Mass
Acceleration generate by punk = Force applied on punk / Weight of punk
Acceleration generate by punk = 300 N / 100 Kg
Acceleration generate by punk = 3 m/s²
mix 4 L of 30°C water is 6 L of 40°C water and you’ll have water at what temperature?
Answer:
dont know
Explanation:
need points
A potential difference of 24 V is applied to a 150-ohm resistor. How much current flows through the resistor?
Given :- A resistor of 150 ohm, hence Resistance (R) = 150 ohm
Potential Difference (v) = 24 V
Current (I) = ?
V = IR
24 = I × 150
I = 24/150
I = 0.16 ampere
hope it helps!
If the electrons in an atom were stationary, they would be ___ the nucleus
Answer:
Matter in the universe is made up of atoms, particles if electrons were to be stationary, they would have fallen into the nucleus because of electrostatic force acting on them destroying very existence of an atom we know.
Which of the following are two factors that determine speed?
a. acceleration and time
b. distance and time
c. velocity and time
d. motion and time
Answer:
B) Distance and Time
Explanation:
Equation for speed: S = D / T
Speed equals the distance you traveled divided by the amount of time it took to get to that destination.
The two factors which are required to determine the speed of a object are distance traveled by it and time taken by it.
What is speed?The speed is the rate at which the total distance by a object is traveled in the time taken.
Speed of a object can be given as,
[tex]s=\dfrac{d}{t}[/tex]
Here, (d) is the distance traveled by the object and (t) is time taken but the object to cover that distance.
As the unit of the distance is measured in the meter and the time measure in the second. Thus the speed of a object is measured in the meter per second.
In the vehicles the speed of vehicle is also measured in the kilometre per hour or miles per hour.
Hence, the two factors which are required to determine the speed of a object are distance traveled by it and time taken by it.
Thus the option B is the correct option.
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In a step down transformer, voltage steps down. What factor must go up?
Answer:
A transformer that increases the voltage from primary to secondary (more secondary winding turns than primary winding turns) is called a step-up transformer. Conversely, a transformer designed to do just the opposite is called a step-down transformer.
Explanation:
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This diagram shows a baseball’s motion. Which statement is best supported by the diagram?
a
Maximum Gravitational potential energy is at point R.
b
Kinetic energy becomes potential energy between points P and Q.
c
Kinetic energy becomes potential energy between points R and S.
d
Maximum kinetic energy is at point R.
Answer:
A
Explanation:
maximum gravitional potential energy is at point R
Which energy output objects work with the turbine?
What is motion ,terms used to measure motion ,examples etc
Answer:
A physic term
Explanation:
Answer:
Cambio de lugar o de posición de un cuerpo en el espacio.
Explanation:
A pendulum is swinging back and forth with a period of 2.0 seconds here on Earth. This pendulum is then brought to the Moon, where the acceleration due to gravity is much smaller. What will happen to the period of the pendulum, assuming everything else about it (mass, length, initial swing height, etc) remains exactly the same
Answer: The period will be larger, with T = 4.92 seconds
Explanation:
The period of a pendulum can be obtained by the equation
T = 2*pi*√(L/g)
Where pi = 3.14, L = lenght of the pendulum and g = gravity acceleration.
You can see that the gravitational acceleration is on the denominator, this means that if we decrease the value of g, then the value of T will increase.
In Earth we have that:
2s = 2*3.14*√(L/9.8m/s^2)
L = (1/3.14)^2*9.8 m = 1m
In the moon we have g = 1.62 m/s^2
then the period in the moon is:
T = 2*3.14√(1/1.62) = 4.92s
A man can lift a mass of 200kg onThe surface of the earth. what is the amount of mass he can lift on the surface of the moon?
Answer:
1,211.1 kg.
Explanation:
the force of gravity is less on the moon than on earth, so if the man can lift 200kg on earth, he could lift a greater amount on the moon because there is less resistance from gravity.
To know the amount of mass he can lift on the moon, we first need to know the amount of weight that is equivalent to those 200kg here on earth. This because the weight of the object is equal to the force that must be applied to lift it, and that force is applied by the man and it will be the same here and on the moon.
We calculate weight using the formula:
[tex]w=mg[/tex]
where [tex]w[/tex] is the weight of the object (the force with which the earth attracts the object) [tex]m[/tex] is the mass and g the acceleration of gravity.
so
[tex]w=200g[/tex]
for earth the acceleration due to gravity is: [tex]g=9.81m/s^2[/tex]
thus:
[tex]w=(200kg)(9.81m/s^2)\\w=1962N[/tex]
now we use this value to calculate the mass he can lift on the moon, since for the moon [tex]g=1.62m/s^2[/tex].
we use the same equation, w =mg substituting w = 1962N and [tex]g=1.62m/s^2[/tex]:
[tex]w=mg\\\\1962N=m(1.62m/s^2)\\\\m=\frac{1962N}{1.62m/s^2}\\\\ m=1,211.1kg[/tex]
he can lift 1,211.1 kg.
You can also find the result using the approximate value of the acceleration of gravity on the moon as g/6, where g is the acceleration on earth.
Which happens during the day at the beach?
A. The water is warmer than the land, and air sinks over the water
B. The water is cooler than the land, and air sinks over the water
C. The water is warmer than the land, and air rises over the water
D. The water is cooler than the land, and air rises over the water
Answer:
c
Explanation:
not sure i think heating beach
An air-track glider attached to a spring oscillates between the 10.0 cm mark and the 61.0 cm mark on the track. The glider completes 11.0 oscillations in 31.0 s
Answer:
T = 2.82 seconds.
The frequency [tex]\mathbf{f = 0.36 \ Hz}[/tex]
Amplitude A = 25.5 cm
The maximum speed of the glider is [tex]\mathbf{v = 56.87 \ rad/s}[/tex]
Explanation:
Given that:
the time taken for 11 oscillations is 31 seconds ;
SO, the time taken for one oscillation is :
[tex]T = \frac{31}{11}[/tex]
T = 2.82 seconds.
The formula for calculating frequency can be expressed as :
[tex]f = \frac{1}{T}[/tex]
[tex]f = \frac{1}{2.82}[/tex]
[tex]\mathbf{f = 0.36 \ Hz}[/tex]
The amplitude is determined by using the formula:
[tex]A = \frac{d}{2}[/tex]
The limits that the spring makes the oscillations are from 10 cm to 61 cm.
The distance of the glider is, d = (61 - 10 )cm = 51 cm
Replacing 51 for d in the above equation
[tex]A = \frac{51}{2}[/tex]
A = 25.5 cm
The maximum speed of the glider is:
[tex]v = A \omega[/tex]
where ;
[tex]\omega = \frac{2 \pi}{T}[/tex]
[tex]\omega = \frac{2 \pi}{2.82}[/tex]
[tex]\omega = 2.23 \ rad/s[/tex]
[tex]v = A \omega[/tex]
[tex]v = 25.5 *2.23[/tex]
[tex]\mathbf{v = 56.87 \ rad/s}[/tex]
Which structure connects muscles to bone?
Answer: tendons connect muscles to bones
Explanation:
2. A new racecar track is being created, and the owners want the cars to complete 10
miles in 7 laps. What does the diameter of the track have to be to meet their
requirements?
Answer:
0.45 miles
Explanation:
since, car will be running on the edge of track, distance covered in one lap by car will be equal to circumference of track.\
we will use value of pi as 22/7
Circumference for any circular shape is given by [tex]\piD[/tex][tex]\pi D[/tex]
Hence, in one lap [tex]\pi D[/tex] distance will be covered
in 7 laps [tex]7 \pi D[/tex] distance will be covered.
but is given that 7 laps should be equal to 10 miles
so 10 miles will be equal to [tex]7\pi D[/tex]
[tex]7\pi D= 10 \ miles\\=> 7*(22/7)* D= 10 \ miles\\=> 22D = 10 \ miles\\=> D = 10/22 \ miles\\=> D = 0.45 \ miles[/tex]
Thus, diameter of track will be 0.45 miles to meet the requirement.
A 1200 kg car accelerates from 13m/s to 17m/s. find the change in momentum of the car?
Answer:
4800
Explanation:
The change in velocity of the car is 17-13=4m/s. Since the change in momentum is the mass multiplied by the change in velocity, the answer is 4*1200=4800. Hope this helps!
Given:
Mass,
m = 1200 kgChange in velocity,
Δv = 17-13= 4 m/s
Now,
The change in momentum is:
= [tex]Mass\times Change \ in \ velocity[/tex]
= [tex]1200\times 4[/tex]
= [tex]4800[/tex]
Thus the above answer is correct.
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what is the function of strong nuclear forces
Answer:
The strong force binds quarks together in clusters to make more-familiar subatomic particles, such as protons and neutrons. It also holds together the atomic nucleus and underlies interactions between all particles containing quarks
Explanation:
PLEASE GIVE ME BRAINLIEST IF NEW IT SHOULD SAY MARK AS BRAINLIEST IF NOT YOULL HAVE TO WAIT A DAY AND BRAINLY WILL REMIND YOU
Examples of pure substances are elements and _________.
A. Mixtures
B. Compounds
Answer:
b
Explanation:
Answer:
b
Explanation:
trust
Choose the best definition for velocity
1. How fast something is going
2. Speed in a certain direction
3. Which direction something is going
4. Something speeding up
explain nuclear fusion briefly
Answer:
Nuclear fusion is the process in which two atomic nuclei are fused together into a larger single nucleus, releasing energy in the process. ... In proton-proton fusion, four hydrogen atoms are fused into a single helium-4 atom, releasing a lot of energy in the process.
Explanation:
Se tienen 2 vectores cuyos módulos están en la misma razón que 5 y 2. Si cuando forman 53º su resultante mide 3√29u, ¿Cuánto mide el mayor vector?
Answer:
|v2| = 3.27
Explanation:
You have two vector v1 and v2. The relation between the magnitudes of both vectors is given by:
[tex]\frac{|v_1|}{|v_2|}=\frac{5}{2}[/tex]
Furthermore, the projection (the dot product) of one vector on the other one is given by the following formula:
[tex]v_1 \cdot v_2 = |v_1||v_2|cos\theta[/tex]
The dot product between v1 and v2 is 3√29. If you multiply the right hand side of the last equation by |v2|/|v2| you obtain:
[tex]3\sqrt{29}=\frac{|v_1|}{|v_2|}|v_2|^2cos(53\°)[/tex]
you do |v2| the subject of the formula:
[tex]|v_2|=\sqrt{\frac{|v_2|}{|v_1|}\frac{3\sqrt{29}}{cos53\°}}\\\\|v_2|=\sqrt{\frac{2}{5}\frac{3\sqrt{29}}{cos53\°}}=3.27[/tex]
What has an ionised atom lost or gained?
Protons
Gamma Rays
Electrons
Neutrons
Answer:
Electrons
Explanation:
Ionised atoms loose and gain electrons.
hope it helps!
What causes atoms to bond together
?!?
Answer:
electrostatic attraction
Explanation:
Atoms form chemical bonds with other atoms when there's an electrostatic attraction between them. This attraction results from the properties and characteristics of the atoms' outermost electrons, which are known as valence electrons.
30
. Which of the following represents the
statement "The difference of two square
numbers is positive
Answer:
In mathematics, the difference of two squares is a squared (multiplied by itself) number subtracted from another squared number. Every difference of squares may be factored according to the identity. in elementary algebra.
Explanation:
A rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a magnetic field with a strength of 0.40 T. The length of the loop L is 0.16 m and its width w is 0.040 m. What is the magnetic flux through the loop when the plane of the loop is perpendicular to the magnetic field?
Explanation:
hope this helps you...........
The magnetic flux through the loop when the plane of the loop is perpendicular to the magnetic field is 0.0256 Weber.
What is magnetic field?The magnetic field is the region of space where a charged object experiences magnetic force when it is moving.
The formula for magnetic flux is given as;
φ = BAcosθ
Given, a rectangular loop of wire that can rotate about an axis through its center is placed between the poles of a magnet in a magnetic field with a strength of 0.40 T. The length of the loop L is 0.16 m and its width w is 0.040 m.
Area of the loop = L x w
A = 0.16 x 0.040 m
A = 0.0064 m²
So, flux will be
φ = 0.4 x 0.0064 x cos90°
φ = 0.00256 Wb
Thus, magnetic flux through the loop when the plane of the loop is perpendicular to the magnetic field is 0.0256 Weber.
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Un semáforo de 80N cuelga del punto medio de un cable de 30m tendido entre 2 postes. Halle la tensión en cada segmento del cable si éste tiene un pandeo que lo hace descender una distancia vertical de 1m
Answer:
T1 = T2 = 602.33 N
Explanation:
I attached an image of the forces diagram below.
The x component of the forces for this cases is:
[tex]\Sigma F_x=T_1cos\theta-T_2cos\theta=0\\\\T_1cos\theta=T_2cos\theta\\\\T_1=T_2[/tex]
And the y components:
[tex]\Sigma F_y=T_1sin\theta+T_2sin\theta-W=0\\\\T_1=T_2=T\\\\\Sigma F_y=2Tsin\theta=W\\\\T=\frac{W}{2sin\theta}[/tex]
The angle is calculated by using the information about the length of the cable and the vertical distance of the traffic light:
[tex]\theta=tan^{-1}(\frac{1}{15})=3.81\°[/tex]
Thus, you obtain:
[tex]T=\frac{80N}{2(sin3.81\°)}=601.33N[/tex]
hence, the tension in both segments of the cable is 602.33 N
Heat pumps move heat from __________ to __________ areas & REQUIRES energy. *
A. cold, hot
B. hot, cold
What is the electrical power when the current is 20 amps and the voltage is 15 volts? *
A. 35 watts
B. 1.33 watts
C. 300 watts
Work is a transfer of matter. *
A. True
B. False
The passage helps the reader to draw conclusions about which character's perspective? ºAlec ºAlice ºAlec's father ºAlec's mother
Answer:
I think it might be A: Alec but tell me if I'm wrong
Explanation:
Answer:
a
Explanation:
i did it on e d g e n u i t y
