A makeshift sign hangs by a wire that is extended over an ideal pulley and is wrapped around a large potted plant on the
roof as shown in the figure below. When first set up by the shopkeeper on a sunny and dry day, the sign and the pot are in
equilibrium. The mass of the sign is 27.5 kg, and the mass of the potted plant is 67.5 kg.
Plant
sale
today!
(a) Assuming the objects are in equilibrium, determine the magnitude of the static friction force experienced by the
potted plant.
N
(b) What is the maximum value of the static friction force if the coefficient of static friction between the pot and the
roof is 0.707?
N
Answer:I know the answer for B cus I’m doing the same problem. For B, you would only take the coefficient of friction given and then multiply it by the Normal Force, which in this case is the same as the Gravitational Force.
Explanation:
Two blocks, 1 and 2, are connected by a massless string that passes over a massless pulley. 1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. 2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105
Find the magnitude 2 of the acceleration of block 2.
The magnitude of acceleration of block 2 is 4.67 m/s².
The diagram representing the blocks is shown below:It can be observed that the two blocks are connected by a massless string that passes over a massless pulley. 1 has a mass of 2.25 kg and is on an incline of angle 1=42.5∘ that has a coefficient of kinetic friction 1=0.205. 2 has a mass of 5.55 kg and is on an incline of angle 2=33.5∘ that has a coefficient of kinetic friction 2=0.105.Now let's derive the equation for acceleration, a2.
A key concept that must be understood to solve the problem is the difference in tension on either side of the string. Since the pulley is massless and frictionless, the tension must be the same on both sides. We can derive this concept using the following equations:Tension on block 1 side:T1 = m1(g)sin(1) - m1(g)cos(1) * f1Tension on block 2 side:T2 = m2(g)sin(2) + m2(g)cos(2) * f2Where g is acceleration due to gravity, which is equal to 9.8 m/s².Then:T1 = T2T1 + m1(g)cos(1) * f1 = m2(g)sin(2) + m2(g)cos(2) * f2Substitute the values into the above equation:2.25(9.8)cos(42.5) * 0.205 + 2.25(9.8)sin(42.5) = 5.55(9.8)sin(33.5) + 5.55(9.8)cos(33.5) * 0.105T2 = 25.836 N (correct to 3 significant figures)Now we can find the acceleration of block 2.
The acceleration of block 1 can be determined using the following equation:a1 = g(sin(1) - f1 cos(1))a1 = 9.8(sin(42.5) - 0.205cos(42.5))a1 = 5.748 m/s² (correct to 3 significant figures)Using the equation for acceleration of block 2:a2 = (T1 - T2) / m2a2 = (25.836 - 0) / 5.55a2 = 4.667 m/s² (correct to 3 significant figures).
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Diffrence between MeV and meV?
Answer:
Difference between MeV and meV?
1 MV = 1000000 volts. 1 MeV stands for million electron volts. It is a unit of energy. 1 MeV = 1.60217653 x 10 13
Explanation:
hope this helps <3
a cat is being chased by a dog both are running in a straight line at constant speed. The cat has a headstart
If the x-component of vector A in the figure below is 3cm and the y component of A is 4cm, then what is the vector quantity of A?
Question 9 options:
25 cm - 37 degrees
7 cm - 37 degrees
7 cm - 53 degrees
5 cm - 53 degrees
Answer:
5 cm - 53 degrees
Explanation:
\( \sqrt{ {4}^{2} + {3}^{2} } = 5cm\)
\( \tan ^{ - 1} (4 \div 3) \) = 53°
Prominences and sunspots are both:
A. Jets of burning gas
B. Patches on the Sun's surface
C. Influenced by the Sun's electromagnetic field
D. Visible during an eclipse
Answer:
C. Influenced by the Sun's electromagnetic field
Explanation:
"Sunspots occur in pairs because each is one side of a loop of the Sun's magnetic field that reaches the Sun's surface. Solar prominences are the plasma loops that connect two sunspots."
Our school needs to offer healthier options in the lunchroom. Elever High School has recently updated its cafeteria menu to include whole wheat pasta and breads, a fresh salad bar, and other healthy menu items. Students there claim that they have more energy and focus throughout their school day. Let's encourage healthier menus in our lunchroom!
What type of evidence does the writer of this passage use to support her claim?
statistics
statistics
an expert's opinion
an expert's opinion
examples
examples
the writer's opinion
Answer:
b
Explanation:
Convert 140.8 centimeters to inches.
Using one step conversions.
Answer:
140.8/2.54=55.43 inches
Wood is an example of
A. Metalloid
B. Insulator
C. Nonmetal
D. Conductor
Pls help and explain how to get the answer
(a) The magnitude of the gravitational force on the rock is 64.68 N and on the pebble is 5.488 x 10⁻³ N.
(b) The acceleration of each object is equal to acceleration due to gravity, = 9.8 m/s².
What is the gravitational force exerted on each object?The gravitational force exerted on each object is calculated by applying Newton's law of universal gravitation as follows;
Fg = Gm₁m₂ / R²
where;
G is universal gravitation constantm₁ is the mass of the rockm₂ is the mass of pebbleThe acceleration of each object will be constant and equal to acceleration due to gravity, the force on each object is calculated by using Newton's second law of motion.
Force on the rock;
F = mg
where;
g is acceleration due to gravityF = 6.6 kg x 9.8 m/s²
F = 64.68 N
The force on the pebble;
F = mg
F = 5.6 x 10⁻⁴ x 9.8
F = 5.488 x 10⁻³ N
Thus, the acceleration of each object is equal to acceleration due to gravity, = 9.8 m/s².
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2. For electric circuit shown in Figure find currents in each resistor.
The current flowing in the 2Ω and 1Ω is 1.14 A and the current flowing in the 3Ω and 4Ω is 0.286 A.
What is the current flowing in each resistor?The value of the current in each resistor is calculated by applying Kirchoff voltage law as follows;
The total voltage in loop 1 is calculated as;
2 + 4 - I₁R₁ - (I₁ - I₂)R₂ - I₁R₃ = 0
6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0
The current flowing in loop 2 is calculated as;
I = V/R
I₂ = ( 6 V - 4 V ) / (3 + 4)
I₂ = 0.286 A
The value of the current flowing in loop 1 is calculated as;
6 - 2I₁ - 3(I₁ - I₂) - 1₁ = 0
6 - 2I₁ - 3(I₁ - 0.286) - 1₁ = 0
6 - 3I₁ - 3₁ + 0.858 = 0
-6I₁ = -6.858
I₁ = 6.858 / 6
I₁ = 1.14 A
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You're caught running a red light on Hwy 316. Attempting to impress the skeptical patrol officer with your physics knowledge, you claim that you were traveling so fast that the red light (685 nm) appeared yellow (590 nm) to you. How fast would you have been traveling (in mi/hr) if that had been the case?
Answer:
Explanation:
We shall apply here Doppler's effect in optics . The formula is as follows
\(\frac{\triangle\lambda }{\lambda } = \frac{v}{c}\)
Δλ is change in wavelength , λ is original wavelength , v is velocity and c is velocity of light
Δλ = 685 - 590 = 95 nm
λ = 685
95 / 685 = v / 3 x 10⁸
v = .416 x 10⁸ m / s
= 4.16 x 10⁷ m /s
Cathode ray tubes (CRTs) used in old-style televisions have been replaced by modern LCD and LED screens. Part of the CRT included a set of accelerating plates separated by a distance of about 1.30 cm. If the potential difference across the plates was 24.5 kV, find the magnitude of the electric field (in V/m) in the region between the plates.
Modern LCD and LED screens have taken the role of the Cathode Ray Tubes (CRTs) that were once used in televisions. The magnitude of the electric field (in V/m) in the region between the plates is 1.88 x 10^6 V/m.
The CRT is made up of an electron gun that produces a beam of electrons that are then directed by an electric field towards a fluorescent screen at the end of the tube. The electric field between the plates of a CRT (Cathode Ray Tube) has to be found. The plates are 1.30 cm apart and there is a potential difference of 24.5 kV between the plates. Here’s how to find the electric field: The formula to calculate the electric field between the plates is: `E = V/d`, where E is the electric field.
Substitute the given values in the formula: E = V/d = 24.5 kV/0.013 m= 1.88 x 10^6 V/m. Therefore, the magnitude of the electric field (in V/m) in the region between the plates is 1.88 x 10^6 V/m.
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Look at the graph. How many minutes is the sample COMPLETELY a liquid?
Answer:
2 minutes
Explanation:
From the graph, it takes 2 minutes for the piece of ice to go to the completely liquid phase.
The final velocity of a truck is 74.0ft/s. If it accelerates at a range of 3.00ft/s^2 from an initial velocity of 5.00ft/s, how long will it take for it to attain its final velocity?
The final velocity of a truck is 74.0 ft/s, if it accelerates at a range of 3.00 ft/\(s^2\) from an initial velocity of 5.00 ft/s, then it will take the truck 23.67 seconds to attain its final velocity of 74.0 ft/s.
What is the calculation for the final velocity?v = u + at
Here, v =the final velocity, u =the initial velocity, a =the acceleration, and t =the time taken.
Substituting the given values, one can get,
74.0 ft/s = 5.00 ft/s + 3.00 ft/\(s^2\) × t
Solving for t, one gets,
t = (74.0 ft/s - 5.00 ft/s) / (3.00 ft/\(s^2\)) = 23.67 s (that is 23.67 seconds is needed to attain final velocity of 74.0 ft/s)
Hence, a truck needs 23.67 seconds time to attain its final velocity of 74.0 ft/s and this is the final velocity.
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Can someone please explain how to find the acceleration of the hanging mass?
Answer:
Acceleration = m/s²
Explanation:
T= Newtons compared to the weight W = Newtons for the hanging mass. If the weight of the hanging mass is less than the frictional resistance force acting on the mass on the table, then the acceleration will be zero.
The crests of a transverse wave are like the...
A. crests of a primary wave
B. troughs of a longitudinal wave
C. rarefactions of a secondary wave
D. compressions of a longitudinal wave
The rests of a transverse wave are like the compression of the longitudinal waves.
What is transverse wave?In terms of physics, a transverse wave refers to the wave where oscillations should be perpendicular to the direction of the wave's in advance. This is in contrast to a longitudinal wave that travels in the direction of its oscillations.
Therefore, we can conclude that The rests of a transverse wave are like the compression of the longitudinal waves.
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A 9.0-kg box of oranges slides from rest down a frictionless incline from a height of 5.0 m. A constant frictional force, caused by friction with the surface from point A to point B, brings the block to rest at point B, 19 m from point A. What is the coefficient of kinetic friction between A and B?
The gravitational potential energy at the point the box begins must be equal to the kinetic energy at position A and this energy must have been "used up" by friction by the time the box gets to B. So letâs compare the energy at the starting position to that at B (which is zero). There is no reason to include point A.
When a 9.0-kg box of oranges slides from rest down a frictionless incline from a height of 5.0 m with a frictional force then the coefficient of kinetic friction between A and B is 9.9m/s.
What is kinetic friction?The frictional force acting between two moving objects is termed as Kinetic friction.
Solution:
Given:
Let v represent the speed of the box at point A, x represent the distance the box slides down the slope (without friction), and represent the angle of the incline.
Remember that v = ultimate speed, therefore v 2 - v02 = 2 an x
beginning speed being
A=acceleration and X=displacement
While moving up the slope, the box begins at rest (v0 = 0) and moves a distance x with an acceleration of a to reach a speed v.
F = m g sin() = m a, where m = 9.0 kg and g = 9.8 m/s2, and a = g sin().
Using a little trigonometry, write the distance x in terms of :
x = (5.0 m) / sin(x), where sin(x) = (5.0 m)
To find:v, enter the following into the formula above:
= 2 g sin(5.0 m) / sin(5.0 m)
10.0 m) g v
= 9.9 m/s
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How is a responding variable different from a manipulated variable?
A. When a responding variable changes, it causes the manipulated
variable to change.
B. A responding variable changes as a result of changes made to the
manipulated variable.
C. When a responding variable stays the same, the manipulated
variable changes.
O D. A responding variable changes, but a manipulated variable stays
the same.
Answer:
B. A responding variable changes as a result of changes made to the
manipulated variable.
Explanation:
A responding variable is different from a manipulated variable because a responding variable keeps on changing, but a manipulated variable stays the same. Thus, the correct option is D.
What are responding variable and manipulated variable?A variable is any characteristic, number, or quantity which can be measured or counted easily. A variable may also be called as an item. Age, sex, business income and expenses, country of birth, capital expenditure, class grades, eye color and vehicle type all are the example of variables.
Manipulated Variable are those variables which is changed by the scientist and are called as the controlled variable. Responding Variable is the variable that might change on its own because of what the scientist changes in the experimental study.
Therefore, the correct option is D.
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State the newton's law of motion and give
application of each law.
Answer:
In the first law, an object will not change its motion unless a force acts on it. In the second law, the force on an object is equal to its mass times its acceleration. In the third law, when two objects interact, they apply forces to each other of equal magnitude and opposite direction.
Explanation:
A roller coaster is at a peak of 20m and has a mass of 900kg. What is the potential energy of the roller coaster?
O 100000 J
10000 J
O 9.8 J
O 176400 J
The potential energy of the roller coaster is 176,400 J (joules).
The potential energy of an object is given by the formula PE = mgh, where PE is the potential energy, m is the mass of the object, g is the acceleration due to gravity, and h is the height or vertical position of the object.
In this case, the roller coaster is at a peak of 20m and has a mass of 900kg. The acceleration due to gravity, g, is approximately 9.8 \(m/s^2\).
Using the formula, we can calculate the potential energy:
PE = mgh
= (900 kg)(9.8 \(m/s^2\))(20 m)
= 176,400 J
Therefore, the potential energy of the roller coaster is 176,400 J (joules).
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In an RC circuit, how many time constants must elapse if an initially uncharged capacitor is to reach 80% of its final potential difference
Answer:
1.6 time constants must elapse
Explanation:
voltage on a cap, charging is given as
v = v₀[1–e^(–t/τ)]
Where R is resistance in ohms,
C is capacitance in farads
t is time in seconds
RC = τ = time constant
v = v₀[1–e^(–t/τ)]
1–e^(–t/τ) = 0.8
e^(–t/τ) = 0.2
–t/τ = –1.609
t = 1.609τ
You see a car that appears very small, so you assume that it must be far from you. You are using the monocular cue of
The monocular cue of relative size
6. If an object falls for 11.3 seconds, what is the distance it will fall
assuming air resistance is negligible?
The object will fall through a distance of 638.45 m.
Considering the question given above, the following data were obtained:
Time (t) = 11.3 s
Height (h) =?NOTE: Acceleration due to gravity (g) = 10 m/s²
We can obtain the height as illustrated below:
H = ½gt²
H = ½ × 10 × 11.3²
H = 5 × 127.69
H = 638.45 mTherefore, the distance the object will fall is 638.45 m
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Calculate the absolute pressure at an ocean depth of 1.0 x 10³ m. Assume that the density of the water is 1.025 x 10³ kg/m³ and that Po = 1.01 x 10^5 Pa.
The absolute pressure at an ocean depth of 1.0 x 10^3 m is 1.002 x 10^8 Pa.
What is hydrostatic pressure?Hydrostatic pressure is the pressure that a fluid exerts on a surface due to the weight of the fluid above it. It is the result of the force of gravity acting on a column of fluid, and it is directly proportional to the height of the column of fluid and the density of the fluid.
The absolute pressure at an ocean depth of 1.0 x 10^3 m can be calculated using the hydrostatic pressure equation:
P = ρgh + Po
where:
P is the absolute pressure at the given depth
ρ is the density of the water
g is the acceleration due to gravity (assumed to be 9.81 m/s²)
h is the depth of the ocean
Po is the atmospheric pressure at the surface (assumed to be 1.01 x 10^5 Pa)
Substituting the given values, we get:
P = (1.025 x 10^3 kg/m³) x (9.81 m/s²) x (1.0 x 10^3 m) + 1.01 x 10^5 Pa
P = 1.025 x 9.81 x 10^6 Pa + 1.01 x 10^5 Pa
P = 1.002 x 10^8 Pa.
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Cynthia pushes a ball with a horizontal speed of 6.50 m/s off a bench with a height of
0.75 m. A) How long will it take the ball to reach the floor? B) How far from a point on
the floor directly below the edge of the bench will it land?
Please helpppppppppppppppppppp
Answer:
Explanation:
what do you really need help with
I'm not sure about how can solve this problem. Please help me!!
The magnitude of the power dissipated in resistor R4 is approximately 10,028 watts.
How to find magnitude?To find the power dissipated in resistor R4, use the formula:
P = I² × R
where P = power, I = current flowing through the resistor, and R = resistance of the resistor.
The total resistance, Rt, can be calculated using the formula:
1/Rt = 1/R1 + 1/R2 + 1/R3
Substituting the given values:
1/Rt = 1/3 + 1/0.8 + 1/2
Simplifying the equation:
1/Rt ≈ 1.6667
Rt ≈ 0.6 Ω
Next, calculate the total voltage, Vt, by summing the individual voltage sources:
Vt = ε1 + ε2 + ε3
Substituting the given values:
Vt = 9 + 6 + 4
Vt = 19 V
Now calculate the current flowing through resistor R4 using Ohm's Law:
I = Vt / Rt
Substituting the calculated values:
I = 19 / 0.6
I ≈ 31.6667 A
Finally, calculate the power dissipated in resistor R4:
P = I² × R4
Substituting the calculated values:
P = (31.6667)² × 10
P ≈ 10,028 W
Therefore, the magnitude of the power dissipated in resistor R4 is approximately 10,028 watts.
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.Given the displacement vectors A = 6f-4j+8k B = 2î+4ƒ^ − 14k
Find the magnitude and the unit vector of the vector 0.5A + 0.5B
Answer:
Explanation:
A = 6i - 4j + 8k
B = 2i + 4j - 14k
A + B = (6+2)i + (-4+4)j + (8-14)k
A + B = 8i +0j -6k
A + B = 8i - 6k
(1/2)(A + B) = 4i - 3k
d = √ (4² + 3²) = 5
e = (4/5)i -(3/4)j
Suppose the woman in the figure is 54kg , and the board she is standing on has a 10kg mass. What is the reading on each of the scales?
The reading on each of the scales on the right is 421.4 N.
The reading on each of the scales on the left is 156.8 N.
What is the reading on each scale?The reading on each scale is determined from the distribution of the weight of the woman.
The weight of the board is distributed uniformly and each scale with have equal reading of the weight of the board.
weight of the board = 10 kg x 9.8 m/s² = 98 N
Reading of each due to weight of the board is calculated as;
W₁ = ¹/₂ (98 N) = 24.5 N
The distribution of the weight of the woman on the right scale is calculated as;
W (R) = ( 1.5 m / 2 m) x ( 54 x 9.8 )
W (R) = 396.9 N
The distribution of the weight of the woman on the left scale is calculated as;
W (L) = ( 0.5 m / 2 m) x ( 54 x 9.8 )
W (L) = 132.3 N
Total reading on the scale on the right = 396.9 N + 24.5 N = 421.4 N
Total reading on the scale on the left = 132.3 N + 24.5 N = 156.8 N
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