The torque on the particle about the origin is -39i^ Nm.
What is torque?To find the torque on the particle about the origin, we need to first calculate the position vector from the origin to the particle and then calculate the cross product of this vector with the force vector.
The position vector from the origin to the particle is:
r⃗ = 3i^ + 5j^
The force vector is given as:
F⃗ = -13j^
To calculate the torque on the particle about the origin, we need to take the cross product of the position vector and the force vector:
τ⃗ = r⃗ × F⃗
Using the cross product formula, we get:
τ⃗ = (3i^ + 5j^) × (-13j^)
Expanding the cross product using the determinant method, we get:
τ⃗ = [(3)(-13)] i^ × j^ + [(5)(-13)] j^ × j^
Since the cross product of a vector with itself is zero, the second term in the above expression becomes zero, leaving us with:
τ⃗ = -39i^
Therefore, the torque on the particle about the origin is -39i^ Nm.
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A boat uses its motor to increase its speed from 5 m/s to 7 m/s. If the boat has a mass of
250 kg, what was the impulse applied by the motor?
Answer:
J = 500 kg-m/s
Explanation:
Given that,
Initial speed of the motor, u = 5 m/s
Final speed of the motor, v = 7 m/s
Mass of the boat, m = 250 kg
We need to find the impulse applied by the motor. We know that impulse is equal to the change in momentum. It is represented by letter J.
J = m(v-u)
J = 250 (7-5)
J = 500 kg-m/s
Hence, the impulse applied by the motor is 500 kg-m/s.
If two insulated wires were to melt together where the copper conductors touched each other, the type of failure would be called a(n) ________.
A short to voltage failure would occur if the copper conductors of two insulated wires came into contact and melted together.
Describe voltage:The difference in electric potential between two points, also known as voltage, electric potential difference, electric pressure, or electric tension, is measured as the amount of work required to move a test charge per unit of energy between the two sites.
What is voltage formula?The formula reads voltage = current x resistance, or V = A x, or volts = amps x ohms.
What different voltages are there?Electrical services are categorized:
Low Voltage: 1000 volts or less.Medium Voltage is defined as much over 1000 volts and under 100 kV.High Voltage is defined as voltages of at least 100 kV but not more than 230 kV.Ultra-High Voltage is defined as 1000 kV or more.To know more about Voltage visit:
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A crane lifts a load of 30 000 kg to the top of a building that is 40 m high.
a. Calculate the weight of the load (g = 10 N/kg).
b. Calculate the work done by the crane.
Answer:
B
Explanation:
4.3 m/s. C. 5.8 m/s. D. 7.7 m/s. 14. A crane lifts a 300 kg load at a constant speed to the top of a building 60 m high in 15 s. The average power.
9 pages
Additional Activities
Suppose that you are going to put up a new business venture, how will you plan to do your operations? What Method will you use? Who will you hire for a specific task? Will you use Machineries? How about the materials? Fill the boxes below on how will you apply what you have learned regarding the 4Ms of production/operation. Explain your answers.
The success of a business venture depends on the effective management of the 4Ms of production/operation, which involves strategic planning, resource allocation.
The 4Ms of production/operation are Manpower, Materials, Machines, and Methods. To plan for the operations of a new business venture, the first step is to define the goals of the business and identify the target customers. The next step is to determine the resources required to operate the business efficiently.
For the Manpower component, it is essential to hire skilled and experienced individuals who can contribute to the success of the business. For instance, you may need to hire marketing experts, finance professionals, IT professionals, and operational staff.
For the Materials component, it is essential to identify the type and quality of materials required for the products or services to be offered. It is also necessary to ensure that the materials are obtained from reliable suppliers.
For the Machines component, it is essential to identify the appropriate machinery, equipment, and tools required to carry out the operations of the business. It is also necessary to ensure that the machines are well-maintained to avoid breakdowns that could delay operations.
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a man accidentally kicks a pebble off a cliff that is 18 m high with a horizontal velocity of 2.3 m/s. How long does it take to hit the ground below?
A pebble off a cliff to hit the ground below t = 0.128 sec.
Equation :Given,
distance = 18m
velocity = 2.3m /s
time = ?
To find the time in given data,
Use formula,
velocity = distance / time
Putting the value in formula,
We get,
2.3 m/s = 18 m / t
t = 2.3 m/s / 18 m
t = 0.128 sec
Velocity :The vector quantity velocity (v), denoted by the equation v = s/t, measures displacement (or change in position, s), over change in time (t). Speed (or rate, r) is a scalar quantity, denoted by the equation r = d/t, that measures the distance traveled (d) over the change in time (t).
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What is the kinetic energy of a 3-kilogram bali that is rolling at 2 meters per second
Answer:
6J
Explanation:
simply apply kinetic energy definitoon:
\(k = \frac{1}{2} mv {}^{2} = \frac{1}{2} 3 \times 2 {}^{2} = 6\)
If it is known that a motor battery has an input voltage of 12V and a capacity of 6 Ah, how much power and resistor value is required to turn on 8 lamps with a parallel circuit, with the specifications of each lamp having a maximum voltage of 3V and an electric current of 140 mA? How long did all the lights go on until they off?
Answer:
Part A
The power to turn on the lamp, ∑P = 3.36 W
Part B
The Resistor required is approximately 8.04 Ohms
Part C
The time for all the lights to go out is approximately 21.43 hours
Explanation:
The input voltage of the motor battery , V = 12 V
The capacity of the battery, Q = 6 Ah
The number of lamps in parallel = 8 lamps
The maximum voltage of each lamp, = 3 V
The electric current in each lamp = 140 mA
The energy available in a battery, E = Q × V
For the battery, we have;
E = 6 Ah × 12 V = 72 Wh
The energy available in a battery, E = 72 Wh
Part A
The power used by the lamps, \(P_i\) = \(I_i\) × \(V_i\)
∴ The total power used by the lamp, ∑P = 8 × 0.14 A × 3 V = 3.36 W
The power to turn on the lamp, ∑P = 3.36 W
Part B
The resistance required, is given as follows;
Resistor required = (Battery voltage - Lamp voltage)/(The sum of bulb current)
∴ Resistor required = (12 V - 3 V)/(8 × 0.14 A)
The Resistor required = 8.03571429 Ohms
The Resistor required ≈ 8.04 Ohms
Part C
The time for all the lights to go out = The time for the lamps to use all the power available in the battery
The time for all the lights to go out, t = E/∑P
∴ t = 72 Wh/(3.36 W) = 21.4285714 h
∴ The time for all the lights to go out, t ≈ 21.43 h
The time for all the lights to go out = The time for the lamps to use all the power available in the battery = t ≈ 21.43 h
∴ The time for all the lights to go out ≈ 21.43 hours.
Which wave must have a medium to travel?
A) light wave
B)compression wave
C) electromagnetic wave
D) ultraviolet wave
Explanation:
light waves because the categorised under mechanical waves
A satellite orbiting Earth at an orbital radius r has a velocity v. What would the velocity be if the satellite is moved to an orbital radius of 6r
Orbital velocity of satellite
\(v = \sqrt{ \frac{gm}{r} } \)
Radius of new orbit r' =6r
Thus new orbital velocity of satellite:
\(v = \sqrt{ \frac{gm}{6r} } = \frac{v}{ \sqrt{6} } \)
About Orbital speedFor satellites in circular orbits, the relationship between orbital velocity and altitude is strict. The task of a satellite launch rocket is to release the satellite at a suitable place in space, with the appropriate speed and direction of movement to put it in the desired orbit.
How a satellite stays in orbit can be thought of in two equivalent ways, both of which explain the relationship between the satellite's altitude and velocity.
The motion of the satellite can be seen as creating a centrifugal force that opposes the gravitational pull. For example, imagine attaching an object to a string and swinging it in a circle. The object is pulling outward against the string, and that outward force (centrifugal force) becomes greater the faster the object swings. At the right speed, the centrifugal force of the satellite due to motion around the earth just balances the gravitational pull, and the satellite remains in orbit.
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A graph of extension against force for an elastic material is:
a. A straight line from
b. A downward curve
c. An upward curve
d. A straight line from any point on the x and y axis the origin
Answer:
A
Explanation:
I just did it and got it right
A graph of extension against force for an elastic material is a straight line from origin.
What is Hook's law?Hookes's law states that, the extention of a material is directly proportional to the force applied as long as the elastic limit is not exceeded.
Hence, a graph of extension against force for an elastic material is a straight line from origin.
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a ball shot straight up with kinetic energy k 0 reaches height h. what height will it reach if the initial kinetic energy is double
The height the ball will reach if the initial kinetic energy is double is 4 times the original height (4h).
The initial kinetic energy of the ball is given as K0, and it is related to the initial velocity v₀ by the formula \(K_0 = 1/2mv0^2\), where m is the mass of the ball. When the ball is shot straight up, it reaches a maximum height h, which can be calculated using the formula\(h = v_0 {^2/2g\), where g is the acceleration due to gravity.
If the initial kinetic energy of the ball is doubled, then the initial velocity of the ball will also double, since \(K_0 = 1/2mv0^2\).
Therefore, the new initial velocity is
\(v_0 = \sqrt{(2K_0/m)\)
\(= \sqrt(21/2m*v_0 ^ {2}/m)\)
\(= \sqrt{(2)*v_0.\)
Using the formula for maximum height, the new maximum height h' can be calculated as \(h' = v_0^2/2g = (\sqrt{(2)*v_0)^2}/2g = 2v_0^2/2g = 2h.\)
Therefore, the new height the ball will reach if the initial kinetic energy is double is 2 times the original height (2h), or 4 times the original height (4h) if compared to the initial height before being shot up.
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Today's Bellwork
The one ounce gold coin, $50 face value,
weighs 33.931 g. If gold has a density of 19.25
g/cm³, what volume does this coin occupy?
The volume occupied by the one ounce gold coin (i.e 33.932 g), given that its has a density of 19.25 g/cm³, is 1.76 cm³
How do i determine the volume occupied?The following data were obtained from the question:
gold bar. Details below:
Mass of gold coin = 33.931 gDensity of gold = 19.25 g/cm³Volume of gold = ?The volume of the gold coin can be obtained as follow:
Density = mass / volume
Cross multiply
Density × volume = mass
Divide both sides by density
Volume = mass / density
Volume of gold = 33.931 / 19.25
Volume of gold = 1.76 cm³
Thus, we can conclude that the volume occupied is 1.76 cm³
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A 1200 kg car accelerates from 13 m/s to 17 m/s. find the change in momentum of the car.
Uv rays are a type of ""ionizing radiation"" and are energetic enough to damage biological tissue such that they degrade into ions and electrons. What other forms of electromagnetic radiation do you think could be ionizing?.
The other forms of electromagnetic radiation you think could be ionizing are x-rays and gamma rays.
Ionizing radiation, including nuclear radiation, consists of subatomic debris or electromagnetic waves which have sufficient strength to ionize atoms or molecules by using detaching electrons from them.
Electromagnetic radiation consists of waves of the electromagnetic subject, which propagate thru an area and deliver electromagnetic radiant electricity. It includes radio waves, microwaves, infrared, light, ultraviolet, X-rays, and gamma rays. All of those waves form part of the electromagnetic spectrum.
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How much momentum does a stationary 5500 kg mass have?
Answer:0
Explanation:
All stationary objects have no momentum they do not have any motion to have momentum you need mass and motion
a solid sphere, a solid cylinder, and a hollow cylinder are placed at the top of an inclined plane. if all are made of the same material and are released at the same time, which one will reach the bottom first? group of answer choices the solid cylinder. the sphere. the hollow cylinder.
The solid sphere will reach the bottom of the inclined plane first. The reason for this is that the sphere has the smallest surface area to volume ratio which means that there is less friction acting on it as it rolls down the incline.
Which moves more quickly, a sphere or a cylinder?Solid sphere moves more quickly than solid cylinder because it has a lower moment of inertia and more kinetic energy during translation. Comparable solid objects move more slowly than hollow ones.
Which reaches the bottom first, the cylinder or the sphere?If a cylinder and a sphere have the same mass and radius, the cylinder will have a greater moment of inertia due to its greater mass at its edges. Because the sphere's moment of inertia is smaller, it will move faster and arrive at the bottom first.
What causes a hollow cylinder to roll more slowly?The process by which potential energy (PE) is transformed into kinetic energy is the cause of the solid cylinder's faster descent than the hollow cylinder. Some of the PE is transformed to rotating kinetic energy (RKE), not simply linear kinetic energy, because the cylinder is rolling (LKE).
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the frequency of a wave is 12Hz the wave length is 5m what is the speed of the wave
Answer:
60 i think is the answer correct me if i am wrong
Explanation:
How do you find your target heart rate for a female
subtract your age from 220
Singly charged uranium-238 ions are accelerated through a potential difference of 2.20 kV and enter a uniform magnetic field of 1.90 T directed perpendicular to their velocities. Determine the radius of their circular path.
Answer:
r = 0.0548 m
Explanation:
Given that,
Singly charged uranium-238 ions are accelerated through a potential difference of 2.20 kV and enter a uniform magnetic field of 1.90 T directed perpendicular to their velocities.
We need to find the radius of their circular path. The formula for the radius of path is given by :
\(r=\dfrac{1}{B}\sqrt{\dfrac{2mV}{q}}\)
m is mass of Singly charged uranium-238 ion, \(m=3.95\times 10^{-25}\ kg\)
q is charge
So,
\(r=\dfrac{1}{1.9}\times \sqrt{\dfrac{2\times 3.95\times 10^{-25}\times 2.2\times 10^3}{1.6\times 10^{-19}}}\\\\r=0.0548\ m\)
So, the radius of their circular path is equal to 0.0548 m.
help me
please
lol
?????
Answer:
150 N= 15 or 150 N= 1.1
Explanation:
What I did was subtract 165kg and 150 N and I divided it too but I got 1.1 so yuhh
what does this show about how living material is affected the shortest wavelengths in the electromagnetic spectrum
This demonstrates that the most harmful electromagnetic waves are those with the highest frequency and shortest wavelength.
Visible light, radio, television transmissions, microwaves, and X-rays are all examples of electromagnetic radiation, which is present in a broad variety of wavelengths and frequencies in the electromagnetic spectrum. The majority of the time, radiation with wavelengths far shorter than visible light has enough energy to remove electrons from atoms. It is referred to as Ionizing radiation.
The danger to living things increases generally with shorter wavelength. Very short wavelengths, including X-rays and gamma rays, can quickly harm living tissue, notwithstanding the dangers associated with longer wavelengths.
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The complete question is:
Sunburn is brought on by ultraviolet rays, and our bodies can be deeply penetrated by X rays. Gamma rays eliminate cancerous cells. What does this show about how living material is affected the shortest wavelengths in the electromagnetic spectrum?
when a shiny chunk of metal with a mass of 1.32 kg absorbs 3250 j of energy, the temperature of the metal increases from 273 k to 292 k. is this metal likely to be silver, lead, or aluminum?
Answer:
Lead
Explanation:
To figure out if the given metal is silver, lead, or aluminum, we have to calculate its specific heat capacity, which is the heat energy required to raise the temperature of one kilogram of the respective substance by one degree Celsius (or one Kelvin).
To do that, we can use the following formula:
\(\boxed{C = \frac{Q}{m \cdot \Delta T}}\),
where:
• C ⇒ specific heat capacity (J kg⁻¹ K⁻¹)
• Q ⇒ heat energy (J)
• m ⇒ mass of object (kg)
• ΔT ⇒ change in temperature (K)
Using the given information and the formula above, we can calculate the specific heat capacity of the given metal:
\(\mathrm {C = \frac{3250 \ J}{1.32 \ kg \times (292 - 273) \ K }}\)
= 129. 6 J kg⁻¹ K⁻¹
Therefore, the metal is lead, because the specific heat capacity of lead is around 130 J kg⁻¹ K⁻¹, which is very close to the answer we got.
HELP ME ASAP PLZZZ!!!
In which reaction are the atoms of elements rearranged?
12.
A stone is dropped from the top of tower of height h. After 1
second another stone is dropped from the balcony 20 m belowthe top. Both reach the bottom simultaneously. What is the value
of h? (Take g = 10 ms-2)
a)3125 m
b) 312.5 m
c) 31.25 m
d) 25.31 m
Answer:
31.25 is the correct answer
A football player kicks a ball with an initial velocity of 25 m/s at an angle of 53 degrees above the horizontal. The vertical component of the initial velocity of the ball
Answer:
20 m/s
Explanation:
initial velocity, u= 25m/s
u has two components. one in horizontal and in one vertical.
so,
u sin theta = vertical component.
=> u sin theta = 25× 4/5
= 20 m/s
a woman weighs 580 N . what is her mass?
Answer:
The mass of woman is 59.18 kg.Given data:Weight of women is, .An object on the surface has its weight such that it is determined by the force of gravity acting on the object. Mathematically, the weight of object is calculated by multiplying the gravitational acceleration with mass of object.Then,Here, m is the mass of woman and g is the gravitational acceleration.Solving as,Thus, the mass of woman is 59.18 kg.
Explanation:
59.18 kg
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Sonar is a device that uses reflected sound waves to measure underwater depths. If a sonar signal has a wavelength of 5.9 m and the velocity of sound in water is 15 m/s, what is the frequency of the signal?
The frequency of the signal is = 2.5 Hz
Calculation of frequencyThe wavelength of the sonar device = 5.9 m
The velocity of the sound = 15 m/s
The frequency = ?
But the formula for the velocity of sound wave = frequency × wavelength
Male frequency the subject of formula,
f = v/ wavelength
f = 15/5.9
f = 2.5Hz
Therefore, the frequency of the signal is = 2.5Hz
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Robert hook used an early microscope to observed a cork sample. How did this help contribute to cell theory?
Answer:
Robert Hooke used an early microscope to observe a cork sample. How did this help contribute to cell theory? It helped to show that cells contain water. ... It helped to show that some cells are visible to the naked eye.
Explanation:
If your teacher checks if it was copied just put it in your on words
If two vectors a equals to 4 metre per second and b is equals to 7 metre per second be inclined at an angle of 60 degree to each other then determine the direction and magnitude of the resultant
Answer:
Explanation:
a = 4m/s
b = 7m/s
R = ?
R = sq. 4*2 + 7*2 + 2 x 4 x 7 x cos60
R = sq 93
direction is the angle which is already given in question.
Explain what major mistake producers made when editing the battle scenes for the movie Star Wars
Answer: Air
Explanation:
Roffns dn b bdd