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.
You notice that when you turn off your bedroom lights, the kitchen lights can stay on. Based on this observation, what kind of circuit was used to wire the lights in your house? A. Parallel circuits because there are two or more paths for the current to flow. B. Series circuits because the current through each component is the same. C. Series circuits because there are two or more paths for the current to flow. D. Parallel circuits because the current through each component is the same.
Answer:
the correct answer is A
Explanation:
In a series circuit the current flows through the circuit and when it is opened at some point the current stops throughout the circuit.
In a parallel circuit, the current flows through the different branches of the circuit and when the current in one branch is interrupted, it continues to flow through the others.
In this exercises they indicate that the bedroom lights are turned off (the circuit was opened), but the kitchen lights are still on, therefore it is a parallel circuit with at least two branches, the current that circulates through each one depends on the existence on each branch.
Therefore the correct answer is A
what are some advantages of gravitational energy
Answer:
Explanation: Gravity keeps our bones and bodily muscles from not working, things like dams can be one example of gravitational energy being used for our benefits. Without gravitational energy, our earth most likely won't stay in it's own atmosphere. Another example is like a car on the top of the hill, or a snow pack (Where an avalanche might happen)
Max, who has a mass of 80 kg and his girlfriend, Allison, who has a mass
of 50 kg are wearing skates and are standing together on a frozen lake. If
they push apart and Max has a velocity of 0.72 m/s in the south direction,
then what is the velocity of Allison? (Neglect friction)
Answer:
I don't know but focus on that she ways less so she will have a higher velocity
PLEASE help!!
"A gas has an initial pressure of 296 atm, is now at 1246 atm (final pressure) and a final volume of 72 L, what is the initial volume of this gas?"
Answer:
in which standard you are, i am typing your answer till please reply.
If the density of water is 1000 kg/m², what is the pressure at the bottom of a swimming pool 2m
deep when it is full of water?
The pressure at the bottom when the given tank is full of water will be 19600 Pa.
Pressure can be calculated by the formula,
[tex]\bold {P = \rho h g}[/tex]
Where,
P- pressure = ?
[tex]\bold {\rho}[/tex] - density of water = 1000 kg/m²
h - height of water = 2 m
g - gravity acceleration = 9.8 m/s
Put the values in the formula
[tex]\bold {P = 2 \times 1000 \times 9.8} \\\\\bold {P = 19600\ Pa}[/tex]
Therefore, the pressure at the bottom when the given tank is full of water will be 19600 Pa.
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It will take 3000 Joules of energy to push a large moving box up a ramp and into the back of a truck in 10 mins. If the length of the ramp is 15 meters, how much force will be required to accomplish this task?(include the units)
Answer:84
Explanation:
To solve this we must be knowing each and every concept related to force. Therefore, 200N is the force that will be required to accomplish this task.
What is force?When applied, force is described as an external source that alters or tends to modify the condition of the body. If indeed the body is moving this should come to rest, but if it is at rest, it will move. It can also induce changes in the body's orientation, form, size, and so on.
One example is pushing or shoving a door with force. Vector quantity, which means it has a magnitude as well as a direction. Newton's second law states that force is defined as the "product of such a body's acceleration and mass.
energy = 3000 Joules
time=10 mins
length = 15 meters
work= energy=force ×length
force ×15= 3000
force =200N
Therefore, 200N is the force that will be required to accomplish this task.
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A snail crawling at 5 mm/s travels 2 m along a wall. How long does this take?
Answer:
0.4
Explanation:
time is disance divided by speed.
helppppppppppppppppp
Answer:
Burning of paper
Explanation:
Because new substance is formed
For a straight line on a position-time graph, the slope of the line represents:
Group of answer choices
velocity
displacement
acceleration
distance
An object is dropped from a height of 78.0 m. How long will it take to hit the ground?
Answer:
3.98978287s
Explanation:
v²=u²+2as
v²=0²+2(9.8)(78)
v²=1528.8m/s
∴v=39.09987212m/s (speed when object hits the ground)
v=u+at
39.09987212=0+9.8t
∴t=3.98978287s
A trolley at rest is pushed to accelerate at a
uniform rate of 0.50 m/s2. What is its velocity after it
has traveled 4.0 m?
A. 0.13 m/s
B. 2.0 m/s
C. 3.5 m/s
D. 4.0 m/s
HELP ASAP HELP Two tennis balls of the same mass are served at different speeds: 30 m/s and 60 m/s. Which serve has more kinetic energy and by how much? Defend your answer. *
Answer:
The second ball has four times as much kinetic energy as the first ball.
Explanation:
Kinetic Energy
Is the type of energy an object has due to its state of motion. It's proportional to the square of the speed.
The equation for the kinetic energy is:
[tex]\displaystyle K=\frac{1}{2}mv^2[/tex]
Where:
m = mass of the object
v = speed at which the object moves
The kinetic energy is expressed in Joules (J)
Two tennis balls have the same mass m and are served at speeds v1=30 m/s and v2=60 m/s.
The kinetic energy of the first ball is:
[tex]\displaystyle K_1=\frac{1}{2}m\cdot 30^2[/tex]
[tex]\displaystyle K_1=\frac{1}{2}m\cdot 900[/tex]
[tex]K_1=450m[/tex]
The kinetic energy of the second ball is:
[tex]\displaystyle K_2=\frac{1}{2}m\cdot 60^2[/tex]
[tex]\displaystyle K_2=\frac{1}{2}m\cdot 3600[/tex]
[tex]K_2=1800m[/tex]
Being m the same for both balls, the second ball has more kinetic energy than the first ball.
To find out how much, we find the ratio:
[tex]\displaystyle \frac{K_2}{K_1}=\frac{1800m}{450m}[/tex]
Simplifying:
[tex]\displaystyle \frac{K_2}{K_1}=4[/tex]
The second ball has four times as much kinetic energy as the first ball.
Answer:
he second ball has four X as much kinetic energy as the first ball
Explain:
Kinetic Energy Is the type of energy an object has due to its state of motion. It's proportional to the square of the speed
m/the mass of the object
v/the speed at which the object moves
The kinetic energy is expressed in Joules (J)
Two tennis balls have the same mass m and are served at speeds v1=30 m/s and v2=60 m/s.
Being m the same for both balls, the second ball has more kinetic energy than the first ball. So there for The second ball has four times as much kinetic energy as the first ball.
If the strength of the magnetic field at B is 6 units, the strength of the magnetic field at A is _____.
A. 1.5 units
B. 0.75 units
C. 24 units
D. 10.6 units
Answer:
I think its c but am not quite sure
Explanation:
pls mark me as brainlist
Answer:
24 units
Explanation:
hope this helps :)
While in a car at 4.47 meters per second a passenger drops a ball from a height of 0.70 meters above the top of a bucket how far in front of the bucket should the passenger drop the ball such that the ball will land in the bucket?
Answer:
1.7 m
Explanation:
[tex]v_x[/tex] = Velocity of ball in x direction = 4.47 m/s
[tex]u_y[/tex] = Velocity of ball in y direction = 0
g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
t = Time taken
[tex]s_y[/tex] = Vertical displacement = 0.7 m
[tex]s_y=u_yt+\dfrac{1}{2}gt^2\\\Rightarrow 0.7=0+\dfrac{1}{2}\times 9.81t^2\\\Rightarrow t=\sqrt{\dfrac{0.7\times 2}{9.81}}\\\Rightarrow t=0.38\ \text{s}[/tex]
Horizontal displacement is given by
[tex]s_x=v_xt\\\Rightarrow s_x=4.47\times 0.38\\\Rightarrow s_x=1.7\ \text{m}[/tex]
The passenger should throw the ball 1.7 m in front of the bucket.
What is the form of energy that our eyes can detect?
A. Sound Energy
B. Chemical Energy
C. Light Energy
D. Thermal Energy
Answer: C. Light energy.
Explanation:
I need help asappp!!! Help b trcrcrhhvvcc
Answer:
the answer is c. hope this help you out
What is the difference between physical & chemical changes?
Slate whether each is an example of a Physleat (P) or Chemteal (C) property
1. Arock's density
2. boiling point of Gatorade
3. ability of an old car to rust
4. red color of a pe apple
S ability of wood to ignite
8. bitler taste of a lemon
7. melting point of wax
8. hardness of marble
9. Luster (shininess) of gold
boiling point Gatoride
Gary saved dimes and nickels at a ratio of 5:7. Then, he saved 20% more dimes and 3 times the original number of nickels. If he had 540 dimes and nickels altogether in the end, how many more nickels than dimes did he have ?
Answer:
i think 53 or 56
Explanation:
cause i cross multiplied and got that
Answer :
He had 300 more nickels than dimes in the end
Explanation:
The ratio of dimes and nickels has changed to 6:21; we have known this son that is 540 dimes and nickels together the. We can make a proportion difference/sum=15/27= difference/540. By cross multiplying, difference=15 x 540 divided by 27= 300
Which gives us the answer that he had 300 mor nickels than dimes in the end.
A subway car moves at a constant speed of 10 m/s over a period of 10 s. What is the instantaneous speed halfway through this motion
Answer: 10 m/s
We're told the speed is constant, so it's not changing throughout the time period given to us. So throughout the entire interval, the speed is 10 m/s.
List and describe the 5 health reaped components of fitness.
Answer:
(1) body composition, (2) flexibility, (3) muscular strength, (4) muscular endurance, and (5) cardiorespiratory endurance.
If mass of the ball is 5kg how to calculate the potential energy?!
The mass of the ball is 5 kg and it is lifted 10 meters above the ground, its potential energy is 490 Joules.
What is Potential Energy?
Potential energy is the energy that an object possesses due to its position or condition. It is the energy that an object has stored within itself, ready to be converted into other forms of energy.
To calculate the potential energy of an object, we need to know its mass, the acceleration due to gravity, and its height above a reference point. The formula for potential energy is:
Potential Energy = Mass x Gravity x Height
where:
Mass is the mass of the object, in kilograms (kg)
Gravity is the acceleration due to gravity, which is approximately 9.8 m/s^2 on Earth
Height is the height of the object above a reference point, in meters (m)
If the mass of the ball is 5 kg, we can calculate its potential energy if we know its height above a reference point. For example, if the ball is lifted 10 meters above the ground, we can calculate its potential energy as:
Potential Energy = 5 kg x 9.8 m/s^2 x 10 m
Potential Energy = 490 Joules
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А
train moves with
uniform velocity of 36km/h
for 1os, calculate
total distance travelled
travelled
Explanation:
Distance is the product of speed and time:
Distance is the product of speed and time:[math]36 \frac{km}{h[/math]} ×5seconds
Distance is the product of speed and time:[math]36 \frac{km}{h[/math]} ×5seconds = 180km3600seconds×seconds = 1803600 km
Distance is the product of speed and time:[math]36 \frac{km}{h[/math]} ×5seconds = 180km3600seconds×seconds = 1803600 km= 0.05 km
Distance is the product of speed and time:[math]36 \frac{km}{h[/math]} ×5seconds = 180km3600seconds×seconds = 1803600 km= 0.05 km= 20 m
Hope u this answer cleared ur doubt
Diffraction occurs when waves _______ around the edge of a barrier?
Answer:
travels
Explanation:
hope this helps and have a blessed day
The diagram below shows four sound waves.
m А.
Wave 1
Wave 2
Wave 3
Wave 4
Which of these shows the waves in the increasing order of their frequencies? (3 points)
Оа
Wave 1, Wave 4, Wave 3, Wave 2
Oь
Wave 2, Wave 1, Wave 3, Wave 4
Ос
Wave 3, Wave 4, Wave 1, Wave 2
Od
Wave 4, Wave 3, Wave 1, Wave 2
Answer: D (Wave 4, Wave 3, Wave 1, Wave 2)
The arrangement of these waves in order of increasing frequency is;Wave 4, Wave 3, Wave 1, Wave 2.
What is a wave?A wave is a disturbance along a medium that transfers energy. We have to note that waves are shown in the manner that is depicted by the images shown in the question.
Now, the arrangement of these waves in order of increasing frequency is;Wave 4, Wave 3, Wave 1, Wave 2.
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Geological and atmospheric changes happening over a ______ time scale can cause______ extinctions.
Fill in the blanks folks..
Answer:
Long short
Explanation:
1
Dogs that are bigger are selected to be parents.
2
The parents are bred together, and their offspring will be different sizes.
3
The biggest offspring will be selected and bred together.
4
This cycle continues until the dogs have been selectively bred to be bigger than the current world record size.
5
Selective breeders need to ensure that they are not also selecting for disadvantageous traits, like genetic limb defects.
Ur gonna need this...
Brainliest plzzz..thanks..sorry Messy
Answer:
Geological and atmospheric changes happening over a long time scale can cause short extinctions.
Explanation:
A group of athletes are trying to turn a large wheel and axle to move a stone. What can they do to move the wheel with less effort?
with what force will the a car hit a tree if the car has a mass of 3,000 kg and a acceleration of 2m/s^2
Answer:
The answer is 6000 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 = 3000 × 2
We have the final answer as
6000 NHope this helps you
why is earth a magnet?
The diagram below shows the velocity vectors for two cars that are moving relative to each other.
From the frame of reference of car 1, what is the velocity of car 2?
Answer:
The answer is "[tex]5 \ \frac{m}{s} \ west[/tex]"
Explanation:
[tex]\to \vec{V_1} = (25 \frac{m}{s}) (\hat{-i})\\\\\to \vec{V_2} = (20 \frac{m}{s}) (\hat{-i})\\\\[/tex]
velocity of car | respect to car :
[tex]\to \vec{V_{12}} = \vec{V_1} - \vec{V_2}\\\\[/tex]
[tex]=\vec{-25} \hat{i}+ \vec{20} \hat{i}\\\\= 5 \ \frac{m}{s} \ west[/tex]
Answer:
70 m/s east
Explanation: