A balance uses small metal weights of known mass to determine the mass of a substance. Where would a balance NOT function correctly?.

Answer:

True

Explanation:

Answer:

Identify the name of the individual, group or institution that created the website. A reliable website should clearly state the name of its creator. Generally, websites created by government institutions (.gov) and educational institutions (.edu) are considered more reliable.

The block rises to a maximum height of 9.98 m above the point of release.

The maximum height above the point of release to which the block rises after it is released from rest can be calculated as follows:

Step 1: Determine the potential energy stored in the spring U = 1/2 kx² Where, U is the potential energy of the spring, k is the force constant, and x is the compression in meters U = 1/2 × 4975 N/m × (0.099 m)²U = 24.52 J

Step 2: The potential energy stored in the spring is converted into kinetic energy, which is then converted into gravitational potential energy.
Thus, U = K.E. = 1/2 mv²Where, K.E. is the kinetic energy of the block, m is the mass of the block, and v is the velocity of the block just after leaving the spring. Rearrange the above formula to calculate the velocity of the block as it leaves the spring: v = √(2U/m)v = √[2(24.52 J)/0.259 kg]v = 5.60 m/s

Step 3: At the maximum height above the point of release, the block has zero kinetic energy and a maximum potential energy. Thus, the gravitational potential energy of the block can be calculated as follows: mgh = U
Where, m is the mass of the block, g is the acceleration due to gravity, h is the maximum height above the point of release, and U is the potential energy stored in the spring. h = U/mg= U/(mg) = (24.52 J)/(0.259 kg × 9.81 m/s²)h = 9.98 m

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Answer:

648.40N

Explanation:

Centripetal acceleration is the acceleration of an object around a circular path. Centripetal for e acting on the combined mass is expressed as:

F = ma

F = mv²/r

m is the mass of the object = 143kg

v is the linear velocity = 13.8m/s

r is the radius = 42.0m

Substitute the given parameters into the formula;

F = 143*13.8²/42

F = 27,232.92/42

F = 648.40N

Hence the magnitude of the centripetal force acting on the combined mass is 648.40N

The speed of the car at the bottom of the driveway is approximately 4.71 m/s.

To find the speed of the car at the bottom, first, calculate the parallel component of gravity (Fg_parallel = m * g * sin(theta)), which is 2603 kg * 9.8 m/s² * sin(35°) ≈ 14724 N.

Then, find the net force acting on the car (F_net = Fg_parallel - frictional force), which is 14724 N - 3651 N = 11073 N. Next, determine the acceleration (a = F_net / m) as 11073 N / 2603 kg ≈ 4.26 m/s².

Finally, use the kinematic equation (v² = u² + 2as) to calculate the final speed (v = √(0² + 2 * 4.26 m/s² * 5 m)) ≈ 4.71 m/s.

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The following is the order from smallest volume to largest: open cluster, globular cluster, nebula (Eagle Nebula), stellar neighborhood, star system, galaxy, universe.

The following is the order from smallest volume to largest: open cluster, globular cluster, nebula (Eagle Nebula)stellar neighborhood star system galaxy universe. An open cluster is a group of up to a few thousand stars that were formed from the same giant molecular cloud and have roughly the same age, distance from Earth, and chemical composition. An example of an open cluster is the Pleiades. A globular cluster is a densely packed group of up to a million stars that are held together by gravity. An example of a globular cluster is Omega Centauri. The Eagle Nebula is a diffuse emission nebula located in the constellation Serpens, approximately 7,000 light-years away from Earth. A stellar neighborhood is a region of space that is populated by a small group of stars that are gravitationally bound to each other. A star system is a collection of two or more stars that are gravitationally bound and orbit around a common center of mass. Our Solar System is an example of a star system.A galaxy is a gravitationally bound system of stars, stellar remnants, interstellar gas, dust, and dark matter. The Milky Way is an example of a galaxy. The universe is the totality of all matter, energy, and space-time, including all the planets, stars, galaxies, and other celestial bodies that exist.

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The Bernoulli effect is a phenomenon in fluid dynamics where an increase in fluid velocity leads to a decrease in pressure.

In the case of winds in Boulder, Colorado, with sustained speeds of 45.0 m/s, there would be a decrease in pressure above the roof due to the Bernoulli effect.

To calculate the force due to the Bernoulli effect on a roof with an area of 200 m2, we need to know the pressure difference caused by the wind. Without knowing more specific details about the roof, such as its shape and height, it's difficult to accurately calculate this pressure difference.

However, we do know that the Bernoulli effect on the roof would be one factor contributing to the overall force of the wind on the roof. Other factors, such as the direct impact of the wind and the weight of any snow or debris that the wind may carry, would also need to be considered when assessing the potential damage or structural integrity of the roof.

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Answer:

The tension in the thread is approximately 3.2103225 Newtons

Explanation:

The given parameters are;

The side length of the aluminum cube, s = 5 cm

The R.D. of aluminum = 2.7

The relative density of alcohol into which the aluminum cube is placed = 0.8

The volume of the aluminum cube, V = s³ = (5 cm)³ = 125 cm³

The mass of the aluminum cube, V = The volume of the cube

The mass of the aluminum cube, m = V × R.D. × Density of water

m₁ = 0.000125 × 2.7 × 970 = 0.327375 kg

The mass of the alcohol displaced, m₂ = 0.000125 × 0.8 × 970 = 0.097

The tension in the string, T = The apparent weight of the aluminum cube, Wₐ

∴ The tension in the thread, T = Wₐ = (m₁ - m₂) × g

Where;

g = The acceleration due to gravity ≈ 9.81 m/s²

∴ T ≈ (0.327375 - 0.000125) × 9.81 = 3.2103225

The tension in the thread, T ≈ 3.2103225 N.

The final speed of the railroad cart is equal to 12 m/s.

According to the law of conservation of momentum, the sum of the momentum before and after the collision of the objects must be equal.

m₁u₁ + m₂u₂ =  m₁ v₁ + m₂ v₂

Where m₁ and m₂ are the mass of the objects, u₁ and u₂ are the initial speed while v₁ & v₂ is the final speed.

The momentum of an object is defined as the product of the mass times the velocity of that object.

Given the mass of the empty cart, m₁ = 200 Kg

The mass of the rock, m₂ = 50 Kg

The initial velocity of the empty cart, u₁ = 0

m₁ u₁ + m₂ u₂ = (m₁ + m₂)× V

200 × 15 + 50 × 0=  (200 + 50) × V

V = 12 m/s

Therefore, the final speed of the railroad cart is equal to 12 m/s.

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Answer:

6.72 m/s

Explanation:

recall that the equations of motion may be expressed as

v² = u² + 2as

where,

v = final velocity,

u = initial velocity = 0 m/s because it is stationary before it starts falling

a = acceleration (in this case because it is falling, it is the acceleration due to gravity = 9.81 m/s²)

s = distance traveled = 2.3m

in our case, if we neglect air resistance, then we simply substitute the known values above into the equation of motion.

v² = u² + 2as

v² = 0² + 2(9.81)(2.3)

v² = 45.126

v = √45.126

v = 6.72 m/s

If we observe both athletes speed's , Maria runs faster than Dimitra

The speed of an object is described as the magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.

We compare the athletes' speeds to see who runs faster. While Dimitra moves at a speed of 6 km/h, Maria moves at 18 km/h.

We can infer that Maria runs faster than Dimitra since her speed (18 km/h) is higher than his (6 km/h).

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The maximum value of the magnetic field in the given wave is 5 nT.

Given;

maximum value of the electric field, E₀ = 1.5 V/m

The maximum value of the magnetic field in the given wave is calculated as;

B₀ = \(\frac{E_{0} }{c}\)

where;

c is the speed of light = 3 x 10⁸ m/s

B₀ = \(\frac{E_{0}}{c}\)

B₀ = \(\frac{1.5}{3 . 10^{8} }\) = 0.5 x 10⁻⁸ = 5 x 10⁻⁹

B₀ = 5 nT

Therefore, the maximum value of the magnetic field in the given wave is 5 nT.

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The potential to difference across each capacitor assuming the two capacitors are in parallel are;

The charge on each capacitor assuming the two capacitors are in parallel are:

C) The potential difference, p.d for the capacitors connected in series are inversely proportional to the capacitance and are as follows;

D) When the connection is parallel, the charge on each capacitor is shared as follows;

First, Total charge, Q = C(total) × V.

where, C(total) = (0.5×1.4)/(1.9) = 0.37-μF.

Q = 2.22C

Hence, the charge is shared as follows;

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Answer: \(18.798\times 10^5\ J\)

Explanation:

Given

Mass of snow is \(m=3\ kg\)

First snow is converted to water at \(0^{\circ}C\) and then it is taken to \(70^{\circ}C\)

Heat required to convert the ice into water at \(0^{\circ}C\)

\(Q_1=3\times 3.34\times 10^5\\Q_1=10.02\times 10^5\ J\)

Heat required to raise temperature from \(0^{\circ}C\) to \(70^{\circ}C\)

\(Q_2=3\times 4180\times (70-0)\\Q_2=8.778\times 10^5\ J\)

Total heat required

\(\Rightarrow Q=Q_1+Q_2\\\Rightarrow Q=10.02\times 10^5+8.778\times 10^5\\\Rightarrow Q=18.798\times 10^5\ J\)

Answer:

-7,942.2 Newtons

Explanation:

Car Force Calculation.

How much force would you exert if your car weighs 1,302 and your acceleration rate is -6.1 m/s

To calculate the force exerted by a car, we can use the formula:

force = mass x acceleration

where mass is the mass of the car in kilograms, and acceleration is the acceleration rate in meters per second squared (m/s^2).

Given that the car weighs 1,302 kg and the acceleration rate is -6.1 m/s^2, we can plug these values into the formula:

force = 1,302 kg x (-6.1 m/s^2)

force = -7,942.2 Newtons (N)

The negative sign indicates that the force is in the opposite direction of the acceleration, which in this case is towards the back of the car.

The speed at which the paper clip be launched horizontally, given that the paper clip has a mass of 0.01 Kg is 5.81 m/s

We'll begin by obtaining the energy stored in the stored in rubber. This is shown below:

E = ½Ke²

E = ½ × 15× 0.15²

E = 7.5 × 0.0225

E = 0.16875 J

Finally, we shall determine the speed. Details below:

KE = ½mv²

0.16875 = ½ × 0.01 × v²

0.16875 = 0.005 × v²

Divide both side by 0.005

v² = 0.16875 / 0.005

Take the square root of both side

v = √(0.16875 / 0.005)

v = 5.81 m/s

Thus, the speed is 5.81 m/s

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Mary's angular speed ?M is higher than Alex's angular speed ?A, and ?M can be expressed as a multiple of ?A, whereas, Mary's tangential speed vM is higher than Alex's tangential speed vA, and vM can be expressed as a multiple of vA.

Mary and Alex are riding on a 26-foot-diameter carousel. Mary is sitting 11 feet away from the center in the outer section, and Alex is sitting 7 feet away from the center in the inner section.

(a) The angular speed ?M of Mary is higher than the angular speed ?A of Alex, because Mary is sitting further away from the center than Alex.

To calculate the angular speeds, we can use the equation = 2?r/t,  where ? is the angular speed, r is the distance from the center, and t is the time it takes to make one revolution. Since Mary is 11 feet away from the center, and Alex is 7 feet away from the center, we can find ?M and ?A as follows:

?M = 2?(11 feet)/t
?A = 2?(7 feet)/t

Therefore, Mary's angular speed ?M is higher than Alex's angular speed ?A, and ?M can be expressed as a multiple of ?A.

(b) The tangential speed vM of Mary is also higher than the tangential speed vA of Alex, because Mary is further away from the center than Alex. To calculate the tangential speeds, we can use the equation v = ?r, where v is the tangential speed, and ? is the angular speed. Therefore, we can find vM and vA as follows:

vM = ?M(11 feet)
vA = ?A(7 feet)

Therefore, Mary's tangential speed vM is higher than Alex's tangential speed vA, and vM can be expressed as a multiple of vA.

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Explanation:

KE =1/2 MV^2

HOPE YOU COULD SOLVE FROM NOW..

The kinetic energy of the object which moves according to the function x = t7/2  is proportional to t^5.

The kinetic energy (KE) of an object is proportional to its mass (m) and the square of its velocity (v). If x = t^(7/2) is the equation for the distance traveled by the object, then its velocity (v) can be obtained by taking the derivative of x with respect to time (t).

v = dx/dt = (7/2)t^(5/2)

So the kinetic energy can be calculated as:

KE = 1/2 * m * v^2 = 1/2 * m * [(7/2)t^(5/2)]^2 = (49/8) * m * t^5

Therefore, the kinetic energy of the object is proportional to t^5.

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(i) Switch k1 is closed:

The current passing through the circuit is:  0.25 amps

R_total = R1 + R2 = 3 + 5 = 8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / 8 = 0.25 amps

(ii) Switches k1 and k2 are closed:

The current passing through the circuit is: 1.07 amps

1/R_total = 1/R1 + 1/(R2 + R3) = 1/3 + 1/(5 + 0) = 8/15

R_total = 15/8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / (15/8) = 1.07 amps

(iii) Switch k1 is open and k2 is closed:

The current passing through the circuit is: 1.07 amps

1/R_total = 1/R2 + 1/(R1 + R3) = 1/5 + 1/(3 + 0) = 1/5 + 1/3 = 8/15

R_total = 15/8 ohms

The current passing through the circuit is:

i = V / R_total = 2 / (15/8) = 1.07 amps

So the current passing through the circuit depends on which switches are closed, and can range from 0.25 amps to 1.07 amps.

What is current?

Crrent refers to the flow of electric charge through a conductor, such as a wire. It is measured in amperes (A) and is defined as the rate at which electric charge flows past a given point in a circuit. current is caused by the movement of charged particles, such as electrons or ions, through a conductor.

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Use Newton's second law.

The object's mass is the same everywhere, so first compute the mass using the object's weight on Earth:

F = ma   ⇒   59 N = m (9.8 N/kg)   ⇒   m ≈ 6.02041 kg

Now compute the acceleration on the other planet:

F = ma   ⇒   40.5 N ≈ (6.02041 kg) a

⇒   a ≈ 6.72712 m/s² ≈ 6.7 m/s² ≈ 1.5g

where g = 9.8 m/s², just to express this acceleration relative to the gravitational acceleration at Earth's surface.

We can see the star sirius and its companion, the pup, moving around each other. Careful measurement of this motion can provide the masses of both stars in the system.

How do stars move?

The stars in our galaxy are all said to be orbiting in a nearly circular path around the center of the galaxy because the immense combined mass of the galaxy, which is mostly near the center, creates immense gravity that pulls all the stars in our galaxy into circular orbits.

The study of astronomy has helped us to understand that Stars rise in the northeast and set in the northwest, moving in counter-clockwise circles around a point that's high above the northern horizon.

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Since a rotating comet is an isolated system, all of its mechanical energy (motion + potential) and angular momentum are conserved (constant).

Angular momentum is the quantity rotation of a body which is the product of its moment.

The angular momentum is given by,

L = mvr

where v= velocity of comet ,

r= distance of comet from sun ,

m= mass of comet,  

At position 1, r is smaller therefore v (speed) increases to keep the angular momentum constant, similarly at position r be comes large do the  speed v decreases again to keep the angular  momentum to the constant , therefore at position 1 speed of the and it  is greater than at 2. As speed is larger at 1 , therefore kinetic energy ( K=1/2mv² ) will also be greater at the  position 1 compared of   position 2 .

Now mechanical energy is the  same at both positions of  due to energy conservation law .

As mechanical energy is equal =KE+GPE , since it is  kinetic energy is greater at the  position 1 therefore GPE will be greater at position 2 .

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Answer:

a) Vi = 137.2 m/s

b) h = 960.4 m

Explanation:

a)

In order to find the initial speed we will use first equation of motion:

Vf = Vi + gt

where,

Vf = Final velocity = 0 m/s (since ball stops at highest point)

Vi = Initial Velocity = ?

g = - 9.8 m/s² (negative sign for upward moyion)

t = time interval = 14 s

Therefore,

0 m/s = Vi + (-9.8 m/s²)(14 s)

Vi = 137.2 m/s

b)

Now, we use second equation of motion to find height (h):

h = Vi t + (1/2)gt²

h = (137.2 m/s)(14 s) + (1/2)(-9.8 m/s²)(14 s)²

h = 1920.8 m - 960.4 m

h = 960.4 m

The time taken by Kamal's family to drive on the second day is 6.45 hours.

What is speed?

Speed is defined as the ratio of the time it takes for a body to cross a distance to the time it takes.

The time is calculated as:-

For 4 hours of driving at an average speed of 60 miles per hour, the distance covered is,

d = 60 x 4 = 240miles

Miles remaining for the second day is,

627 - 240 = 387 miles

Time taken to cover 387 miles second day is,

T = 387 / 60 = 6.45 hours

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Answer:

A simple pulley is a wheel with a rope that allows you to pull one end and have it lift whatever is on the other end. A modern, common example of this is a crane, often used in construction.

Explanation:

\(velocity = \frac{distance}{time} \)

\( \frac{(30 + 10 + 80) \times 1000}{83 \times 60} \)

\( = 0.024m.{s}^{ - 1} \)

Answer: it goes the same speed as the car

Explanation:

Answer:

a

Explanation:

because it's need someone moving it so it can move somewhere else

At position (3, 9), where the tangent line passes through, Han Solo should turn off the engines (4, 15).

The first three things need to be completed, or at least started, right away: Fly the aircraft as you instantly apply full carb heat and check the gasoline in both or one of the tanks, hit the fuel boost or pump, and mix the fuel to full richness.

Finding the tangent line to the curve y = x2 at that location will help us determine when Han Solo should turn off the engines.

The derivative of the function determines the slope of the tangent line at any point on the curve y = x2.: dy/dx = 2x

Han Solo should turn off the engines at position (x1, y1). Next, we have

y1 = x1^2 (since the point is on the curve y = x^2)

dy/dx = 2x1 (since this is the slope of the tangent line at (x1, y1))

The equation of the tangent line via (4, 15) can be expressed using the point-slope form of a line as follows:

y - y1 = m(x - x1)

Substituting y1 = x1^2 and m = 2x1, we get:

y - x1^2 = 2x1(x - x1)

Now, we can substitute the coordinates of the point (4, 15) to solve for x1:

15 - x1^2 = 2x1(4 - x1)

15 - x1^2 = 8x1 - 2x1^2

x1^2 - 8x1 + 15 = 0

This quadratic equation can be factored as:

(x1 - 3)(x1 - 5) = 0

Therefore, the possible values of x1 are 3 and 5.

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