Part A: the launch speed of the dart when fired horizontally is 6.67 m/s. Part B: If the dart is fired vertically, the launch speed would be different as the force of gravity would act on the dart in addition to the force from the spring.
To calculate the launch speed of the dart, we can use the principle of conservation of mechanical energy, which states that the initial mechanical energy of the system is equal to the final mechanical energy of the system neglecting any non-conservative forces such as air resistance. At the start of the process, the spring has only potential energy, which is given by:
U = (1/2)kx^2
where k is the spring constant and x is the maximum compression of the spring. At maximum compression, all of the potential energy is converted to kinetic energy of the dart, which is given by:
K = (1/2)mv^2
where m is the mass of the dart and v is its velocity.
Part A:
To calculate the launch speed of the dart when fired horizontally, we need to find the spring constant k. We can do this by using the maximum force exerted on the dart and the maximum compression of the spring:
F = kx
where F = 7.0 N and x = 0.16 m. Solving for k, we get:
k = F/x = 7.0 N/0.16 m = 43.75 N/m
Now we can use this value of k to calculate the launch speed of the dart:
(1/2)kx^2 = (1/2)mv^2
Solving for v, we get:
v = sqrt[(kx^2)/m] = sqrt[(43.75 N/m)(0.16 m)^2/(0.024 kg)] = 6.67 m/s
So, the launch speed of the dart when fired horizontally is 6.67 m/s.
Part B:
The launch speed of the dart would be different if it were fired vertically. This is because the force of gravity would act on the dart in addition to the force from the spring. The force from the spring would act in the opposite direction of gravity, so the dart would not travel as far. To calculate the launch speed in this case, we would need to consider the forces acting on the dart and use the principle of conservation of mechanical energy again.
Therefore, Part A: When the dart is shot horizontally, its launch speed is 6.67 m/s. Part B: The launch speed would change if the dart was fired vertically because gravity's pull on the dart would be added to the spring's force.
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True or false: Everything in the universe works with harmony because of balanced energy
Answer:
Explanation:
True
Answer:
True..................
A ball dropped and accelerates downwards at a rate of 10m/s^2 for 15 seconds how much will the balls velocity increase
Answer:
v = 150 m/s
Explanation:
Given that,
The acceleration of the ball, a = 10 m/s²
Time, t = 15 s
We need to find the increase in ball's velocity. When it is dropped its initial velocity is equal to 0. Let v be the velocity,
v = u+at
v = 0 +10(15)
v = 150 m/s
So, the ball's final velocity is 150 m/s.
How many kgs are in 1000N?
Answer:
this much I think 101.9716212978
Answer:
approximately 102kg
Explanation:
1 kg on the surface of the Earth weighs 9.80665 N
1000 N = 1000/9.80665 kg = 102 kg
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Where do you weight more on top of Mt. Everest (Highest Mt. in the world) or at the beach
They are the same
Mt Everest
The beach
Not enough information
You weigh slightly more at the beach than on top of a mountain, because at the beach, you're closer to the center of the Earth.
A force of 100 N will exert the greatest pressure on an area of
Answer:
It will apply the greatest pressure of an area of 1.
Explanation:
To find pressure use the formula P = F/A
P = 100/1
P = 100
Answer:
10 N / cm^2
Explanation:
The Formiula is P = F / A
P = presure
F = Force in Newtons
A = area.
The answer is the smaller the area the larger the pressure.
The smallest area you have given us is 10 cm^2
The Pressure = 100N / 10 cm^2
Pressure = 10 N/cm^2
Note: the units are not exactly standard units, but I've given the answer the way the question offers the units.
what is biodiversity
Answer:
Biodiversity is the variety and variability of life on Earth. Biodiversity is typically a measure of variation at the genetic, species, and ecosystem level. Terrestrial biodiversity is usually greater near the equator, which is the result of the warm climate and high primary productivity.
Explanation:
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What is the major source of energy on Earth? Group of answer choices a.photosynthesis b.fossil fuels c.EM waves from the sun d.
plants that are used for food.
Answer:
Em waves from the sun d
Explanation:
Answer:
The answer is photosynthesis
Explanation:
a effort of 100n can raise a load of 2000n in a hydraulic press. calculate the cross-sectional area of a small piston in it. The cross-sectional area of a large piston is 4m^s
Answer:
[tex]A_{1}[/tex] = 0.2 [tex]m^{2}[/tex]
Explanation:
The pressure on the pistons is given as;
Pressure = [tex]\frac{Force}{Area}[/tex]
So that,
Pressure on the small piston = [tex]\frac{F_{1} }{A_{1} }[/tex] and Pressure on the large piston = [tex]\frac{F_{2} }{A_{2} }[/tex]
Thus,
[tex]\frac{F_{1} }{A_{1} }[/tex] = [tex]\frac{F_{2} }{A_{2} }[/tex]
Given that: [tex]F_{1}[/tex] = 100 N, [tex]F_{2}[/tex] = 2000 N, [tex]A_{2}[/tex] = 4 [tex]m^{2}[/tex].
[tex]\frac{100}{A_{1} }[/tex] = [tex]\frac{2000}{4}[/tex]
[tex]A_{1}[/tex] = [tex]\frac{100*4}{2000}[/tex]
= [tex]\frac{400}{2000}[/tex]
= 0.2
[tex]A_{1}[/tex] = 0.2 [tex]m^{2}[/tex]
The area of the small piston is 0.2 [tex]m^{2}[/tex].
SI UNIT OF GRAVITY is the
Answer:
G
Explanation:
ordinary kriging method assume that
ears
Explanation:
I want to eat your ears
An object has a kinetic energy of 25 J and a mass of 34 kg, how fast is the object moving?
in which of the following is the molecules of water moving fatest A. stream. B. ice. C. ice water mixture. d. water.
Answer:
steam
Explanation:
particles move faster in a gas than in a liquid or solid
What does attributed mean
Answer:
attribute is defined as a quality or characteristic of a person, place, or thing
Explanation:
Answer:
regard something as being caused by (someone or something).
Explanation:
Online dictionary
if the charge of the force is doubled would the force double
Answer: The electrostatic force between two point charge particles is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. So, if you double the individual charges while keeping the same distance, the net electrostatic force will be four times the previous value.
Explanation:
Since, we know
F = (k×q1×q2)/r²
When the charges are doubled, we have :
F' = (k × 2q1 × 2q2)/r²
F' = 4 (k×q1×q2)/r²
Thus,
F' = 4F
Hence, the force becomes 4 times its initial value.
Write a 5-8 sentence summary on Earthquakes.
Answer:
An earthquake is a sudden shaking movement of the surface of the earth. It is known as a quake, tremblor or tremor. Earthquakes can range in size from those that are so weak that they cannot be felt to those violent enough to toss people around and destroy whole cities. ... An earthquake is measured on Richter's scale.
PLEASE MARK ME BRAINLIEST, PLEASECan anyone help in physics plz
Answer:
The answer is B. 8000.
Explanation:
She gained 10,000J , but when she reached the bottom she was at 2,000J. All you need to do is 10,000-2,000 and you get 8,000. So the answer is 8,000J.
_____ is a area of darkness
Answer:
Shadow
Explanation:
Shadow is a area of darkness.
When sunlight falls on an object ot blocks the light from getting onto the surface . Hence, as light does not falls on that region it is dark. Hence, the shadow is the area of darkness.
Answer:
shadow is a area of darkness
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Plzzz answer with explnation!!!
the value of acceleration due to gravity (g) will be maximum at:
a) 1/2 of the radius of earth
b) 1/4 of the radius of earth
c) 1/8 of the radius of earth
Answer:
1/4
Explanation:
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lab number 14: sudden stops hurt newtons first law
Answer:
you want to know newtons first law here.
Explanation:
An object that is at rest stays at rest or stays in motion.
Can u please help mee?
1 Calculate the momentum in each of these cases.
a A car of mass 1000 kg traveling at 31.6 m/s
b A train with a mass of 120 000 kg and a velocity of 40 m/s (about 90 mph)
Answer:
a
Explanation:
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Match each word to it's correct meaning.
1. conduction
A.resistance to motion between two objects in contact
2. convection
B.something that will flow
3. fluid
C.measure of how much heat energy a substance has
4. friction
D.transmission of heat by the transferring of energy from one particle to another
5. temperature
E.transfer of heat by the motion of the particles of a gas or fluid
PLS PLS PLS NEED HELP ONLY HAVE A LITTLE BIT TILL I HAVE TO SHOW ME PARENTS ME GRADES AND I CANT HAVE ANYTHING OVERDUE
Answer:
you know the answer i answered it before on a question 0-0
Explanation:
what is the answer , please.
Answer:
39.2m/s
Explanation:
V = 0
V = u - gt
0 = u - 9.8×4
u = 39.2
2. True or False: Molecules always vibrate at the same speed??
Answer:
False
Explanation:
There are 3 states of matter, and all states have molecules. These molecules vibrate in different speeds, depending on the mass, weight, and stae off matter of the object.
what is mass in physics
Answer:
Mass, in physics, quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that a body of matter offers to a change in its speed or position upon the application of a force. The greater the mass of a body, the smaller the change produced by an applied force.
Explanation:
pls mark as brainliest
Answer:
Mass, in physics, quantitative measure of inertia, a fundamental property of all matter. It is, in effect, the resistance that a body of matter offers to a change in its speed or position upon the application of a force. The greater the mass of a body, the smaller the change produced by an applied force.
Explanation:
Hope that helps! :)
A 615 watt refrigerator runs 24 hours/day. How much energy is used per month (30 days)?
Answer:
14.76
Explanation:
If you put it in the calculator it would show
An atom of a certain element has 36 protons, 36 electrons, and a mass number of 84. At room temperature, this element is a very stable gas. How many neutrons are in this atom?
Answer:
12 neutrons
Explanation:
The number of protons also shows the atomic number. Therefore the element in question is Krypton (Kr), which also is a noble gas.
Neutrons = Mass number - protons - electrons
Here neutrons = 84 - 36 - 36 = 12
pls help i’ll give brainliest if you give a correct answer!!
Answer: the last one
Explanation:
Answer:
C
Explanation:
If there is zero total force acting on the refrigerator, the refrigerator would
A) slow down
B) speed up
C) remains the same speed
D) slow down, change direction and then speed up going the other way
E) remains at the same speed, but changes direction
Answer:
c
Explanation:
this is because newton's first law of motion states that every object will continue in its state of rest or uniform motion in a straight line unless a resultant force acts on it
so if the resultant force on the refrigerator is 0N, but it was initially moving, it will continue in its motion in a straight line.
it will not change direction since it will continue in its uniform motion.
hope this helps
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What will happen in the next moment for the girl on the swing?
1.Fill in wether quantities will increase, decrease, or stay the same.
2. Support your answer in the table below
Answer:
Increase, same, same
Explanation:
10 POINTS and WILL MARK AS A Brainlest PLEASE
Answer:
240 cm/sec
Explanation:
The speed line is closest to 240sec at 60cm.
Hope this helps! :)