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

Answers

Answer 1

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 2

Answer:

5.67 m/s

Just did it.


Related Questions

The car on a track begins at the 80-cm mark. The car moves in the negative direction at a speed of 5 cm/s. After three seconds, a. What distance has the car traveled? b. What is the displacement of the car? c. What is the car's new position on the track? Please hurry up

Answers

Answer:

a) The car travelled a distance of 15 centimeters.

b) The displacement of the car is -15 centimeters.

c) The new position of the car on the track is 65 centimeters.

Explanation:

a) From Mechanical Physics we know that the distance travelled is magnitude of the route covered by the vehicle. If this car travels in a straight line and at constant velocity, then we can calculate the distance traveled by the following expression:

[tex]\Delta s = v\cdot \Delta t[/tex] (Eq. 1)

Where:

[tex]v[/tex] - Speed of the car, measured in centimeters per second.

[tex]\Delta t[/tex] - Time, measured in seconds.

[tex]\Delta s[/tex] - Distance travelled by the car, measured in meters.

If we get that [tex]v = 5\,\frac{cm}{s}[/tex] and [tex]\Delta t = 3\,s[/tex], then the distance travelled by the car is:

[tex]\Delta s = \left(5\,\frac{cm}{s} \right)\cdot (3\,s)[/tex]

[tex]\Delta s = 15\,cm[/tex]

The car travelled a distance of 15 centimeters.

b) The displacement is the vectorial distance between final and initial position. Then, we find that initial and final positions of the car are, respectively:

Initial position:

[tex]s_{o} = 80\,cm[/tex]

Final position: ([tex]s_{o} = 80\,cm[/tex], [tex]\Delta s = 15\,cm[/tex])

[tex]s_{f} = s_{o} -\Delta s[/tex] (Eq. 1)

[tex]s_{f} = 80\,cm-15\,cm[/tex]

[tex]s_{f} = 65\,cm[/tex]

And the displacement of the car is: ([tex]s_{o} = 80\,cm[/tex], [tex]s_{f} = 65\,cm[/tex])

[tex]d = s_{f}-s_{o}[/tex] (Eq. 2)

[tex]d = 65\,cm-80\,cm[/tex]

[tex]d = -15\,cm[/tex]

The displacement of the car is -15 centimeters.

c) The position of the car is its location regarding a point of reference. From point b) we find that the new position of the car on the track is:

[tex]s_{f} = 65\,cm[/tex]

The new position of the car on the track is 65 centimeters.

How long does it take for skin to replace itself

Answers

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.

Describe the importance that keystone species have in the environment. What would happen if these species disappeared? How would it affect the local ecosystems?

Answers

Answer:

See the answer below

Explanation:

The keystone species of an environment are those species of organisms that are highly influential to the functioning of the ecosystem without whom the ecosystem would be drastically affected, lose its structure, or cease to exist totally.

The influence of keystone species in an environment is disproportionately high when compared to their population in the environment. If keystone species disappeared from an environment, such an environment will find it difficult to perform ecosystem functions with an entirely different structure. In some cases, the ecosystem might cease to exist in its entirety because the species that hold it together are no longer present.

A ball strikes a wall. It exerts a force of 10 N to the left against the wall and bounces off. What force does the wall exert on the ball? 10 N to the left 10 N to the right more than 10 N to the left more than 10 N to the right

Answers

Given :

A ball strikes a wall. It exerts a force of 10 N to the left against the wall and bounces off.

To Find :

What force does the wall exert on the ball.

Solution :

We know, by third law of motion "every motion has equal and opposite reaction".

Ball exert a force of 10 N to the left against the wall.

So, by newton's third law of motion :

Wall will exert same force of 10 N in opposite direction i.e in right direction.

Therefore, force does the wall exert on the ball is 10 N to the right.

Hence, this is the required solution.

Answer:

10 N to the right

Explanation:

edge 2021

Which scenario describes an effect of tornadoes on the environment? a section of forest that has been burned a path through a town with uprooted trees a town near the coast with heavy flooding a sandy beach that shows signs of erosion

Answers

Answer:

B; a path through a town with uprooted trees

Explanation:

took the quiz and got it right on edge2020!

The effect of tornadoes on the environment is a path through a town with uprooted trees. This, option B is correct.

What are tornadoes?

It is the typical weather event that contains strong winds and leaves a path of destruction up to 50 miles long. It is also defined as the violently rotating column of air that touches the ground and is usually attached to a thunderstorm.

It is developed from a severe thunderstorm in warm, moist, and unstable air and extended up to 300 miles. The thunderstorms also generate heavy damage and devastate the environment in seconds and cause more fatalities.

A swirling, funnel-shaped, whirling wind is called a tornado and it is accompanied by hurricanes and storms. Strong tornadoes last for twenty minutes and the winds are between 200 mph to 300mph. The United States and Canada are mostly tornado-affecting countries.

The effect of tornadoes is a path through a town with uprooted trees and hence, the ideal solution is option B.

To learn more about Tornadoes:

https://brainly.com/question/5191031

#SPJ5

How should the student change the circuit to give negative values for current and
potential difference?

Answers

Answer:

changing the polarity or direction of the battery changes the sign of the voltage and the current

Explanation:

The sign of current and voltage are due to established conventions.

The way that a DC circuit with negative current values ​​is by changing the polarity of the power source or by inverting the battery, this creates that the electrons move in the opposite direction

Changing the battery also changes the direction of the power difference, since the potential from positive to negative, in most cases negative is assigned a potential of zero volts

In summary, changing the polarity or direction of the battery changes the sign of the voltage and the current

anybody got any answers???

Answers

Answer:

b? to a?

Explanation:

It converts mechanical energy to electrical.

Therefore, Option A is the correct answer

A paintball is fired horizontally from a tower 45 m above the ground. If the paintball gun fires at 90 m/s… How long does it take for the paintball to hit the ground? How far away from the tower will the paintball land?

Answers

Answer:

The time taken for the paint ball to hit the ground is [tex]t = 2.143 \ s[/tex]

The distance of the landing point from the tower is [tex]d = 192.86 \ m[/tex]

Explanation:

From the question we are told that

   The height of the tower is [tex]h = 45 \ m[/tex]

    The speed of the paintball in the horizontal direction is  [tex]v_x = 90 \ m/s[/tex]

Generally from kinematic equation we have that

      [tex]h = ut + \frac{1}{2} at^2[/tex]

Here u is the initial  velocity of the paintball in the vertical direction and the value is 0 m/s , this because the ball was fired horizontally

         a is equivalent to [tex]g = 9.8\ m/s^2[/tex]

        t is the time taken for the paintball to hit the ground

   So    

       [tex]45 = 0* t + \frac{1}{2} 9.8 * t^2[/tex]

=>    [tex]t = 2.143 \ s[/tex]

Generally the distance of its landing position from the tower is

         [tex]d = v * t[/tex]

=>      [tex]d = 90 * 2.143[/tex]

=>    [tex]d = 192.86 \ m[/tex]

     


In this chemical reaction, one or more atoms replaces a part of a
compound.
*
synthesis
decomposition
combustion
replacement
neutralization

Answers

Explanation:

If there are more reactants than products, it is a synthesis reaction. If oxygen is a part of the reactant, it is a combustion reaction. If one ion replaces another, it is a single replacement reaction. If there are two compounds in a reactant where cations switch, it is a double replacement reaction.

How much time is required for a 20 Coulombs charge to flow through a point if the current is 2 amperes? help plzzzzz

Answers

The time required for a 20 coulombs charge to flow through a point if the current is 2 amperes will be 10 seconds.

What is electric current?

Electric current is defined as the ratio of the charge flow in a given time interval. It is denoted by I. It has the unit is ampere.

The given data in the problem is;

t is the time is required

q is the charge = 20 Coulombs

I is the current is= 2 amperes

The formulas for the elctric current are given as;

[tex]\rm I = \frac{q}{t} \\\\\ \rm t = \frac{q}{I} \\\\ \rm t = \frac{20}{2} \\\\ t=10 \ sec[/tex]

Hence the time required for a 20 coulombs charge to flow through a point if the current is 2 amperes will be 10 seconds.

To learn more about the electric current refer to the link;

https://brainly.com/question/2264542

The time required for a 20 coulombs charge to flow through a point if the current is 2 amperes will be 10 seconds.

What is electric current?

Electric current is defined as the ratio of the charge flow in a given time interval. It is denoted by I. It has the unit is ampere.

The given data in the problem is;

t is the time is required

q is the charge = 20 Coulombs

I is the current is= 2 amperes

The formulas for the electric current are given as;

[tex]I=\dfrac{q}{t}[/tex]

[tex]t=\dfrac{q}{I}[/tex]

[tex]t=\dfrac{20}{2}[/tex]

[tex]t=10 sec[/tex]

Hence the time required for a 20 coulombs charge to flow through a point if the current is 2 amperes will be 10 seconds.

To learn more about the electric current refer to the link;

brainly.com/question/2264542

Plz help !!!!!! ................................

Answers

Answer:

I think the answer is B. Can I have brainlest if I am right, please?

Explanation:

Answer:

it is B because period =1/ frequency and B has lower period

can anyone solve this?
Carol pushes down at an angle of 30 degrees from the vertical on a 10.0 kg wood crate causing the crate to move across a wood floor at a constant velocity of 2.0 m/s. How much force does Carol exert on the crate? (μs = 0.5 and μk = 0.2)

Answers

Answer:

F = 39.2 N

Explanation:

Since, the object is in uniform motion. Therefore, the frictional force on object will be:

Frictional Force = μk N = μk mg

where,

μk = coefficient of kinetic friction = 0.2

m = mass of crate = 10 kg

g = 9.8 m/s²

Therefore,

Frictional Force = (0.2)(10 kg)(9.8 m/s²)

Frictional Force = 19.6 N

The horizontal component of force must be equal to this frictional force to continue the uniform motion:

F Sin 30° = 19.6 N

F = 19.6 N/Sin 30°

F = 39.2 N

What happens when the two waves meet?
A.
They superimpose and remain at the same amplitude.
B.
They experience destructive interference and cancel each other out.
C.
They experience constructive interference and have twice the amplitude.
D.
They superimpose and have half of their original amplitude.

Answers

when two or more waves meet, they interact with other. The intersection of waves with other waves is called wave interference. wave interference may occur when two waves that are traveling I opposite directions meet. the two waves pass through each other, and this affects their amplitude

What is the common property of the elements pinctogen

Answers

Answer:

The pnictogens consist of two non-metals, two metalloids, one metal, and one element with unknown chemical properties. All the elements in the group are solids at room temperature, except for nitrogen which is gaseous at room temperature.

The motion of a car on a position time graph is represented with a horizontal tine What does this indicate about the car's motion?

Answers

Answer:

Position-Time graphs display the motion of a object by showing the changes of velocity with respect to time.

The motion of a car on a position-time graph that is represented with a horizontal line indicates that the car has stopped moving.

A straight line with a positive slope indicates that the car is moving at a constant velocity, and thus the slope is constant. On the other hand, a curve with a changing slope, shows that the velocity is changing.

What are gears and what is a lever ?​

Answers

Answer:

agear lever or agear stick is the lever that you use to change gear in acar or other vehicle

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!!!!!​

Answers

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.

One of the largest pipe organs is in the aŭditorium organ in the Fox Theatre. The pipe is 32
ft. long and produces a sound with a wavelength of about 8.8m. If the speed of sound in air is 346
m/s what is the frequency of this sound? What is the period? Show all work and explain your
answer. (12 pts.)

Answers

Answer:

Explanation:

Wave Period and Frequency In this video Paul Andersen explains how the period is the time between wave and the frequency is the number of ... Your browser does not currently recognize any of the video formats available. ... Show less Show more ... Waves: Light, Sound, and the nature of Reality.

The weight of an object is determined by it X
. ?
Mass
Gravity
Height
Both A&B

Answers

Answer:

gb  tbbyeyb

Explanation:

A horse accelerates from rest for 1 s and covers a distance D. If instead the accelerates from rest with the same accelerations for 2 s will the distance it covers be equal to 2D, 4D, or 9D

Answers

Answer:

4D

Explanation:

We will use 2nd equation of motion in this question:

s = Vi t + (0.5)gt²

where,

s = distance covered

t = time taken

g = acceleration due to gravity

For t = 1 s:

s = D

Therefore,

D = (0 m/s)(1 s) + (0.5)g(1 s)²

D = 0.5g   -------------- equation (1)

For t = 2 s:

s = D

Therefore,

s = (0 m/s)(1 s) + (0.5)g(2 s)²

s = 0.5g(4)

using equation (1):

s = 4D

therefore, correct answer is:

4D

A force of 5 N gives to mass my and an acceleration of 8m/s2 and a mass m2
an acceleration of 24m/s2. What acceleration would it give if both masses are
tied together

Answers

Answer:

a=6m/sec²

Explanation:

f=5 N

a1=8m/sec²

a2=24m/sec

m1=f/a1=5/8kg

m2=f/a2=5/24kg

New, f=(m1+m2)a

a=5/5/8+5/24=5/15+5/24=24*5/20

a=6m/sec²

If you throw a ball up with a velocity of 7 m/s, how long will it take for the ball to reach
the top of its path?

Answers

Answer:

42secs

Explanation:

v=u-gt

0=7-10t

10t=7

t=7/10

t=7/10*60

t=42

What is the net force required to accelerate a 1.1 kg box at a rate of 2.8
m/s??

Answers

Answer:

Fnet = 13.86N

Explanation:

Net force can be defined as the vector sum of all the forces acting on a body or an object i.e the sum of all forces acting simultaneously on a body or an object.

Mathematically, net force is given by the formula;

[tex] Fnet = Fapp + Fg[/tex]

Where;

Fnet is the net force Fapp is the applied forceFg is the force due to gravitation

Given the following data;

Mass = 1.1kg

Acceleration = 2.8m/s²

To find the applied force;

[tex] Fapp = ma[/tex]

Substituting into the equation, we have;

[tex] Fapp = 1.1 * 2.8[/tex]

Fapp = 3.08N

To find the gravitational force;

We know that acceleration due to gravity, g = 9.8m/s²

[tex] Fg = mg[/tex]

Substituting into the equation;

[tex] Fg = 1.1 * 9.8[/tex]

Fg = 10.78N

To find the net force;

[tex] Fnet = Fapp + Fg[/tex]

Substituting into the equation, we have;

[tex] Fnet = 3.08 + 10.78[/tex]

Fnet = 13.86N

Therefore, the net force required is 13.86N

What refers to the bending of light as it passes from one medium into another?

10. Which of the following arrangements of visible light colors shows decreasing wavelength?
A. red, orange, yellow, green, blue, indigo, violet
B. red, yellow, green, orange, violet, blue, indigo
C. violet, blue, green, orange, red, indigo, yellow
D. violet, indigo, blue, green, orange, yellow, red

12. What refers to the splitting of white light into seven different colors?

A. dispersion
B. refractive index

C. reflection
D. refraction


13. Refractive Index is a ratio between the speed of light in vacuum and .

A. speed of light in vacuum
B. speed of sound in vacuum

C. speed of light in a medium
D. speed of sound in a medium


15. Based on the colors of light, what color comes between red and yellow?

Answers

Answer:

9.Refraction

13.refractive index is the ratio of velocity of light in a vacuum to it's velocity I. a specified medium.

12.dispersion

14.Orange with a wavelength of about 585-620

I have no idea of number 10

What changes when unbalanced forces are
applied to a moving bike along the direction
it is moving?

Answers

For example if you ride a bike straight ahead at a constant speed the force moving the bike forward exactly balances the forces of friction that would slow the bike down balanced forces cannot change on objects speed or it’s direction

Just helping as usual what about you​

Answers

Answer:

same i just love helping people out

god bless you have a blessed day

Explanation:

Answer:

I do too

Explanation:

I like to help others especially if it has been filled in by struggling in a certain concept of a subject.

Do u agree?

A person lifts a package weighing 75 N. If she lifts it 1.2 m off the floor, what work has she done?

Answers

Answer:

The answer is 90 J

Explanation:

The work done by an object can be found by using the formula

workdone = force × distance

From the question we have

workdone = 75 × 1.2

We have the final answer as

90 J

Hope this helps you

Answer:

[tex]\boxed {\boxed {\sf 90 \ Joules}}[/tex]

Explanation:

Work can be found by multiplying the force by the distance.

[tex]W=f*d[/tex]

The force of the package is 75 newtons.

The distance the package is lifted off the ground is 1.2 meters.

[tex]f= 75 \ N \\d=1.2 \ m[/tex]

Substitute the values in and multiply.

[tex]W= 75 \ N *1.2 \ m[/tex]

[tex]W=90 \ N*m[/tex]

1 Newton meter (N*m) is equal to 1 Joule (J).

Therefore, our answer of 90 Newton meters is equal to 90 Joules.

[tex]W= 90 \ J[/tex]

The work done is 90 Joules.

A B-52 bomber jet flies at a horizontal velocity of 286.2 m/s and at an altitude of 7500 m above the ground.
How far away horizontally should a payload be dropped to land on a target?

Answers

Answer:

you need to divide 7500/286.2

a particle starts from rest and moves with a constant acceleration of 0.5 m/s². Calculate the time taken by particle to cover a distance of 25 m​

Answers

using s=1/2 a t ^2
25 = 1/2 x 0.5 x t^2
t = square root (25/0.25)
t = 10 seconds

YO YO I NEED HELP!!!

Answers

Answer: Light energy

Explanation: Light energy is a form of radiant energy that is visible to the human eye.

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