Your shopping cart has a mass of 65 kilograms.In order to accelerate the shopping cart down an aisle at 0.30 m/s^2, what Force would you need to use or apply to the cart assuming the coefficient of friction between the cart and the floor is 0.01?

Answers

Answer 1

Answer:

25.88 N

Explanation:

Mass of the shopping cart,[tex]m=65 kg[/tex]

The coefficient of friction between the cart and the floor, [tex]\mu= 0.01[/tex]

Let, F be the required force to accelerate the cart at [tex]a=0.30 m/s^2[/tex].

Gravitational force, mg, acts downward which is being balanced by the normal reaction, N, on the cart by the floor.

As the motion of the cart in the vertical direction is zero. So, using the static equilibrium condition will be zero.

From free body diagram (FBD):

[tex]N-mg=0[/tex]

[tex]\Rightarrow N=mg.[/tex]

the net force action in this direction The frictional force, f, acts in the direction to opposes the motion of the cart as shown.

[tex]f=\muN=\mu mg[/tex]

Now, apply the dynamic equilibrium condition in the horizontal direction, i.e. net force acting on the body equals the rate of change of momentum of the body. From the FBD of the cart, we have

[tex]F-f-ma=0[/tex]

[tex]\Rightarrow F=f+ma[/tex]

[tex]\Rightarrow F=\mu mg+ma[/tex]

[tex]\Rightarrow F=m(\mu g +a)[/tex]

[tex]\Rightarrow F=65(0.01\times 9.81 + 0.3)[/tex]

[tex]\Rightarrow F=25.88 N.[/tex]

Hence, 25.88 N force required to accelerate the body with 0.03 [tex]m/s^2[/tex] .

Your Shopping Cart Has A Mass Of 65 Kilograms.In Order To Accelerate The Shopping Cart Down An Aisle

Related Questions

Sand is made of different types of rocks. The shapes and sizes are not all the same. Sand is a ----?​

Answers

Answer:

A soil

Explanation:

Sand is a granular material composed of finely divided rock and mineral particles. It is defined by size, being finer than gravel and coarser than silt. Sand can also refer to a textural class of soil or soil type; i.e., a soil containing more than 85 percent sand-sized particles by mass.

Answer:

mixture

sand is a mixture

A ball is thrown straight upward with an initial velocity of 16m/s. What is its velocity at its highest point?

Answers

Answer:

its going very fast

Explanation:

Determine whether the following statements are true or false and give an explanation or counter example. a. If the acceleration of an object remains​ constant, then its velocity is constant. b. If the acceleration of an object moving along a line is always​ 0, then its velocity is constant. c. It is impossible for the instantaneous velocity at all times atb to equal the average velocity over the interval atb. d. A moving object can have negative acceleration and increasing speed.\

Answers

Answer:

A.) False

B.) True

C.) True

D.) False

Explanation:

a. If the acceleration of an object remains​ constant, then its velocity is constant. False because if velocity is constant, acceleration will be equal to zero.

b. If the acceleration of an object moving along a line is always​ 0, then its velocity is constant. Yes. According to definition of acceleration, saying it is the rate of change of velocity. So if velocity is not changing, acceleration = 0

c. It is impossible for the instantaneous velocity at all times at b to equal the average velocity over the interval at b. Yes. Because of constant velocity

d. A moving object can have negative acceleration and increasing speed. False. Because when an object is coming to rest velocity is always reducing.

A car of mass 500kg travelling at 60m/s has it speed reduced to 40m/s by a constant breaking force over a distance of 200m. find car initial kinetic energy. the final kinetic energy​

Answers

Answer:

Ek1 = 900000 [J]

Ek1 = 400000 [J]

Explanation:

In order to solve this problem we must remember that kinetic energy is defined as the product of mass by velocity squared by a medium. Therefore using the following equation we have:

[tex]E_{k1}=\frac{1}{2}*m*v1^{2}[/tex]

where:

m = mass = 500 [kg]

v1 = 60 [m/s]

So we have:

Ek1 = 0.5*500*(60^2)

Ek1 = 900000 [J]

and:

Ek2 = 0.5*500*(40^2)

Ek2 = 400000 [J]

Which of the following units is part of the international system of units, or SI?

Answers

Answer:

meter, kilogram, second, ampere, Kelvin, candela, and mole.

Explanation:

these are all SI units.

Three resistors are connected in series to a 42.1 V battery: R1 = 2.96 Ω, R2 = 7.48 Ω and R3 = 7.42 Ω. Now, as R3 heats up, its resistance increases according to: fraction numerator d R subscript 3 over denominator d t end fraction = 0.552 Ω/s Assume the resistance of the other resistors remain constant. Find fraction numerator d P over denominator d t end fraction , the rate at which the power pulled from the battery is changing in W/s, at the instant R3 = 91.7 Ω. The sign shows whether the power is increasing or decreasing.

Answers

Answer:

dP/dt = 26.12 W/s

Explanation:

First, we need to find the value of dt at the instant when R₃ becomes 91.7 Ω. Therefore, we use:

dR₃/dt = 0.552 Ω/s

where,

dR₃ = Change in value of resistance 3 = 91.7 Ω - 7.42 Ω = 84.28 Ω

dt = time interval = ?

Therefore,

84.28 Ω = (0.552 Ω/s)(dt)

dt = (84.28 Ω)/(0.552 Ω/s)

dt = 152.68 s

Now, we find change in power (dP):

dP = V(R₁ + R₂ + dR₃)

dP = (42.1 V)(2.96 Ω + 7.48 Ω + 84.28 Ω)

dP = 3987.71 W

Dividing by dt:

dP/dt = 3987.71 W/152.68 s

dP/dt = 26.12 W/s

You throw a ball upwards at 22 m/s. How high will it go?

Answers

Answer:

24.69 meters

Explanation:

sorry if it's not right.

answer:

[tex]h=24.69m[/tex]

step-by-step explanation:

[tex]eg=mgh \\ek=\frac{1}{2} mv^2[/tex]

eg= gravitational energy

ek= kinetic energy

now, since no mass is given of the ball, both equations on their own do nothing for us, except leave us scratching our heads wondering how to figure out the problem. but, since the question states, “and no air resistance,” we now know, according to the law of conservation of energy, that the energy of the two equations will equal each other because none of the energy has dissipated or left the system.

the amount of energy present during the initial phase of the woman about to throw the ball will be present in the final phase, which will be at its highest point (according to this problem).

so now [tex]eg=ek[/tex]

knowing this, we can now set the equations equal

[tex]eg=ek\\mgh=\frac{1}{2} mv^2[/tex]

the two m’s cancel out, making the mass of the ball insignificant and not influential; next, substitute the values we are given in the problem

[tex](22m/s),(9.8m/s^2)\\m(9.8m/s^2)h=\frac{1}{2} m(22m/s)^2\\(9.8 m/s^2)h=\frac{1}{2} (22m/s)^2\\(9.8m/s^2)h=1/2 (484m^2/s^2)\\(9.8m/s^2)h=1/2 (242m^2/s^2)\\\\h= (242m^2/s^2)/(9.8m/s^2)[/tex]

as you can see, all units that need to be canceled out are indeed canceled, leaving us with just m, meters, which is what height is measured in

therefore, [tex]h=24.69m[/tex]

The diagram below shows a simplified floor plan for a small house. As the day goes on and the sun begins to set the rooms on the west side of the house grow warmer than the rooms on the east side as shown by the temperatures in each room.
The doors between the rooms are open. Which of the following most likely describes the direction of heat flow through the house and the effect of the great flow on temperature?
The options are in the picture please help i’ll give brainliest!!!

Answers

Answer:

Your answer is C! :D

Explanation:

From Room 1 to Rooms 2 and 3 until all rooms are about 27°C. The correct option is C.

What is heat flow?

The movement of heat (energy) from the interior of the Earth to the surface is referred to as heat flow.

The majority of the heat is generated by the cooling of the Earth's core and the generation of radioactive heat in the upper 20 to 40 km of the Earth's crust.

The direction of heat flow is determined by the temperature difference between the bodies. Heat is transferred from a hotter body to a colder one.

As the illustration depicts a simplified floor plan for a small house. As the day progresses and the sun sets, the rooms on the west side of the house become warmer than the rooms on the east, as evidenced by the temperatures in each room.

The direction of heat flow through the house, and the effect of the large flow on temperature, will be from Room 1 to Rooms 2 and 3, until all rooms are around 27°C.

Thus, the correct option is C.

For more details regarding heat flow, visit:

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what are the four planets that orbit closets to the sun
what are they and what characteristics do they have

Answers

Answer:

Explanation:The four closest to the sun — Mercury, Venus, Earth and Mars — are the terrestrial planets. They have rocky surfaces enclosed by relatively shallow atmospheres.

Predict the magnitude of force applied on you if you push against a tree with a force of 50 and directed to the

Answers

Answer: -50N

Explanation:

Newton's 3rd law says that for every force applied, there is an opposite force with equal magnitude. The person pushing on the tree will experience a force of -50N

What is the momentum of a 20.0 kg scooter traveling at 5.00 m/s?

Answers

Answer:

The answer is 100 kgm/s

Explanation:

To find the momentum of an object given it's mass and velocity we use the formula

momentum = mass × velocity

From the question

mass = 20 kg

velocity = 5 m/s

We have

momentum = 20 × 5

We have the final answer as

100 kgm/s

Hope this helps you

- You travel by bus from Indianapolis to New York City which is 1100 miles away. With no stops, the trip took 11 hours. The average speed was...​

Answers

Answer:

100 mph, or about 44.7 m/s

Explanation:

Average speed is [tex]\frac{distance}{time\\}[/tex].

After substitution, this is [tex]\frac{1100}{11}[/tex].

The average speed, therefore, reduces to 100 mph, or about 44.7 m/s.

what happens to the matter that makes up a liquid when sound travels through it

Answers

Explanation:

The matter passes in the directions of the noise and flows from the source to a receiver like sound flows through a substance. As the sound flows through a fluid, the material is disrupted for an amount of time, but after the sound leaves, it restored to its normal location.

What is reduction division mean ?

Answers

Answer:

Reduction division: The first cell division in meiosis, the process by which germ cells are formed. In reduction division, the chromosome number is reduced from diploid (46 chromosomes) to haploid (23 chromosomes). Also known as first meiotic division and first meiosis.

Explanation:

Please mark as brainliest

Where do laws apply?​

Answers

Anywhere inside the boundaries of the country you are in

Answer: Statutes are laws created by the legislative branch through the lawmaking process. Statutes are written, discussed, argued and voted on in Congress or in the legislature of a state. The courts then apply and interpret these statutes on a case by case basis.

happy to help ☀️keep on shining☀️

Explanation:


PLEASEEEEE!!!!

A cube has a mass of 100 g and a volume of 50 mL. What is the density of the cube?

Answers

Answer:

The answer is 2.0 g/mL

Explanation:

The density of a substance can be found by using the formula

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

From the question

mass = 100 g

volume = 50 mL

We have

[tex] density = \frac{100}{50} = \frac{10}{5} \\ [/tex]

We have the final answer as

2.0 g/mL

Hope this helps you

re testing a new amusement park roller coaster with an empty car with a mass of 100 kg. One part of the track is a vertical loop with a radius of 12.0 m. At the bottom of the loop (point A) the car has a speed of 25.0 m/s and at the top of the loop (point B) it has speed of 8.00 m/s . You may want to review (Pages 203 - 212) . For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of A vertical circle with friction. Part A As the car rolls from point A to point B, how much work is done by friction?

Answers

Answer:

-4530 J

Explanation:

Given that

Mass of the car, m = 100 kg

Speed of the car at point A, v1 = 25 m/s

Speed at point B, v2 = 8 m/s

Radius of the track, r = 12 m and with respect to the origin of the center of the track, we say that y1 = -12 at point A and y2 = 12 at point B

We also know that

W(total) = W(grav) + W(other) = K₂ - K₁

Work done by the gravitational force, W(grav) = -U(grav) = mgy1 - mgy2

Kinetic Energy, K = ½mv²

Adding all together, we have

½mv₁² + mgy1 + W(other) = ½mv₂² + mgy2

½ * 100 * 25² + 100 * 9.8 * -12 + W = ½ * 100 * 8² + 100 * 9.8 * 12

50 * 625 + 980 * -12 + W = 50 * 64 + 980 * 12

31250 - 11760 + W = 3200 + 11760

19490 + W = 14960

W = 14960 - 19490

W = -4530 J

What year did Clara Baer invent Nukem/Newcomb ball?

Answers

Answer:

1895

Explanation: it was invented in 1895 by Clara Berra a physical education instructor at Sophie Newcomb College.

Answe Clara Baer invented Nukem/Newcomb ball in the year of 1895.

Explanation:Have a blessed day!

what formula do I use?​

Answers

Explanation:

(a) Given:

Δy = 0 m

v₀ᵧ = 20.0 m/s sin 53° = 16.0 m/s

aᵧ = -9.8 m/s²

Find: t

Use an equation that doesn't include final velocity, v.

Δy = v₀ᵧ t + ½ aᵧt²

0 m = (16.0 m/s) t + ½ (-9.8 m/s²) t²

0 = 16t − 4.9t²

0 = t (16 − 4.9t)

t = 3.26 s

(b) Given:

v₀ₓ = 20.0 m/s cos 53° = 12.0 m/s

aₓ = 0 m/s²

t = 3.26 s

Find: Δx

Use an equation that doesn't include final velocity, v.

Δx = v₀ₓ t + ½ aₓt²

Δx = (12.0 m/s) (3.26 s) + ½ (0 m/s²) (3.26 s)²

Δx = 39.24 m

(c) Given:

v₀ᵧ = 20.0 m/s sin 53° = 16.0 m/s

vᵧ = 0 m/s

aᵧ = -9.8 m/s²

Find: Δy

Use an equation that doesn't include t.

vᵧ² = v₀ᵧ² + 2aᵧ Δy

(0 m/s)² = (16.0 m/s)² + 2 (-9.8 m/s²) Δy

Δy = 13.02 m

Alternatively, use t/2 = 1.63 seconds, and use an equation that doesn't include the final velocity, v.

Δy = v₀ᵧ t + ½ aᵧt²

Δy = (16.0 m/s) (1.63 s) + ½ (-9.8 m/s²) (1.63 s)²

Δy = 13.02 m

1. An astronaut in a spacesuit has a mass of 80 kilograms. What is the weight of this astronaut on the surface of the Moon where the strength of gravity is approximately 1/6 that of Earth? (2 Points)

Answers

Weight = 80 x (9.8/6) = .... N

What are the Function of stand unit ​

Answers

Answer:

It is called the unit function because it is the identity element for Dirichlet convolution. It may be described as the "indicator function of 1" within the set of positive integers. It is also written as u(n) (not to be confused with μ(n), which generally denotes the Möbius function).

Place a small object on the number line below at the position marked zero. Draw a circle around the object. Mark the center of this circle with the symbol for “initial position”. Move the object 5.0cm to the right and stop. Label this circle with the correct symbol for “final position.”







(A) What was the initial position of the object?    

(B) What is the final position of the object?    

(C) What is the distance traveled by the object?    

(D) What is the displacement of the object?    

(E) Of the three underlined quantities, which are numerically equal?


Answers

Can you post a picture of the whole thing please

In the equation, y = A sin( wt - kx ), obtain the dimensional formula ' w ' and ' k.​

Answers

Answer:

In the given equation y=Asin(ωt−kx)

Since, trigonometric function is a dimensionless quantity. So, (ωt−kx)is also dimensionless quantity.

So,

(ωt−kx)=1

ωt=1

[ω]= 1=[T] ^−1

[T]

kx=1

[k]= 1=[L]^ −1

[L]

A family is visiting the Statue of Liberty in New York City. One of the children accidentally drops her backpack from the top of the viewing platform which is 300 feet above the ground. At what height will the kinetic energy of the backpack be equal to it's potential energy?

Answers

Have you figured out this answer yet. Pls say yes

In fact the actual height at which the two energies are equal can be determined only if there is a specified velocity. So by theoretically equating the energy equation we will arrive at the point that the height equal to 4.9 V².

What is kinetic energy?

The kinetic energy of a body is the energy formed by virtue of its motion. It is directly proportional to the mass and velocity of the moving body and the equation is written as:

KE = 1/2 MV².

Potential energy is formed by virtue of the position of a body and it is equal to mgh. Where, g is gravitational acceleration equal to 9.8 m/s² and m is mass and h is the height from the ground.

The total of these two energy is called mechanical energy of a body and the total mechanical energy of a body is always conserved.

If the kinetic energy and potential energy are equal then the equations can be equated as:

1/2 mV² = mgh

 V²/2 = gh.

         =9.8 h

 h  = 4.9 V²

Therefore at a height of 4.9 V² the energies of the falling body will be equal where v is the velocity of the moving body.

To find more about mechanical energy, refer the link below:

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Protons have ___charge; they have equal amounts of positive and negative ____charges?

Answers

Protons have positive charges

a torque of 100Nm is required to open a door. WHAT IS the minimum distance of the handle fromt he hinge. if the door is to be pulled open wth a force at handle not greater than 50N?

Answers

Answer:

At least [tex]2\; \rm m[/tex].

Explanation:

The torque [tex]\tau[/tex] that a force exerts on a lever is equal the product of the following:

[tex]F[/tex],  the size of that force,[tex]r[/tex], the distance between the fulcrum and the point where that force is applied, and[tex]\sin\theta[/tex], the sine of the angle between the force and the lever.

[tex]\tau = F\cdot r \cdot \sin\theta[/tex].

The force in this question is (at most) [tex]50\; \rm N[/tex]. That is: [tex]F = 50\; \rm N[/tex].

[tex]\sin \theta[/tex] is maximized when [tex]\theta = 90^\circ[/tex]. In other words, the force on the door gives the largest-possible torque when that force is applied perpendicular to the door. When [tex]\theta = 90^\circ\![/tex], [tex]\sin \theta =1[/tex].

If the force here is applied at a distance of [tex]r[/tex] meters away from the hinge (the fulcrum of this door,) the torque generated would be:

[tex]\begin{aligned}\tau &= F \cdot r \cdot \sin \theta \\ &= (50\, r)\; \rm N \cdot m\end{aligned}[/tex].

That torque is supposed to be at least [tex]100\; \rm N\cdot m[/tex]. That is:

[tex]50\, r \ge 100[/tex].

[tex]r \ge 2[/tex].

In other words, the force needs to be applied at a point a minimum distance of [tex]2\; \rm m[/tex] away from the hinge of this door.

The neutrons in the nucleus of an atom have-
a. a positive charge
b. a negative charge
C. both positive & negative charges
d. no charge

Answers

Answer "d' no charge

Explanation:

They are as the name says neutral. They have no charge they are electrically neutral. Just as a proton is a positively charged particle and an electron carries a negative charge.

The neutrons in the nucleus of an atom have:
D. No charge

Help pls it’s urgent

Answers

Answer:

decreases, but frequency increases.

Explanation:

Wavelength and frequency are inversely proportional, meaning the higher the frequency, the shorter the wavelength, and the lower the frequency, the longer the wavelength.

Based on what you learn about gravity describe why objects float in outer space

Answers

Answer:

Objects float in outer space because there is no gravitational force. The farther you get from earth, the less gravity.

Explanation:

Answer:

they float do to gravity

Explanation:

here if you tossed a ball in the air it would come back down fast in space however it would only float up and stay do to gravity

The mass of proton is 1.67x10 kg. How many protons will make a mass of
1,00kg?
1011

Answers

Answer: 938

Explanation:

1.67x10^-27kg (938V/c2)

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