If the 50-kg crate starts from rest and achieves a velocity of v = 4 m/s
when it travels a distance of 5 m to the right, determine the magnitude of
force P acting on the crate. The coefficient of kinetic friction between the
crate and the ground is μk = 0. 3
Answers
If the 50-kg crate starts from rest and achieves a velocity of v = 4 m/s when it travels a distance of 5 m to the right. The magnitude of force P acting on the crate is 80 N, and the total force acting on the crate is 227 N.
To determine the magnitude of force P acting on the crate, we need to use the equations of motion and the concept of friction. The force acting on the crate can be expressed as the sum of the force due to P and the force due to friction.
First, we can calculate the force due to friction, which is given by the formula Ff = μk x Fn, where Fn is the normal force acting on the crate. Fn can be calculated by multiplying the mass of the crate by the acceleration due to gravity (9.8 m/s²):
Fn = m x g
Fn = 50 kg x 9.8 m/s²
Fn = 490 N.
Therefore, Ff = 0.3 x 490 N = 147 N.
Next, we can use the equations of motion to calculate the force due to P. We can use the formula\(v^2 = u^2 + 2as\), where u = 0 m/s (since the crate starts from rest), v = 4 m/s, and s = 5 m.
Solving for a, we get \(a = 4^2 / (2 \times 5) = 1.6\; m/s^2.\) The force due to P can be calculated using the formula F = ma, where m is the mass of the crate:\(F = 50 \;kg \times 1.6\; m/s^2 = 80 N.\)
Finally, we can add the force due to friction and the force due to P to get the total force: Ftotal = Ff + F = 147 N + 80 N = 227 N.
Therefore, the magnitude of force P acting on the crate is 80 N, and the total force acting on the crate is 227 N.
In summary, to determine the magnitude of force P acting on a crate, we can use the equations of motion and the concept of friction. By calculating the force due to friction and the force due to P, we can add them to get the total force acting on the crate.
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Related Questions
a 1.0kg box on a frictionless surface is attached to a 1.5 kg box as shown. what is the acceleration of the 1.0 kg box?
Answers
The acceleration of the 1.0 kg box would be 4.9 m/s²
The rate at which velocity changes with reference to both speed and direction over a period of time is referred to as acceleration. If a point or an object that is moving in a straight line speeds up or slows down, then the point or object is accelerating.
To find the acceleration, we can use this following formula:
a = ((m₂ – m₁) × g)) ÷ m1
Where:
a = acceleration
m₁ = the mass of the object 1
m₂ = the mass of the object 2
g = acceleration due to gravitation (9.8 m/s²)
Thus, the acceleration of a 1.0 kg box would be:
A = ((1.5 kg – 1 kg) × 9.8 m/s²) ÷ 1 kg
A = 4.9 m/s²
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Complete the sentence.
Atoms form chemical bonds to satisfy the
rule and to become
.
Answers
Answer:
octet rule,stable
Explanation:
Answer:
Complete the sentence.
Atoms form chemical bonds to satisfy the
octet
rule and to become
stable
.
Explanation:
If a space rover has a mass of 3900 kg on Earth, then what is
its mass when it lands on Mars?
kg
Do not include units in your answer.
Answers
If a space rover has a mass of 3900 kg on Earth, then its mass when it lands on Mars will be the same i.e. 3900 kg.
What is mass?Mass is the amount of matter present in the object.
The mass of the object is always constant, anywhere it is on the Earth or Moon or any other planet.
Thus, If a space rover has a mass of 3900 kg on Earth, the mass on Mars when it lands will be 3900kg.
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why is the answer A and not C?
please help!
Answers
Answer:
because it gives a complete thought
1.) Describe the shape, movement of particles, and the volume of a solid.
2.) Describe the shape. movement of particles, and the volume of a liquid.
30 points please help me ??? ASAP
Answers
Answer:
Solids have a definite shape and volume, its particles vibrate slowly.
Liquids have no definite shape, the particles move randomly around its container, and they have a fixed volume.
Think about how you obtain the energy you need to do everyday activities like doing chores, going to school, or playing sports. Write about it in the box below. Ms Earth Science
Answers
Carbohydrates are broken down into glucose, which is then used by cells to produce energy through a process called cellular respiration.
What is Cellular Respiration?
It is a complex biochemical process that occurs in the mitochondria of cells and involves multiple steps and intermediate molecules. The energy released during cellular respiration is used to power the activities of the cell, including muscle contractions, cell division, and protein synthesis. Cellular respiration can be aerobic or anaerobic, depending on the availability of oxygen, and involves the use of enzymes and electron transport chains to generate ATP, the energy currency of the cell.
Fats are broken down into fatty acids and glycerol, which can also be used for energy production. Proteins can also be broken down into amino acids, which can be used for energy production in certain circumstances. The energy produced by these processes is stored in the form of ATP molecules, which can be used by cells to perform various functions and activities.
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What is the phase of the moon during a total solar eclipse?
Answers
Answer:
The moon should be in the New phase.
Explanation:
The work done on an object is equal to the force times the distance moved in the direction of the force. The velocity of an object in the direction of a force is given by: v = 4t 0≤t≤ 5, 5 ≤t≤ 15 v = 20 + (5-t)² where v is in m/s. With step size h=0. 25, determine the work done if a constant force of 200 N is applied for all t a) using Simpson's 1/3 rule (composite formula) b) using the MATLAB function trapz
Answers
A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.
B) Using the MATLAB function trapz, the work done is approximately 7750 J.
Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.
A) Force (F) = 200 N (constant for all t)
Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)
Step size (h) = 0.25
To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.
Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.
Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].
For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²
Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).
Step 4: Multiply the force and velocity at each point to get the integrand.
For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]
Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].
The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]
Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).
Step 6: Multiply the result by the step size h to get the work done.
Work done: 1250 J
B) % Define the time intervals and step size
t = 0:0.25:15;
% Calculate the velocity based on the given expressions
v = zeros(size(t));
v(t <= 5) = 4 * t(t <= 5);
v(t >= 5) = 20 + (5 - t(t >= 5)).^2;
% Define the force value
F = 200;
% Calculate the work done using MATLAB's trapz function
\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;
% Display the result
disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);
The final answer for the work done using MATLAB's trapz function with the given force and velocity is:
Work done using MATLAB's trapz function: 7750 J
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A shorter moment arm (a muscle's tendon inserts closer to joint center) results in a ______________ torque force and ____________________ movement speed compared to that of a longer moment arm.
Answers
A shorter moment arm (a muscle's tendon inserts closer to joint center) results in a decreased torque force and increased movement speed compared to that of a longer moment arm.
The moment arm refers to the perpendicular distance between the line of action of a force and the axis of rotation. In the context of muscles, the moment arm is the distance between the joint center and the point where the muscle's tendon inserts. When the moment arm is shorter, the lever arm is reduced, resulting in a smaller torque force. Torque is the rotational force generated by the muscle to produce movement around a joint. With a shorter moment arm, the muscle has a smaller lever arm to exert force, leading to a decrease in torque force.
On the other hand, a shorter moment arm allows the muscle to exert force closer to the axis of rotation, resulting in a faster movement speed. This is because the distance traveled by the muscle during contraction is reduced, leading to a quicker motion.In summary, a shorter moment arm leads to a decreased torque force and increased movement speed compared to that of a longer moment arm.
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5. The boiling point of mercury is lower than
that of alcohol.
Answers
Answer:
I thinl it is I'm not sure though
Answer:
Imma say false
Explanation:
Just my opinion
help me its physical science and i don't know what to do tyyy
Answers
The thing to do here is to balance the eqns that is to balance the stoichometric ratios or coefficients of the cpds.
hope you understand. all the best.
True or false
John Watson worked with patients on analyzing their dreams
Answers
Answer:
true
Explanation:
Answer:its true i think im sorry if you get wrong
Explanation:
I already did part a and the magnitude for all the parts. I need help finding the direction.
Answers
b)
Given that,
A=10 N at 0°
B=20 N at 180°
As we can see these two vectors are in opposite directions.
Thus the resultant vector will be in the direction of the vector with the higher magnitude.
In vector addition we can write,
\(C=10\cos 0^0+20\cos 180^0\)Where C is the resultant vector.
Thus magnitude of R will be equal to,
\(R=-10\text{ N}\)The negative sign indicates that the direction of the C is along the negative x-axis.
Thus the magnitude of C is 10 N and the direction of the C is 180°
a)
Given,
A= 10 N at 0°
B=20 N at 0°
The the vector C is
\(C=10\cos 0^0+20\cos 0^0=30\text{ N}\)The direction of R will be along the direction of these two vectors, as they are in the same direction.
Thus the magnitude of the vector C will be 30 N and the direction of the vector C is 0°
c)
Given,
A=10 N at 180°
B=20 N at 180°
Thus the vector C is
\(C=10\cos 180^0+20\cos 180^0=-30\text{ N}\)The direction of the vector C will be along the direction of the negative x-axis, as these two vectors are along the negative x-axis.
Thus the magnitude of the vector C is 30 N and the direction of the vector C is 180°
d)
Given,
A= 10 N at 0°
B=20 N at 90°
The x-component of the vector C will be,
\(C_x=10\cos 0^0+20\cos 90^0=10\text{ }\hat{\text{i}}\)The y- component of C will be,
\(C_y=10\sin 0^0+20\sin 90^0=20\text{ }\hat{j}\)The magnitude of vector C is given by,
\(\begin{gathered} C=\sqrt[]{C^2_x+C^2_y}_{} \\ =\sqrt[]{10^2+20^2} \\ =22.36\text{ N} \end{gathered}\)The direction of the vector C will be,
\(\begin{gathered} \theta=\tan ^{-1}\frac{C_y}{C_x} \\ =\tan ^{-1}\frac{20}{10} \\ =63.43^0 \end{gathered}\)Thus the magnitude of C will be 22.36 N and the direction of C will be 63.43°
e)
Given that
A= 10 N at 90°
B=20 N at 0°
The x-component of the vector C will be
\(C_x=10\cos 90^0+20\cos 0^0=20\text{ }\hat{\text{i}}\)The y-component of the vector C will be
\(C_y=10\sin 90^0+20\sin 0^0=10\text{ }\hat{j}\)The magnitude of the vector C will be
\(\begin{gathered} C=\sqrt[]{C^2_x+C^2_y}_{} \\ =\sqrt[]{20^2+10^2} \\ =22.36\text{ N} \end{gathered}\)The direction of vector C will be,
\(\begin{gathered} \theta=\tan ^{-1}\frac{C_y}{C_x} \\ =\tan ^{-1}\frac{10}{20} \\ =26.56^0 \end{gathered}\)Thus the magnitude of the vector C will be 22.36 N and the direction of the vector C will be 26.56°
an object with an initial speed of 4.0 meters per second accelerates uniformly at 2.0 meters per second² in the direction of its motion for a time of 5.0 seconds. what is the final speed of the object?
Answers
Answer:
6m/s
Explanation:
Key
Vi = 4.0 m/s
A = 2.0 m/s/s
D = 5.0 m
Vf = X or ??
Vf =Vi+2ad
Vf =(4m/s)+ 2(2m/s)(5m)
Vf =16(m/s)+ 20(m/s)
Vf =36(m/s)
Vf =6m/s
the dose equivalent limits for radiation workers is based on the radiation received from what sources
Answers
The dose equivalent limits for radiation workers are based on the radiation received from the two external and internal sources of radiation.
The dose equivalent limits for radiation workers are established by different national and international regulatory agencies, such as the International Commission on Radiological Protection and the U.S. Nuclear Regulatory Commission.
The limits are outlined to minimize the risk of radiation-induced health effects, such as cancer, while allowing for necessary exposure in various situations, such as in medical treatments or in nuclear power plants.
External sources of radiation contain radiation that comes from outside the body, such as from gamma rays or x-rays.
Internal sources of radiation, on the other hand, come from radioactive materials that are taken into the body through ingestion or inhalation.
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Which mineral has a blue color and will scratch the garnet?
Topaz
Pyrite
Magnetite
Garnet
Augite
Talc
Answers
Answer:
Topaz
Explanation:
It's harder than garnet and comes in various colors
Answer:
garnet
Explanation:
How many meters are in a gigameter?
Answers
Answer:
1 gigameter = 1e+9 meter
A block on a horizontal surface of negligible friction is placed in contact with an ideal spring, as shown above. The block is moved to the left so that the spring is compressed a distance x from equilibrium and then released from rest. The block has kinetic energy k1 when it separates from the spring. When the spring is compressed a distance 2x and the block is released from rest, the kinetic energy of the block when it separates from the spring is:
Answers
Answer: 4K1
Explanation:
proof the equation of motion third
Answers
The proof of third equation of motion is determined as v² = 2as + u².
What is the proof of third equation of motion?
The proof of third equation of motion is determined as follows;
The first equation is given as;
v = u + at
t = ( v - u ) /a
where;
u is the initial velocitya is the accelerationt is the time of motionThe formula for the average distance traveled by an object is;
s = (v + u)/2 x t
Expand the equation above as;
s = (v + u)/2 x (v - u)/a
s = (v² - u²) / 2a
2as = v² - u²
v² = 2as + u², proved
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A friend of yours who has not taken an astronomy class looks at your textbook and really likes the picture of the Pleiades, a cluster of stars surrounded by a bluish reflection nebula. She wants to know what causes that beautiful blue glow. To explain it to her, you want to compare the process that causes the blue glow to something that is in your friend's everyday experience. Which of the following terrestrial phenomena is the result of the same type of process that makes a reflection nebula in space?
A. the blueish glow of the flame on a gas stove
B. the blue light you see reflected from a blue sweater
C. the blue colour of the Earth's sky
D. the blue-white colour of the hottest stars
E. the blue feeling you get when you don't do well on an astronomy exam
Answers
Answer:
C. the blue colour of the Earth's sky
Explanation:
The Pleiades is a cluster of sister stars that are among the closest star cluster to earth.
The reflection nebula of the Pleiades is due to the scattering of the blue light from the hot blue luminous stars that dominate the star cluster. Th blue light is scattered from dust molecules, thought to be predominantly carbon compound like diamond dusts, and other compounds like iron.
The blue colour of the Earth's sky is the closest terrestrial phenomenon to the reflection nebula. On a clear cloudless day, molecules in the air scatter the blue component of light more than the other component colours of white light, giving the sky its characteristic blue coluor.
The common characteristics of the luminous nebula and the Earth's blue sky is that they both have their light scattered by the presence of small particles.
Explain why L0 is not measured to point X on the spring?
Answers
The coefficient of static friction between a 17 Kg table and the floor is 0.50. What is the maximum force that can be applied to the table before it starts to slide?
Answers
Answer:
Below
Explanation:
Normal force = mg = 17(9.81)
force of friction = normal force * coefficient of static friction
= (17* 9.81 * .5) = 83.4 N
What determines the velocity of an object?
O A. Its acceleration at a given point in time
O B. Its weight in a given location
C. Its displacement in a given period of time
O D. Its mass at its final position
Answers
Answer:
C
Explanation:
Option C - Its displacement in a given period of time is the correct alternative.
We have the velocity of an object.
We have to find out what other quantity is needed to determine the velocity.
What is velocity ?Velocity is defines as the rate of change of displacement with time. Mathematically -
v = Δx/Δt
According to the question -
As discussed above, velocity is the ratio of displacement and time taken to cover that displacement. Velocity is the measure of how fast a specific object is moving. Lesser the time taken to cover the distance, faster is the object as -
F \(\alpha\) 1 / t
Acceleration, weight and mass of the object has nothing to correlate with the velocity of object at any specific location since mass and weight will remain constant throughout. Therefore it is displacement in given period of time that is required.
Hence, Option C is the correct alternative.
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An electric motor takes 8.16 A from a 110 V line. How much energy is consumed in 0.29 hour? Express your answer in kW h.
Answers
First, let's calculate the power used by the motor with the formula below:
\(\begin{gathered} P=I\cdot V\\ \\ P=8.16\cdot110\\ \\ P=897.6\text{ W}=0.8976\text{ kW} \end{gathered}\)Now, let's multiply the power by the time to find the energy consumed:
\(\begin{gathered} E=P\cdot t\\ \\ E=0.8976\cdot0.29\\ \\ E=0.26\text{ kWh} \end{gathered}\)PLOT A GRAPH OF L AGAINST T² AND DETERMINE THE SLOPE
Answers
The measured value of g is determined by the slope of the time period T² vs. l graph (acceleration due to gravity).
Time period the amount of time that a behavior lasts or a condition persists. Depending on the type of activity or situation under consideration, it may be measured in seconds or in millions of years.
the duration T as determined by the formula T = 2π √(l/g). The pendulum's length, l, is indicated here.
The result of squaring both sides is T² = 4π² l/g
42 and g are constants, thus
⇒ T² = ml
The slope of the T² vs l graph in this case is m. The slope's value is m = 4π²/g
We can determine the value of g from the slope of the graph by substituting π = 10 in the equation above.
g = 40/m
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If each rod is made of a material for which the average normal stress can not exceed 150 mpa, determine the minimum required diameter of each rod to the nearest mm
Answers
To determine the minimum required diameter of each rod, we need to consider the average normal stress limit of 150 MPa. The formula to calculate the average normal stress is σ = F/A, where σ is the stress, F is the force applied, and A is the cross-sectional area of the rod.
Assuming the force applied is the maximum force that the rod will experience, we can rearrange the formula to solve for the cross-sectional area: A = F/σ. Since we're looking for the minimum required diameter, we'll use the formula for the cross-sectional area of a circle: A = πd²/4, where d is the diameter.
Combining the two formulas, we have πd²/4 = F/σ.
Simplifying further, d² = (4F)/(πσ).
To determine the minimum diameter, we'll use the maximum force applied and the given stress limit: d² = (4 * max force)/(π * 150 MPa).
We don't have the value of the maximum force, so we can't determine the exact minimum diameter. However, you can calculate it by plugging in the appropriate values into the formula above. Remember to round the result to the nearest millimeter. To determine the minimum required diameter of each rod, you need to know the maximum force applied and the stress limit. Use the formula d² = (4 * max force)/(π * 150 MPa) and round the result to the nearest millimeter.
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in the bohr model of the hydrogen atom, an electron orbits a proton in a circular orbit of radius 0.53 x 10e-10 m. what is the electric potential at the electron's orbit due to the proton?
Answers
The electric potential is 27.2V
The electric potential (also called the electric field potential, potential drop, the electrostatic potential) is defined as the amount of work energy needed to move a unit of electric charge from a reference point to the specific point in an electric field.When an object is moved against the electric field, it gains some amount of energy which is defined as the electric potential energy. The electric potential of the charge is obtained by dividing the potential energy by the quantity of charge. When work is done in moving a charge of 1 coulomb from infinity to a particular point due to an electric field against the electrostatic force, then it is said to be 1 volt of the electrostatic potential at a point.Electric potential is given by equation: V = kq/r
where,
k = Coulomb's constant = 9 ×10⁹ N m²/C²
r = Radius = 0.53×10⁻¹⁰ m
Putting these values in above equation we get:
V = (9 ×10⁹)(1.6 × 10⁻¹⁹)/( 0.53×10⁻¹⁰) = 27.2 V
So the electric potential is 27.2V
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is the term used to describe the removal of sand and soil by the wind.
Answers
Answer:
erosion
Explanation:
An impulse of 20,000 N*s is applied to a car, bringing it to a stop in 0.17 seconds. What force was applied to the car?
Answers
F =
t = 0.17 s
Impulse (J) = 20,000 N
J = F x t
F = J / t = 20,000 Ns / 0.17 s = 117,647.0588 N
.How does the pattern of light that results when it passes through the slits in the double-slit experiment support the wave model of light?
A. .
It is the result of refraction.

B.
It is the result of diffraction.

C.
It is the result of the photoelectric effect.

D.
It is the result of blackbody radiation.
Answers
Answer:
B
Explanation:
The pattern that the double slit experiment produces is a diffraction pattern (made as a result of single and double slit interference).
Answer:
B. It is the result of diffraction.
Explanation: a p e x