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?
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]
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?
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.
Knowing Newton’s 2nd Law, how would you rearrange it to solve for acceleration.
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
A circus performer walked up and to the right for a total displacement of 10\,\text m10m10, start text, m, end text along a diagonal tightrope angled 30 \degree30°30, degree above the ground.
Answer: 5m
(10m) sin 30
=5m
The vertical displacement of the circus performer in m is 5m.
What is displacement?The displacement is the shortest distance travelled by the particle. It is the vector quantity which represents both the magnitude and direction.
A circus performer walked up and to the right for a total displacement of 10 m along a diagonal tightrope angled 30° above the ground.
We know the hypotenuse is 10m (diagonal) and the angle above the ground is 30°
The displacement will be sin (30) of hypotenuse.
Displacement = 10 sin (30)
d = 5m
Thus, the vertical displacement of the circus performer is 5 m.
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If the same pressure is exerted over a greater area will more of less force result?
more force
less force
the same amount of force
Answer:
less force
Explanation:
less force because they is increase in area and not enough energy to balance the whole equation
Answer:
the same
Explanation:
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
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/s²The 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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A ship's propeller of diameter 3 m makes 10.6 revolutions in 30s. What is the angular velocity of the propeller?
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!
Given:
Angular displacement,
[tex]\Theta = 10.6[/tex]Diameter,
3 mTime,
[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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Name all errors and type it again
EZ POINTS CMON
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.
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!
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:
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
Answer:
98
Explanation:
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?
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
Question 3 of 10
Which sentence best explains the difference between potential energy and
kinetic energy?
A. Potential energy is related to an object's motion, and kinetic
energy is related to its position.
B. Potential energy is related to an object's position, and kinetic
energy is related to the arrangement of its particles.
C. Potential energy is related to an object's shape, and kinetic energy
is related to its position.
D. Potential energy is related to an object's position, and kinetic
energy is related to its motion.
SUBMIT
Answer
D
Explanation:
Potential energy is related to an object's position, and kinetic
energy is related to its motion.
Which describes the role of oxygen in photosynthesis? *
It is a reactant, so it is released by the plant.
It is a product, so it is released by the plant.
It is a reactant, so it enters the plant.
It is a product, so it enters the plant.
Answer:
It is a product, so it is released by the plant.
Explanation:
[tex]6CO2 + 6H2O[/tex] → [tex]C6H12O6 + 6O2[/tex]
The plant uses water and carbon dioxide to create glucose and oxygen. Glucose is plant food, and Oxygen is given off as a byproduct.
Answer:
It is a product, so it is released by the plant.
Explanation:
The weight of a cart with a mass of 150 kg is. _N. (Use 9.8m/s2 for the acceleration due to gravity.)
Answer: it’s 1,470 N
Explanation:
Since F=m*a then 150*9.8=1,470.
Weight of given cart is 1,470 N
Given that:
Mass of cart = 150 kg
Acceleration due to gravity = 9.8 m/s²
Find:
Weight of cart
Computation:
Weight = m × g
Weight of cart = Mass of cart × Acceleration due to gravity
Weight of cart = 150 × 9.8
Weight of cart = 1,470 N
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Is a mirror reflective?
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.
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.
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
please help!!! give me a summary on why human population is either good or bad!! thank youu
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.
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!
The image below shows a model of the atom which subatomic particle does the arrow in the image below identify ?
Answer:it’s a
Explanation:
Answer:
A electrons
Explanation:
bcs
solve the dimension of work in physics
Explanation:
W=F×s
=> W= [MLT^-2] [L]
W= [ML2T-2]
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?
Your answer would be Device A.
Answer:
Device A because it would use more voltage :D
Explanation:
how much momentum does a 5 kg object moving at 10 m/s have?
Answer:
p = 50 kg·m/s
Explanation:
attached is a good way to remember the formula!
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!
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.
What is mean by speed?
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 .
How old is the earth? PLEASE HELP ME WITH THIS QUESTION BANANAFANART
I’LL GIVE U BRAINLIEST BANANAFANART PLEASE ANSWER IT :(
Answer:
The earth is 4 billion years old.
Explanation:
8. An example of muscular endurance is:
A. Sit and Reach
B. Push Up
C. 100 meter sprint
D. None Of The Above
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?
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 ==> x ≈ 43.6 m
What tool of dream analysis says that feelings and urges are hidden inside an event? condensation symbolism projection displacement
Answer:
Condensation
Explanation:
Answer:
Condensation! Hope this helps!!!
Explanation:
pls help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
the last answer is correct.
Explanation:
If one team pulls with more force than the middle flag or marker will move
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?