Answer:
[tex]v_m \approx -4.38\; \rm m \cdot s^{-1}[/tex] (moving toward the incline.)
[tex]v_M \approx 4.02\; \rm m \cdot s^{-1}[/tex] (moving away from the incline.)
(Assumption: [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex].)
Explanation:
If [tex]g = 9.81\; \rm m \cdot s^{-2}[/tex], the potential energy of the block of [tex]m = 2.20\; \rm kg[/tex] would be [tex]m \cdot g\cdot h = 2.20\; \rm kg \times 9.81\; \rm m \cdot s^{-2} \times 3.60\; \rm m \approx 77.695\; \rm J[/tex] when it was at the top of the incline.
If friction is negligible, all these energies would be converted to kinetic energy when this block reaches the bottom of the incline. There shouldn't be any energy loss along the horizontal surface, either. Therefore, the kinetic energy of this [tex]m = 2.20\; \rm kg\![/tex] block right before the collision would also be approximately [tex]77.695\; \rm J[/tex].
Calculate the velocity of that [tex]m = 2.20\; \rm kg[/tex] based on its kinetic energy:
[tex]\displaystyle v_m(\text{initial}) = \sqrt{\frac{2\times (\text{Kinetic Energy})}{m}} \approx \sqrt{\frac{2 \times 77.695\; \rm J}{2.20\; \rm kg}} \approx 8.4043\; \rm m \cdot s^{-1}}[/tex].
A collision is considered as an elastic collision if both momentum and kinetic energy are conserved.
Initial momentum of the two blocks:
[tex]p_m = m \cdot v_m(\text{initial}) \approx 2.20\; \rm kg \times 8.4043\; \rm m \cdot s^{-1} \approx 18.489\; \rm kg \cdot m \cdot s^{-1}[/tex].
[tex]p_M = M \cdot v_M(\text{initial}) \approx 2.20\; \rm kg \times 0\; \rm m \cdot s^{-1} \approx 0\; \rm kg \cdot m \cdot s^{-1}[/tex].
Sum of the momentum of each block right before the collision: approximately [tex]18.489\; \rm kg \cdot m \cdot s^{-1}[/tex].
Sum of the momentum of each block right after the collision: [tex](m\cdot v_m + m \cdot v_M)[/tex].
For momentum to conserve in this collision, [tex]v_m[/tex] and [tex]v_M[/tex] should ensure that [tex]m\cdot v_m + m \cdot v_M \approx 18.489\; \rm kg \cdot m \cdot s^{-1}[/tex].
Kinetic energy of the two blocks right before the collision: approximately [tex]77.695\; \rm J[/tex] and [tex]0\; \rm J[/tex]. Sum of these two values: approximately [tex]77.695\; \rm J\![/tex].
Sum of the energy of each block right after the collision:
[tex]\displaystyle \left(\frac{1}{2}\, m \cdot {v_m}^2 + \frac{1}{2}\, M \cdot {v_M}^2\right)[/tex].
Similarly, for kinetic energy to conserve in this collision, [tex]v_m[/tex] and [tex]v_M[/tex] should ensure that [tex]\displaystyle \frac{1}{2}\, m \cdot {v_m}^2 + \frac{1}{2}\, M \cdot {v_M}^2 \approx 77.695\; \rm J[/tex].
Combine to obtain two equations about [tex]v_m[/tex] and [tex]v_M[/tex] (given that [tex]m = 2.20\; \rm kg[/tex] whereas [tex]M = 7.00\; \rm kg[/tex].)
[tex]\left\lbrace\begin{aligned}& m\cdot v_m + m \cdot v_M \approx 18.489\; \rm kg \cdot m \cdot s^{-1} \\ & \frac{1}{2}\, m \cdot {v_m}^2 + \frac{1}{2}\, M \cdot {v_M}^2 \approx 77.695\; \rm J\end{aligned}\right.[/tex].
Solve for [tex]v_m[/tex] and [tex]v_M[/tex] (ignore the root where [tex]v_M = 0[/tex].)
[tex]\left\lbrace\begin{aligned}& v_m \approx -4.38\; \rm m\cdot s^{-1} \\ & v_M \approx 4.02\; \rm m \cdot s^{-1}\end{aligned}\right.[/tex].
The collision flipped the sign of the velocity of the [tex]m = 2.20\; \rm kg[/tex] block. In other words, this block is moving backwards towards the incline after the collision.
Calculate the p.e. of a 5 kg mass when it is (i) 3 m, (ii) 6 m, above the ground. (g = 10 N/kg)
Explanation:
P.E=MGH
(1) P.E=5×10(G)×3
= 150 kg m^/s^ ( ^ =sqaure)
(2) P.E=5×10×6
= 300 kg m^/s^
Hope it helps, just remember the formula u can solve any question regarding gravition of earth (P.E=Mgh)
What is the average speed of a car that traveled for 192.5 miles in 3.5 hours?
Answer:
55miles per hour
Explanation:
speed=distance/time
speed=192.5miles/3.5hours
speed=55miles per hour
Answer:
55miles per hour
Explanation:
Simply divide the number you travelled with the hour you will get the answer.
f a substance is ionic, then it likely will
Answer:
Many ionic substances will dissolve completely in water to form an aqueous solution of cations and anions; this solution will conduct electricity.
Explanation:
Answer:
Many ionic substances will dissolve completely in water to form an aqueous solution of cations and anions; this solution will conduct electricity.
Explanation:
1. A pumpkin with a mass of 2 kg accelerates 2 m/s/s when an unknown force is applied to it. What is the amount of the force?
Answer:
The answer is 4 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question we have
force = 2 × 2
We have the final answer as
4 NHope this helps you
Planet X has a magnetic field with strength 0.70 G in the southern direction. When a probe is placed 50 mm east of a vertical wire it measures a field of 0.50 G in the southern direction. What would a probe read if placed 20 mm east of the vertical wire?
Answer:
0.20 G
Explanation:
The given parameters are;
The magnetic field strength of planet X = 0.70 G
The location of a probe in relation to the vertical wire = 50 m
The measurement of a probe placed 50 mm east of a vertical wire = 0.50 G
The location of the probe = 20 mm east of the vertical wire
Based on the given parameter, the wire is a current carrying conductor with a magnetic field acting tangent to the magnetic field lines.
Given that the measured Earth magnetic field reduces, we have that the magnetic field of the wire cancels the magnetic field of the Earth
As the probe moves closer to the wire the measured magnetic field in the southern direction reduces
When the probe is placed 20 mm from the wire, the magnetic field reduces to 20/50 × 0.50 G = 0.20G
A box of mass 60 kg is at rest on a horizontal floor that has a static coefficient of friction of 0.6 and a kinetic coefficient of 0.25
a)The minimum force necessary to start moving the box
b) The friction force and the acceleration of the box if a horizontal force of 400 N is applied
Answer:
a) F = 353.2 N
b) [tex]F_{f} = 147.2 N [/tex]
a = 4.21 m/s²
Explanation:
a) The minimum force necessary to start moving the box s given by:
[tex]\Sigma F = 0[/tex]
[tex] F - \mu_{s}N = 0 [/tex]
[tex] F = \mu_{s}mg [/tex]
Where:
F: is the force applied to move the box
μs: is the static coefficient of friction = 0.6
m: is the mass = 60 kg
g: is the gravity = 9.81 m/s²
[tex] F = 0.6*60 kg*9.81 m/s^{2} = 353.2 N [/tex]
b) The acceleration is:
[tex] F - F_{f} = ma [/tex]
[tex] F - \mu_{k}mg = ma [/tex]
[tex] a = \frac{F - \mu_{k}mg}{m} = \frac{400 N - 0.25*60 kg*9.81 m/s^{2}}{60 kg} = 4.21 m/s^{2} [/tex]
Now, the friction force is:
[tex] F_{f} = \mu_{k}mg = 0.25*60 kg*9.81 m/s^{2} = 147.2 N [/tex]
I hope it helps you!
draw a distance time graph for uniformly accelerated motion when object is an rest?
Answer: Distance-time graph is the plot of distance travelled by a body against time. Below is an example of a distance-time graph, if it is a straight horizontal line than the body is stationary, its speed is zero, if the line is diagonal than its moving with a constant speed and if it is anything other than a straight line then the speed is varying. Distance-Time Graph for Uniform Motion Let us now consider a distance-time graph in which the body is moving with uniform motion. A body is said to be in uniform motion when the body covers the equal distance in equal time intervals. Let’s consider a time interval of 1 second, If a body covers 10 meters in the first 1-second then it should cover 10 meters in every second from there on, this will indicate that the body is in uniform motion.
Explanation: I hoped that helped!!
Length of table is 1.0m,1.00m and 1.000m.Which one is more accurate?
Answer:
1.00 m is a more accurate measured length.
Explanation:
Denote length of the table by L.
For L=1.0 m, there is one significant digit after the decimal.
Care 1: When one more significant digit after decimal considered, the exact number can be from 0.95 to 1.05.
So, the possible span of error [tex]\Delta E_1= 1.05-0.95= 0.1m[/tex]
For L=1.00 m, there is two significant digits after the decimal.
Case 2: When one more significant digit after decimal considered, the exact number can be from 0.095 to 1.005.
So, the possible span of error [tex]\Delta E_2= 1.005-0.095= 0.01m[/tex]
Case 3: For L=1.000 m, there is three significant digits after the decimal.
When one more significant digit after decimal considered, the exact number can be from 0.0095 to 1.0005.
So, the possible span of error [tex]\Delta E_3= 1.0005-0.0095= 0.001m[/tex]
As [tex]\Delta E_1 >\Delta E_2>\Delta E_3[/tex]
So, the least error is in the third case when L=1.00m, hence, L= 1.00m is more accurate.
Which statement below correctly identifies the difference between LAWS and THEORIES. LAWS describe phenomena (things happening in nature), while THEORIES explain why phenomena exist. Or LAWS are a statement of fact, while THEORIES are a statement of opinion. LAWS are based on facts, while THEORIES are based on "hunches".
Answer: The statement that correctly identified the difference between laws and theories is
(LAWS describe phenomena (things happening in nature), while THEORIES explain why phenomena exist.)
Explanation:
LAW in the field of natural sciences is defined as a statement which describes a remarkable event( things happening in nature) after repeated close observations.
Example of law in natural science includes:
--> law of conservation of mass
--> law of conservation of energy
THEORY in the field of natural sciences is the explanation of these remarkable events after repeated observations. This helps in bringing together facts and hypothesis (ideas that can be tested with further scientific observations).
Example of theory includes:
--> kinetic theory of matter
--> Dalton's atomic theory.
Answer:
in short the answer is b
Explanation:
took nthe test
1. Day and Night are caused by
10 points
A. The Tilt of the Earth’s Axis.
B. Earth’s Revolution around the sun
C. Earth's ellipical orbit
D. Earth's rotation on its axis.
I need help on this question
Answer:
the 3rd one im pretty sure
Explanation:
Answer:the answer is answer 3
Explanation:
What is the final speed of an object that starts from rest and accelerates uniformly at 3.0 meters per second2 over a distance of 6.0 meters? (1) 8.0 m/s (2) 6 m/s (3) 16 m/s (4) 64 m/s
Answer:
16 m/s sir
Explanation:
because i am in collage
according to Newton's 1st law , an object without a net force ? What
Answer:
an object in motion stays in motion an object at rest stays in rest
Explanation:
an atom's nucleus contains three protons and three neutrons what is the overall charge of the nucleus
Answer:
Positive
Explanation:
Because there is no electrons.
does anyone know the answer ?
Answer:
it is 2 and 3 trust me I gotcha
The English Channel is 35 km wide at its narrowest point, which is where most swimmers attempt to cross north to south from England to France. The current across this portion of the English Channel runs at about 2 km/h east to west.
a. If a swimmer has a relative velocity to the shore of 3 km/h north to south, how long will it take her to cross the 35 km distance?
b. What must be her velocity relative to the water if she has a velocity of 3 km/h north to south relative to the shore?
Answer:
a.) 20.4 h
b.) 3.46 km/h
Explanation:
Given that an English Channel is 35 km wide at its narrowest point, which is where most swimmers attempt to cross north to south from England to France. The current across this portion of the English Channel runs at about 2 km/h east to west.
a.) If a swimmer has a relative velocity to the shore of 3 km/h north to south, The resultant velocity (Vr) will be achieved by using Pythagoras theorem
Vr = [tex]\sqrt{2^{2} + 3^{2} }[/tex]
Vr = [tex]\sqrt{4 + 9}[/tex]
Vr = [tex]\sqrt{12}[/tex]
Vr = 3.46 m/s
To get how long it take her to cross the 35 km distance, Let us first find acceleration by using third equation of motion.
[tex]V^{2} = U^{2} + 2aS[/tex]
Where U = 0
Substitute all the parameters into the equation
[tex]3.46^{2} = 2 x a x 35[/tex]
11.97 = 70a
a = 11.97/70
a = 0.17 km/h^2
The time can be found by using equation
V = U + at
let U = 0
3.46 = 0.17t
t = 3.46/0.17
t = 20.35h
b. What must be her velocity relative to the water if she has a velocity of 3 km/h north to south relative to the shore?
her velocity relative to the water will be
Vr = [tex]\sqrt{2^{2} + 3^{2} }[/tex]
Vr = [tex]\sqrt{4 + 9}[/tex]
Vr = [tex]\sqrt{12}[/tex]
Vr = 3.46 m/s
What is the relationship between kinetic and potential energy in a roller coaster.
Answer: Kinetic energy is energy that an object has as a result of its motion. Potential energy is stored energy that has not yet been released.
Explanation: All moving objects possess kinetic energy, which is determined by the mass and speed of the object. Potential energy is the energy an object has as a result of its position.
describe where the information and communication technology can be used it different section?
guys help me i will make you brainliest <3
Answer:
See below
Explanation:
ICT " Information and the communication technology" can be used in sectors like Telecommunications. ADB support for telecommunications and ICT is changing lives across the region. ...
ICT in Education. ICT can improve the efficiency and quality of education at all levels. ...
ICT in Public Sector Management. ...
ICT in Health. ...
ICT in Agriculture and Food Security.
( hope it helped <3 )
40 POINTS!
A 2,200 kg SUV is traveling at 25 m/s. What is the magnitude of its momentum?
A. 55,000 kg·m/s
B. 550 kg·m/s
C. 2,200 kg·m/s
D. 88 kg·m/s
Answer:55,000 kg•m/s
Explanation:
Skin cells have the function of protecting the body. What is the function of muscle cells?
Answer:
Skin serves as a protective barrier, a way to sense the world, and a layer that keeps nutrients and water inside the body. Four types of cells make up the skin, and they are produced mainly in the epidermis near the basement membrane. Keratinocytes contain structural keratin and make up the bulk of the epidermis.
Explanation:
A circular track has an inside cirumference of 220m. If the width of track is 3.5m, find its outer circumference.
Answer:
Lc = 242 [m]
Explanation:
The circumference is defined as the circumference length of a circle, this length can be calculated by means of the following equation.
[tex]L_{c}=2*\pi *r[/tex]
where:
Lc = circumference length = 220 [m]
r = radius [m]
Now we can clear r
[tex]r=\frac{L_{c}}{2*\pi } \\\\r = \frac{220}{2*\pi }\\\\r = 35.01 [m][/tex]
Now we can determine the outer radius with the inner diameter plus the width of the track.
R = r + 3.5
R = 35.01 + 3.5 = 38.51 [m]
The outer circumference is:
[tex]L_{c} = 2*\pi *38.51 \\L_{c} = 242 [m][/tex]
An astronaut is working outside the International Space Station where the atmospheric pressure is essentially zero. The pressure gauge on her air tank reads 690000 Pa. What force does the air inside the tank exert on the flat end of the cylindrical tank, a disk 0.150 m in diameter?
Answer:
Explanation:
Pressure = Force/Area
Given
Pressure = 690,000Pa
Area will be the area of the circular section of the cylindrical tank
Area of a circle =πd²/4
Area of a circle =π(0.15)²/4
Area of a circle = 3.14(0.0225)/4
Area of a circle = 0.07065/4
Area of a circle = 0.0176625m²
Get the force
Force = Pressure * Area
Force = 690,000* 0.0176625
Force = 12,187.125N
Hence the force applied by the air inside the tank is 12,187.125N
Why is it important to lean forward and listen
Which choice correctly defines magnetic poles? the points on the end of magnet, where the magnetic field is strongest the point on a magnet where one magnetic field cancels out another magnetic field the middle of a magnet where the magnetic field is zero different ends of a magnet where the magnetic field is weakest
Answer:
A. The points on the end of magnet, where the magnetic field is strongest.
Explanation:
A magnet is a substance that has the ability to attract magnetic materials, e.g iron, steel etc. It comprises of two poles (north-N and south-S) each at its two ends. The N-pole and S-pole are the points on a magnet that have the strongest magnetic field. The magnetic fields originates from the north pole, and terminates in the south pole of a magnet.
When the poles of two different magnets are brought close together, attraction or repulsion may occur.
The option that defines the magnetic poles is the points on the end of the magnet, where the magnetic field is strongest.
What is a magnetic field?Attracting other iron-containing objects or aligning themselves in a magnetic field.
There are two poles of the magnet;
1. the North Pole.
2. the South Pole.
The same poles repel each other, while the opposite poles attract each other.
Thus, the correct option is A.
To learn more about the magnet, refer to the link;
brainly.com/question/13026686
Iron filings were sprinkled around these two magnets. What do the iron filings
show?
O A. They show that magnetic field lines point away from the north
pole of magnets.
B. They show the pattern made by the magnetic field lines around the
magnets
C. they show that magnetic field lines often cross over each other when magnets repel
D. they show the locations of the magnetic domains in the magnets
please help no ones questions match mine!!!
Answer:
B. They show the pattern made by the magnetic field lines around the
magnets
Explanation:
Using iron fillings, the pattern of the magnetic field lines around a bar magnet can be known.
Magnetic field lines are the line of force around a bar magnet.
These iron fillings will trace the pattern of the magnetic field around the magnet. The domains of the iron fillings begins to align and orient with that of the prevailing magnetic field around. Those areas with the strongest force will attract more fillings and those far away will attract lesser fillings.Answer:
B
Explanation: E Z
Which reaction is an acid-base neutralization reaction?
A. Mg + 2HCl → MgCl2 + H2
B. HCl + NaOH → NaCl2 + H2O
C. SiCl4 → Si2 + 2Cl2
D. N2 + 3H2 → 2NH3
Answer:
option B is correct
Explanation:
neutralization is the reaction between acid and base to produce water and salt therefore option B is correct
A man carries a load of mass 2.6kg from one end of a uniform pole 100cm long which has a mass 0.4kg. The pole rest on his shoulder at a point 60.0cm from the load and he holds it by the other end. What vertical force must be applied by his hand and what is the force on his shoulder?
Answer:
F = 39.2 N (hand force) and N = 68.6 N (shoulder force)
Explanation:
In this exercise we must use the rotational and translational equilibrium conditions, we have several forces: the weight (W) of the pole applied at its geometric center, the load (w1) at one end, the shoulder support (N) 60 cm from the load and hand force (F) at the other end of the pole
Let's set the reference system at the fit point of the shoulder
∑ τ = 0
We will assume that the counterclockwise turns are positive
w₁ 0.60 + W 0.1 + F₁ 0 - F 0.4 = 0
all distances are measured from the support of the man (x₀ = 0.60 m)
F = (w₁ 0.60 + W 0.1) / 0.4
F = (m₁ 0.6 + m 0.1) g / 0.4
let's calculate
F = (2.6 0.6 + 0.4 0.1) 9.8 / 0.4
F = 39.2 N
this is the force that the hand must exert to keep the system in balance
We apply the translational equilibrium condition
-w₁ -W + N - F = 0
N = w₁ + W + F
N = (m₁ + m) g + F
let's calculate
N = (2.6 + 0.4) 9.8 + 39.2
N = 68.6 N
5. Suppose you have three identical drinking cups: one made of plastic, one foam, and one paper.
You want to find out which cup will keep your hot cocoa hot for the longest time.
a. Phrase a formal question for this experiment.
b. What is your hypothesis?
c. What is the experimental variable?
d. What are three important control variables?
e. What type of evidence will you collect to test your hypothesis?
f. Challenge: Conduct your experiment and summarize your findings.
Answer:
a) How the cooling speed changes with glasses of different materials?
b) The glass material influences the cooling rate
c) temperatures initial, final and the time
d) the control variable is time
e)temperature of the beverage heated in a given time
f) best material for insulation was expanded
Explanation:
This is a problem of how to formulate an experiment using the scientific method
a) a question for this problem to follow.
How the cooling speed changes with glasses of different materials?
b) the hypothesis of the experiment is:
The glass material influences the cooling rate
c) we have the independent variable that the experimenter controls
the material of the glass, the initial temperature of the drink and the cooling time
the dependent variable is the one that is measured
the temperature of the drink and the time
d) the control variable is time
e) the evidence would be the temperature of the beverage heated in a given time
f) When conducting the experiment, the thermal conductivity of the material is the most important factor, the one with the lowest thermal conductivity is the one that keeps the drinks longer
in general, the conductivity ends of paper 0.24 W/m K and that of plastic is 0.06 W / m K, of expanded 0.03 W / m K
From these values it is experienced that the best material for insulation was expanded
A ball is thrown horizontally at a speed of 16 m/s from the top of a cliff. If the ball hits the ground 6.0 s later, approximately how high is the cliff? 360m 240m 180m 150m
Answer:
Y = 176.4 m
Explanation:
For the height of cliff we will analyze the vertical motion. We will apply the 2nd equation of motion:
Y = V₀y*t + (0.5)gt²
where,
Y = Height = ?
V₀y = Initial Vertical Velocity = 0 m/s (since, ball is thrown horizontally)
t = time = 6 s
g = 9.8 m/s²
Therefore,
Y = (0 m/s)(6 s) + (0.5)(9.8 m/s²)(6 s)²
Y = 176.4 m
What is the focal length of a lens?
A.
the distance between the object and the image
B.
distance between the object and the center of the lens
C.
the distance between the center of the lens and the image
D.
the distance between the focal point and the center of the lens
Answer is D.the distance between the focal point and the center of the lens.
Answer:
it is B i took the test and got it wrong when someone said it was A
Explanation:
it is the one that says the sizing of the objects will appear unusual