A force of 6.0 N is applied horizontally to a 3.0 kg crate initially at rest on a horizontal frictionless surface. After the crate is pushed for 1.5 seconds, it has a velocity of 3.0 m/s. Does this support Newton's second law of motion, that force equals mass times acceleration? Explain. 

a. Yes, because the acceleration of the crate is 2.0 m/s².

b. No, because the acceleration of the crate is 2.0 m/s².

c. Yes, because the mass and the velocity of the crate are equal.

d. No, because the mass and the velocity of the crate are equal. ​

Answers

Answer 1

Answer:

a. Yes, because the acceleration of the crate is 2.0 m/s².

Explanation:

Given

[tex]Force = 6N[/tex] --- f

[tex]Mass = 3kg[/tex] --- m

[tex]Time = 1.5s[/tex] --- t

[tex]Velocity = 3.0m/s[/tex] --- v

Required

Does the system support [tex]F=ma[/tex]

Yes, it does and this is shown below

The crate is initially at rest; so:

[tex]u = 0[/tex]

Using the first equation of motion

[tex]v = u + at[/tex]

Substitute values for v, u and t

[tex]3 = 0 + a*1.5[/tex]

[tex]3 = 1.5a[/tex]

Make a the subject

[tex]a = 3/1.5[/tex]

[tex]a = 2[/tex]

Using [tex]F = ma[/tex]

Substitute values for F and m

[tex]6 = 3 * a[/tex]

Divide both sides by 3

[tex]6/3 = 3/3 * a[/tex]

[tex]2 = a[/tex]

[tex]a = 2[/tex]

In both cases:

[tex]a = 2[/tex]

Hence, option (a) is correct.


Related Questions

Financial assistance intended to aid students in reaching their educational goals is called
a. benefits
b. financial aid
c. associate's assistance
d. post-secondary education
Please select the best answer from the choices provided
Help plsssss

Answers

I believe it’s financial aid

Answer:

financial aid

Explanation:

edge

Two children, totaling 200 kg, are traveling at 10 m/sec in a 100-kg bumper car during an
amusement park ride. They deliberately collide with an empty second car, mass 100 kg, which is
at rest. What is the momentum of the empty car?

Answers

Answer:

0kgm/s

Explanation:

The momentum of the empty car is zero.

Momentum is the quantity of motion a body possess. The more the mass and velocity by which a body moves, the higher is its momentum.

 Momentum  = mass x velocity

Since the second car is at rest, the velocity is 0m/s;

 So;

     Momentum  = 100 x 0 = 0kgm/s

Therefore, a body at rest has zero momentum

The Washington monument in our nations capital is 169 m high. What would be the speed of the penny as it hit the ground?

Answers

The new law and order to get a to be able to do it again in the future the first time I saw him to be the most important part of our family and I have been a little bit more about this one is the only one I had to go to a new study the first time I saw it as an opportunity for the first time since the last time you saw a lot of the people and the second half of the year for a while and then I was going to be a great way to get a better the first time I saw him to be a part of it was a great way ↕️ the first time I have to say I was in my life and the rest of us to do it again in a few days before I could not have been more than a year ago, I had a lot to do with this new version of the same time as a result of the world and I am not sure what the heck is the best your.

The tensions in the rope are 12 n and 10 n . What is the angular acceleration of the pulley?

Answers

Answer:

[tex]\mathbf{\alpha = 16.06 \ rad/s^2}[/tex]

Explanation:[tex]A \ frictionless \ pulley, \ whic h\ can \ be \ modeled \ as \ a \ 0.83 k g \ solid \ cylinder \ with \ a \ 0.30 \ m \ radius,[/tex]  [tex]\ has \ a \ rope \ going \ over \ it[/tex] [tex]The \ tensions \ in \ the \ rope \ are \[/tex] [tex]12 n \ and \ 10 n . \ What \ is \ the \ angular \ acceleration \ of \ the \ pulley?[/tex]

[tex]From \ the \ given \ information:[/tex]

[tex]The \ moment \ of \ inerti a \ of \ a \ solid \ cylinder[/tex] [tex]I = \dfrac{1}{2}mr^2[/tex]

[tex]I = \dfrac{1}{2}(0.83)(0.3)^2[/tex]

[tex]I = 0.03735 \ kg \ m^2[/tex]

[tex]The \ net \ torque = F_1(r) - F_2(r) \\ \\ = 12(0.3) - 10(0.3) \\ \\ = 0.6 \ N.m[/tex]

[tex]Torque (T) = moment \ of \inertia (I) \times angular \ acceleration ( \alpha)[/tex]

[tex]\alpha = \dfrac{T}{I}[/tex]

[tex]\alpha = \dfrac{0.6 \ Nm}{0.03735 \ kg \ m^2}[/tex]

[tex]\mathbf{\alpha = 16.06 \ rad/s^2}[/tex]

The diagram shows a tennis ball being thrown vertically into the air. When the ball just left the players hand it is at the speed of 5.0 m/s . The tenis ball has the mass of 0.058 kg. Write down the equation that links kinetic energy to mass and speed

Answers

Answer:

1. KE = ½mv²

2. The kinetic energy of the tennis ball is 0.725 J

Explanation:

The following data were obtained from the question:

Mass (m) = 0.058 kg

Velocity (v) = 5.0 m/s

Kinetic energy (KE) =.?

1. Defining an expression which relates kinetic energy, mass and speed of an object.

Kinetic energy is simply defined as the energy possess by an object in motion. Mathematically, kinetic energy can be represented as:

KE = ½mv²

Where

KE => is the kinetic energy.

m => is the mass of the object.

v => is the velocity of the object.

2. Determination of the kinetic energy of the tennis ball.

Mass (m) = 0.058 kg

Velocity (v) = 5.0 m/s

Kinetic energy (KE) =.?

KE = ½mv²

KE = ½ × 0.058 × 5²

KE = 0.029 × 25

KE = 0.725 J

Thus, the kinetic energy of the tennis ball is 0.725 J.

Find the acceleration of a 600 kg car that experiences an impulse of 18,000 kgm/s in 0.05 seconds.

I need help with this question, i don’t understand it

Answers

Answer:

what?

Explanation:

Answer:

600m/s²

Explanation:

Given parameters:

Mass of car  = 600kg

Impulse  = 18000kgm/s

Time  = 0.05s

Unknown:

Acceleration  = ?

Solution:

To solve this problem, let us find the force that cause the impact first;

          Impulse  = Force x time

          Force  = [tex]\frac{impulse}{time}[/tex]    = [tex]\frac{18000}{0.05}[/tex]    = 360000N

So;

        Force   = mass x acceleration

         Acceleration  = [tex]\frac{Force }{mass}[/tex]    = [tex]\frac{360000}{600}[/tex]    

         Acceleration  = 600m/s²

Peaks in standing wave are called

Answers

Answer:

Antinode

Explanation:

The antinode is a point along the wave that has the greatest maximum velocity in the y-direction.

A car's gas tank contains 58.7 kg
of gasoline, which takes up
0.0814 m^3 of volume. What is
the density of the gasoline?

Answers

Answer:

721 kg/m^3

Explanation:

Trust me bro

9) Suppose it takes a plane 5 hours to travel from Philadelphia to San Francisco. It
travels at an average speed of 500 miles per hour. What is the distance between
the two cities?

Answers

Answer:

2500miles

Explanation:

Given parameters:

Time of travel  = 5hrs

Average speed  = 500miles/hr

Unknown:

Distance between the two cities  = ?

Solution:

To solve this problem, we must understand that speed is the distance covered with time.

  So;

      Distance  = speed x time

Distance  = 500 x 5 = 2500miles

Calculate the resistance of an electric blanket that draws 9 A to transform 50 W of energy.

Answers

Answer:

The resistance is 0.617Ω.

Explanation:

Given that the formulas are V = I × R and P = I × V so when you substitute the V formula into P formula, you will get P = I² × R. Using this formula, you can find the resistance :

P = I² × R

50 = 9² × R

50 = 81 R

50 ÷ 81 = R

R = 0.617Ω (3sf)

pls help its about baseball and energy


(one question)



'^'

Answers

The answer would be A. As the bat is swung, it gains kinetic energy. But once it hits the ball, it loses, or transfers, it’s kinetic energy to the ball.

What is the acceleration of a 10 kg block that experiences a 50 N applied force as it slides across a
horizontal surface where the coefficient of kinetic friction between it and the surface is 0.10?

Answers

Hey can you send me a picture of your schedule and I will be in

4.02 m/sec² is the acceleration of a 10 kg block that experiences a 50 N applied force as it slides across a horizontal surface.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

force = 50 N - frictional force = ma

50 - 9.8 = ma

a = 40.2/10

a = 4.02 m/sec²

4.02 m/sec² is the acceleration of a 10 kg block that experiences a 50 N applied force as it slides across a horizontal surface.

To learn more about force refer to the link:

brainly.com/question/13191643

#SPJ2

A construction crane is on top of a skyscraper which has height 45m. The crane itself is 10m in height. What is the gravitational potential energy in joules of a 60kg worker who is standing on top of the crane? (Use g=9.81 in your calculations)

Answers

Answer:

32340J

Explanation:

Given parameters

Height of skyscraper  = 45m

Height of crane  = 10m

Mass of worker = 60kg

g = 9.81m

Unknown:

Gravitational potential energy  = ?

Solution:

The gravitational potential energy of a body is the energy due to the position of the body.

It is expressed as:

     G.P.E  = mgh

m is the mass

g is the acceleration due to gravity

h is the height = 45 + 10  = 55m

G.P.E  = 60 x 9.8 x 55  = 32340J

Velocity is speed in a given

• space
• direction
• number
• problem

Answers

Direction direction direction

100 PTs HELP PLS MARKING BRANLIST TAKING TEST RN


John is running 4 m/s when he decides to make a final sprint to the finish line. He crosses the finish line 6 seconds later
running 8 m/s. What was his acceleration in the last 6 seconds of the race?

-1.33 m/s2

1.33 m/s2


0.67 m/s2

-0.67 m/s2

Answers

Answer:

Explanation:

uhm answer is 6x8 +6+4 divded by the race seconds

Answer:

0.67m/s2

Explanation:

Someone please help meee

Answers

Answer: Your right its ( The pressure of the substance)

Explanation: MArk me as brainlisti

Answer:

The color of the substance.

Explanation:

The color. (I think, it should be right because color shouldn't affect it.)

Renewable resources need to be conserved because

a) we are using them faster than they are replenished by nature

b)they are slowly disappearing from the Earth

c) if we overuse them nature will stop replacing them

d) all of these​

Answers

Answer:

(A) We are using them faster than they are replenished by nature

A frictionless pulley system connects a 150 Kg block of a flat surface with a coefficient of friction of 0.20 to a hanging 200 kg block. Determine the tension on the cord, the frictional force of the block on the surface, acceleration of descending block, and time required for a hanging block to full 10 meters.

Answers

Cuáles son los dos tipos de lípidos que se pueden encontraren la sangre

Plis help me !!
1. There are many different renewable resources available in Florida. Which of the following can be described as a renewable resource?

limestone
oil
phosphate
wind

Answers

Answer:

Wind

Explanation:

The answer is wind yes

Q. A runner has a momentum of 670 kg m/s and is traveling at a
velocity of 9 m/s. What is his mass?

Answers

Answer:

m = 74.44 kg

Explanation:

p = m × v

670 = m × 9

9m = 670

m = 670/9

m = 74.44 kg

Momentum of an body is defined as the product of mass and velocity.It s unit is kgm/sec.The value of mass will be 74.44 kg.

What is momentum?

The measurement of mass in motion is called momentum. Momentum is equal to its mass multiplied by its velocity. Mathematically it is given as;

Momentum = Mass x Velocity

The given data in the problem will be

p is the momentum of runner=670 kgm/sec.

v is the velocity =9m/sec.

m is the mass =?

[tex]\rm p =mv\\\\\rm m =\frac{p}{v} \\\\\rm m =\frac{670}{9} \\\\\rm m =74.44 kg[/tex]

Hence the value of mass will be 74.44 kg.

To learn more about the momentum refer to the link;

https://brainly.com/question/4956182

The melting point of a substance is the same as its _____ point.


evaporation

sublimation

freezing

boiling

Answers

Answer:

Boiling point

Explanation:

which two options are examples of wave refracting?
A. Your image in a mirror
B. Light bending as it travels through glass.
C. A voice echo.
D. An object appearing broken when partly seen through water.

Answers

B is the answer I hope this helps

Can some one please explain how to read this and what the answer would be?

Answers

1 to 2 seconds because it had the steepest slope

Answer:

4 to 5

Explanation:

Will mark brainiest to the first correct answer!

Why is the sky blue?

✨ Simple answers please ✨

Answers

Answer:

Gases and particles in Earth's atmosphere scatter sunlight in all directions. Blue light is scattered more than other colors because it travels as shorter, smaller waves. This is why we see a blue sky most of the time.

Explanation:

Sorry if it's not that simple ;v;

ThE sKy Is BlUe BeCaUsE yEs.

You work at a retail store. Recently, paychecks have had errors and there have been many employee complaints. You have been assigned to head the team to redesign the payroll software program to solve this problem. Use the drop-down menu to organize the steps you will take in writing the problem statement. Write the new payroll software program. Clearly state the vision of how the stakeholders think things will function with the new payroll system. Ask for stakeholder input on the problem and possible solutions?1.C 2.B 3.A​

Answers

Answer:

C,B,A

Explanation:

Answer:

first one C

second one B

third one A

Explanation:

i hope you have a good day ;0

A boat travels north at a rate of 25.0 kilometers per hour (km/hr) relative to the current of the river. The current of the river moves south at a rate of 10.0 km/hr relative to the ground. What is the rate of motion of the boat relative to the ground?

Answers

Answer:yes

Explanation:yes

what is electric lines of force ​

Answers

Answer:

Electric field lines are an excellent way of visualizing electric field. Electrical lines of force can be described as a way or path, it can be straight or curved so that the tangent gives the direction of the intensity of the electric field at that point at any point.

what type of triangle measures 8 inches,8 inches,3 inches

Answers

Answer:

isoceles

Explanation:

Because two sides are equal

Answer:

An Isosceles triangle

Explanation:

An Isosceles triangle is a triangle where AT LEAST two sides are congruent.

A car is traveling at 35.8 m/s. What acceleration would it have if it took 2.0 s to come to a complete stop?

Answers

Answer:

[tex]\boxed {\boxed {\sf a= -17.9 \ m/s^2}}[/tex]

Explanation:

Acceleration is equal to the change in velocity over the change in time.

[tex]a=\frac{v_f-v_i}{t}[/tex]

The initial velocity is 35.8 meters per second. The final velocity is 0 meters per second when the car comes to a complete stop. The time is 2.0 seconds.

[tex]v_f= 0 \ m/s \\v_i= 35.8 \ m/s \\t= 2 \ s[/tex]

Substitute the values into the formula.

[tex]a=\frac{0 \ m/s - 35.8 \ m/s }{2 \ s}[/tex]

Solve the numerator.

[tex]a= \frac{ -35.8 \ m/s} {2 \ s}[/tex]

Divide.

[tex]a= -17.9 \ m/s/s = -17.9 \ m/s^2[/tex]

The car's acceleration is -17.9 meters per square second. The acceleration is negative because the car was coming to a stop and slowing down.

How does an electrical field change when it interacts with an opposing field

Answers

Answer:

The electric field will exert a force that accelerates the charged particle. The electric field has a direction, positive to negative. ... If it is moving in the opposite direction it will decelerate. If a negative charge is moving in the same direction as the electric field vector the particle will decelerate.

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