Explanation:
We need to apply the conservation law of linear momentum to two dimensions:
Let [tex]p_{1}[/tex] = momentum of the 1st ball
[tex]p_{2}[/tex] = momentum of the 2nd ball
In the x-axis, the conservation law can be written as
[tex](p_{1} \cos \theta_{1})_{i} + (p_{2} \cos \theta_{2})_{i} = (p_{1} \cos \theta_{1})_{f} + (p_{2} \cos \theta_{2})_{f} [/tex]
or
[tex](m_{1}v_{1})_{i}= (m_{1}v_{1}\cos \theta_{1})_{f} + (m_{2}v_{2}\cos \theta_{2})_{f} [/tex]
Since we are dealing with identical balls, all the m terms cancel out so we are left with
[tex](v_{1})_{i} = (v_{1})_{f}\cos \theta_{1} + (v_{2})_{f}\cos \theta_{2}[/tex]
Putting in the numbers, we get
[tex]1.33 = (0.750) \cos(33.30) + (v_{2})_{f} \cos \theta_{2}[/tex]
[tex] = > (v_{2})_{f} \cos \theta_{2} = 0.703[/tex]
In the y-axis, there is no initial y-component of the momentum before the collision so we can write
[tex]0 = (v_{1}\sin \theta_{1})_{f} + (v_{2}\sin \theta_{2})_{f} [/tex]
or
[tex] = > (v_{2})_{f} \sin \theta_{2} = (0.750) \sin(33.30) = 0.412[/tex]
Taking the ratio of the sine equation to the cosine equation, we get
[tex] \frac{ \sin \theta _{2}}{ \cos \theta_{2} } = \tan \theta_{2} = \frac{0.412}{0.703} = 0.586[/tex]
or
[tex] \theta_{2} = { \tan}^{ - 1} (0.586) = 30.4[/tex]
Solving now for [tex](v_{2})_{f}[/tex],
[tex](v_{2})_{f} = \frac{0.412}{ \sin(30.4) } = 0.815 \: \frac{m}{s} [/tex]
Jerome has a tow truck, and he is in charge of moving several vehicles for the city. He wants to explain to his niece how towing vehicles relates to Newton's second law. Which statement should he use?
Answer:
Force = mass x acceleration
Explanation:
According to the Newton's second law, the net force acting on the object is proportional to the rate of change of momentum of the body.
So, Force is given by
F = m a
where, F is the force, m is the mass and a is the acceleration.
when the mass is more, the acceleration is less as the force applied by the truck is same.
An object accelerating at 16 m/s/s doubles its mass and triples its net force acting on it. What will the new acceleration be? (Just number no units)
Answer:
24 m/s²
Explanation:
The given parameters are;
The initial acceleration of the object, a = 16 m/s²
Let 'm' represent the initial mass of the object
The initial force acting on the object, F = m × a
∴ F = 16 × m = 16·m
When the mass is doubled, we have;
The new mass of the object, m₂ = 2 × m = 2·m
When the net force acting on the object triples, we have;
The new net force acting on the object, F₂ = 3 × F = 3 × 16·m = 48·m
From F = m × a, we have;
a = F/m
∴ The new acceleration of the object, a₂ = F₂/m₂
From which, by plugging in the values, we have;
a₂ = 48·m/(2·m) = 24
The new acceleration of the object, a₂ = 24 m/s².
Can anybody help?? If somebody can answer I'd love it!!
Answer:
1.
a. T
b. F
c. T
d. F
e. T
2. Liquid, gas, solid
3. Water
4.
a. Solid
b. Gas
c. Water
5.
a. Add heat
b. Remove heat
c. Add heat
If you lift a 80 N book 50 cm off the floor, how much work did you do?
1. 0
2. 4000 J
3. 40 J
4. 1.6 J
A man pushes a couch a distance of 0.75 m. If 450 J of work is done, what is the magnitude of the force applied?
1. 16.9 J
2. 45
3. 1350 J
4. 2700 J
Aslaam 3lekm m3akm yaseen my 8nat alninkm
Physical characteristics can be transmitted from generation, from parents to offspring. The passage of genetic Instructions from one generation to anther is known as which of the following?
A. Heredity
B. Chromosomes
C. DNA
D. Genes
Answer:
A. HeredityExplanation:
Heredity is defined as the passage of genetic instructions from one generation to the next.
Which is used to name an ionic compound?
Answer:
An ionic compound is named first by its cation and then by its anion. The cation has the same name as its element.
The graph below shows the percentage of unstable nuclei remaining of a radioactive isotope.
Initially, there was 44g of the radioactive substance. How much of the substance is thereafter 60 minutes?
i have no clue, sorry. jus tryna get points
1. Mineral in the earth's crust exists naturally in form of solid elements or compounds *
True
False
Answer:
True
Explanation:
Minerals can be defined as any form of naturally occurring, inorganic solid substance characterized by a crystal structure. Also, minerals are homogeneous in nature with a defined chemical composition and characterized by a crystal structure comprising of ions, atoms, or molecules in an orderly arrangement.
Generally, molecules attach on the inside of a mineral to give it shape. Therefore, the molecule of a mineral is a crystal three-dimensional regular structure (arrangement) of chemical particles that are bonded together and determines its shape.
Furthermore, the chemical composition (property) of a mineral reflect the presence and arrangement of atoms in each.
Due to the fact that these molecules are structurally arranged (ordered) and are repeated by different symmetrical and translational operations, they determine the shape of minerals. Some examples of minerals are iron, copper, aluminum, tin, coal, quartz, feldspar, mica, etc.
Additionally, inorganic-crystalline solid substances which are found naturally within earth are referred to as minerals.
In conclusion, a mineral in the earth's crust exists naturally in form of solid elements or compounds.
chef in a local restaurant bought a bag of rice but he was puzzled to see some impurities such as sand, salt and some stapler pins mixed with the rice. Help him to separate the impurities. Sort the type of impurities ( Soluble/Insoluble) present in the bag.
Answer:
Soluble - salt
Insoluble - sand and stapler pins
Explanation:
The salt is soluble because it is an ionic solid which ready dissolves in water to form a solution.
The sand is insoluble because, it is a non-metallic solid which does not readily dissolve in water while, the stapler pin is insoluble because it is a metallic solid which does not readily dissolve in water.
what is netwon first law of motion
Answer:
Newton’s first law of motion states that there must be a cause—which is a net external force—for there to be any change in velocity, either a change in magnitude or direction. An object sliding across a table or floor slows down due to the net force of friction acting on the object.
Explanation:
Help quick physics area question
Answer: The area of brick in contact with the floor is 1539 [tex]cm^{3}[/tex].
Explanation:
Given: Length = 19 cm
Width = 9 cm
Height = 9 cm
As the brick is rectangular in shape. Hence, its area will be calculated as follows.
[tex]Area = length \times width \times height[/tex]
Substitute the values into above formula as follows.
[tex]Area = length \times width \times height\\= 19 cm \times 9 cm \times 9 cm\\= 1539 cm^{3}[/tex]
Thus, we can conclude that area of brick in contact with the floor is 1539 [tex]cm^{3}[/tex].
a car accelerates along a straight road from rest to 75km/h in 5.0s. What is the magnitude of its average acceleration? show up solutions
Answer:
4.186 m/s^2
Explanation:
First, convert km/hr to m/s:
(75 km/hr)(1000m/1km)(1hr/60min)(1min/60s) = 20.83 m/s
Then, divide 20.93 m/s by 5.0s
(20.93 m/s) / (5.0s) = 4.186 m/s^2
The lamps in circuit drawn below are all identical, Each of the cells have a potential difference of 1.5 volts What is the potential difference across the 3 cells that are joined in series
Answer:
4.5V
Explanation:
In a arrangement of cells, the cells could be joined end to end(series) or to a common junction (parallel).
When cells are joined in series, the total emf of the cell is the sum of the individual emf of all the cells.
Hence;
Total emf = 1.5V + 1.5V + 1.5 V = 4.5 Volts
Two persons are applying forces on two opposite sides of a moving cart.
The cart still moves with the same speed in the same direction. What
do you infer about the magnitudes and direction of the forces applied.
Answer:
the force is very strong between
A strong magnetic field surrounds Earth. How does Earth’s magnetic field help humans?
It holds people’s belongings tight to Earth’s surface.
It’s responsible for cycling water through Earth’s four spheres.
It keeps the solar wind from reaching Earth.
It helps people navigate using a compass.
It helps cool Earth’s surface.
Answer:
-It holds people's belongings tight to Earth's surface
-it helps cool Earth's surface
- it keeps the solar wind from reaching earth
A car traveling at a speed of 30 m/s encounters an emergency and comes to a complete
stop (vf = 0 m/s). How much time will it take for the car to stop if its acceleration is -4 m/s2?
Answer:
Explanation:
Use the one-dimensional equation
[tex]v_f=v_0+at[/tex] which says that the final velocity of an object is equal to the object's initial velocity plus its acceleration times time. We are looking for time. That means the equation looks like this:
0 = 30 + (-4)t and
-30 = -4t so
t = 7.5 sec
The time taken for the car to stop if its acceleration is -4.0 m/s² is 7.5 seconds.
What is Equation of motion?
According to equation of motion, three motion equations commonly referred to as the rules of constant acceleration, exist for a uniform acceleration.
To derive the components such as displacement(s), velocity(initial =u and final = v), time(t), and acceleration(a), these equations are utilized.
The equations can be,
v=u + at or, v = u-atv²=u²+2as s= ut+1/2 at²As we have to Calculate the time :
The formula for the motion equation is
v = u - at
v - final velocity
u - initial velocity
a - acceleration
t - time
Here, v = 0 ,
u = 30 m/s
a = -4 m/s²
So substituting in, v = u - at
⇒0 = 30 - 4t
⇒4t = 30
⇒t = 30/4
t = 7.5 seconds
Therefore, the required time calculated is 7.5 seconds.
Learn more about the equation of motion,
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how does gravity maintain the the atmospheric layer around earth ?
Please explain in a very easy way
will mark as BRAINLIEST
Answer:
Our atmosphere is a mixture of gases that surround Earth. It is kept in place by the pull of Earth's gravity. If Earth was a much smaller planet, like Mercury or Pluto, its gravity would be to weak to hold a large atmosphere
Explanation:
What is the conversation of energy
Answer:
The conservation of energy is a principle where according to which the energy of interacting bodies or particles in a closed system remains constant.
Explanation:
Answer:
a principle stating that energy cannot be created or destroyed, but can be altered from one form to another.
Please help meeeeeeeeeeeeeeeeee??????????!!!!!?!!??!!?!!!?
Amy put some salt in a weighing dish. Then she put the weighing dish on a sensitive balance to measure the mass of the salt. She removed the weighing dish from the balance and put it in several similar balances. She recorded the mass each time. Mass 1 Mass 2 Mass 3 Mass 4 Masse 5 5.608 g 5.607 g 5.608 g 5.608 g 5.609 g Amy forgot to subtract the mass of the empty weighing dish from her measurements, and she reported the mass of the salt as 5.608 grams. Amy's measurement of the salt's mass accurate because . Amy's measurement of the salt's mass precise because .
Answer:
Explanation:
i. Accuracy in measurement is a term that is used to describe the closeness of a measured value to its actual value. It relates the actual value to the measured values.
Therefore in the given question, Amy's measurement of the salt's mass is accurate because her final value is close to all the measured values.
ii. Precision in measurement is a term that is used to describe the closeness of different measured values to each other. It relates the keenness in the measured values.
Thus, Amy's measurements of the salt's mass is precise because the values of the masses are close to one another.
A dart with a mass of 0.5kg is thrown at 15m/s and sticks into a 1kg apple hanging
on a string. What is the total momentum of the objects before the collision?
Answer:
Before the collision:
m v1 = .5 kg * 15 m/s = 7.5 kg-m/s
Incidentally, after the collision
(M + m) v2 = 7.5
v2 = 7.5 / (1 + .5) = 5 m/s
What can you drop of liquid Mercury be described as?
a relative density bottle has a mass of 29.2 g when empty its mass is 116.2 g when it is full of liquid or diesel and when full of water it's mass is 129.2 g calculate the relative density of diesel
Answer:
0.87
Explanation:
Given :
Mass of bottle = 29.2 g
Mass when filled with diesel = 116.2 g
Mass when filled with water = 129.2 g
The mass of water = (Mass when filled with water - mass of bottle)
Mass of water = 129.2 - 29.2 = 100 g
Mass of diesel = (Mass when filled with diesel - mass of bottle)
Mass of diesel = 116.2 - 29.2 = 87
Relative density of diesel = mass of diesel / mass of equal volume of water
Relative density = 87 / 100 = 0.87
I WILL MARK U BRAINLIEST IF YOU ANSWER
BLUEBLACK COLOR IS FORMED WHEN STARCH AND IODINE IS MIXED .
an unforgettable day
Which statement describes how objects can be affected by a noncontact
force between then?
O A. An electric force between two objects will always cause them to
attract each other.
B. A gravitational force between Two objects will always cause then
to repel each other.
C. A magnetic force between two objects will always cause them to
attract each other.
D. An electric force between two objects may cause them to either
attract or repel each other.
Answer: D
Explanation:
summary on scaler quantity
Answer:
A quantity which does not depend on direction is called a scalar quantity. Vector quantities have two characteristics, a magnitude and a direction. Scalar quantities have only a magnitude. When comparing two vector quantities of the same type, you have to compare both the magnitude and the direction.
I rarely share my notes. But these are my last year notes, so I can share with you. Click on the photo to view the answer.
a branch falls from a tree.how fast is the branch moving after 0.28 seconds?
2.75 m/s. Hope this helps.
An oven consumes 425 kWh of energy in order to provide 386 kWh of useful energy. What is its percent efficiency?
Answer:
90.8%
Explanation:
efficiency = output / input
Simply just put in what we know.
386/425 = 0.908 (Rounded too 3 s.f)
And if you want this in percentage, you simply x100 your answer. Hence the answer being 90.8%
Sample Response: Yes, the law of conservation of momentum is satisfied. The total momentum before the collision is 1.5 kg • m/s, and the total momentum after the collision is 1.5 kg • m/s. The momentum stays the same after the collision. What did you include in your response? Check all that apply. The law of conservation of momentum is satisfied. The momentum before the collision is 1.5 kg • . The momentum after the collision is 1.5 kg • . The momentum is the same after the collision as it was before the collision.
Answer:
All options presented were applied to the answer.
Explanation:
The sample response presented in the question above, refers to a closed system where two molecules after colliding satisfy the conservation of momentum law, which can also be called the conservation law of linear momentum. This law states that in a closed system the initial state of the components must be maintained and remain the same until the final state, that is, the two molecules maintain their ideal momentum before and after the collision. This means that if they had 1.5 kg • m/s before the collision, this value must be maintained after the collision. All these concepts are presented in the sample response.
Answer:
What did you include in your response? Check all that apply. The law of conservation of momentum is satisfied. The momentum before the collision is 1.5 kg • m/s. The momentum after the collision is 1.5 kg • m/s. The momentum before and after the collision is the same.
Explanation:
The sample response presented in the question above, refers to a closed system where two molecules after colliding satisfy the conservation of momentum law, which can also be called the conservation law of linear momentum. This law states that in a closed system the initial state of the components must be maintained and remain the same until the final state, that is, the two molecules maintain their ideal momentum before and after the collision. This means that if they had 1.5 kg • m/s before the collision, this value must be maintained after the collision. All these concepts are presented in the sample response.
