A block of mass 1.0 kg rests on a trolley of mass 4.0 kg. The coefficient of dynamic friction between the block and the trolley is 0.30. A horizontal force f = 5.0 n acts on the block. The block slides over the trolley. What is the acceleration of the trolley?

Answers

Answer 1

Answer:

the acceleration of the trolley is the acceleration of the trolley is 0.75 m/s^-2

Explanation:

friction force between the block and the trolley

= 1×0.3×9.8

= 2.94 N

(F = ma)

the acceleration of the trolley

= friction force/mass

= 2.94/4

= 0.735 m/s^-2

= 0.75 m/s^-2

Answer 2

The acceleration of the trolley will be 0.75 m/s².Acceleration is the ratio of the force to the mass.

What is the friction force?

It is a type of opposition force acting on the surface of the body that tries to oppose the motion of the body. its unit is Newton (N).

Mathematically it is defined as the product of the coefficient of friction and normal reaction.

The friction force between the block and the trolley is found as;

[tex]\rm F_f = \mu N \\\\ \rm F_f = \mu \times mg \\\\ \rm F_f = 0.30 \times 1 \timess 9.81 \\\\ \rm F_f= 2.94 \ N[/tex]

Mechanical force is equal to the product of the mass and the acceleration which is equal to the frictional force;

[tex]\rm F_f =F=ma \\\\ \rm a = \frac{F}{m} \\\\ \rm a = \frac{2.94}{4} \\\\ a=0.735 \ ms^{-2}[/tex]

Hence the acceleration of the trolley will be 0.75 m/s².Acceleration is the ratio of the force to the mass.

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Related Questions

How to do this question plz ​

Answers

Answer:

Let L be the length of the wire.

N λ = M L      where N is the number of wavelengths λ. Also, M and are integers and L is the length of the wire

There must be nodes at the ends of the wire and anti-nodes at the points of zero displacement - λ/2, λ, 3λ/ 2, etc.

The simplest would be 2 λ = L   or L = λ / 2

In such a situation one would have

N-A-N    or node-antinode-node

There is a 180 degree phase change upon reflection of the wave creating the standing wave

The distance between nodes or anti-nodes must be λ/2 and there must  be nodes at the ends of the wire

How is the independent variable affected by the dependent variable

Answers

Answer:

A dependent variable is a variable that is tested in an experiment. An independent variable is that can be modified. Depending on what you are testing, the dependent variable will change accordingly to the dependent variable.

- I'm reading this back and it doesn't make much sense, if you want me to reword this I can

Please please help
Matter is made up of particles which
are too small to see without the aid of
a microscope. What do scientists call
these particles?
A.bonds
B.mixtures
C.energy
D.atoms

Answers

Answer:

D

Explanation:

how to find change in kinetic energy with velocity

Answers

Answer:

We know that ΔK = Kf - Ki = 1/2 m Vf^2 - 1/2 m Vi^2 = 1/2m(Vf^2-Vi^2) = 1/2 m ΔV^2.

The mass remains the same, just calculate the difference of squared velocities and multiply it by half of the mass.

A crate slides down a ramp that makes a 20∘ angle with the ground. To keep the crate moving at a steady speed, Paige pushes back on it with a 68 N horizontal force.
Part A
How much work does Paige do on the crate as it slides 3.0 m down the ramp?

Answers

Answer:

the answer is 69.7687j

Explanation:

W =F sin Φ

Define the following:
Variable
Data
Control
Technology
Hypothesis
Physical Science
Experiments

Answers

Answer:

Variable- not consistent or having a fixed pattern; liable to change

Data- facts and statistics collected together for reference or analysis

Control- a group or individual used as a standard of comparison for checking the results of a survey or experiment

Technology- the application of scientific knowledge for practical purposes, especially in industry

Hypothesis- a supposition or proposed explanation made on the basis of limited evidence as a starting point for further investigation

Physical Science- the sciences concerned with the study of inanimate natural objects, including physics, chemistry, astronomy, and related subjects

Experiments- a scientific procedure to make a discovery, test a hypothesis, or demonstrate a known fact

Explanation:

Both igneous and sedimentary rock can become metamorphic rock if enough ________________ are applied.

Answers

Enough heat and pressure
I hope this helps.

45. What is the wovelength of a 30. Hertz periodic
wave moving ol 60. meters per second?

a. 0.50m
c. m
b 20m
d 1800 m

Answers

The wavelength is 2m.

Hence, Option c) 2m is the correct answer

Given that;

Frequency; [tex]f = 30Hz[/tex]

Speed; [tex]v = 60m/s[/tex]

Wavelength; [tex]\lambda =\ ?[/tex]

using the expression for the relations between wavelength, frequency and speed of wave:

[tex]\lambda = \frac{v}{f}[/tex]

Where [tex]\lambda[/tex] is wavelength, f is frequency and v is speed.

We substitute our given values into the equation

[tex]\lambda = \frac{60m/s}{30Hz}\\\\\lambda = \frac{60m/s}{30s^{-1}}\\\\\lambda = 2m[/tex]

The wavelength is 2m.

Hence, Option c) 2m is the correct answer.

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The frequency of the moving wave is 30 Hz and if it is moving at the speed of 60 m/s then the wavelength will be equal to 2 m.

What is Wavelength?

The distance between two identical locations (adjacent crests) in successive cycles is known as the wavelength, and it is used to describe waveform signals that are transmitted over wires or into space. Typically, in wireless systems, this length is specified in meters (m), centimeters (cm), or millimeters (mm).

The wavelength is more frequently described in nanometers (nm), which are units of 10⁻⁹ m, or angstroms, which are units of 10⁻¹⁰ m, for infrared (IR), visible light (UV), and gamma radiation.

As per the provided given data in the question,

Frequency, f = 30 Hz

Speed, v = 60 m/s

Then, the wavelength of the moving wave will be,

λ = v/f

= 60/30

λ = 2 meters.

Therefore, the wavelength will be 2 meters.

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an airplane flies with a constant speed of 620 miles per hour. how far can it travel in 3 1/2 hours?

Answers

Answer:

hi there !

1 hour -------> 620 miles

3 1/2 ---------> ?

the number of miles the airplane travels in 3 1/2 hours

= 3 1/2 × 620 = "2170" miles

what is the potential energy of a 2kg plant that is on a windowsill 1.3 m high?

what is the kinetic energy of a 7.26 kg bowling ball that is rolling at a speed of 2 m/s

an apple as 6 J of energy. the apple sits on a counter 3 m high. what is the mass of the apple/

Answers

Answer:

25.48

Explanation:

18 through 22 multiple choice please help

Answers

Answer:

18:equilibrium

19:10.8

20:separating the surfaces with a layer of air

21:it remains motionless

22:cm/s

1. A ball rolls off a desk at a speed of 3.0 m/s, lands 0.40 seconds later, and lands 1.2 m away from the desk
b) how high is the desk

Answers

Answer:

0.784m

Explanation:

This is a projectile motion problem so we analyze the horizontal and vertical motions separately. Since the question is asking for the height of the desk, it shows we need to analyze the vertical motion.

The definition of energy is the ability to ___________.

(Hint: one word)

Answers

Energy is defined as the ability to do work
The word is (Work) !!!!!!!

How do you un rewrap something?

Answers

wrap it back up……….

what is q if 28.6 g of water is heated from 22.0°c to 78.3°c? the specific heat of water is 4.184 j/g·°c.

Answers

Answer:

6736 J

Explanation:

Knowing that Q = cmΔT:

Q = 4.184 J/(g·°C) · 28.6g · (78.3 °C - 22.0 °C) = 6736 J.

A 100 g mass of tungsten at 100.0°C is placed in 200 g of water at 20.0°C. The
mixture reaches equilibrium at 21.6°C. Calculate the specific heat of tungsten

Answers

ok so basically

If you,
q= 100g x 4.186 j/g*degrees C * (21.6 degrees C- 20.0 degrees C) which equals to 1.6.

So q= 100g * 4.186 j/g*deg C * 1.6

The specific heat capacity of tungsten given the data from the question is 0.17 J/gºC

Data obtained from the question

Mass of tungsten (M) = 100 g

Temperature of tungsten (T) = 100 °C

Mass of water (Mᵥᵥ) = 200 g

Temperature warm water (Tᵥᵥ) = 20 °C

Specific heat capacity of the water (Cᵥᵥ) = 4.184 J/gºC

Equilibrium temperature (Tₑ) = 21.6 °C

Specific heat capacity of tungsten (C) = ?

How to determine the specific heat capacity of tungsten

Heat loss = Heat gain

MC(T – Tₑ) = MᵥᵥCᵥᵥ(Tₑ – Tᵥᵥ)

100 × C × (100 – 21.6) = 200 × 4.184(21.6 – 20)

100 × C × 78.4 = 1338.88

Divide both sides by 100 × 78.4

C = 1338.88 / (100 × 78.4 )

C = 0.17 J/gºC

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A wave has frequency of 50 Hz and a wavelength of 10 m. What is the speed of the wave?
I need the Formula,Known,Substitute & Solve Answer with Units

Answers

Answer:

This is the answer that I got.

Explanation:

Hope it is right.

There can be multiple equal & opposite forces acting on a singular object?
True or False

Answers

Answer:

true

Explanation:

negative positive horizontal vertical gravity, friction and more

if the speed of a car is increased by 50%, bywhat factor will its minimum braking distance be increased, assuming all else is the same?

Answers

When the speed of a car increases by a factor of 50%, the minimum braking distance will also be increased by a factor.

Braking distance will increase by a factor  2.25

Solution

From Newton's equation of motion, we can say that;

v² = u² + 2as

Where initial velocity is zero, we have;

v² = 2as

s = v²/2a

s is the distance and v is the final speed.

50% increase in speed means it has increased by a factor of 1.50

Hence we have

1.50²v² is directly proportional to the 1.50²d

Distance = 1.50²v² = 2.25d

Hence, breaking distance will increase by a factor 3.0625

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The smallest possible particle of complete matter is the atom. True or false?

true

false

Answers

Answer:

TRUE !!

Explanation:

An atom is the smallest particle of an element

nitrogen dioxide is a major component of smog which type of chemical reaction creates this product?
a. synthesis reaction
b. replacement reactions
c. combustion reactions
d. decomposition reaction

Answers

Answer:

A.synrhesis reaction

#carryonlearning


A student claims that the total momentum of a system of objects is conserved when there is no net force on the system.
To test the claim, the student uses a cue ball (white) and rolls it into an eight ball (black). When the balls collide, the cue
ball comes to a complete stop and the eight ball begins to move. The mass of the cue ball is 0.17 kg, and the mass of
the eight ball is 0.16 kg. A radar is used to measure the speed of the cue ball immediately before it comes in contact
with the eight ball, and another radar is used to measure the speed of the eight-ball immediately after the point of
contact. The cue ball approaches the eight ball at a speed of 4.00 m/s. After contact, the eight ball moves away from the
cue ball at a speed of 4.25 m/s. The scenario is shown in the picture.

Answers

The total momentum of the system is conserved and the momentum did not change.

The given parameters:

Mass of the white ball, m₁ = 0.17 kgMass of the black ball, m₂ = 0.16 kgInitial velocity of the white ball, u₁ = 4 m/sFinal velocity of the black ball, v₂ = 4.25 m/s

The initial momentum of the system is calculated as follows;

[tex]P_i = m_1 u_1 + m_2 u_2\\\\P_i = 0.17 \times 4 \ + \ 0.16(0)\\\\P_i = 0.68 \ kg m/s[/tex]

The final momentum of the system is calculated as follows;

[tex]P_f = m_1 v_1 + m_2 v_2 \\\\P_f = 0.17 (0) \ + 0.16(4.25)\\\\P_f = 0.68 \ kg m/s[/tex]

Thus, the total momentum of the system is conserved and the momentum did not change.

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how to find acceleration with force and mass calculator

Answers

Answer:

[tex]{ \rm{F=ma}} \\ [/tex]

Explanation:

F is forceM is massa is acceleration

Answer:

Please thank, answer below

Explanation:

Acceleration = (Final velocity - starting velocity)/time

Or, Force = mass * accelartion, which can be rewritten to be Accelaration = Force/mass

Use the drop-down menus to complete each statement. Is the process of charging an object without touching it. Is the process of charging a sphere by touching it with a charged rod.

Answers

The process of charging an object without touching it is called induction charging.

The process of charging a sphere by touching it with a charged rod is called charging by conduction..

When an uncharged object brings into the contact of the charged object but not touching the object directly, the uncharged object gets charged. This process of charging is called Induction Charging.

When an uncharged object brings in to the contact of the charged object by touching it directly, the uncharged object gets charged, This process of charging is called Conduction Charging.

When a charged rod touches the metal sphere, sphere gets same charged as the rod. The process of charging a sphere by touching it with a charged rod. is called conduction charging.

For more details about the conduction and induction charging, follow the link given below.

https://brainly.com/question/13599143.

Answer:

induction and conduction or 3,2 or c and b

Explanation:

edge 2022

Objects 1 and 2 attract each other with a gravitational force
of 18.0 units. If the mass of Object 1 is doubled mass of object 2 is tripled AND the
distance separating Objects 1 and 2 is halved, then the gravitational force will be
new gravitational force will be
units.

Answers

The new gravitational force of the two objects will be 432 N.

The given parameters:

Force between object 1 and object 2, F = 18 N

Let the mass of object 1 = m1Let the mass of object 2 = m2Let the distance between the two object = r

The gravitational force between the two objects is calculated by applying Newton's law of universal gravitation;

[tex]F = \frac{Gm_1m_2}{r^2} \\\\G = \frac{Fr^2}{m_1m_2}\\\\G = \frac{Gm_1m_2}{r^2} \\\\G = \frac{18r^2}{m_1m_2}[/tex]

when the mass of the object 1 = 2m1mass of the object 2 = 3m2distance between the two object = ¹/₂r

[tex]\frac{18r^2}{m_1 m_2 } = \frac{F_2(\frac{1}{2}r)^2 }{2m_1 \times 3m_2} \\\\\frac{18r^2}{m_1 m_2 } = \frac{F_2 \times r^2}{4 \times 2m_1 \times 3m_2} \\\\\frac{18r^2\times 4 \times 2m_1 \times 3m_2}{m_1 m_2\times r^2 } = F_2\\\\432 \ N = F_2[/tex]

Thus, the new gravitational force of the two objects will be 432 N.

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A 3.1 kg carton's GPE was increasing by 7.8 J as it was lifted above the ground. How high was it lifted?

Answers

Answer:it was lifted

Explanation:

by me lifting it because i can life it very high

What are the rest of the blanks?

Answers

Not quite, just wanted the points lol

Pravat exerts a force of 30 N to lift a bag of groceries 0. 5 m. How much work did Pravat do on the bag? Note : Work = Force x Distance 0 J 15 J 30 J 60 J.

Answers

Answer:

15 J

Explanation:

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

workdone = force × distance

From the question we have

workdone = 30 × 0.5 = 15

We have the final answer as

15 J

Hope this helps you

The amount of work done by Pravat if he exerts a force of 30 N to lift a bag of groceries 0.5m is 15J.

WORK DONE:

The work done by a body can be calculated by multiplying the force exerted by the distance moved. That is;

Work done = force (F) × distance (m)

According to this question, Pravat exerts a force of 30N to lift a bag of groceries 0.5 m. The work done is calculated as follows:

Work done = 30N × 0.5m

Work done = 15J

Therefore, the amount of work done by Pravat if he exerts a force of 30 N to lift a bag of groceries 0.5m is 15J.

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What force is responsible for how magma flows and rocks stack up on top of one another?

Question 6 options:

Electroweak and Strong


Nuclear


Electromagnetic


Gravitational

Answers

Gravitational force is responsible for how magma flows and rocks stack up on top of one another.

Gravitational force is the force hat attracts all objects to the center of the earth. The force of gravity accounts for the fact that when an object is thrown up, it falls back to the earth.

The force that is responsible for how magma flows and rocks stack up on top of one another is the gravitational force.

Hence, it is the gravitational force that is responsible for how magma flows and rocks stack up on top of one another.

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a 25 kg cart has 125 kg*m/s of momentum, how fast is the car going

Answers

Answer:

5m/s

Explanation:

equation for momentum is mass times velocity

25 x 5 = 125

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