This question involves the concepts of centripetal force, range of projectile and projectile motion.
The magnitude of centripetal force is "2812.8 N".
First, we will find the velocity of the ball by using the formula of the range of the projectile.
[tex]R = \frac{v^2Sin2\theta}{g}[/tex]
where,
R = range of projectile = 86.75 m
v = speed = ?
θ = launch angle = 47.9°
g = acceleration due to gravity = 9.81 m/s²
Therefore,
[tex]86.75\ m = \frac{(v)^2Sin(2)(47.9^o)}{9.81\ m/s^2}\\\\v = \sqrt{\frac{(86.75\ m)(9.81\ m/s^2)}{Sin95.8^o}}[/tex]
v = 29.25 m/s
Now, we will use the formula to find out the centripetal force:
[tex]F_c = \frac{mv^2}{r}[/tex]
where,
[tex]F_c[/tex] = Centripetal Force = ?
m = mass of the ball = 7.3 kg
v = speed = 29.25 m/s
r = radius = 2.22 m
Therefore,
[tex]F_c = \frac{(7.3\ kg)(29.25\ m/s)^2}{2.22\ m}[/tex]
Fc = 2812.8 N = 2.812 KN
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If the mass of an object is 200kg and the applied force is 2600N, calculate the Acceleration.
Answer:
13 m/s²
Explanation:
Mass of object = 200 Kg
Applied force = 2600 N
Acceleration = ?
Solution:
Definition:
The acceleration is rate of change of velocity of an object with respect to time.
Formula:
a = Δv/Δt
a = acceleration
Δv = change in velocity
Δt = change in time
Units:
The unit of acceleration is m.s⁻².
Acceleration can also be determine through following formula,
F = m × a
a = F/m (N = kgm/s²)
a = 2600 kgm/s² / 200 Kg
a = 13 m/s²
[tex]\\ \rm\longmapsto F=ma[/tex]
[tex]\\ \rm\longmapsto a=\dfrac{F}{m}[/tex]
[tex]\\ \rm\longmapsto a=\dfrac{2600}{200}[/tex]
[tex]\\ \rm\longmapsto a=13m/s^2[/tex]
As the signal turns green, automobile A accelerates at a constant rate of 2 m/s2. Two seconds later, automobile B starts and accelerates at a constant rate of 3.6 m/s2. Determine (a) when B will overtake A, (b) the speed of each automobile at that time, and c) the location where B overtakes A relative to the traffic signal.
Answer:
a) 45 s , b) vₐ = 90 m / s, v_b = 162 m / s, c) x_b = 3.328 10⁴ m
Explanation:
We can solve this exercise using the kinematic relations
Vehicle A
xₐ = v₀ₐ t + ½ aₐ t²
vehicle B
starts two seconds later
x_b = v_{ob} (t-2) + ½ a_b (t-2) ²
as cars start from rest their initial velocities are zero
at the point where they meet, the position must be the same for both vehicles
xa = 0 + ½ aₐ t²
xb = 0 + ½ a_b (t-2) ²
½ aₐ t² = ½ a_b (t-2) ²
[tex]\sqrt{ \frac{a_a}{a_b} }[/tex] t = (t-2)
t (1 - \sqrt{ \frac{a_a}{a_b} }) = 2
t (1 - ⅔, ) = 2
t = 2 / 0.4444
t = 45 s
b)
the speed of each car
vₐ = voa + aa t
vₐ = 0 + 2 45
vₐ = 90 m / s
v_b = 3.6 45
v_b = 162 m / s
c) xb = 0 + ½ ab (t-2) ²
x_b = ½ 3.6 (45-2) ²
x_b = 3.328 10⁴ m
The volume of a sphere is 33 n cubic centimeters. What is the radius?
32
34 1 = ģistorie
Sphere V =
32
1. Substitute
3
into the volume formula for V:
2. Multiply both sides of the equation by :
3. Divide both sides of the equation by A.
4. Take the cube root of both sides:
827 = 3
8 = p3
3.3 = r.
The radius of the sphere is
cm.
Answer:
Ingles porfavor
Explanation:
Answer:
j type the question into wolfram it gives you answer plus explanation
Can some one help me ;-;
Answer: The first answer for the first problem, and the 2nd answer for the second problem
Explanation: For the first one, if it is absolute zero, the molecules would not move at all.
For the second one, the temperature of the sample will increase due to the movement.
A mother applied 210 newtons to pull her
son on his snow sled a distance of 4
meters. How much work does the mother?
840
190
52.5
420
If a 12 kg object's velocity changes from 5 m/s to 10 m/s in 5 s, what amount of force was applied to increase the speed of the object?
Answer:
12 N
Explanation:
Given that a 12 kg object's velocity changes from 5 m/s to 10 m/s in 5 s, what amount of force was applied to increase the speed of the object?
Solution
M = 12 kg
T = 5 s
The formula to use will be
F = ma
Where
Acceleration a = change in velocity/ time
Acceleration a = ( 10 - 5 ) / 5
Acceleration a = 5 / 5
Acceleration a = 1 m/s^2
Substitutes a into the formula above
F = ma
F = 12 × 1
F = 12 N
Therefore, the amount of force applied to increase the speed of the object is 12 N.
Describe the forces that are acting on a person who is standing still on a sidewalk, and identify whether the forces are balanced or unbalanced. Describe how the forces would change if the person started walking.
Answer:
a. i His weight and the normal force on him due to the ground
ii The weight and the normal force are balance
b. There are four forces acting on him while he is walking. These are the backward push due to his leg on the ground and the frictional force between his feet in the horizontal direction and, his weight and normal force on his feet in the vertical direction.
Explanation:
a. i Describe the forces that are acting on a person who is standing still on a sidewalk
His weight and the normal force on him due to the ground act on him while the person is standing on the sidewalk
ii. identify whether the forces are balanced or unbalanced.
The weight and the normal force are balance because, the person does not move in the vertical or horizontal direction.
b. Describe how the forces would change if the person started walking.
When the person starts walking, the backward push due to his leg on the ground and the frictional force between his feet and the ground now acts on him in the horizontal direction. The frictional force acts in the forward direction and tends to move him forward. His weight and normal force on his feet still act vertically and are both balanced since he does not move in the vertical direction.
So, there are four forces acting on him while he is walking. These are the backward push due to his leg on the ground and the frictional force between his feet in the horizontal direction and, his weight and normal force on his feet in the vertical direction.
Which phrase best describes what the graph for
average low temperatures would look like?
rk
O It would run parallel to and below the high
temperature graph.
O It would be a flat line that crosses the high
temperature graph.
O It would be the opposite of the high temperature
graph.
It would be a flat line below the high temperature
graph.
Answer:
i dont know sir
Explanation:
All objects in our solar system orbit the Sun. How is the movement of planets like
Earth around the Sun different than that of comets traveling around the Sun?
PLEASE HELP I WILL GIVE BRAINLIEST JUST PLEASE PLEASE HELP
Answer:
planets move in elliptical orbit.
Explanation:
this is because planets are formed closer to the sun while the comets are formed further.
The Sun is home to 99.85% of all stuff in the Solar System.All objects in our solar system orbit the Sun.The movement of planets is elliptical in nature.
What is solar system?Our solar system consists of the Sun, Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune, as well as the planets Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, and Neptune.
It consists of the planets' satellites, as well as numerous comets, asteroids, and meteoroids, as well as the interplanetary medium. The Sun is home to 99.85% of all stuff in the Solar System.
The movement of planets is elliptical due to the fact that planets are present closer to the sun while the comets are present farther away from the sun as compared to the planets.
Hence the movement of planets is elliptical in nature.
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3. The coefficient of kinetic friction between an object and the surface upon which it is sliding is
0.40. The mass of the object is 3,2 kg. What is the force of friction?
Answer:
2
Explanation:
The light is most intense where it strikes Earth _______ to its surface.
Answer: The sun's rays strike Earth's surface most directly at the equator. This focuses the rays on a small area. Because the rays hit more directly, the area is heated more.
The light is most intense where it strikes Earth's surface most directly at the equator
The sun's rays strike Earth's surface most directly at the equator. The rays are focused on a narrow area as a result of this. The area is heated more because the sunlight touch it more directly.The incoming solar radiation is more direct (almost perpendicular or closer to a [tex]90[/tex] degree angle) when the sun's rays contact the Earth's surface near the equator. As a result, solar energy is focused over a smaller surface area, causing temperatures to rise.For more information:
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What is the net force on the cart in the diagram?
--> 50N --> 75N
Answer:
15N
Explanation:
Look, this is easy maths all you have to do is subtract 75N from 50N.
Please give me brainliest.
Sincerely,
JA$ON
What is the kinetic energy of a 78kg object moving at a velocity of 2.5m/s
Answer:
[tex]\boxed {\boxed {\sf 243.75 \ J }}[/tex]
Explanation:
Kinetic energy is energy an object has due to motion. The formula is:
[tex]KE=\frac {1}{2}mv^2[/tex]
The mass of the object is 78 kilograms and the velocity is 2.5 meters per second.
[tex]m= 78 \ kg \\v= 2.5 \ m/s[/tex]
Substitute the values into the formula.
[tex]KE= \frac {1}{2} (78 \ kg)*(2.5 \ m/s)^2[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. Solve the exponent first.
(2.5 m/s)²= 2.5 m/s * 2.5 m/s = 6.25 m²/s²[tex]KE= \frac {1}{2}(78 \ kg)*6.25 \ m^2/s^2[/tex]
Multiply all three numbers together.
[tex]KE=39 \ kg * 6.25 \ m^2/s^2\\[/tex]
[tex]KE=243.75 \ kg*m^2/s^2[/tex]
1 kilogram meter squared per second squared is equal to 1 Joule. So, our answer of 243.75 kg *m²/s² is equal to 243.75 Joules.
[tex]KE=243.75 \ J[/tex]
The object has 243.75 Joules of kinetic energy.
7. Your friend shows you a special kind of paper that can change color. He says that it will change
color if it is out in the sun. Can light from the sun cause the paper to change color?
a
Yes. Light from the sun can pull energy out of the paper, causing it to change color.
b
Yes. The paper can take in energy from the light, causing it to change color.
С
No. Light is not a physical thing, so it cannot change physical things like paper.
d
No. Light can only change things by warming them up, so it cannot cause the paper to
change color.
Answer:
d no light can only change things by warming them up , so it cannot cause the paper to change colur
Match the phrase with its explanation
Answer:
its very easy
Explanation:
Objects A and B are brought close to each other. Object A will soon become positively charged. Identify the charge that must transfer for
this
situation to occur.
How much force is needed to keep the bowling ball moving towards the pins once it has
left the man's hand?
PLEASE HELP!
Answer:
a lot of force is the answer
Explanation:
happy Ramadan kid
A swimmer swims the 500 yd freestyle race in 13 minutes. What is his speed in yd/min? (Round to the nearest tenth). *
Answer:
0.026 yards per minute because 13/500=0.26 which would find what fraction of a minute it would take to swim 1 yard
Help pls it’s time help
Answer:
Imma just add it since i got it right. Well its the first one.
Explanation:
Mine is A temporary magnet is only able to create its own magnetic field while in the presence of a stronger magnet. In other words, these types of magnets need assistance from a larger force in order to be able to attract other objects and magnets.
Answer:
Any time
Explanation:
does motion of charge always lead to electric current ?
Answer:
The charges in motion constitute an electric current. However, not all moving charges constitute an electric current.
When reading a nutrition label, sodium is typically measured in what unit?
grams
illigrams
ounces
inches
The bones of the middle ear cause which structure in the inner ear to vibrate and change the sound into signals?
a) eardrum
b) cochlea
c) hammer
d) auricle
Answer:
B
Explanation:
The cochlea is the part of the inner ear involved in hearing. It is a spiral-shaped cavity in the bony labyrinth, in humans making 2.75 turns around its axis, the modiolus.
Answer:
the answer is the cochlea
Explanation:
the eardrum receives the sounds and the cochlea "decifers them" so you know what words people are saying or what sound is playing.
Me file can walk a distance of 300 meters in 60 seconds. What is his speed
Answer:
5 m/s
Explanation:
use speed=distance/time
300/60=5
How long will it take a sample of lead-212 (which has a half-life of 10.64 h) to decay to one-eighth its original strength?
Answer:
31.92 h
Explanation:
We'll begin by calculating the number of half-lives that has elapsed. This can be obtained as follow:
Original amount (N₀) = 1
Amount remaining (N) = ⅛
Number of half-lives (n) =?
N = 1/2ⁿ × N₀
⅛ = 1/2ⁿ × 1
Cross multiply
2ⁿ = 8
Express 8 in index form with 2 as the base.
2ⁿ = 2³
n = 3
Thus, 3 half-lives has elapsed.
Finally, we shall determine the time. This can be obtained as follow:
Half-life (t½) = 10.64 h
Number of half-lives (n) = 3
Time (t) =?
n = t / t½
3 = t / 10.64
Cross multiply
t = 3 × 10.64
t = 31.92 h
Therefore, it will take 31.92 h for lead-212 to decay to one-eighth its original strength.
1. Un móvil se desplaza 20m e invierte 8 segundos en hacerlo. ¿Cuál es su velocidad instantánea? 2. Un móvil parte a 3 metros después del origen y se detiene a 2 metros antes de este. Si demora 10 segundos en su desplazamiento. Calcular su rapidez.
Answer:
1) v = 2.5 m / s, 2) v = -0.5 m / s
Explanation:
For this exercise we will use the kinematics relations
1) velocity is defined by
v = [tex]\frac{dx}{dt}[/tex]dx / dt
this definition serves for the instantaneous and the average velocity if the displacements are linear in time
v = 20/8
v = 2.5 m / s
b) for this part we use
v = [tex]\frac{\Delta x}{\Delta t}[/tex]
Δx = x_f -x₀
we must place a reference system, where the direction to the right is positive
x_f = -2 m
x₀ = +3 m
Δx = -2 -3
Δx = -5 m
we calculate
v = -5 / 10
v = -0.5 m / s
this value is a scalar
When light hits a second transparent medium, light-
A. Reflects and Refracts
B. Refracts only
C. Reflects only
Answer:
C. Reflects only
You and your younger sister (who weighs half as much you do) are at a skating rink. You are both wearing roller skates and are facing each other. What will happen to your and your sister's motion if you push against each other?
Question 1 options:
You move forward and your sister moves backward at a faster rate.
You both move forward, but you accelerate at a greater rate.
You move backward and your sister moves forward at a faster rate.
You both move backward but your sister accelerates at a greater rate.
Question 2 (1 point)
You are standing, completely still, on a completely flat floor. Why do you stay as you are instead of flying into the air?
Question 2 options:
There are no forces acting on you or the floor.
Forces are only acting on the floor.
All of the forces acting on you are balanced.
You are exerting an unbalanced force on the floor.
Question 3 (1 point)
A baseball is thrown at 90 mph from east to west over a distance of 60 ft. What is true of the ball's motion?
Question 3 options:
Its speed is 90 mph to the west.
Its acceleration is 30 mph.
Its velocity is 90 mph to the west.
Its acceleration is 150 mph.
Question 4 (1 point)
A box is pushed 7 m to the left in 3 s. What is the block's average speed to the nearest tenth?
Question 4 options:
2.33 m/s
0.43 m/s
2.3 m/s
0.4 m/s
Question 5 (1 point)
graph
On a graph of distance vs. time, what is true of the motion of the object during its first 6 m of travel?
Question 5 options:
The object was moving at a constant speed.
The object was accelerating.
The object was not moving.
The object was northbound.
Answer:
It is D
Explanation: Use of these terms stretches back to World War I. One American field order from September 1918 noted, “The First Army will attack at H-Hour on D-Day with the object of forcing the evacuation of the St. Mihiel salient.” Other nations had their own shorthand. In World War I, the French used the code date “le Jour J,” while the British called their operation start days “Z-Day” and “Zero Hour.”
Hope this helps
You and your younger sister (who weighs half as much you do) are at a skating rink. You and your sister's both move backward but your sister accelerates at a greater rate.
What is acceleration?The time rate of change of velocity with time.
As both are holding each other, they will be pushed backwards because the skating they wear makes them to move backwards. The equal and opposite force is applied on each other.
The force F =mass x acceleration.
The lesser mass greater will be the acceleration. Your sister with half weight of yours will accelerate more.
Thus, you and your sister's both move backward but your sister accelerates at a greater rate.
Learn more about acceleration.
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A mechanic uses a screw driver to install a 1⁄4-20 UNC bolt into a mechanical brace. What is the mechanical advantage of the system? What is the resistance force if the effort force is 5 lb
Answer:
15.7 ; 78.5
Explanation:
Given that
The mechanic use a screw driver to install 1⁄4-20 UNC bolt
And, the effort force is 5lb
We need to find out the mechanical advantage
And, the resistance force
As we know that
The Mechanical advantage of a screw = Circumference ÷ pitch
where,
Circumference = pi × d
pi = 3.142, D = diameter
So,
Circumference = 3.142 × (1 ÷ 4)
= 0.785 in
Now
Pitch = 1 ÷ TPI
Here TPI (thread per inch) = 20
Pitch = 1 ÷ 20 = 0.05
So,
Mechanical advantage = 0.785 ÷ 0.05
= 15.7
Now Resistance force if effort force is 5lb
We know that
Mechanical advantage = Fr ÷ Fe
Here
Fe = effort force, Fr = resistance force
15.7 = Fr ÷ 5
Fr = 15.7 × 5
= 78.5 lbs
Who was Nikola Tesla?
Answer:
Nikola Tesla was a Serbian-American inventor, electrical engineer, mechanical engineer, and futurist best known for his contributions to the design of the modern alternating current electricity supply system.
Flossie blew a tire 5 minutes into the second leg, up to that point she had traveled 10 km making her speed 2 km/m. It took 2 minutes to fix her tire. Flossie had to finish within 2 minutes in order to stay even with the evil Mabel. If Flossie had 8 km left what speed will she need to win?
Answer:
4km/m
Explanation:
She was going at 2km/m, so 2 kilometers per minute. She has 2 minutes therefore she needs to double her rate to 4 kilometers per minute.