Really Need Help please worth 50 points Susie pushes a box to the left while Rod is pushing it to the right T force is shown in the image. What is the net force on the box? 25 N 10 N

A. 5N
B. 15N
C. 25N
D. 10N​

Really Need Help Please Worth 50 Points Susie Pushes A Box To The Left While Rod Is Pushing It To The

Answers

Answer 1

Answer:

Explanation:

Vector add the two forces

If we assume the forces lie on a unit circle

25cos180 + 10cos0 = -15 or 15cos180 N

The magnitude of -15 = |-15| = 15 N

Answer 2

The two forces acting from opposite directions will cancel each other in magnitude. The net force acting on the box is 15 N to the left.

What is force?

Force is an external agent acting on a body to deform it or to change its state of rest or motion. Force is a vector quantity and its characterised by its magnitude and direction.

If two forces acting on a body from the same directions, then the net force will be the sum of these two  forces. If these forces are acting from opposite directions, they will cancel each other in magnitude.

Here, 10 N is acting to right and 25 N to the left. Hence, the net force will be 25 -10 = 15 N to the right, because the greater force is to the right. Hence, option B is correct.

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Related Questions

Suppose a ball is thrown vertically upward (positive direction) from an initial height LaTeX: h_0 with initial velocity LaTeX: v_0. Find the position function LaTeX: s(t) of the ball after LaTeX: t seconds assuming the gravitational acceleration LaTeX: g is a positive constant pointing downward (negative direction).

Answers

After time t, the position function of the ball is determined as \(y(t) = h_0\ +\ v_0t \ - \ \frac{1}{2} gt^2\)

The given parameters;

initial velocity of the ball, = \(v_0\)initial position of the ball, = \(h_0\)acceleration due to gravity, = g

The position function of the ball after time t, is calculated as follows;

\(y(t) = h_0\ +\ v_0t \ - \ \frac{1}{2} gt^2\)

The negative sign of acceleration of due to gravity is because the ball is moving upward against gravity.

Thus, after time t, the position function of the ball is determined as \(y(t) = h_0\ +\ v_0t \ - \ \frac{1}{2} gt^2\)

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A 10.5 kg board 6.00 m long is
supported by two sawhorses, one at each end. A 4.45 kg saw sits on the board 1.80 m from the left end. Find the upward force that the LEFT sawhorse exerts on the board.

Answers

Answer: Omitting g for weigh because problem omits g

Taking torque about left sawhorse

Mr * 6 = 3 * 10.5 + 4.45 * 1.8 = 31.5 + 8.0 = 39.5

Mr = 39.5 / 6 = 6.60       mass exerted upward by right sawhorse

6.6 + Ml = 10.5 + 4.45      balancing upward and downward mass

Ml = 8.4 kg        upward force (kg) exerted by left sawhorse

Check: take torque about right end

8.4 *  6 = 3 * 10.5 + 4.45 * 4.2

50.4 = 31.5 + 18.7  = 50.2       balances within rounding error

The upward force that the left sawhorse exerts on the board is 164 N.

What is meant by torque ?

Torque is defined as the rotational analogue of force. It is the cross product of force and the perpendicular distance.

Here,

Mass of the board, m₁ = 10.5 kg

Length of the board, L = 6 m

Torque of the board, τ₁ = m₁g x r₁

    τ₁ = 10.5 x 9.8 x (6/2)

    τ₁ = 308.7 Nm

Mass of the saw, m₂ = 4.45 kg

Length of the saw, r₂ = 6 - 1.8 = 4.2 m

Torque of the saw, τ₂ = m₂g x r₂

    τ₂ = 4.45 x 9.8 x 4.2

    τ₂ = 183.2 Nm

So,

Torque on the left saw = Torque on the board + torque on the saw

τ' = 308.7 + 183.2

τ' = 491.9

Therefore force exerted by the left saw, F = τ'/(L/2) = 491.9/3

  F = 164 N

Hence,

The upward force that the left sawhorse exerts on the board is 164 N.

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At a sports car rally, a car starting from rest accelerates uniformly at a rate of 9.0m/s² over a straight-line distance of 100m. The time to beat is 4.5s.

a Does the driver do it?
b. If not, what must the acceleration be to do so?

Answers

Answer:

The driver does not do it. The acceleration must be greater than 9.0m/s² in order to beat the time of 4.5s. The acceleration must be calculated using the equation a = (d/t)², where a is the acceleration, d is the distance, and t is the time. In this case, a = (100/4.5)², which is equal to approximately 27.78m/s². Therefore, the acceleration must be greater than 27.78m/s² in order to beat the time of 4.5s.

Explanation:

The Last Problem (I think its 19 but honestly I've lost track) 20 pts
Below, draw the most complicated circuit you can where the voltage drop across the
battery is 6v and the current out of the battery is 5 milliAmps. You must use at least 6
resistors in a combination of series and parallel arrangements. The resistors must be of a
realistic value (no decimal points). Give me the value of the individual resistors so that the
total resistance is appropriate for the given current and voltage.

Answers

The exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

To determine the values of the resistors, we can use Ohm's Law:

Voltage (V) = Current (I) × Resistance (R)

Given that the voltage drop across the battery is 6V and the current out of the battery is 5mA (0.005A), we can calculate the total resistance:

Total Resistance (R_total) = Voltage (V) / Current (I)

R_total = 6V / 0.005A

R_total = 1200 Ω

Now, let's assign values to the individual resistors to achieve this total resistance:

R1 = 220 Ω

R2 = 470 Ω

R3 = 330 Ω

R4 = 680 Ω

R5 = 820 Ω

R6 = 350 Ω

With these values, the total resistance of the circuit would be:

R_total = R1 + (R2 || R3) + (R4 || R5) + R6

R_total = 220 Ω + (470 Ω || 330 Ω) + (680 Ω || 820 Ω) + 350 Ω

R_total ≈ 220 Ω + 214.8 Ω + 351.5 Ω + 350 Ω

R_total ≈ 1136.3 Ω

The slight deviation from the exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

Therefore, Here's a circuit diagram with six resistors in a combination of series and parallel arrangements to achieve a total resistance appropriate for a 6V battery and 5mA current:

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On July 4, 2005, the NASA spacecraft Deep Impact fired a projectile onto the surface of Comet Tempel 1. This comet is about 9.0 km across. Observations of surface debris released by the impact showed that dust with a speed as low as 1.0 m/s was able to escape the comet.

1. Assuming a spherical shape, what is the mass of this comet? ( The escape speed for an object at the surface of Earth is 11.2 km/s).

Express your answer using two significant figures.
M = ____________ kg
2. How far from the comet's center will this debris be when it has lost 60% of its initial kinetic energy at the surface?

Express your answer using two significant figures.
r = ____________ km

Answers

Answer:

1. M = 67,422,800,892,977.54 kg

2. r = 15 km

Explanation:

The diameter of the Comet Tempel 1, D = 9.0 km across

The speed with which the dust escapes = 1.0 m/s

1. The escape velocity, \(v_e\), is given by the following formula

\(v_e = \sqrt{\dfrac{2 \cdot G \cdot M}{R} }\)

Where;

G = The universal gravitational constant = 6.67430 × 10⁻¹¹ N·m²/kg²

\(v_e\) = The escape velocity of the debris = 1.0 m/s

M = The mass of the comet from where the debris escapes

From the escape velocity equation, we have;

\(M = \dfrac{v_e^2 \cdot R}{2 \cdot G}\)

Plugging in the values for the variables, we get the mass of the comet, 'M', as follows;

\(M = \dfrac{1.0^2 \times 9,000}{2 \cdot 6.67430 \times 10^{-11}} \approx 67,422,800,892,977.54 \, kg\)

The mass of the comet, M ≈ 67,422,800,892,977.54 kg

2. When the debris has lost 60% of its initial kinetic energy, we have;

\(60\% \, K.E. = 0.6\cdot K.E. = 0.6 \times \dfrac{1}{2} \times m \times v_e^2 = \dfrac{G \cdot M \cdot m}{r}\)

\(\therefore \, The \ distance \ of \ debris \ from \ the \ center, \, r = \dfrac{G \cdot M }{0.6 \times \dfrac{1}{2} \times v_e^2 }\)

\(r = \dfrac{6.67430 \times 10^{-11} \times 67,422,800,892,977.54}{0.6 \times \dfrac{1}{2} \times 1^2 } = 15,000\)

When the debris has lost 60% of its initial kinetic energy, the distance the debris will be from the comet's center, r = 15,000 m = 15 km

an arrow is shot horizontally from the top of a tower at a speed of 15m/s and hits the ground with a speed of 25m/s. calculate the height of the tower

Answers

The height of the tower is 20.41 m.

To determine the height of the tower, we need to understand the concept of the energy conservation principle since the speed and acceleration due to gravity are involved in the system.

What is the energy conservation principle?

The principle of energy conservation lets us know that in an isolated system, energy can neither be created nor destroyed.

It can be expressed using the formula:

\(\mathbf{mgh = \dfrac{1}{2}mv_1^2 = \dfrac{1}{2}mv_2^2}\)

From the parameters given:The initial speed \(v_1\) = 15 m/sThe final speed \(v_2\)  = 25 m/s

By applying the energy conservation principle, we have:

\(\mathbf{gh +\dfrac{1}{2}v_1^2 = \dfrac{1}{2}v_2^2}\)

\(\mathbf{h = \dfrac{v_2^2- v_1^2 }{2 \times g}}\)

\(\mathbf{h = \dfrac{25^2-15^2 }{2 \times 9.8}}\)

h = 20.41 m

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How do the forces on a skydiver affect the velocity of the skydiver as they fall?


Hellp

Answers

Answer:

Explanation:

As a skydiver falls, he accelerates downwards, gaining speed with each second. The increase in speed is accompanied by an increase in air resistance. This force of air resistance counters the force of gravity.

When a skydiver falls, he constantly accelerates. Therby, falling faster and faster. But also he is slowed down a bit due to the force of air resistance.

it is the question 12 part okay​

it is the question 12 part okay

Answers

Answer:

Yeah it's ok I think. Also, I can't see the answer you gave so maybe updating the question would be nice.

So if you fall into icy water your gonna freeze that’s a given but you can stop it if you get out fast and get in a real hot bath and then get a towel on and you get Hypothermia because your body physically can’t take the cold so it decides to freeze your insides until your heart eventually just stops because it’s frozen.

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Customers take plates from the cart described above. As a result, the spring moves up to be compressed by
only 0.30 m. What is the change in elastic potential energy?

Answers

As the spring moves up to be compressed by only 0.30 m, the change in elastic potential energy will be 0.045 k J.

Elastic potential energy is the potential energy stored by stretching or compressing an elastic object by an external force such as the stretching of a spring.

Given,

The spring moves up to be compressed by a displacement = 0.30 m

And the elastic potential energy (U) for a spring can be calculated as:

\(U = \frac{1}{2} k x^{2}\)

Where k = spring constant and is measure in N/m

and x = change in length of the spring or the displacement of the spring

\(U = \frac{1}{2} k (0.30)^{2}\)

\(=\frac{1}{2} k (0.09)\)

\(=0.045 k\) J

Hence, the change in elastic potential energy is 0.045 k J.

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You're 6.0 m from one wall of a house. You want to toss a ball to your friend who is 6.0 m from the opposite wall. The throw and catch each occur 1.0 m above the ground.(Figure 1) Assume the overhang of the roof is negligible, so that you may assume the edge of the roof is 6.0 m from you and 6.0 m from your friend.
What minimum speed will allow the ball to clear the roof?
At what angle should you toss the ball?
Please explain for 5stars

Answers

The ball needs to go at least  speed is 13 m/s per second to be able to clear the ceiling.

angle should you toss the ball 46.26°.

From the query, we learn that

We are 6.0 metres away from one home wall.

who is 6.0 metres from the wall across from you.

Both the throw and the catch take place one metre above the ground.

Assume that you and your companion are both 6.0 metres from the edge of the roof.

The Newtons equation for the distance is typically expressed numerically as

\(s=v*t+\frac{a}{2}*t^{2}\\5=0*t+4.9*t^{2}\\t=1.04\)

Therefore

\(2*t = 2.0s\)

Where

\(18=V_{x} *2.0\\V_{x} =8.9\)

And

\(5=V_{y} *1.04-4.9*1.04^{2}\\V_{y} =9.8\)

Therefore

\(V=\sqrt{V_{y}^{2}+V_{x} ^{2} } \\V=\sqrt{(9.8)^{2}+(8.9)^{2}} \\\V=13m/s\)

In order to determine the angle at which you should toss the ball, you must first calculate the distance between you and your friend. This is done by using the Pythagorean Theorem to calculate the hypotenuse of the right triangle formed by the two walls and the distance between you and your friend:

\(C = \sqrt (6.0m)^2 + (6.0m)^2 \\ = 8.485m\)

Now you can calculate the angle using trigonometry. Since the triangle is a right triangle, you can use the inverse tangent function to calculate the angle:

tan⁻¹\((\frac{6.0m}{8.485m})\) = 46.26°

Therefore, you should toss the ball at an angle of 46.26°.

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In the drawing, what is the vector sum of forces A→+B→+C→ if each grid square is 7.00 N on a side? If the resultant is eastward, enter a positive value and if the resultant is westward, enter a negative value.

In the drawing, what is the vector sum of forces A+B+C if each grid square is 7.00 N on a side? If the

Answers

Answer:

resultant force = 14 N  ( East direction)

Explanation:

A = \(\sqrt{(4*7)^2 + (4*7)^2}\)

A = 39.6 N

B = 4 * 7

B = 28 N

C = 2 * 7

C = 14 N

∑ y forces = Ay - B = (4*7) - 28 = 0

∑ x forces = Ax - C = (4*7) - 14 = 14 N

so the resultant force = 14 N  ( East direction)

Answer:

resultant = 14 N to the right

Explanation:

A→+B→+C→

adding all forces acting on x

and

adding all forces acting on y

A = sqrt(4*7)^2 + (4*7)^2 = 39.6

B = 4 * 7 = 28

C = 2 * 7 = 14

forces acting on x = (4*7) - 28 = 0

forces acting on y = (4*7) - 14 = 14 N

so the resultant = 14 N to the right

a bus is about to leave in exactly 5 seconds. you are 20 meters away. how fast do you need to run to get to the bus? give your answer in m/s. round 2 significant figures

Answers

A bus is about to leave in exactly 5 seconds. You are 20 meters away. With a speed of 4 m/sec you will be able to catch the bus on time.

What do you understand by the term Distance, Speed and Time?

By dividing the distance traveled by the time required to complete that distance, speed is calculated. For a specific distance, it provides the travel time / distance.

Speed and distance are tightly related, whereas time and distance have an inverse relationship. Speed times the passing of time equals distance.

Distance divided by speed is how time is calculated; as speed rises, time slows down, and vice versa.

What is the calculation for the above problem?

Given

Time = 5 secs

Distance = 20 m

On putting the values in the given formula we get,

Speed = Distance / Time

Speed = 20 m / 5 secs

Speed = 4 m/secs

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Two cars collide head-on and stick together.
Car A, with a mass of 2000 kg, was initially
moving at a velocity of 10 m/s to the east. Car
B, with an unknown mass, was initially at rest.
After the collision, both cars move together at
a velocity of 5 m/s to the west. What is the
mass of Car B?
OF

Answers

The mass of Car B is -6000 kg.

To solve this problem, we can apply the principle of conservation of momentum, which states that the total momentum before the collision is equal to the total momentum after the collision.

Therefore, we can write the equation for the conservation of momentum as:

(mass of Car A * velocity of Car A) + (mass of Car B * velocity of Car B) = (mass of Car A + mass of Car B) * velocity after collision

Let's substitute the given values into the equation:

(2000 kg * 10 m/s) + (mass of Car B * 0 m/s) = (2000 kg + mass of Car B) * (-5 m/s)

Simplifying the equation:

20000 kg*m/s = -5 m/s * (2000 kg + mass of Car B)

Dividing both sides by -5 m/s:

-4000 kg = 2000 kg + mass of Car B

Subtracting 2000 kg from both sides:

mass of Car B = -4000 kg - 2000 kg

mass of Car B = -6000 kg

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A cyclist is riding his bike up a mountain trail. When he starts up the trail, he is going 8 m/s. As the trail gets steeper, he slows to 3 m/s in 1 minute. What is the cyclist’s acceleration?

Answers

Answer:

\(\boxed {\boxed {\sf a\approx -0.08 \ m/s^2}}\)

Explanation:

Acceleration can be found by dividing the change in velocity by the time.

\(a=\frac{v_f-v_i}{t}\)

The final velocity is 3 meters per second. The initial velocity is 8 meters per second.

We need to convert the time to seconds.

t= 1 minute 60 seconds = 1 minute t=60 seconds

So, we know that:

\(v_f=3 \ m/s \\v_i= 8 \ m/s\\t= 60 \ s\)

Substitute the values into the formula.

\(a=\frac{3 \ m/s - 8 \ m/s}{60 \ s}\)

Solve the numerator.

3 m/s - 8 m/s = -5 m/s

\(a=\frac{-5 \ m/s}{60 \ s}\)

Divide.

\(a=-0.0833333333 \ m/s/s\)

Let's round to the nearest hundredth.

The 3 in the thousandth place tells us to leave the 8 in the hundredth place.

\(a\approx -0.08 \ m/s^2\)

The cyclist's acceleration is about \(\boxed {-0.08 m/s^2}\)

Relate Bernoulli's principle to the sport of your choice.​

Answers

Answer:

Daniel Bernoulli – a Swiss physicist and mathematician – discovered that for an inviscid flow of a non-conducting fluid, an increase in the speed of the fluid occurs simultaneously with a decrease in pressure or a decrease in the fluid’s potential energy. * This is known as the Bernoulli Principle.The Bernoulli principle can also be used to describe a downward lift force, such as that required by speed skiers, cyclists and racing cars. The car, bike and skis need to be pushed down into the ground so a greater frictional force is created

Explanation:

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Two tiny objects with equal charges of 7.25 μC are placed at the two lower corners of a square with sides of 0.201 m, as shown.


Find the electric field at point B, midway between the upper left and right corners. If the direction of the electric field is upward, enter a positive value. If the direction of the electric field is downward, enter a negative value. answer in N/C

Two tiny objects with equal charges of 7.25 C are placed at the two lower corners of a square with sides

Answers

The electric field at point B, located at the midpoint between the upper left and right corners of the square, can be approximated as 3.244 x \(10^6\) N/C in the upward direction.

To find the electric field at point B, we can consider the contributions from the two charges placed at the lower corners of the square. Since the charges are the same and the distance to point B is the same for both charges, the magnitudes of the electric fields produced by each charge will be equal.

First, let's calculate the magnitude of the electric field produced by one of the charges at point B using Coulomb's Law:

Electric field due to a point charge (E) = (k * q) / \(r^2\)

Where:

- k is the electrostatic constant, approximately equal to 8.99 x 10^9 \(10^9\)N \(m^2/C^2\)

- q is the charge of the object, 7.25 μC (7.25 x \(10^-^6\) C)

- r is the distance from the charge to point B, which is half the length of the square's side, 0.201 m / 2 = 0.1005 m

Plugging in the values, we have:

E = (8.99 x \(10^9 N m^2/C^2\) * 7.25 x \(10^-^6\) C) / (0.1005 \(m)^2\)

E ≈ 1.622 x \(10^6\) N/C

Since the electric fields from the two charges at the lower corners have equal magnitudes and point in the same direction (upward), the total electric field at point B is twice the magnitude of the individual electric field:

Electric field at point B = 2 * E ≈ 2 * 1.622 x \(10^6\) N/C

Electric field at point B ≈ 3.244 x \(10^6\) N/C

Therefore, the electric field at point B, midway between the upper left and right corners of the square, is approximately 3.244 x \(10^6\)N/C upward.

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A 385-g tile hangs from one end of a string that goes over a pulley with a moment of inertia of 0.0125 kg ⋅ m2 and a radius of 15.0 cm. A mass of 710 g hangs from the other end of the string. When the tiles are released, the larger one accelerates downward while the lighter one accelerates upward. The pulley has no friction in its axle and turns without the string slipping. What is the tension in the string on the side of the 710-g tile?

Answers

Answer:

the tension in the string is 5.59 N

Explanation:

Here ,

m_1 = 0.385 Kg

m_2 = 0.710 Kg

Using second law of motion ,

a = F_net / effective mass

a = (0.710- 0.385)×9.8/(0.710 + 0.385 + 0.0125/0.15^2)

a = 1.93 m/s^2

Now , let tension be T ,

then,

mg-T=ma

0.710×g - T = 0.710×1.93

T = 5.59 N

the tension in the string is 5.59 N

Although planets orbit the Sun in ellipses, all the planetary orbits are fairly close to circular and not very eccentric.


True
False

Answers

Answer:

False

Explanation:

The Sun rotates in this same, right-hand-rule direction. All planetary orbits lie in nearly the same plane. All planetary orbits are nearly circular (eccentricity near zero).

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Mass
7. If the mass of the diver is 75 kg. What is the height he jumped
from?

Answers

Answer:

The height from which the diver jumped can be calculated using the laws of motion and the principle of conservation of energy.

Let's assume that the diver jumped from a platform with an initial velocity of zero. The potential energy (PE) of the diver at the top of the platform is given by:

PE = mgh

Where m is the mass of the diver, g is the acceleration due to gravity (9.8 m/s^2), and h is the height from which the diver jumped.

When the diver jumps, the potential energy is converted into kinetic energy (KE) as the diver moves downwards. The kinetic energy of the diver just before hitting the water is given by:

KE = (1/2)mv^2

Where v is the velocity of the diver just before hitting the water.

According to the principle of conservation of energy, the potential energy at the top of the platform is equal to the kinetic energy just before hitting the water. Therefore, we can equate the two equations above and solve for h:

mgh = (1/2)mv^2

h = (1/2)v^2/g

We need to find the value of v to calculate h. We can use the kinematic equation:

v^2 = u^2 + 2as

Where u is the initial velocity (which is zero in this case), a is the acceleration due to gravity (9.8 m/s^2), and s is the distance travelled by the diver (which is equal to h).

Substituting the values, we get:

v^2 = 2gh

v^2 = 2 * 9.8 * h

v^2 = 19.6h

Therefore:

h = v^2/(19.6)

Now, let's assume that the velocity of the diver just before hitting the water was 10 m/s (a reasonable value for a diving competition). Then:

h = (10^2)/(2*9.8) = 51 meters

Therefore, the height from which the diver jumped is approximately 51 meters.

Trawler A is 40km west of Another Trawler B. Trawler A sets off at 20km On a Force of 60°. If Trawler B Can travel at 25km. What course should Trawler B Pass to Intercept Trawler A.​

Answers

Answer:

Trawler B should set off on a course of 120°.

Trawler A is traveling at 20km/h on a bearing of 60°. This means that Trawler A is traveling north-east. Trawler B is traveling at 25km/h. In order to intercept Trawler A, Trawler B must travel on a bearing of 120°. This means that Trawler B must travel south-east.

The two trawlers will eventually meet at a point that is 40km east of Trawler A's starting position and 20km north of Trawler B's starting position.

Scientific theories are deductive in nature.?


Answers

Answer:

deductive reasoning usually follows steps .

That is, how we predict what the observations should be if the theory were correct

A 65kg ice skater traveling at 6.0 m/a right runs head-on into an 85 kg ice skater traveling left at 4.5 m/s. At what speed and in what direction do the ice skaters travel if they move together after the collision?

Answers

Use the Law of Conservation of Linear Momentum to analyze this situation, according to which the total linear momentum of the system formed by the two skaters must be the same before and after the collision:

\(p_i=p_f\)

The linear momentum p of a body with mass m and velocity v is:

\(\vec{p}=m\vec{v}\)

If we consider the right direction as positive and the left direction as negative, then, the linear momentum of the 65kg ice skater is:

\(p_{65\operatorname{kg}}=(65\operatorname{kg})(6.0\frac{m}{s})=390\operatorname{kg}\cdot\frac{m}{s}\)

The linear momentum of the 85kg ice skater is:

\(p_{85\operatorname{kg}}=(85\operatorname{kg})(-4.5\frac{m}{s})=-382.5\operatorname{kg}\cdot\frac{m}{s}\)

Then, the total linear momentum before the collision, is:

\(\begin{gathered} p_i=p_{65\operatorname{kg}}+p_{85\operatorname{kg}} \\ =390\operatorname{kg}\cdot\frac{m}{s}-382.5\operatorname{kg}\cdot\frac{m}{s} \\ =7.5\operatorname{kg}\cdot\frac{m}{s} \end{gathered}\)

The linear momentum of both ice skaters together after the collision, is equal to the product of their combined masses and their unknown speed v. Then:

\(\begin{gathered} p_f=(65\operatorname{kg}+85\operatorname{kg})\cdot v \\ =(150\operatorname{kg})\cdot v \end{gathered}\)

Using the Law of Conservation of Linear Momentum:

\((150\operatorname{kg})v=7.5\operatorname{kg}\cdot\frac{m}{s}\)

Divide by 150kg to isolate the speed v:

\(v=\frac{7.5\operatorname{kg}\cdot\frac{m}{s}}{150\operatorname{kg}}=0.05\frac{m}{s}\)

Since the velocity is positive, then the ice skaters are moving to the right.

Therefore, the speed of the ice skaters after the collision is 0.05 m/s, and they are moving to the right.

Select the best answer for the question.
7. What is the amount of MMF generated by a 50-turn electromagnetic coil supplied by 12 VDC at a current of 1 ampere?
O A. 50 ampere-turns
B. 38 ampere-turns
C. 12 ampere-turns
D. 600 ampere-turns

Answers

The correct answer is 600 ampere-turns

We shall first get the expression that provides the magnetomotive force. It is calculated by multiplying the number of spins on the wire by the current flowing through it. To get the solution, we shall alter and substitute the necessary values.

It is crucial to keep in mind that magnetomotive force (mmf), which is similar to electromotive force (emf), drives a current of electrical charge through magnetic circuits. The phrase "magnetomotive force" is deceptive, though, as it neither denotes a force nor something that moves.

M.M.F = NI

N= 50

I = 12 at a current of 1 ampere

M.M.F = NI

= 50 × 12

=600 ampere-turns

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General Questions: A person is using a rope to lower a 5.0-N bucket into a well with a constant speed of 2.0 m/s. What is the magnitude of the force exerted by the rope on the bucket

Answers

Answer:

The magnitude of the force exerted by the rope on the bucket is 5.0 N.

Explanation:

Given;

weight of the bucket, W = mg = 5.0 N

constant speed of the bucket, v = 2.0 m/s

Apply Newton's second law of motion to determine the force exerted by the rope on the bucket;

T = mg - ma

where;

T is the tension on the rope which is the force exerted by the rope on the bucket

a is the acceleration of the bucket = 0, since the speed is constant

T = m(g-a)

T = m(g -0)

T = mg

T = mg = 5.0 N

Therefore, the magnitude of the force exerted by the rope on the bucket is 5.0 N.

Masses m and 2m are joined by a light inextensible string which runs without slipping over a uniform circular pulley of mass 2m and radius a. Using the angular position of the pulley as generalized coordinate, write down the Lagrangian function and Lagrange's equation. Find the acceleration of the masses.​

Masses m and 2m are joined by a light inextensible string which runs without slipping over a uniform

Answers

Answer:   the acceleration of the masses is given by = 0, which means the angular acceleration of the pulley is zero. This implies that the masses m and 2m move with constant velocity,  they are in equilibrium.

28. In 1.2 s, 52 wave crests spaced 0.12 m apart pass a location. What is the frequency of these waves?
f=
Hz
Round your answer to the nearest thousandth if necessary.

Answers

Frequency = (number of waves) / (time)

(52waves) / (1.2 sec) = 43.333 Hz.

Trace the decay of U-238 to Ra-226 as shown in Figure 39.15 in the textFigure out what particles must be emitted in each step, and write the reaction for that step in terms of symbols

Answers

The reaction equations for the steps involved in the decay of U-238 to Ra-226 are;

\(^{238}_{92}U\ \rightarrow \ ^{234}_{90}Th \ + \ ^{4}_{2}He\)

\(^{234}_{90}Th \ \rightarrow \ ^{230}_{88}Ra \ + \ ^{4}_{2}He\)

\(^{230}_{88}Ra \ \rightarrow \ ^{226}_{86}Ra \ + \ ^{4}_{2}He\)

What is the radioactive equation for the decay of U-238?

The radioactive equation for the decay of U-238 to Ra-226 is calculated as follows;

First the uranium atom (U-238) will decay thorium by emitting alpha particle as shown in the equation below;

\(^{238}_{92}U\ \rightarrow \ ^{234}_{90}Th \ + \ ^{4}_{2}He\)

The second stage is, the thorium will decay to radium by emitting alpha particles again as shown below;

\(^{234}_{90}Th \ \rightarrow \ ^{230}_{88}Ra \ + \ ^{4}_{2}He\)

The third, and final stage, the radium will decay to an isotope of radium again, by emitting alpha particle as shown below;

\(^{230}_{88}Ra \ \rightarrow \ ^{226}_{86}Ra \ + \ ^{4}_{2}He\)

Thus, the reaction equations for the steps involved in the decay of U-238 to Ra-226 are;

\(^{238}_{92}U\ \rightarrow \ ^{234}_{90}Th \ + \ ^{4}_{2}He\)

\(^{234}_{90}Th \ \rightarrow \ ^{230}_{88}Ra \ + \ ^{4}_{2}He\)

\(^{230}_{88}Ra \ \rightarrow \ ^{226}_{86}Ra \ + \ ^{4}_{2}He\)

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Trace the decay of U-238 to Ra-226 as shown in Figure 39.15 in the textFigure out what particles must

Two charged objects, A and B, are exerting an electric force on each other. What will happen if the charge on A is increased?
А. The charge on B will decrease.
В. The charge on B will increase.
C. The electric force between A and B will decrease.
D. The electric force between A and B will increase.

Answers

Answer: The forces acting on both of them will increase in magnitude.

Explanation:

According to Coulomb's law, the electrostatic force between two bodies is proportional to the product of their two charges. If the charge on A is increased this product increases in size (it must have been non-zero to begin with, since there was a force between them at first). Thus, the force between them rises.

Answer:

d. seems like the right answer.

Explanation:

A sailboat took 25 hours to cover 1/4 of a journey. Then, it
covered the remaining 144 miles in 3.5 hours. What was the
average speed for the whole journey?
mph

Answers

Answer:

32

Explanation:

The average speed of the car for the remaining is  32 miles/h.

What is average speed?

The average speed of any moving object is the ratio of the total distance covered and the total time taken to cover that distance.

Average Speed S= distance /time

Given is a sailboat took 2.5 hours to cover 1/4 of a journey. Then, it covered the remaining 144 miles in 3.5 hours.

If x be the total distance covered during journey, then

3/4 x = 144

x = 192 miles

The total time taken for journey is 2.5 +3.5 = 6 h

The average speed for the whole journey is

Avg speed S= 192 / 6

S = 32 miles/h

Thus, the average speed of the car for the remaining is  32 miles/h.

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How can we have a legitimate criminal justice system if there are no mutually agreed-upon standards of conduct?

Answers

It's impossible to have a legitimate criminal justice system if there are no

mutually agreed-upon standards of conduct.

What is Justice system?

justice system are the institutions set up by  the government to ensure

crime is reduced by punishing offenders and ensuring fair hearing is given

to the accused.

In a situation where there are no mutually agreed-upon standards of

conduct, it can lead to anarchy and a lot of conflicts in the area.

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