A 1,450 kg car drives toward a 60 kg shopping cart that has a velocity of -1.2 m/s toward the car. The two objects collide, giving the car a final velocity of 5.13 m/s, and the shopping cart a velocity of 11.75 m/s. What was the initial velocity of the car?
A. 5.67 m/s
B. 5.36 m/s
C. -5.36 m/s
D. -5.67 m/s
Answer:
A) v₁ = 5.66 [m/s]
Explanation:
To solve this problem we must use the definition of linear momentum conservation, which tells us that momentum is conservation before and after a collision.
The linear momentum is equal to the mass by the product of the Velocity.
P = m*v
where:
P = lineal momentum [kg*m/s]
m = mass [kg]
v = velocity [m/s]
Now, to the right side of the equal sign will take the linear momentum before the collision and to the left side of the equal sign as after the collision.
Pbefore = Pafter
(m₁*v₁) - (m₂*v₂) = (m₁*v₃) + (m₂*v₄)
where:
m₁ = mass of the car = 1450 [kg]
v₁ = velocity of the car before the collision [m/s]
m₂ = mass of the shopping cart = 60 [kg]
v₂ = velocity of the shopping cart before the collision = -1.2 [m/s]
v₃ = velocity of the car after the collision = 5.13 [m/s]
v₄ = velocity of the shopping cart after the collision = 11.75 [m/s]
Now replacing:
(1450*v₁) - (60*1.2) = (1450*5.13) + (60*11.75)
1450*v₁ - 72 = 7438.5 + 705
1450*v₁ = 7438.5 + 705 + 72
1450*v₁ = 8215.5
v₁ = 5.66 [m/s]
Answer:
5.67 m/s
Just did it.
What is the time interval in which the average velocity is Negative?
Explanation:
Average velocity indicates direction and can be represented as a negative number when the displacement is in the negative direction. Average speed does not indicate direction and can only be positive or zero.
Question 5
Scientists have discovered that the inner core of Earth is a solid while the outer core is a liquid. What is the cause of this observation?
-The outer core has a higher temperature and more pressure than the inner core
-The outer core has a lower temperature and lower pressure than the inner core
-The inner core has a lower temperature and higher pressure than the outer core
-The inner core has a higher temperature and lower pressure than the outer core
Question 6
Scientists have discovered convection currents inside Earth. Explain how these convection currents move and what layer(s) they occur in.
Answer:
Question 5: The outer core has a lower temperature and lower pressure than the inner core
This is because the outer core is not as hot as the inner core. It is also under slightly less pressure. Due to this, the outer core is liquid and less dense than the inner core.
Question 6: I'm not sure what the answer to that is.. but I believe you'll figure it out!
Answer:
The reason why the inner core of planet Earth is a solid while the outer core is a liquid is because: B. The outer core has a lower temperature and lower pressure than the inner core.
Earth refers to one of the planetary bodies that rotates on its axis and revolves around the Sun in slightly elliptical orbits.
Generally, Earth comprises four (4) distinct layers starting at the center and these include;
The inner core.
The outer core.
The mantle.
The crust.
The inner core is the deepest layer of planet Earth and a solid while the outer core is a liquid.
One of the strategies used by scientists to learn about Earth's deepest layers, inner and outer structure is by recreating high-pressure conditions in a laboratory.
According to these experiments conducted by scientists on planet Earth, the pressure in the inner core is immense and over three (3) million times greater than the pressure on Earth’s outer core.
In conclusion, the inner core has a higher temperature and higher pressure than the outer core of planet Earth, thereby, making the inner core of planet Earth is a solid while the outer core is a liquid.
Explanation:
What is the overall force if there are 45N to the left and 30N to the right?
Answer:
15N
Explanation:
Answer:
15N
Explanation:
F=(45-30) N=15N
.........
Which of the following is a chemical change?
A. Water vapor in the air turns to liquid water in the form of rain
B. The oxygen in the air forms ozone in presence of UV rays
C. Dust and soot particles being suspended in the air
D. Sulphur dioxide being released in the air
Answer:
B
Explanation:
How long does it take for skin to replace itself
Throughout your life, your skin will change constantly, for better or worse. In fact, your skin will regenerate itself approximately every 27 days. Proper skin care is essential to maintaining the health and vitality of this protective organ.
Help a Girl Out and Answer This you will get Brainliest, Thanks, and more points if your answer is correct (:
So I already know A is where the suns energy is produced.
Here are the options for the rest :
• region of the sun that is visible from earth
• appears as a red ring around the sun right before and after the peak of a total solar eclipse
• region that energy travels to through radiation ( movement of high energy particles )
• appears as a white ring or crown around the sun at the time of total solar eclipse
so please tell me the answer for each ( A, B, C, D ) thank you !
Answer:
this was 2 weeks ago, but im pretty sure the correct answers are:
B=c
C=d
D=b
hope this helps and is correct :)
Water waves with a frequency of 4.5 Hz and a wavelength of 2.0m are traveling across a small harbor that is 200 m wide. How long does it take the waves to travel from one side of the harbor to the over?
Answer:
22.2 seconds
Explanation:
recall that for a regular wave
v = fλ
where v = wave velocity (we need to find this to solve the next part)
f = frequency = 4.5 Hz
λ = wavelength = 2.0m
Substituting these into the equation above,
v = fλ
v = (4.5)(2)
v = 9.0m/s
Also recall that Distance travelled = velocity x time
in our case, we found velocity above (= 9.0 m/s) and the distance across the harbor is given as 200m, hence
Distance travelled = velocity x time
200 = 9.0 x time
time = 200/9.0
time = 22.2 seconds
YO YO I NEED HELP!!!
Answer: Light energy
Explanation: Light energy is a form of radiant energy that is visible to the human eye.
PWEESE HELP
LOOK AT THE IMAGE BELOW
Answer: 2 m/s is the answer
Explanation:
the diagram below represents a 4.0-newton force applied to a 0.200-kilogram copper block sliding to the right on a horizontal steel table
Question is not complete, so i have attached it.
Answer:
A) W = 1.962 N
B) F_f = 0.706 N
C) F_net = 3.294 N
Explanation:
A) The block is 0.2 kg.
Formula for weight is;
W = mg
W = 0.2 × 9.81
W = 1.962 N
B) Magnitude of the force acting on the moving block is given by;
F_f = μmg
Where μ is coefficient of kinetic friction
Coefficient of kinetic friction for copper(mild steel) from online sources is 0.36
Thus;
F_f = 0.36 × 1.962
F_f = 0.706 N
C) Magnitude of net force is;
F_net = F_applied - F_f
F_net = 4 - 0.706
F_net = 3.294 N
1. The weight of the copper block is equal to 1.96 Newton.
2. The magnitude of the force acting on the moving copper block is 0.7056 Newton.
3. The magnitude of the net force acting on the moving copper block is 3.2944 Newton.
Given the following data:
Force = 4 NewtonMass of copper block = 0.200 KgWe know that the acceleration due to gravity (g) of an object on planet Earth is equal to 9.8 [tex]m/s^2[/tex].
We know that the coefficient of kinetic friction for copper is equal to 0.36.
1. To determine the weight of the copper block:
[tex]Weight = mg\\\\Weight = 0.200 \times 9.8[/tex]
Weight = 1.96 Newton
2. To determine the magnitude of the force acting on the moving copper block:
Mathematically, the force of kinetic friction is given by the formula;
[tex]F_k = umg[/tex]
Where;
u is the coefficient of kinetic friction.g is the acceleration due to gravity.m is the mass of an object.Substituting the parameters into the formula, we have;
[tex]F_k = 0.36 \times 0.200 \times 9.8\\\\F_k = 0.7056 \;Newton[/tex]
3. To determine the magnitude of the net force acting on the moving copper block:
[tex]F_{net} = F - F_k\\\\F_{net} = 4-0.7056\\\\F_{net} = 3.2944\;Newton[/tex]
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What is the effect on the current in a simple circuit when both the voltage and the resistance are halved?
Answer:
It doesn't change. It stays the same.
I hopes this helped you and if it did I'm glad I helped someone!!!
Explanation:
If a block is in equilibrium, the magnitude of the block’s acceleration is
Answer:
zero.
from newton's first law of motion
pls help me i’m begging u
Answer:
C
Explanation:
Balanced forces cancel each other out so they do not change the object's motion
what is Newton's second law of motion?
What is Newton's second law of motion?
Answer:-Newton's second law of motion states that the rate of change of momentum is directly proportional to the applied force and the direction of change of momentum takes place towards direction of applied force.
[tex] \bullet [/tex]What do you come to know from Newton's second law of motion?1. Concept of Momentum.
2. Measurement of Force.
_____________________________________
[tex] \bf Hope \: it \: helps \: you [/tex] .Answer:
Newton's second law of motion can be formally stated as follows: The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object
Hopefully u will satisfy with my answer of ur question..!!Mark on brainleast please..!!A bus initially moving at 20 m/s with an acceleration of -4m/s2 for 5
seconds. What is the displacement AND final velocity?
Answer:
50m; 0m/s.
Explanation:
Given the following data;
Initial velocity = 20m/s
Acceleration, a = - 4m/s²
Time, t = 5secs
To find the displacement, we would use the second equation of motion;
[tex] S = ut + \frac {1}{2}at^{2}[/tex]
Substituting into the equation, we have;
[tex] S = 20*5 + \frac {1}{2}*(-4)*5^{2}[/tex]
[tex] S = 100 + (-2)*25[/tex]
[tex] S = 100 - 50[/tex]
Displacement, S = 50m
Next, to find the final velocity, we would use the third equation of motion;
[tex] V^{2} = U^{2} + 2aS [/tex]
Where;
V represents the final velocity measured in meter per seconds. U represents the initial velocity measured in meter per seconds. a represents acceleration measured in meters per seconds square.Substituting into the equation, we have;
[tex] V^{2} = U^{2} + 2aS [/tex]
[tex] V^{2} = 20^{2} + 2(-4)*50 [/tex]
[tex] V^{2} = 400 - 400[/tex]
[tex] V^{2} = 0[/tex]
Final velocity, V = 0m/s
Therefore, the displacement of the bus is 50m and its final velocity is 0m/s.
URGENT. A carrot hangs from the ceiling by a rope,
What is the correct free body diagram for the carrot
Answer:
The answer is B
Explanation:
A space rover weighs less on Mars than it does on Earth. Which statement
explains this difference?
A. The rover is farther from Earth,
B. The rover has less mass on Mars.
C. The mass of Mars is less than the mass of Earth.
D. The gravitational constant is smaller on Mars than on Earth.
Answer:
C.) the mass of mars is less than the mass of earth.
Explanation:
The more mass of the planet, the stronger the gravitational pull is. The rover will seem lighter on mars because there is less gravity pulling it onto the planet.
The mass of mars is less than the mass of earth.
What is Earth?
The more mass of the planet, the stronger the gravitational pull is. The rover will seem lighter on mars because there is less gravity pulling it onto the planet.
Earth, the third planet from the Sun, is the planet where all known life is found. Although the Solar System contains enormous amounts of water, only Earth is home to liquid surface water.
The ocean covers roughly 70.8% of Earth's surface, dwarfing the polar ice, lakes, and rivers. Earth's surface is made up of continents and islands for the remaining 29.2% of its total area.
Therefore, The mass of mars is less than the mass of earth.
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A baby carriage is rolling down a hill at 18 m/s. If the carriage has 90J of kinetic energy, what is the mass of the carriage? a. 5 kg b. 0.56 kg c. 10 kg d. 100 kg
Answer:
why did the parents let go of their child-
Explanation:
A 5 kg, because 90 / 18 is 5
The mass of the carriage is 10 kg
The formular for kinetic energy
K.E= 1/2mv²
Kinetic energy= 90 joules
velocity= 18 m/s
mass= ?
90= 1/2 × mass × 18
90= 0.5 × 18 × mass
90= 9 × mass
mass= 90/9
= 10 kg
Hence the mass of the carriage is 10 kg
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An object has a coefficient of kinetic friction of 0.2 and a normal force of 30N. Find the force of kinetic friction.
Answer:
Force of kinetic friction, Fk = 6N
Explanation:
Given the following data;
Coefficient of kinetic friction, μ = 0.2
Normal force, Fn=30N
To find the Force of kinetic friction;
Mathematically, the force of kinetic friction is given by the formula;
Fk = μFn
Where;
Fk represents the force of kinetic friction. μ represents the coefficient of friction. Fn represents the normal force.Substituting into the equation, we have;
Fk = 0.2*30
Fk = 6N
Therefore, the force of kinetic friction is 6N.
A force that is present between two moving objects or surfaces is called kinetic friction. It is estimated in newtons (N) and is calculated by:
[tex]\rm F_{k} =\rm \mu _{\rm k} F_{n}[/tex]
Where, [tex]\rm F_{k}[/tex] = frictional force, [tex]\mu _{\rm k}[/tex] = coefficient, [tex]\rm F_{n}[/tex] = normal force.
The kinetic friction of the object is 6N.
The kinetic friction can be estimated as:
Given,
Coefficient of kinetic friction ([tex]\mu[/tex]) = 0.2Normal force [tex]\rm F_{n}[/tex] = 30 NSubstituting values in the formula:
[tex]\rm F_{k} =\rm \mu _{\rm k} F_{n}[/tex]
[tex]\begin{aligned}\rm F_{k} &= 0.2 \times 30\\\\\rm F_{k} &= 6 \rm N\end{aligned}[/tex]
Therefore, 6N is the frictional force.
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an archer shoots an arrow into a target using a bow. If the "action" force is the force of the bowstring against the arrow, what is the "reaction force?
a. the arrow's push against the bowstring
b. weight of the arrow
c. the archer's hand gripping the bowstring
d. the bowstring's force on the bow
calculate the value of net force acting on given body?5N acting towards right & 15N force acting towards left on the brick.(draw fbd)
please help!!!!!
Answer:
-10N to the left.
Explanation:
The net force on a body is the single force that represent all the forces acting on a body.
Let the right direction be positive
Let the left direction be negative
Force acting to the right = 5N
Force acting to the left = -15N
Net force = 5N + (-15N) = -10N
The net force will be directed -10N to the left.
A skier rides horizontally off of a 200 meter high cliff. If he lands 25 meters away from
the base of the cliff, how fast was he skiing as he went off the edge?
Answer:3.91
Explanation:
In case of a long jump, the span of jump depends upon:
a
Maximum height attained
b Angle of projection
с
Both maximum height attained and angle of
projection
d None of the above
Answer:Both maximum height attained and angle of projection
Explanation:
How are the skeletal and circulatory systems alike?
Explanation:
The calcified bones of our skeleton work with circulatory system. Marrow inside our bones helps to produce cell inside blood. Both red blood cell and white blood cell are produced in bones. Circulatory system delivers oxygenated blood into bones.
In a classic experiment, a ball (Ball 1) is dropped from a specific height. At the same
time, an identical ball (Ball 2) is launched horizontally from the same height. Which
ball hits the ground first?
A.) The dropped ball (Ball 1) because its path is shorter,
B.) The launched ball(Ball 2) because the ball's velocity is greater.
C.) The two balls will reach the ground at the same time because the horizontal and vertical planes of motion are independent of each other and they were also released from the same height.
D.) It is not possible to determine which ball hits the ground first because of the complex nature of motion
Answer: C
Explanation:
Gravity is acting equally on both objects causing the same vertical velocity because they are the same objects. The object launched horizontally off a cliff has a longer range because of the greater initial horizontal velocity
Hope this helps you, sweetie!
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Have a marvelous day! {:0)
The answer to the question related to the time for two balls to reach the ground is option C, the two balls will reach the ground at the same time because the horizontal and vertical planes of motion are independent of each other, and they are also released from the same height.
When a ball is dropped, knowing the height we could find the time with the following equation:
[tex] y_{f} = y_{i} + v_{i_{y}}t - \frac{1}{2}gt^{2} [/tex] (1)
Where:
[tex] y_{f} [/tex]: is the final height
[tex] y_{i} [/tex]: is the initial height
[tex]v_{i_{y}}[/tex]: is the initial speed of the ball in the vertical direction = 0 (it is dropped)
g: is the acceleration due to gravity
When the ball is launched horizontally from the same height, we could find the time with equation (1) since the acceleration in the horizontal direction is zero and the initial velocity in the vertical direction is also zero.
The horizontal motion is related to the equation:
[tex] x = v_{i_{x}}*t [/tex] (2)
We can notice in both cases that the ball is accelerated only by gravity.
Let's evaluate each statement
A) This statement is incorrect because the path is the same for both cases. The ball is dropped and launched from the same height.
B) This statement is also incorrect. The velocity of the dropped ball is the same as the velocity of the launched ball because the ball is accelerated only by gravity.
C) This statement is correct. We can see that we would get the same time in equation (1) since [tex]v_{i_{y}}[/tex], [tex]y_{f}[/tex], and [tex]y_{i}[/tex] is the same for the dropped ball and the launched ball.
D) This statement is incorrect. The nature of motion is related to a freefall motion in both cases.
Therefore, the answer is option C.
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What does a horizontal line on a position time graph indicate
A horizontal line means the object is. not changing its position it is not moving, it is at rest.
Answer:
horizontal lines on any chart is where the y axis values are equal.
define a machine in the physics subject
Answer:
Explanation:
Different Parts of an Electric Motor and Their Function
A simple motor has the following parts:
A power supply – mostly DC for a simple motor
Field Magnet – could be a permanent magnet or an electromagnet
An Armature or rotor
Commutator
Brushes
Axle
Power Source: A simple motor usually has a DC power source. It supplies power to the motor armature or field coils.
Commutator: It is the rotating interface of the armature coil with a stationary circuit.
Field Magnet: The magnetic field helps to produce a torque on the rotating armature coil by virtue of Fleming’s left-hand rule.
Armature Core: Holds the armature coil in place and provides mechanical support.
Armature Coil: It helps the motor to run.
Brushes: It is a device that conducts current between stationary wires and moving parts, most commonly the rotating shaft.
What Is The Working Principle of An Electric Motor?
The working of an electric motor is based on the fact that a current carrying conductor produces a magnetic field around it. To better understand, imagine the following situation.
Take two bar magnets and keep the poles facing each other with a small space in between. Now, take a small length of a conducting wire and make a loop. Keep this loop in between the space between the magnets such that it is still within the sphere of influence of the magnets. Now for the last bit. Connect the ends of the loop to battery terminals.
Once electricity flows through your simple circuit, you will notice that your loop “moves”. So why does this happen? The magnetic field of the magnets interferes with that produced due to electric current flowing in the conductor. Since the loop has become a magnet, one side of it will be attracted to the north pole of the magnet and the other to the south pole. This causes the loop to continuously rotate. This is the principle of working of electric motor.
Is a ball a wheel and axle if so how do you calculate the Mechanical Advantage of the ball? If not what kind of simple machine is a ball?
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