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ACCELERATION CHART
Objects
Acceleration
Mass
Force
m/s²
kg
N
1
1
1
1
2
2
10
20
3
10
10
20
20
5
0.5
20
10
6
2
50
?
5. Based on the chart, if the mass of an object remains the same and the force moving it is
doubled, what happens to the acceleration?
A. the acceleration is doubled
B. the acceleration decreases
C. the acceleration remains the same
D. the acceleration is reduced to zero

Given:

• Length of beam = 7 m

• Mass of beam = 50 kg

• Mass of person = 60 kg

• Distance of the person from the left = 3.6 m

Let's find the tensions, T1 and T2.

First make a free body sketch:

Here, the net torque = 0.

To find the tension, T1, we have:

Where:

l = 7 m

mp = 60 kg

g is acceleration due to gravity = 9.8 m/s²

l1 = 3.6 m

mb = 50 kg

Thus, we have:

Therefore, the tension T1 = 530.6 N.

To find the tension T2, we have:

Thererfore the tension T2 = 547.5 N

• ANSWER:

T1 = 530.6 N

T2 = 547.4 N

Using conservation of momentum, we equate the initial momentum of the system to the final momentum after the collision to calculate the velocity of the system.

(a) To calculate the velocity of the system (bullet plus block) after the collision, we can use the principle of conservation of momentum. The initial momentum of the system is given by the product of the mass of the bullet (\(m_{bullet} *v_{bullet}\)) and its initial velocity (\(v_{bullet}\), which is equal to the final momentum of the system after the collision.

Initial momentum = \(m_{bullet} *v_{bullet}\)

The bullet embeds itself in the block, so the mass of the system after the collision is the sum of the bullet mass and the block mass (\(m_{block}\)):

\(m_{system} = m_b_u_l_l_e_t + m_b_l_o_c_k\)

Using the principle of conservation of momentum:

\(m_s_y_s_t_e_m * v_f_i_n_a_l = m_b_u_l_l_e_t * v_b_u_l_l_e_t\)

Substituting the given values:

(0.007 kg + 0.993 kg) * v_final = 0.007 kg * 260 m/s

Simplifying the equation:

\(v_f_i_n_a_l\) = (0.007 kg * 260 m/s) / (0.007 kg + 0.993 kg)

\(v_f_i_n_a_l\)≈ 1.852 m/s

(b) The amplitude of the simple harmonic motion (SHM) can be determined using the maximum compression distance of the spring (\(x_m_a_x\)) reached by the block. The amplitude (A) is equal to half of the maximum compression distance:

A = \(x_m_a_x/2\)

Substituting the given value:

A = 0.18 m / 2

A = 0.09 m

(c) To find the spring constant (k), we can use the equation for the potential energy stored in a spring:

Potential energy = \((1/2) * k * A^2\)

The potential energy is equal to the kinetic energy of the system after the collision, which is given by:

Kinetic energy = \((1/2) * m_s_y_s_t_e_m * v_f_i_n_a_l^2\)

Setting these two expressions equal:

\((1/2) * k * A^2 = (1/2) * m_s_y_s_t_e_m * v_f_i_n_a_l^2\)

Substituting the given values:

\((1/2) * k * (0.09 m)^2 = (1/2) * (0.007 kg + 0.993 kg) * (1.852 m/s)^2\)

Simplifying the equation:

k ≈ [(0.007 kg + 0.993 kg) * (1.852 m/s)^2] / (0.09 m)^2

\(k = [(0.007 kg + 0.993 kg) * (1.852 m/s)^2] / (0.09 m)^2\)

k ≈ 745.05 N/m

(d) The period (T) of the motion can be calculated using the formula:

T = 2π * √(\(m_{system}\) / k)

Substituting the given values:

T = 2π * √[(0.007 kg + 0.993 kg) / 745.05 N/m]

T ≈ 2π * √(1 kg / 745.05 N/m)

T ≈ 0.53 s

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Planetary winds and currents have a significant impact on the Earth's climate and weather patterns. They are influenced by a variety of factors such as solar radiation, the rotation of the Earth, and temperature gradients.

Planetary winds and currents move in the same direction, assisting in the transport of heat and moisture around the world. For example, trade winds move from subtropical high-pressure zones to equatorial low-pressure zones, whereas prevailing westerlies move from west to east. Warm currents flow from the equator to the poles, and cold currents flow from the poles to the equator, as do ocean currents. The direction and strength of planetary winds and currents influence climate and weather patterns in various parts of the world.

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The two equal-mass objects will stick together and move as one object after the completely inelastic collision.

In an inelastic collision, the two objects involved stick together and move as a single object after the collision. Since the objects have equal masses and are moving towards each other at equal speeds, their momenta will be equal and opposite before the collision.

During the collision, the objects come into contact and exert forces on each other. These internal forces cause the objects to deform and redistribute their velocities. However, due to the conservation of momentum, the total momentum before the collision must be equal to the total momentum after the collision.

Since the initial momenta of the objects are equal and opposite, the final momentum of the combined object will also be zero. This means the objects will stick together and move as one object after the collision, with a common velocity. This scenario is known as a completely inelastic collision.

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The initial speed of the projectile is 18.5m/s

Projectile motion is the motion of an object thrown into the air under gravity. Examples of projectiles include a fired bullet, a thrown javelin e t.c

When a projectile is launched horizontal, it's horizontal range is given as R = u(√2h/g)

R = 300ft = 91.44meters

h= 120m

therefore 91.44= u( √ 2×120/9.8)

91.44 = u ( √24.49)

91.44 = 4.95 u

divide both sides by 4.95

u = 91.44/4.95

u = 18.5m/s

therefore the speed of the projectile is 18.5m/s

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Answer:

1. 7

2. Mass

3. (b) Distance

4. (b) Force

5. (a) ML⁻¹T⁻²

6. (c) M⁻¹LT²

7. (c) M⁻¹L³T⁻²

8. (c) Pressure

9. (c) Young's modulus

10. (b) zero

11. (c) Infinite

12. (d) 1:4

13. (b) 0.6 J

14. (c) 45 N

15. (a) 0.4 cc

16. (a) 176.7 °F

17. (a) 10°C

18. (c) 50 K

19. b. H

Explanation:

15. Whereby the compressibility = 4 × 10⁻⁵ Pa⁻¹

The compression ratio for 100 Pa = 4 × 10⁻⁵ × 100 = 4 × 10⁻³

The Change for 100 cc = 4 × 10⁻³ × 100 cc = 0.4cc

Answer:

I hope this might help.

Answer:

What caused the slope to change around 1905 and 1906? Building the Canadian hydroelectric plant reduced the rate of erosion after 1906. This change in the rate of erosion is represented by the change in the slope on the graph. Hydroelectric dams convert kinetic energy from moving water to electrical energy.

Answer:

In 1906, around the time the Canadian hydroelectric plant began operating, the erosion rate decreased to approximately 0.7 meters per year.

Explanation:

Answer:

El material del calorímetro es aislante, conducción térmica entre sustancias y alrededores casi nula.

Explanation:

Es posible suponer que la energía térmica que gana el agua en un calórimetro equivale a la energía térmica perdida por la muestra que se prueba, en tanto que el material del calorímetro se caracteriza por ser de naturaleza aislante, es decir, que no permite las interacciones de energía entre los fluidos al interior y los alrededores del calorímetro.

Star B is closer than star A, because 1/ 0.58 = 1.72 pc, while 1/.73 = 1.36 pc.

To calculate the distances to nearby stars, astronomers employ a phenomenon known as parallax. The apparent displacement of an object due to a change in the viewer's point of view is known as parallax. The distances between close stars can be calculated using this phenomenon. A nearer star will seem to move against the farther-off background stars as the Earth revolves around the Sun. By measuring a star's position once, then again six months later, astronomers can establish the apparent shift in location of that star. The apparent motion of the star is referred to as stellar parallax.

A straightforward correlation exists between the distance of a star and parallax angle:

\(d=\frac{1}{p}\)

The distance d and parallax angle p are both measured in parsecs and arcseconds, respectively.

Stellar parallax of star A= 0.58 arcseconds

Stellar parallax of star B= 0.73 arcseconds

So, on applying the formula,

The distance of the star A= 1.72pc

And the distance of the star B= 1.36pc

Therefore, star B is closer than star A.

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Answer:

Reigon 1

Explanation:

It has the higest rate of landslides currently

Answer:

Because it has more texture and is solid. Its like glass

Explanation:

Answer:

Why is ice more reflective (has higher albedo) than liquid water? They're both the same substance (water). Is something quantum mechanical involved?

Explanation:

In fact ice is slightly less reflective than water. The reflectivity is related to the refractive index (in a rather complicated way) and the refractive index of ice is 1.31 while the refractive index of water is 1.33. The slightly lower refractive index of ice will cause a slightly lower reflectivity. In both cases the reflectivity is about 0.05 i.e. at an air/water or air/ice surface about 5% of the light is reflected.

A spring of force constant 120 N/m acted up by a constant force of 240N. Then, the elastic potential energy stored in the spring is 240 Nm.

The elastic potential energy stored in the spring is formulated as follows

                                                 PE = ½kx²

Where PE is the elastic potential energy, x is the displacement of the spring from its equilibrium position, and k is the spring force constant.

In this question, the spring force constant is 120 N/m, and the constant force acting on the spring is 240 N. To find the spring displacement, we can use the formula:

F = kx

Where F is the force acting on the spring, x is the displacement, and k is the force constant,

So that:

F = kx

240 N = 120 N/m . x

x = 240 N/120 N/m

x = 2 m

Once x is known, then we can calculate the potential energy of the spring:

PE = ½kx²

PE = ½ (120) (2²)

PE = 60 x 40

PE = 240 Nm

So, the elastic potential energy stored in the spring is 240 Nm.

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Rounding to the nearest mile, the estimated distance you can travel is approximately 198 miles.

To estimate the distance you can travel in 4 hours and 50 minutes at an average speed of 41 miles per hour, we need to convert the time to hours.

4 hours and 50 minutes is equivalent to 4.83 hours (since 50 minutes is 50÷60 = 0.83 hours).

Now, we can calculate the distance traveled using the formula: distance = speed × time.

Distance = 41 miles/hour × 4.83 hours

Distance ≈ 198.03 miles

Rounding to the nearest mile, the estimated distance you can travel is approximately 198 miles.

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Answer: its flowing, reaction

Explanation: this is because currents in a device have a flowing object inside

Answer:

Sketch the situation.

b. Calculate the potential energy, the kinetic energy, and the total energy of the car as it leaves the cliff.

c. Make a graph displaying the kinetic, gravitational potential, and total energy of the car at each 10 m

increment of height as it drops

Explanation:

The potential energy of the car at that position is 10.6 x 10⁵ J.

Potential energy of an object is defined as the energy acquired by the object by virtue its position.

Here,

Mass of the car, m = 1200 kg

Speed of the car, v = 29 m/s

Height of the cliff, h = 90 m

Therefore,

Potential energy of the car, PE = mgh

PE = 1200 x 9.8 x 90

PE = 10.6 x 10⁵ J

Hence,

The potential energy of the car at that position is 10.6 x 10⁵ J.

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The voltage between the terminal of the switch is 1 V.

The difference in charge carriers' energy between two places in a circuit is known as the potential difference.

Voltage is another name for potential difference (p.d.), which is expressed in volts (V). When charge carriers move through electrical components in a circuit, energy is transmitted to those parts.

Given parameters:

Voltage of the battery; V = 4.5 V.

Voltage of the lamp = 3.5 V.

We have to find: the voltage between the terminal of the switch = ?

As potential a scalar quantity and when the voltmeter applied on the switch, the voltage between the terminals of the switch becomes = Voltage of the battery - Voltage of the lamp

= 4.5 V - 3.5 V.

= 1 V.

Hence the voltage between the terminal of the switch is 1 V.

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Answer:

Vectors have both magnitude and direction

Explanation:

Vectors show how strong the force in because the bigger the arrow, the stronger the force.  Also, it obviously shows direction because its an arrow.

Vectors have magnitude and direction while scalars have only magnitude. Vectors are shown using an arrow above the symbol of the quantity and are often printed in bold face.

In Physics, we generally recognize two categories of quantities; vector quantities and scalar quantities.

Vector quantities have both magnitude and direction. It is normal to print vectors in bold face, with an arrow written above the symbol of the quantity. The arrow points in the direction of the vector.

The following are true regarding vectors;

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In a parallel circuit, the total current flowing through the circuit is equal to the sum of the currents through all the individual branches.

In a parallel circuit, the current has multiple paths or branches to flow through. Each branch provides a separate path for the current to follow. The total current flowing into the circuit is divided among these branches, with each branch carrying a portion of the total current.

To calculate the total current in a parallel circuit, you simply add up the currents flowing through each branch. Mathematically, it can be expressed as:

Total Current = Current in Branch 1 + Current in Branch 2 + ... + Current in Branch n

In a parallel circuit, the total current flowing through the circuit is equal to the sum of the currents through all the individual branches. This is because the current has the freedom to divide and flow through multiple paths in parallel, resulting in the sum of currents being equal to the total current.

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Answer:

Using Coulomb's Law, we know that the force of attraction between two charged objects is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. In this case, we have two charged spheres 5m apart with an attraction of 15.0 x 10^6 N.

a) If both charges are doubled and the distance remains the same , we can calculate the new force of attraction using Coulomb's Law. Doubling the charges means we have a new charge of 2q on each sphere. Plugging in the new values, we get:

F = k * (2q)^2 / (5m)^2 = 4 * (k * q^2 / 5m^2) = 4 * (15.0 x 10^6 N) = 60.0 x 10^6 N.

Therefore, the new force of attraction is 60.0 x 10^6 N.

b) If an uncharged, identical sphere is touched to one of the spheres and then taken far away, the touched sphere will take on the same charge as the original charged sphere. This is because the charges on the two spheres will equalize and redistribute when they touch. The new force of attraction between the two charged spheres will be the same as the original force before the sphere was touched, since the charge on the touched sphere is the same as the original charged sphere. Once the touched sphere is taken far away, it will no longer contribute to the force of attraction between the two charged spheres, and the force will remain the same.

c) If the separation between the two charged spheres is increased to 30 cm, we can calculate the new force of attraction using Coulomb's Law. Plugging in the new distance value, we get:

F = k * q^2 / (0.3m)^2 = (k * q^2) / (0.09m^2) = (15.0 x 10^6 N) * (5^2) / (3^2) = 125.0 x 10^6 N.

Therefore, the new force of attraction between the two charged spheres is 125.0 x 10^6 N.

Explanation:

The process of a gas cylinder floating in a large tank of water is an example of an equilibrium process.

The gas cylinder floating in a large tank of water represents a state of equilibrium. In this scenario, the gas cylinder is immersed in the water, and the forces acting on it are in balance.

When the gas cylinder is placed in the water, it experiences an upward buoyant force due to the displacement of water by the cylinder. This buoyant force is equal to the weight of the water displaced by the cylinder. According to Archimedes' principle, this buoyant force is equal to the weight of the gas cylinder itself.

Simultaneously, the gas cylinder experiences a downward gravitational force due to its own weight. For the cylinder to float, these two forces must be equal.

As a result, the floating gas cylinder represents an equilibrium state, where the buoyant force and the gravitational force are balanced. This equilibrium occurs because the density of the gas in the cylinder is lower than the density of the water, allowing it to displace a volume of water that is equal to its own weight.

Therefore, the process of a gas cylinder floating in a large tank of water is an example of an equilibrium process where the upward buoyant force equals the downward gravitational force.

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The average kinetic energy of all the atoms and molecules that make up a substance is referred to as a c. temperature.

Temperature is the term that is used to describe total average kinetic energy of all the atoms and molecules that make up a substance. The average thermal or kinetic energy of the particles in a system is measured by temperature. It illustrates how hot or cold a thing is to a certain degree.

In terms of energy transfer, such as heat, radiation refers to the emission and propagation of electromagnetic waves or particles. The phenomenon referred to as greenhouse effect is when certain gases in the atmosphere trap heat, warming the surface of the Earth. Whereas, heat represents a thermal energy that is transferred from one system or item to another as a result of a temperature differential.

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The energy of a photon with a wavelength of 590 nm is \(3.36 * 10^-19\)

The energy of a photon can be calculated using the equation:

E = hc/λ

where E is the energy of the photon, h is Planck's constant \((6.626 * 10^-34 J.s)\), c is the speed of light\((3.00 * 10^8 m/s)\), and λ is the wavelength of the photon in meters.

To convert 590 nm (nanometers) to meters, we can use the conversion factor:

\(1 nm = 1 * 10^-9 m\)

So, \(590 nm = 590 * 10^-9 m\)

Plugging these values into the equation, we get:

E = \((6.626 * 10^-34 J.s * 3.00 * 10^8 m/s) / (590 * 10^-9 m)\)

E = \(3.36 * 10^-19 J\)

Therefore, the energy of a photon with a wavelength of 590 nm is \(3.36 * 10^-19\)

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Answer:

The name given to the underwater mountains in the middle of oceans is;

Mid-ocean ridges

Explanation:

Mid-ocean ridges, also known as mid-oceanic ridge is a mountain range made by plate tectonics under the water.

The magma created at a divergent boundary where two tectonic plates meet due to the rise of convection currents in the Earth's mantle which is beneath the oceanic crust results in the uplifting of the ocean floor.

The length of the second pendulum on earth is 1m and on the moon 1/6m.

Given:

The time period of a second pendulum T = 2s

By using the formula T = 2π √l/g we can calculate the length of the pendulum on earth and the moon.

Here g = acceleration due to gravity and

l = the length of the pendulum.

Now

l = g(T/ 2π)^2

l = 9.8 m/s^2(2s / 2 x 3.14)^2

le = 1 m

Now calculate the length of the pendulum on the moon

T =  2π √lm/gm      ∴ gm = ge/6

Now putting the value of g we get.

or 2 = 2 π √lm / ge/6

2 = 2 π √6lm / π ^2le

lm = le/6

now given le = 1m

lm = 1/6 m

Thus the length of the second pendulum on earth is 1m and on the moon 1/6m.

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Answer:

Explanation:

18 km / h

= 300 m / min

12 km / h = 200 m / min

distance travelled in 200 minutes = 300 x 200 = 60000 m

distance travelled in 50 minute in return journey = 200 x 50 = 10000 m

total distance travelled = 70000 m

total time = 250 minute

speed = 70000 / 250

= 280 m / min

= 16.8 km / h

Total displacement = 60000 - 10000 = 50000 m

total time = 250 min

velocity = 50000 / 250

= 200 m / min

= 12 km / h

False. The rule does not necessarily involve holding a compass in your right-hand.

The right-hand rule is a general principle used in physics and engineering to determine the direction of various vectors.

There are different variations of the right-hand rule, but the basic idea is to use your right hand to orient your fingers or thumb in a particular direction to determine the direction of a magnetic field, force, or other vector quantity.

Thus, the rule does not necessarily involve holding a compass in your right hand.

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Determine if the following statement is true or false. The right-hand rule states that you should always hold a compass in your right hand.