Answer:
The answer should be C
Explanation:
If the initial velocity of a ball is sent straight upward at 10.5m/s from the ground what will its final velocity be when it hits the ground at the end of its flight?
Answer: -10.08 m/s
Explanation:
Here we only need to analyze the vertical problem.
When the ball is in the air, the only force acting on it will be the gravitational force, this means that the acceleration of the ball, is equal to the gravitational acceleration, then:
a(t) = -9.8m/s^2
Where the negative sign is because gravity pulls the ball down.
To get the velocity equation we need to integrate over time, we get:
v(t) = (-9.8m/s^2)*t + v0
Where v0 is the initial vertical velocity, here it is v0 = 10.5 m/s
Then the velocity equation is:
v(t) = (-9.8m/s^2)*t + 10.5 m/s
To get the position equation, we need to integrate again over time, we get:
p(t) = (1/2)*(-9.8m/s^2)*t^2 + (10.5 m/s)*t + p0
Where p0 is the initial position, we know that the ball is sent upward from the ground, so p0 = 0m
Then the position equation is:
p(t) = (1/2)*(-9.8m/s^2)*t^2 + (10.5 m/s)*t
Now we need to find the value of t such that the position is equal to zero (this means that the ball hits the ground again).
Then we need to solve:
p(t) = 0 = (1/2)*(-9.8m/s^2)*t^2 + (10.5 m/s)*t
If we divide both sides by t, we get:
0 = (1/2)*(-9.8m/s^2)*t + (10.5 m/s)
Now we can solve it:
(1/2)*(9.8m/s^2)*t = 10.5 m/s
t = (10.5 m/s)/((1/2)*(9.8m/s^2)) = 2.14 s
This means that after 2.14 seconds, the ball will hit the ground again.
The velocity of the ball when it hits the ground is equal to:
v(2.14s) = (-9.8m/s^2)*2.14s + 10.5 m/s = -10.08 m/s
PLEASE HELP ME WITH THIS ONE QUESTION
A tuning fork of 500 Hz is struck in a room with a speed of sound of 340 m/s. What is the distance between a point of rarefaction and the next compression point, in the resulting sound?
Answer:
Wavelength = 0.68 meters.
Explanation:
Wavelength gives the distance between a point of rarefaction and the next compression point, in the resulting sound.
Given the following data;
Frequency = 500 Hz
Speed of sound = 340 m/s
To find the wavelength;
Wavelength = speed/frequency
Wavelength = 340/500
Wavelength = 0.68 meters
What is the angular displacement In radians of a wagon that moves 270 around a circle path
Answer:
dont go to link they will track u
Explanation:
What is the wavelength of a wave?
What is the period of the wave motion for a wave with a frequency of 0.68 kHz?
____s
Answer:
T = 1.47 ms
Explanation:
We need to find the period of the wave motion for a wave of frequency 0.68 kHz.
Let the period be T. We know that,
T = 1/f
So,
[tex]T=\dfrac{1}{0.68\times 10^3}\\\\T=1.47\times 10^{-3}\ s\\\\T=1.47\ ms[/tex]
So, the period of the wave motion is 1.47 ms.
A 1500 kg sedan goes through a wide intersection traveling from north to south when it is hit by a 2500 kg SUV traveling from east to west. The two cars become enmeshed due to the impact and slide as one thereafter. On-the-scene measurements show that the coefficient of kinetic friction between the tires of these cars and the pavement is 0.750, and the cars slide to a halt at a point 5.48 m west and 6.37 in south of the impact point. How fast was sedan traveling just before the collision? How fast was SUV traveling just before the collision?
Answer:
v = 19.33 m / s South
Explanation:
To solve this exercise we must use the conservation of momentum, for which we must define a system formed by the two cars, therefore the forces during the collision are internal and therefore the moment is conserved.
Since it is a vector quantity, we are going to work on each axis, the x axis is in the East-West direction
initial instant. Before the crash
p₀ = m 0 + M v₂ₓ
final instant. Right after the crash
p_f = (m + M) vₓ
p₀ = 0_pf
M v₂ₓ = (m + M) vₓ
In this case m is the mass of the car and M the mass of the SUV
vₓ = [tex]\frac{M}{m+My}[/tex] v₂ₓ (1)
in the Y axis (North - South direction)
initial instant
p₀ = m v_{1y} + M 0
final moment
p_f = (m + M) v_y
p₀ = p_f
m v_{1y} + M 0 = (m + M) v_y
v_y = [tex]\frac{m}{m+M} \ v_{1y}[/tex] (2)
With these speeds we can use the relationship between work and the variation of kinetic energy, in this part the two cars are already united.
W = ΔK
friction force work is
W = - fr d
the friction force is described by the equation
fr = μ N
Newton's second law
N-W = 0
N = W
we substitute
W = - μ (m + M) g d
as the car stops the final kinetic energy is zero and
the initial kinetic energy is
K₀ = ½ (m + M) v²
we substitute
- μ (m + M) g d = 0 - ½ (m + M) v²
μ g d = ½ v²
v² = 2 μ g d
the distance traveled can be found with the Pythagorean theorem
d = [tex]\sqrt{x^2+y^2}[/tex]
d = [tex]\sqrt{5.48^2 + 6.37^2}[/tex]
d = 8.40 m
let's calculate the speed
v² = 2 0.75 9.8 8.40
v = √123.48
v = 11.11 m / s
this velocity is in the direction of motion so we can use trigonometry to find the angles
tan θ = y / x
θ = tan⁻¹ y / x
θ = tan⁻¹ (-5.48 / -6.37)
θ = 40.7º
Since the two magnitudes are negative, this angle is in the third quadrant, measured from the positive side of the x-axis in a counterclockwise direction.
θ'= 180 + 40.7
θ’= 220.7º
In the exercise they indicate the the sedan moves in the y-axis, therefore
sin θ'= v_y / v
v_y = v sin 220.7
v_y = 11.11 sin 220.7
v_y = -7.25 m / s
the negative sign indicates that it is moving south
To find the speed we substitute in equation 2
v_y = [tex]\frac{m}{m+M} \ v_{1y}[/tex]
v_{1y} = v_ y [tex]\frac{m+M}{m}[/tex]
let's calculate
v_{1y} = -7.25 [tex]\frac{1500+2500}{1500}[/tex]
v_{1y} = - 19.33 m/s
therefore the speed of the sedan is v = 19.33 m / s with a direction towards the South
A lever was used to life heavy rock. The input force was 150 N and the output force was 500 N. What was the mechanical advantage of the pulley?
True or False. In a parallel circuit, the voltage is the same anywhere in the circuit.
Answer:
true
Explanation:
in a parallel circuit, the voltage is the same
state two precautions to be taken when using a density bottle
Explanation:
(i) The density bottle must be held by the neck to avoid expansion. (ii). The outside must be wiped clean. (iii).
Answer:
The density bottle must be held by the neck to avoid expansion The outside must be wiped cleanExplanation:
hope this helpWhich statement best defines constructive interference? O Energy reflects back toward the source of its power. O Two waves with identical crests and troughs meet. thing O A wave appears to be at a standstill and vibrates in place O The trough of one wave matches the crest of another.
Answer:
when the trough of one wave matches the crest of another
Explanation:
just took the test
Tell me, Is universe created due to big bang???? Plz I want a bunch of para
Answer:
shreya Sister's answer is correct hope it's help you have a good day
what is resistance
Answer:
Resistance is the measure of the opposition to current flow in an electrical circuit
Resistance refers to the opposition or hindrance that a material or object offers to the flow of electric current. It is a fundamental concept in the field of electrical engineering and physics.
Resistance is measured in ohms (Ω) and is denoted by the symbol "R."
In electrical circuits, resistance is caused by various factors, including the type of material, its dimensions, and its temperature.
The primary element contributing to resistance is the collisions between electrons and atoms within the material through which the current is passing.
When an electric current flows through a conductor, such as a wire, the electrons move along the path of the conductor. However, as they do so, they encounter resistance.
This resistance causes the electrons to collide with atoms, which generates heat and dissipates energy.
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What is the net force on a race car with a mass of 1200 kg if its acceleration is 32.0m/s2 West?
Answer:
38400N
Explanation:
F=mass×acceleration
=1200×32
=38400
A student determines that a sample has a mass of 157.2 g and a volume of 20 cm^3. Which
substance from the table is the student analyzing?
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
linkcutter.ga/gyko
Emma draws another diagram showing how adding energy affects this wave. How does her new diagram compare to this diagram?
A
Her diagram shows higher wavelengths.
B
Her diagram shows lower wave amplitudes.
С
Her diagram shows lower wave frequencies.
D
Her diagram shows higher wave amplitudes.
HELPPPP MEEE PLEASEEEE 55 POINTS!!!
If Manuel exerts a force of 10 N to push a desk to the right at the same time Lynn exerts a force of 15 N to push the desk to the left, the desk will move to the
left
right
sideways
it won't move
Answer:
The desk will move to the left.
Explanation:
Since Manuel is exerting a force of 10 N to the right, and Lynn is exerting a force of 15 N to the left, it means that Lynn is exerting a force of 5 N more than Manuel, meaning that the desk will move to the left, the direction Lynn is pushing it too.
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Hope it helps!
A 10.0 kg mass is lifted 5.0 m above the ground.
Find the change in gravitational energy.
Answer:
500 J
Explanation:
formula of Energy is: E=mass*height*g, where g≈10 (m/s²).
according to the formula above: E=10*5*10≈500 (J)
PLEASE HELP ME WITH THIS ONE QUESTION
What is the final temperature when 625 grams of water at 75.0° C loses 7.96 x 10^4 J? (cwater = 4186 J/kg°C)
Answer: 44.57°C
Explanation:
The following can be deduced from the question:
Specific heat of water = 4.186 J/kg
From the question, we can infer that 625 × 4.186 joules of heat will be lost when there's a 1°C drop of water.
We then calculate the amount if degrees that it'll take to cool for 7.96 x 10⁴J. This will be:
= 7.96 × 10⁴ /(625 × 4.186)
= 79600/(625 x 4.186)
= 79600/2616.25
= 30.43°C
The final temperature will then be:
= 75.0°C - 30.43°C
= 44.57°C
While riding a horse, the horse suddenly comes to an abrupt stop. You fly forward and
fall over the front of the horse.
What is the Newton law?
Answer:
For every action there is an opposite reaction.
Explanation:
The kinetic energy of an object is equal to one half Its mass multiplied by its
speed
A squared
B cubed
C to the fourth power
D to the fifth power
a tire rolls from rest to an angular velocity of 6 radians per second. the angle it turns through is 12 radians. what is the angular acceleration of the tire?
Answer:
[tex]\alpha =1.5\ rad/s^2[/tex]
Explanation:
Given that,
Initial angular velocity, [tex]\omega_i=0[/tex]
Final angular speed, [tex]\omega_f=6\ rad/s[/tex]
Angular displacement, [tex]\theta=12\ rad[/tex]
We need to find the angular acceleration of the tire. We can find it using the third equation of rotational kinematics. So,
[tex]\omega_f^2-\omega_i^2=2\alpha \theta\\\\\alpha =\dfrac{\omega_f^2-\omega_i^2}{2\theta}\\\\\alpha =\dfrac{6^2-0^2}{2\times 12}\\\\\alpha =1.5\ rad/s^2[/tex]
So, the angular acceleration of the tire is equal to [tex]1.5\ rad/s^2[/tex].
explain Heat with its unit
Answer:
As a form of energy, heat has the unit joule (J) in the International System of Units (SI). However, in many applied fields in engineering the British thermal unit (BTU) and the calorie are often used. The standard unit for the rate of heat transferred is the watt (W), defined as one joule per second
Explanation:
Hope it helps
STUDY QUESTIONS
1. (a) You are provided with a 15 cm long steel strip,
By using a permanent bar magnet explain how
you will magnetise the steel strip
Answer:
The blade of sharpener is made up of iron. Iron is a magnetic material because of this pencil sharpener gets attracted by the poles of a magnet although the body is made up of plastic.
Where is the moon? Please help?
A gazelle is running at 17.46 m/s. He sees a lion and accelerates at -1.49 m/s/s,
How fast is he running 2.39 seconds later?
Answer:
V=21.0211m/s
Explanation:
Use V=vi+at
So, V=17.46m/s+(1.49m/[tex]s^{2}[/tex])(2.39s)= 21.0211m/s
If the sound level at a point is 98.0 dB, what is the intensity of sound at that point (Unit=W/m^2)? please help will give brainliest
Explanation:
The decibel scale is a logarithmic scale where each bel or 10 decibels correspondents to a factor of ten. A power intensity of 10^(-12) watts per square meter is the standard reference for a SPL of 0 db. So an SPL of 98 db corresponds to a power intensity of 10^(9.8)*10^(-12) or 10^(9.8–12) w/m^2.
0.006309573 w/m^2.
A form of energy NOT associated with the particles of objects is
thermal energy
mechanical energy
nuclear energy
chemical energy
Answer:
mechanical energy
Explanation:
because except mechanical energy all posseses particles
PLEASE HELP!!!!!!
Is this correct?
A geosynchronous satellite orbits Mars (mass = 6.42 x 1023 kg) once every Martian day, 88640 s. At what radius does it orbit?
Answer:
angular speed ω = 2PI / T rad/sec
ω^2*r = M*G/r^2
r = ³√ M*G/ω^2 = ³√6.42*10^23*6.67*10^-11*88640^2/39.5 = 2.04*10^7 m
Explanation:
A geosynchronous satellite orbits Mars once every Martian day, 88640 s then the radius of the orbit will be equal to 2.04 × 10⁷ m.
What is gravity?The fundamental force of attraction operating on all matter is recognized as gravity, also spelled gravity, in mechanics. It has no impact on identifying the interior properties of common matter because it is the weakest force known to exist in nature.
As per the given data in the question,
Mass, m = 6.42 x 10²³ kg
Time, T = 88640 s
Use the formula of velocity for satellite,
v = 2πR/T
Where R represents the radius
Use the formula of centripetal acceleration,
[tex]a_c[/tex] = v²/R
Thus;
[tex]a_c[/tex] = (2πR/T)²/R
= 4π²R/T²
The formula for gravitational acceleration is:
[tex]a_g[/tex] = Gm/R²
G = 6.674 × 10⁻¹¹ m³/kg. s²
Now, the satellite's gravitational acceleration is what is responsible for its centripetal acceleration. Thus,
Centripetal acceleration = gravitational acceleration.
Thus;
4π²R/T² = Gm/R²
Making R the subject gives;
R = ∛(GmT²/4π²)
Substitute the values in the above equation,
R = ∛((6.674 × 10⁻¹¹ × 6.42 x 10²³ × 88640²)/(4 × π²))
R = 2.04 × 10⁷ m
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Fifty grams of ice at 0◦ C is placed in a thermos bottle containing one hundred grams of water
at 6◦ C. How many grams of ice will melt? The heat of fusion of water is 333 kJ/kg and the
specific heat is 4190 J/kg · K.Immersive Reader
Answer:
7.55 g
Explanation:
Heat of fusion = 333kj/kg
Heat capacity, c = 4190 j/kg /k
Heat capacity in j/g /k = 0.4190
Let the Number of grams of ice that will melt = n
Number of grams * heat of fusion = heat capacity * temperature change
n * 0.333 = 0.419 * (6-0)
0.333n = 2.514
n = 2.514 / 0.333
n = 7.5495
n = 7.55 gram
Hence, the number of gram of ice that will melt is 7.55 grams