A rubber-wheeled 50 kg cart rolls down a 35 degree concrete incline. Coefficient of rolling friction between rubber and concrete is = 0.02. (a) What is the cart's acceleration if rolling friction is neglected? (b) What is the cart's acceleration if rolling friction is included?

Answers

Answer 1

Answer:

(a) 5.62 m/s²

(b) 5.46 m/s²

Explanation:

The given values are:

mass,

m = 50 kg

angle

= 35°

(a)

If friction neglected,

⇒ [tex]F_x=mgSin \theta=ma[/tex]

⇒ [tex]a_x=gSin \theta[/tex]

       [tex]=9.8 \ Sin35^{\circ}[/tex]

       [tex]=5.62 \ m/s^2[/tex]

(b)

If friction present,

⇒ [tex]F_x=mgCos \theta[/tex]

⇒ [tex]F_x=mgSin \theta-\mu_r mgCos \theta[/tex]

⇒ [tex]a=gSin \theta-\mu_rgCos \theta[/tex]

      [tex]=9.8 \ Sin35^{\circ}-0.02\times 9.8 \ Cos30^{\circ}[/tex]

      [tex]=5.46 \ m/s^2[/tex]


Related Questions

Can you hear sounds from space or not? Why or Why not?

Answers

Answer: NO

Step by step explanation: No you cannot hear sounds from space, sound travels though the vibrations of Atoms and molecules so in space there is no air, so sound would have no way to travel....

Please help me! Yes, I know the quality SUCKS I have an old Android lol​

Answers

Answer:

top to 2\

next to top

then to up one

next to up

Explanation:

Mass: amount of matter in an object
Weight: downward pull on an object
Balance: tool used to measure mass
Scale: tool used to measure weight

Two forces, F1 and F2, are applied to a block on a frictionless, horizontal surface
as shown below. If the magnitude of the block's acceleration is 2.0 meters per
second2, what is the mass of the block? *
F, = 12 N
F2 =2N
Block
Frictionless surface

Answers

Answer:

F, = 12N. F, = 2 N. Block. 4) a 20.0-kg mass moving at 1.00 m/s.

Explanation:

The mass of the block on the frictionless horizontal surface is 5 kg.

The given parameters;

magnitude of the first force, F₁ = 12 Nmagnitude of the second force, F₂ = 2 Nacceleration of the block, a = 2 m/s²

The mass of the block is determined by applying Newton's second law of motion;

F = ma

[tex]\Sigma F = ma\\\\F_1 - F_2 = ma\\\\12 - 2 = 2m\\\\10 = 2m\\\\m = 5 \ kg[/tex]

Thus, the mass of the block on the frictionless horizontal surface is 5 kg.

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What tool of dream analysis says that feelings and urges are hidden inside an event? condensation symbolism projection displacement

Answers

Answer:

Condensation

Explanation:

Answer:

Condensation! Hope this helps!!!

Explanation:

how much momentum does a 5 kg object moving at 10 m/s have?

Answers

Answer:

p = 50 kg·m/s

Explanation:

attached is a good way to remember the formula!

Which TWO correctly relate the attraction between the particles of a liquid and the temperature at which the liquid changes state?

A. Strong attractions mean the liquid melts at a higher temperature
B. Strong attractions mean the liquid melts at a lower temperature
C. Strong attractions mean the liquid boils at a higher temperature
D. Strong attractions mean the liquid boils at a lower temperature

Answers

Answer:

a &c

Explanation:

>3

Attraction between the molecules of a liquid and the temperature at which the liquid changes state is "Strong attractions mean the liquid boils at a higher temperature". The correct option is C

What is Temperature ?

Temperature is a physical quantity which measures hotness and coldness of a body. Temperature measures the degree of vibration of molecule in a body. Temperature is measured in centigrade (°C), Fahrenheit (°F) and Kelvin (K) in which Kelvin (K) is a SI unit of temperature. Absolute scale of temperature means Kelvin scale of temperature.

relation between Kelvin(K) and centigrade (°C),

°C= K - 273.15

from equation, 273.15 K means 0 °C, which is freezing point of water (ice).

when we give temperature to the body, its molecule or atom absorbs thermal energy and vibrate about their mean position. Amplitude of vibration get increases as we go on increasing temperature and for higher temperature force of attraction between molecules gets weaker. Hence for higher temperature, due to weaken the force of attraction between molecule, solid goes into liquid state. and further increase in temperature liquid goes into gaseous state.

Liquid has stronger force of attraction than gas and weaker than solid. Strong force of attraction means high temperature should be given to break molecular bonds. Therefore Strong attractions mean the liquid boils at a higher temperature.

Hence option C is correct.

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A 1242 kg car is moving at 22.5 m/s when it skids to a stop. The car's brakes, which caused the stop, applied a force of -7210 N in order to slow down the car. What was the acceleration of the car during it's slowing down to rest?

Answers

The work needed to stop the car is

W = ∆K = 0 - 1/2 (1242 kg) (22.5 m/s)² ≈ -314 kJ

A stopping force that does this amount of work, pointing in the opposite direction with magnitude 7210 N, would be exerted over a distance x such that

W = (-7210 N) x   ==>   x43.6 m

Los satélites de televisión giran alrededor de la Tierra en una órbita de 42370 km de radio. a) ¿Cuánto vale la aceleración de la gravedad en esa órbita? (Resultado: g = 0,22 m/s2 ) b) ¿Cuánto pesará allí un satélite de 1200 kg? (Resultado: P = 264 N) Datos: G = 6,67 10-11 Nm2 /kg masa de la Tierra: 6 1024 kg

Answers

Answer:

(a) La aceleración de la gravedad en esa órbita es 0.22 [tex]\frac{m}{s^{2} }[/tex]

(b) Un satélite de 1,200 kg pesará allí 264 N.

Explanation:

(a) Cada punto del espacio tiene un  valor del campo proporcional a la función, siguiendo el modelo de gravitación de Newton:

[tex]g=G*\frac{m}{r^{2} }[/tex]

donde m será masa, r  la distancia entre los objetos y G la constante de gravitación universal, cuyo valor es [tex]G=6.672*10^{-11}\frac{N*m^{2} }{kg }[/tex]

En este caso:

m= 6*10²⁴ kgr=42,370 km= 42,370,000 m

Reemplazando:

[tex]g=6.672*10^{-11}\frac{N*m^{2} }{kg }*\frac{6*10^{24}kg }{(42,370,000 m)^{2} }[/tex]

Resolviendo, obtenes:

g= 0.22 [tex]\frac{m}{s^{2} }[/tex]

La aceleración de la gravedad en esa órbita es 0.22 [tex]\frac{m}{s^{2} }[/tex]

(b) La ley fundamental de la dinámica o segunda ley de Newton expresa que la fuerza neta que es aplicada sobre un cuerpo es proporcional a la aceleración que adquiere en su trayectoria.  Esto se expresa matemáticamente como:

F= m*a

en donde  F es fuerza neta , m la masa y a la aceleración.

El peso es la fuerza que ejerce la gravedad sobre una masa, por lo que se obtiene de manera análoga a la fuerza:

P=m*g

En este caso la masa m tiene un valor de 1,200 kg y la gravedad g un valor de 0.22 [tex]\frac{m}{s^{2} }[/tex].

Reemplazando:

P=1,200 kg*0.22 [tex]\frac{m}{s^{2} }[/tex]

Resolviendo:

P= 264 N

Un satélite de 1,200 kg pesará allí 264 N.

how can you differentiate between fast motion and slow motion​

Answers

Use the formula, F = ma, which is the basic equation of motion in classical mechanics. A slow motion will tend to have lower acceleration and vice versa

A ship's propeller of diameter 3 m makes 10.6 revolutions in 30s. What is the angular velocity of the propeller?

Answers

Answer:

The angular velocity of the propeller is 2.22 rad/s.

Explanation:

The angular velocity (ω) of the propeller is:  

[tex] \omega = \frac{\Delta \theta}{\Delta t} [/tex]                              

Where:

θ: is the angular displacement = 10.6 revolutions

t: is the time = 30 s

[tex] \omega = \frac{\Delta \theta}{\Delta t} = \frac{10.6 rev*\frac{2\pi rad}{1 rev}}{30 s} = 2.22 rad/s [/tex]

Therefore, the angular velocity of the propeller is 2.22 rad/s.

I hope it helps you!

The angular velocity will be "2.22 rad/s".

Given:

Angular displacement,

[tex]\Theta = 10.6[/tex]

Diameter,

3 m

Time,

[tex]\Delta t = 30 \ s[/tex]

Now,

The angular velocity will be:

→ [tex]\omega = \frac{\Delta \Theta}{\Delta t}[/tex]

By putting the values, we get

       [tex]= \frac{10.6\times \frac{2 \pi rad}{1 \ rev} }{30 \ s}[/tex]

       [tex]= 2.22 \ rad/s[/tex]

Thus the response above is right.

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pls help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

the last answer is correct.

Explanation:

If one team pulls with more force than the middle flag or marker will move

A 5.0kg concrete block accelerates down a 34 degree slope at 4.2 m/s^2. Find the Coefficient of friction between the block and the slope.

Answers

Answer:

The coefficient of friction between the block and the slope is 0.16.

Explanation:

We can find the coefficient of friction between the block and the slope by using Newton's second law:        

[tex] \Sigma F = ma [/tex]

[tex]P_{x} -\mu N = ma[/tex]

[tex] mgsin(\theta) - \mu mgcos(\theta) = ma [/tex]    (1)              

Where:

m: is the mass of the block = 5.0 kg

a: is the acceleration = 4.2 m/s²

θ: is the angle = 34°

μ: is the coefficient of friction =?

g: is the gravity = 9.81 m/s²

By entering the above values into equation (1) we have:

[tex] gsin(\theta) - \mu gcos(\theta) = a [/tex]                  

[tex] \mu = \frac{gsin(\theta) - a}{gcos(\theta)} = \frac{9.81 m/s^{2}*sin(34) - 4.2 m/s^{2}}{9.81 m/s^{2}*cos(34)} = 0.16 [/tex]

Therefore, the coefficient of friction between the block and the slope is 0.16.

I hope it helps you!        

Developing: Ohm’s Law states that Voltage (V) = Current (I) x Resistance (R). You can calculate the voltage. You can also solve for current or resistance if you mathematically rearrange the equation.

Use Ohm’s Law to calculate the missing variable. Be sure to show your work in the space provided. Round to the nearest tenths.


What is the resistance of a light if the voltage is 12 V and the current is 15 A (living room)?




What is the voltage of a circuit with 15 amps (bedroom) of current and a bedroom light with 12 ohms of resistance?






There is a 28 resistance in the dryer. It is plugged into a 240 V circuit. How much current passes through the dryer?

Answers

V = I · R

I = V / R

R = V / I

R = V / I

Resistance of the living room light = (12V) / (15A)

Resistance of the light = 0.8 ohm

V = I · R

Voltage of the bedroom circuit = (15 A) · (12 ohms)

Voltage of the bedroom circuit = 180 volts

I = V / R

Current through the dryer = (240V) / (28 ohms)

Current through the dryer = 8.57 A

The image below shows a model of the atom which subatomic particle does the arrow in the image below identify ?

Answers

Answer:it’s a

Explanation:

Answer:

A electrons

Explanation:

bcs

Device A has a current of 0.4 A and a resistance of 3 Ω. Device B has a current of 0.6 A and a resistance of 3Ω. Which device would be more energy efficient?

Answers

Your answer would be Device A.

Answer:

Device A because it would use more voltage :D

Explanation:

What is the mass of an object that has an acceleration of 2.63 m/s^2 when an unbalanced force of 112 N is applied to it?

Answers

112/2.63= 42.586
42.586 is your answer I need 20 characters

NEED HELP IS THERE SOMEONE CAN HELP ME PLS :)

Answers

if you climb the hill you will be tired also it will be 4.00 meters per second

How old is the earth? PLEASE HELP ME WITH THIS QUESTION BANANAFANART
I’LL GIVE U BRAINLIEST BANANAFANART PLEASE ANSWER IT :(

Answers

Answer:

The earth is 4 billion years old.

Explanation:

please help!!! give me a summary on why human population is either good or bad!! thank youu

Answers

It is bad because humans are destroying the planet with pollution and cutting down natural habitats. This is not only killing the human population in the future, but as of right now they are killing animals, and trees. The human population is slowly destroying the planet.

Knowing Newton’s 2nd Law, how would you rearrange it to solve for acceleration.

Answers

Answer:

Force / mass

Explanation:

Divide mass on both sides to get acceleration by itself leaving you with mass below force hence divide force by mass

Newton’s 2nd : Force = rate of change of momentum
= (mv - mu) / t
= m (v-u) / t
= m a

( since a = (v-u)/t )

From F = m a then a= F/m

Johanna took her younger brother to the playground because he likes to swing. Look at the diagram below that shows Johanna pushing her brother on a swing.
12. After Johanna pushes for a while, she begins to feel tired. What type of energy is transformed into the kinetic energy she uses? A. chemical B. electrical C. nuclear D. thermal - Help fast I have my test soon!

Answers

Answer:

A. chemical

Explanation:

the type of energy our body contain is chemical energy and that chemical energy is the one used while pushing the swing.. so I guess it's chemical energy.. based on my knowledge hope this helps.

solve the dimension of work in physics​

Answers

Explanation:

W=F×s

=> W= [MLT^-2] [L]

W= [ML2T-2]

Is a mirror reflective?

Answers

Answer:

A mirror is an image reflecting an object.

Explanation:

yes a mirror is reflective

A mirror is a reflector of the wave. When light waves reflect the flat surface of a mirror, the same curvature and vergence are retained, in equal but opposite direction, by these waves as by the original waves.

Coating a piece of glass on one side with glistening metals can convert the glass into a mirror that mirrors light. Window glass may reflect only 8% of the light, while mirrors can display 95% of the light. The glass in a mirror is generally covered in a silver or aluminum layer. dark material is placed on the back to prevent the tearing of the metal (reacting with the air and turning dull). The other side of the glass can be a mirror or a simple glass. This can be used to make windows easily visible, but difficult to view.

Answer:

Explanation:

Yes, a mirror is reflective to light. But there are electro magnetic waves of different frequency like radio wave that a mirror is not reflective.

A balloon-powered car rolls across the floor at a speed of 0.711 m/s. How long does it take to cover 8.25 m?

Answers

Answer:

Time = 11.60 seconds.

Explanation:

Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.

Mathematically, speed is given by the equation;

[tex]Speed = \frac{distance}{time}[/tex]

Given the following data;

Speed = 0.711m/s

Distance = 8.25m

To find the time;

Making time the subject of formula, we have;

[tex]Time = \frac{distance}{speed}[/tex]

Substituting into the equation, we have;

[tex]Time = \frac{8.25}{0.711}[/tex]

Time = 11.60 secs.

Two types of energy can be either kinetic or potential energy. Identify those two types. For each type, explain why it can be either kinetic or potential. -Help fast i have my test soon!

Answers

Answer:

All forms of energy are either kinetic or potential. The energy associated with motion is called kinetic energy . The energy associated with position is called potential energy . Potential energy is not "stored energy".

Explanation:

All forms are mostly kinetic!!

What is mean by speed?​

Answers

Answer:

Speed is acceleration or a high rate of motion

Answer:

the rate at which something or someone moves or operates or is able to move or operate .


8. An example of muscular endurance is:
A. Sit and Reach
B. Push Up
C. 100 meter sprint
D. None Of The Above

Answers

The answer is B. Push ups require using arm strength and muscle function to be able to push down and push yourself back up.

Name all errors and type it again
EZ POINTS CMON

Answers

Answer:

you need to capitalize

Explanation:

When Grandpa Joe comes to visit, he tells us stories about when he was in the army with Colonel Jack S. Anderson.

Sometimes, I have to take my cat, Gigi, in the car. She doesn’t like this, and tends to hide under the couch when she knows she has to go. This means I have to drag her out. Assuming she is using her claws to try and stop me, identify the forces acting on Gigi, and draw a free body diagram for the situation. Make sure you label each force and identify where it’s coming from.

Answers

Answer:

F - fr = ma ,    N - W = 0

Explanation:

In this exercise we are asked to identify the forces that act on the jack, for this we will use Newton's second law

On the x axis

We have two forces: the friction and the force of the girl who pulls the cat

           F - fr = ma

On the y axis

There are two forces: normal and weight

         N - W = 0

A diagram of these forces can be seen in the attachment

A baseball player’s bat applies an average force of 220. newtons to a tennis ball for 0.03 second. The average force exerted on the racket by the tennis ball is

Answers

Answer:

98

Explanation:

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