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

While driving his sports car at 20.0 m/s through a residential neighborhood, Royston
comes up behind a slow-moving grandma and decides to pass her on the left. If
Royston can accelerate at 6.00 m/s2, how long will it take for him to reach a velocity of
30.0 m/s?

Answers

Answer:

1.67s

Explanation:

Given parameters:

Initial velocity  =  20m/s

Acceleration  = 6m/s²

Final velocity  = 30m/s

Unknown:

Time taken  = ?

Solution:

Acceleration is the rate of change of velocity with time. It is mathematically expressed as;

 Acceleration = [tex]\frac{v - u }{t}[/tex]  

v is the final velocity

u is the initial velocity

 t is the time taken

            6  =[tex]\frac{30 - 20}{t}[/tex]  

            6  = [tex]\frac{10}{t}[/tex]  

              10  = 6t

              t  = 1.67s

Write 4,007,500,000 in scientific notation.
4.0075 x 10 -9 (-9 is an exponent)
4.075 x 10 9 (9 is an exponent)
4007.5 x 10 6 (6 is an exponent)
4.0075 x 10 9 (9 is an exponent)

Answers

The answer is 4.0075 x 10^9

name the universal force of attraction that exists between masses ​

Answers

Answer:

gravity

Explanation:

Answer: gravity

Explanation: Newton's revolutionary idea was that gravity is universal - ALL objects attract in proportion to the product of their masses. Gravity is universal.

a girl pushes her little brother down a snowy hill on a sled and he rides quickly to the bottom of the hill

which one of Newton's Laws is this ​

Answers

Answer:

Newton's First Law of Motion.

Explanation:

Inertia can be defined as the tendency of an object or a body to continue in its state of motion or remain at rest unless acted upon by an external force.

In physics, Sir Isaac Newton's First Law of Motion is known as law of inertia and it states that, an object or a physical body in motion will continue in its state of motion at continuous velocity (the same speed and direction) or, if at rest, will remain at rest unless acted upon by an external force.

In this scenario, a girl pushes her little brother down a snowy hill on a sled and he rides quickly to the bottom of the hill. The push from the little boy's sister is the external force acting on him and consequently, causing him to be in motion down the snowy hill.

Plz help 200 pts


In the movie Black Panther, Wakanda's economy focuses on the production and use of a fictional metal known as vibranium, which has amazing chemical and physical properties. If this metal actually existed, where do you think the metal would be placed in the periodic table? What would be the elemental symbol?​

Answers

Answer:

We just know that the metal is called Vibranium.

to place something is the table   we need to know its atomic number and its mass. so if we can get that we can ans it.

Explanation:

Why are force fields necessary to describe electric force? 0 A. Electric force acts at a distance. O B. Electric force can only attract objects. C. Electric force is a form of gravity. D. Electric force attracts two poles.​

Answers

Answer:

A. Electric force acts at a distance.

Explanation:

"Electric force," just like gravitational force is a "non-contact force." This means that even at a distance, two objects with no physical contact will create movement with the help of electric force. This leads to the concept of "force fields or field force" that explains why a charge object alters the region surrounding it. Once an object enters the region, it immediately experiences its force. An example of this is holding out one's hand near a "Van de Graaff generator." The electric force compels the hair strands to stand up.

A molecule contains 16 atoms and undergoes a chemical change. How does the
chemical change affect the total number of atoms of each element? (2 points)

Answers

Answer:

They remain the same

Explanation:

As the molecule goes from reactants to products, the number of atoms in the each of the element remains the same.

This is in compliance with law of conservation of matter. The law proposes that "in a chemical reaction, matter is neither created nor destroyed by changed from one form to another".

So, since no matter is destroyed, the number of atoms during a chemical change remains the same before and after a reaction.

This is applicable to all chemical changes.

light waves from the sun can travel trough outer space and reach the earth

Answers

Answer:

this is true

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.

A woman standing on the ground watches an airplane fly by a mountain on a clear summer day. Her reference point for the moving plane would be:

a. There is no reference point
b. The ground
c. The mountain
d. A person in the plane

Answers

D I THINK Hope I helped hav ea good day anjajsgbsnsba

please help! you are amazing! brainliest too!

NASA helps fund science education.

Which statement about scientific knowledge is false?

A. Understanding science can help people make wiser purchases.
B. People with more knowledge of science are always healthier.
C. People with college degrees in science often earn high salaries.
D. Science education can help people understand the universe.

Answers

I think it’s B hope it helps:)

Answer:

I think its B and I don't know why my words are like this

Explanation:

Based on the figure shown, about how far can sound travel in water in 2.5 s if the water temperature is 25°?
O a. 3,750 m
Oc. 600 m
Ob. 375 m
O d. 875 m

Answers

Answer:

A

Explanation:

10)A car is moving from rest and attained a velocity of 80 m/s. Calculate the
acceleration of the car after 5 s?

Answers

Explanation:

the velocity graph of a ball mass 20mg moving along a straight line

16m/s^2

Explanation:

initial velocity (u) =0

final velocity (v) =80

acceleration =?

Now,

acceleration = (v-u)/t

=(80-0)/5

= 80/5

= 16m /s^2

please help! easy science! second pic is the question and possible answers (A B C or D) its one question! brainliest promised!

Answers

Answer:

Please do not take my word for this at all, but this is what I found, "When the pendulum swings back down, the potential energy is converted back into kinetic energy. At all times, the sum of potential and kinetic energy is constant." So I think the answer is B also you are anime fan too lol :DD I love hinata

Explanation:

the gravitational force produced between any two
objects kept at 2.5*10^km apart is 580N. at what distance
should they be kept so that the gravitational force becomes
half?​

Answers

Answer:

The two objects should be kept at a distance of [tex]3.535\times 10^{4}[/tex] kilometers.

Explanation:

From Newton's Law of Gravitation, gravitational force ([tex]F[/tex]), measured in newtons, between two objects is inversely proportional to the square of distance ([tex]r[/tex]), measured in meters. That is:

[tex]F \propto \frac{1}{r^{2}}[/tex] (1)

[tex]F = \frac{k}{r^{2}}[/tex] (2)

Where [tex]k[/tex] is the proportionality ratio, measured in newtons-square meter.

Now we eliminate the proportionality by constructing the following relationship:

[tex]\frac{F_{2}}{F_{1}} = \left(\frac{r_{1}}{r_{2}}\right)^{2}[/tex] (3)

If we know that [tex]\frac{F_{2}}{F_{1}} = \frac{1}{2}[/tex] and [tex]r_{1} = 2.5\times 10^{7}\,m[/tex], then the distance between the two objects so that gravitational force becomes half is:

[tex]\frac{1}{2} = \frac{(2.5\times 10^{7}\,m)^{2}}{r_{2}^{2}}[/tex]

[tex]r_{2}^{2} = 1.25\times 10^{15}\,m^{2}[/tex]

[tex]r_{2} = 3.535\times 10^{7}\,m[/tex]

[tex]r_{2} = 3.535\times 10^{4}\,km[/tex]

The two objects should be kept at a distance of [tex]3.535\times 10^{4}[/tex] kilometers.

A chunk of beef has a mass of 11.6 grams and a volume of 58 cm3. What is the density of the chucky beef?

Group of answer choices

46.4

0

672.8

0.2

5

Answers

Answer:

0.2g/cm³  

Explanation:

Given parameters:

Mass of the beef  = 11.6g

Volume  = 58cm³  

Unknown:

Density  = ?

Solution:

Density is the mass per unit volume of a substance.

  Density  = [tex]\frac{mass}{volume}[/tex]  

So;

  Density  = [tex]\frac{11.6}{58}[/tex]    = 0.2g/cm³  

What type of cells provide humoral immunity ?

Answers

Answer:

Antibody molecules that are secreted by plasma cells mediate the humoral immune response. The antigen that binds to the receptor of the B-cell antigen signals B cells and is internalized and transformed into peptides that activate the armed helper at the same time.

Explanation:

Answer:

B cells

Explanation:

Humoral immunity or humoural immunity is the aspect of immunity that is mediated by macromolecules found in extracellular fluids such as secreted antibodies, complement proteins, and certain antimicrobial peptides. Humoral immunity is named so because it involves substances found in the humors, or body fluids. It contrasts with cell-mediated immunity. Humoral immunity is also referred to as antibody-mediated immunity.

In the figure shown, point B is called a
a. crest
Oa.
O c. diffraction
Ob.compression
d. trough

Answers

Answer:

trough

Explanation:

It is the lowest point of the wave

If the wavelength is 10 m and the frequency is 5 Hz, what is the wave speed?

Answers

V = f x wavelength
V = 5 x 10
V = 50m/s

The primary job of a(n) ____
is to increase the power of a modified radio wave.

Answers

The primary job of a(n) ____

is to increase the power of a modified radio wave.

Answer:

amplifier

Explanation:

Hope it helps:)

#CarryOnLearning

Answer: Amplifier

Explanation: Edge 2021

Have a great day :D

What is the cost of operating a 100 W light bulb for "4 hrs per day" for 30 days, if the cost of electricity is 6 cents kW•h

Answers

Answer:

the cost of operating the light bulb is 72 cents.

Explanation:

Given;

cost of electricity, C = 6 cents / kW.h

power of light bulb, P = 100 W

time of light power consumption, t = 4 hours per day for 30 days

total time = 4 hours x 30 = 120 hours

Power consumed by the light bulb is calculated as;

P = 100 x 120 = 12000 w.h = 12 kW.h

Cost of power consumption = 6 cents/kWh x 12 kWh

                                               = 72 cents

Therefore, the cost of operating the light bulb is 72 cents.

what voltage produces a current of 100 amps with a resistance of 50 ohms

Answers

[tex]\bf{ \underline{Given:- }}[/tex]

[tex] \sf• \: Current \: (I) = 100 \: Amps.[/tex]

[tex] \sf• \: Resistance \: (R) = 50 \: ohms[/tex]

[tex] \\ [/tex]

[tex]\bf{ \underline{To \:  Find:- }}[/tex]

[tex] \sf• \: Voltage \: (V)[/tex]

[tex] \\ [/tex]

[tex] \huge\bf{ \underline{Solution:- }}[/tex]

[tex] \bf \red{ \bigstar{ \: The \: formula \: of \: Voltage \: (V) = IR}}[/tex]

[tex] \rightarrow \sf V = 100 \times 50[/tex]

[tex] \rightarrow \sf V = 5000[/tex]

[tex] \\ [/tex]

[tex] \bf \purple{Therefore, \: Volatage \: is \: 5000 \: v.}[/tex]

what force acts between earth and the moon

Answers

Explanation:

Gravity

Gravity is one major force that creates tides. In 1687, Sir Isaac Newton explained that ocean tides result from the gravitational attraction of the sun and moon on the oceans of the earth (Sumich, J.L., 1996).

What did the Dakota believe about Bdote?

Answers

Answer Bdote means “where two waters come together.” While bdote can refer to any place where waters converge, many Dakota people consider this location as a sacred place of creation, identifying themselves as the Wicahpi  Oyate (Star Nation) who originated in the sky and came into being on this land.

I hope it helpful

Which force is an attractive force that is affected by the masses of objects?
A) tension force
B) magnetic force
C) normal force
D) gravitational force

Class: Physical Science B

Answers

Answer:

D) gravitational force

When power and current are known use R = P/I^2 to calculate the resistance.
P = 300 watts
C = 30amps
R = ?
R = resistance, P = Power, 1 = Current

Answers

[tex]\bf{ \underline{Given:- }}[/tex]

[tex] \sf• \: Power \:( P) = 300 \: watts[/tex]

[tex] \sf• \: Current \: (I) = 30 \: amps[/tex]

[tex] \\ [/tex]

[tex]\bf{ \underline{To \:  Find:- }}[/tex]

[tex] \sf• \: The \: Resistance [/tex]

[tex] \\ [/tex]

[tex] \huge\bf{ \underline{Solution :-:- }}[/tex]

[tex] \bf \red {\bigstar{ Formula \: of \: Power \: (P) = \frac{ {I}^{2} }{R}}}[/tex]

[tex] \sf \rightarrow 300= \frac{ {30}^{2} }{ R} [/tex]

[tex] \sf \rightarrow 300 = \frac{900}{ R} [/tex]

[tex] \rightarrow \sf R = \frac{300}{900} [/tex]

[tex] \rightarrow \sf R = \frac{1}{3} [/tex]

[tex] \rightarrow \sf R = 0.33[/tex]

[tex] \bf \purple{Hence, \: the \: resistance \: is \: 0.33 \: Ω \: . }[/tex]


Use the motion map to describe the motion of the object.
A motion map. The position line is a long black arrow pointing right, labeled x. Above the line are five dots with a vector pointing away from x that start at x, each one shorter ending in the last dot with no vector. Above that are two yellow vectors pointing toward x between the second and third and third and fourth black dot. Above that are three black dots with vectors pointing toward the origin, x, each with a larger vector. There are three yellow vectors with no black dots pointed toward x starting just above the vertical column of three dots.
Which statements describe what is occurring at
t = 5 seconds? Check all that apply.
The object sped up.
The object slowed down.
The object continued in the same direction.
The object changed direction.
The object came to a complete stop.

Answers

Answer:

The object sped up.

The object changed directions.

Explanation:

Just got the question correct.

Answer:

A & D

The object sped up

The object changed direction

Explanation:

:)

A 136 kg defensive lineman is about to tackle a 100 kg quarterback. Right before impact, the lineman is moving north at 6.0 m/s and the the quarterback is moving north at 1.0 m/s. Determine the speed and direction of the two players immediately after the tackle.

Answers

Answer:

Explanation:

We shall apply law of conservation of momentum .

Momentum before impact = momentum after impact

Since they are moving towards the same direction , their momentum will add up .

Total momentum before impact

= 136 x 6 + 100 x 1 = 916 kg m/s .

Total mass of lineman and quarterback = 236 kg , if their velocity after impact be v

their momentum = 236 v

According to law of conservation of momentum

236 v = 916

v = 3.88 m /s

Both of them will move with velocity of 3.88 towards the north .

A boy is running at -8 m/s and a girl running at -2 m/s. Who is running faster? How do you know?

Answers

Answer:

the girl is running faster because -2 is greater than -8

Explanation:

The speed of the wooden bar is changed so that the bar hits the water fewer times each second.

What happens to the frequency of the waves produced?

A. Increases
B. Does not change
C. Decreases

Answers

Answer:

c - the frequency of the waves decreases

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