A car of mass m going around a curve of radius r at constant speed v experiences a net force F. What is the net force on a truck of mass 5m traveling around a curve of radius 5r with constant speed 5v?

Answers

Answer 1

a Given that the mass of the truck is 5m, moves along a curve having radius of, 5r and the speed of the truck is 5v.

The formula of the net force is

\(F=\frac{mv^2}{r}\)

Here, m is the mass, v is the speed and r is the radius.

Substituting the values of a truck in the net force formula, we get

\(\begin{gathered} F=\frac{5m\times(5v)^2}{5r} \\ =\frac{25mv^2}{r} \end{gathered}\)


Related Questions

A seesaw is balanced on a pivot point. If a 20 kg child sits 1 meter from the pivot point, how far from the pivot point should a 40 kg child sit in order to balance the seesaw?​

Answers

Okay, here are the steps to solve this problem:

1) The seesaw is balanced when the sum of moments is 0.

2) The moment created by a force depends on the force and the perpendicular distance from the pivot point.

3) The 20 kg child sits 1 meter from the pivot. So its moment is 20 * 1 = 20 kg*m.

4) We want to find the distance for the 40 kg child to create a moment that balances the 20 kg child's moment.

5) So the moment of the 40 kg child must be 20 kg*m.

6) The moment depends on force and distance. We know the force is 40 kg.

7) So we set: 40 kg * distance = 20 kg*m

8) And solve for the distance: distance = 20 / 40 = 0.5 meters

Therefore, for the seesaw to balance with a 20 kg child 1 meter from the pivot and a 40 kg child on the other side, the 40 kg child should sit 0.5 meters from the pivot point.

Let me know if you have any other questions!

After coming down a slope, a 60-kg skier is coasting northward on a level, snowy surface at a constant 15 m>s. Her 5.0-kg cat, initially running southward at 3.8 m>s, leaps into her arms, and she catches it. (a) Determine the amount of kinetic energy converted to internal energy in the Earth reference frame. (b) What is the velocity, measured in the Earth reference frame, of an inertial reference frame in which the cat’s kinetic energy does not change?

Answers

The velocity, measured in the Earth reference frame, of an inertial reference frame in which the cat's kinetic energy does not change is equal to the velocity of the skier before the collision. The velocity of the skier before the collision is 15 m/s.

What is law of conservation of momentum?

According to the law of conservation of momentum, the total momentum before the collision must be equal to the total momentum after the collision. This can be expressed as m1*v1 + m2*v2 = (m1 + m2)*vf, where m1 and m2 are the masses of the skier and the cat respectively, v1 is the velocity of the skier, and vf is the velocity of the skier and the cat after the collision.

The kinetic energy converted to internal energy in the Earth reference frame can be determined by applying the law of conservation of momentum.

The amount of kinetic energy converted to internal energy can be calculated as follows:

m1*v1 = (m1 + m2)*vf

vf = (m1*v1)/(m1 + m2)

KE = (1/2)*m2*v2²

KE converted = KE initial - KE final

KE converted = (1/2)*m2*v2² - (1/2)*m2*((m1*v1)/(m1 + m2))²

KE converted = (1/2)*m2*v2² - (1/2)*m2*((60*15)/(60 + 5))²

KE converted = (1/2)*5*3.8² - (1/2)*5*(15²/65)

KE converted = 28.8 - 22.15

KE converted = 6.65 J

The velocity, measured in the Earth reference frame, of an inertial reference frame in which the cat's kinetic energy does not change is equal to the velocity of the skier before the collision.

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An electric heater uses 0,5 MJ when connected to a 220 V supply for 30 minutes. Calculate the power rating of the heater and the current drawn from the supply.

Answers

The power rating of the heater is 277.8 W and the current drawn from the supply is 0.07015mA.

The power is obtained from the ratio of work and time and the power is measured in watts(W). The current is defined as the flow of electrons in the circuit and it is measured in ampere(A).

From the given,

The energy of the electric heater = 0.5MJ = 0.5×10⁶ J

Voltage (V) = 220 V

time (t) = 30 minutes = 30×60 s = 1800 s.

To find power (P):

Power = Energy / Time

          = 0.5×10⁶ / 1800

          = 277.77 W

Power of the electric heater = 277.8 W

To find current from the given:

Power (P) = V×I×t

Current (I) = P/(V×t)

                = 277.8 / (220×1800)

               = 0.7015 mA

The current drawn from the supply is 0.7015 mA.

Hence, the power rating of the heater is 277.8 W and the current drawn from the supply is 0.7015 mA.

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Phoebe wants to measure the volume of a small, irregularly
shaped rock. Which of the following instruments would be best
for Phoebe to use?

Answers

Answer:

A graduated cylinder

Explanation:

**** WILL MARK BRAINLIEST TO WHOEVER ANSWERS FAST*****
Jupiter is approximately 5 times farther away from the Sun than Earth is. If you were on Jupiter and you looked back at the Sun, how would its brightness compare to its brightness on Earth? (show your work and your calculation).

Answers

Answer:

10 times less bright

Explanation:

If Earth is 5 times farthest from the sun and Jupiter is 5 times farther than Earth then 5+5 is 10 therefor the sun is not as bright leading to 10 times less brightness.

Mention 2 everyday applications each of conduction, convection and radiation​

Answers

Answer:

Conduction: Touching a stove and being burned. Ice cooling down your hand. .

Explanation:

All of the following are examples of environmental influences on personality except __________.
A.
parenting styles
B.
heredity traits
C.
family types
D.
life experiences

Answers

Answer: B

Explanation:

Its B. heredity traits

Maria read on an internet blog that infrared light is dangerous to humans. According to the blog, infrared light exposure is responsivle for a number of detrimental effects in humans. Which of these can actually be caused by exposure to infrared light?
a-overheating
b-skin cancer
c-radiation sickness
d-memory less

Answers

Of the options listed, the only effect that can be caused by exposure to infrared light is overheating (option a).

Infrared light is a form of electromagnetic radiation that is invisible to the human eye but can be detected as heat. When exposed to high levels of infrared light, such as in close proximity to a powerful infrared source, it can lead to overheating of the body or objects. Skin cancer (option b) is not directly caused by infrared light. It is primarily associated with overexposure to ultraviolet (UV) radiation from the sun or artificial sources like tanning beds. UV radiation falls in the higher energy range of the electromagnetic spectrum, while infrared radiation has lower energy. Radiation sickness (option c) is caused by exposure to high-energy ionizing radiation, such as gamma rays or X-rays. Infrared light does not possess enough energy to cause ionization and is therefore not capable of inducing radiation sickness. Memory loss (option d) is not a known effect of exposure to infrared light. Memory loss can be attributed to various factors, such as neurological conditions, head injuries, or aging, but not specifically to infrared light exposure. In summary, while exposure to high levels of infrared light can lead to overheating, it does not cause skin cancer, radiation sickness, or memory loss.

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Will give brainliest

Will give brainliest

Answers

Answer:

D

Explanation:

Think about like charges meaning the charge is the same.

Which only D has two charges and are the same, positive will repel against positive charge so select D.

Which color of light is produced by mixing red light and blue light?1) white light2) yellow light3) magenta light4) cyan light

Answers

According to the additive light model:

When red and blue light are mixed, magenta is produced.

Which color of light is produced by mixing red light and blue light?1) white light2) yellow light3) magenta

Exercise 24.28
For the capacitor network shown in (Figure 1), the potential difference across ab is 48 V.
Part A
Find the total charge stored in this network.
Express your answer with the appropriate units.
Q = ___ ____
Part B
Find the charge on the 150nF capacitor.
Express your answer with the appropriate units.
Q₁ = 7.2uC
Part C
Find the charge on the120nF capacitor.
Express your answer with the appropriate units.
Q₂ = 5.76 uC
Part D
Find the total energy stored in the network.
Express your answer with the appropriate units.
U = ____ ____
Part E
Find the energy stored in the 150nF capacitor.
Express your answer with the appropriate units.
U₁ = ______
Part F
Find the energy stored in the 120nF capacitor.
Express your answer with the appropriate units.
U₂= _____
Part G
Find the potential difference across the 150nF capacitor.
Express your answer with the appropriate units.
V₁= ____
Part H
Find the potential difference across the 150nF capacitor.
Express your answer with the appropriate units.
V₂ = ____

Exercise 24.28For the capacitor network shown in (Figure 1), the potential difference across ab is 48
Exercise 24.28For the capacitor network shown in (Figure 1), the potential difference across ab is 48
Exercise 24.28For the capacitor network shown in (Figure 1), the potential difference across ab is 48
Exercise 24.28For the capacitor network shown in (Figure 1), the potential difference across ab is 48

Answers

The evaluation of the capacitor (in series) network is as follows;

Part A

Q = 3.2 μC

Part B

Q₁ = 3.2 μC

Part C

Q₂ = 3.2 μC

Part D

U = 76.8 μJ

Part E

U₁ = 34 2/15 μJ

Part F

U₂ = 53 1/3 μJ

Part G

V₁ = 21 1/3 V

Part H

V₂ = 26 2/3 V

What is a capacitor?

A capacitor consists of pairs of conductors separated by insulators. Capacitors are used to store electric charge.

The specified parameters are;

The voltage across ab = 48 V

The capacitance of the first capacitor, C₁ = 150 nF

Capacitance of the second capacitor, C₂ = 120 nF

Part A

The total charge in a capacitor network can be found as follows;

\(C_{eq} = \left(\dfrac{1}{150} + \dfrac{1}{120} \right)^{-1} nF = \left(\dfrac{3}{200} \right)^{-1}nF\)

\(C_{eq} =\left(\dfrac{3}{200} \right)^{-1}nF=66\frac{2}{3} \, nF\)

\(Q_{eq} = C_{eq}\times V_{ab}\)

Therefore;

\(Q_{eq}\) = 66 2/3 nF × 48 V = 3,200 × 10⁻⁹ C = 3.2 μC

The total charge in the circuit is 3.2 μC

Part B

The charge in the 150 nF capacitor is obtained from the formula for the charge in a capacitor; Q = C × V as follows;

Q = C₁V₁ = C₂V₂

The charge in the capacitors, C₁ and C₂ are the same as the total charge of 3.2 μC

The charge, Q₁ on the 150 nF capacitor, C₁ is therefore, 3.2 nC

Q₁ = 3.2 nC

Part C

The capacitors, C₁ and C₂ are in series, therefore, the charge in each capacitor is equivalent to the charge in the circuit, which is 3.2 μC.

Therefore, the charge, Q₂, in the 120 nF capacitor, C₂ is 3.2 μC

Q₂ = 3.2 μF

Part D

The total energy stored in the network can be obtained using the formula;

U = (1/2)·C·V²

Where;

U = The energy in the capacitor

C = The equivalent capacitance of the network = 66 2/3 nF

V = The voltage

Therefore;

\(U = \dfrac{1}{2} \times C_{eq}\times V^2\)

\(U = \dfrac{1}{2} \times 66\frac{2}{3} \times 10^{-9}\times 48^2 = 76.8\)

The total energy in the circuit, U = 76.8 μJ

Part E

The energy stored in the 150 nF capacitor is found as follows;

\(Q_{eq}\) = Q₁ = C₁ × V₁

V₁ = \(Q_{eq}\) ÷ C₁

Therefore;

V₁ = 3.2 μC ÷ 150 nF = \(21\frac{1}{3}\) V

U₁ = 0.5×C₁×V₁²

U₁ = 0.5 × 150×10⁻⁹ × \(\left(21\frac{1}{3} \right)^2\) = 34\(\frac{2}{15}\) μJ

Part F

The energy stored in the 120 nF capacitor, U₂, can be found as follows;

V₂ = 3.2 μC ÷ 120 nF = \(26\frac{2}{3}\) V

U₂ = 0.5 × 150 nF × \(\left(26\frac{2}{3} \, V\right)^2\) = \(53\frac{1}{3}\, \mathrm{ \mu J}\)

The energy in the 120 nF capacitor is; U₂ = 53 1/3 μJ

Part G;

The potential difference across the 150 nF, obtained in Part E, is 21 1/3 V

V₁ = 21 1/3 V

Part H

The potential difference across the 120 nF, obtained in part F, is 26 2/3 V

V₂ = 26 2/3 V

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A 35.0 g bullet strikes a 5.3 kg stationary wooden block and embeds itself in the block. The block and bullet fly off together at 7.1 m/s. What was the original speed of the bullet? (WILL GIVE BRAINLIEST)​

Answers

Answer:

= 1200m/s or 1.2 x \(10^{3}\) m/s

Explanation:

A gas is cooled from 365 K to 285 K while its volume changes from 12.8 L to 9.9 L. The initial pressure of the gas is 1.9 atm. What is the final pressure of the gas, rounded to the nearest tenth? 1.3 atm 2.9 atm 1.9 atm 9.9 atm

Answers

Answer:1.9 atm

Explanation: I stole it from someone O-O

So it could be wrong

sorry by mistake btw what is a prism

Answers

Answer:

• A prism is a polygon and hedron like substance [ polyhedron ] with polygonal edges hence forming rectangular, rhombical or pallarelogramic surfaces.

• There are four prism types;

Reflecting prismsDispersion prismsDisplacement prismsRotation prisms.
sorry by mistake btw what is a prism
GEOMETRY
a solid geometric figure whose two ends are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms.
OPTICS
a glass or other transparent object in the form of a prism, especially one that is triangular with refracting surfaces at an acute angle with each other and that separates white light into a spectrum of colours.
used to refer to the clarification or distortion afforded by a particular viewpoint.
"they were forced to imagine the disaster through the prism of television"

ball is dropped from a height of 45 m on a floor. If at each collision with the floor the ball loses the nineteen percent of kinetic energy then the speed of the ball just after striking the floor second time, is (g = 10 m s–2)​

Answers

The speed of the ball just after striking the floor a second time, is 30.0 m/s.

Initial height (h) = 45 m

Acceleration due to gravity (g) = 10 m/s²

Energy loss per collision (k) = 19% = 0.19

At each collision with the floor, the ball loses 19% of its kinetic energy, which means the remaining kinetic energy is 81% (100% - 19%).

When the ball reaches the floor for the first time, it has converted all its potential energy into kinetic energy. So, the initial kinetic energy (K₁) is equal to the potential energy (PE) at the initial height:

K₁ = PE = mgh

Now, let's consider the ball's motion from the initial height to the first collision point. The ball undergoes free fall, so we can use the equations of motion:

h = (1/2)gt²

t = sqrt(2h/g)

Using this time, we can calculate the initial kinetic energy (K₁):

K₁ = mgh = m * 10 m/s² * 45 m

Since the ball loses 19% of its kinetic energy at each collision, the remaining kinetic energy is 81%:

K₂ = K₁ * 0.81

The ball then rebounds elastically from the floor, conserving both kinetic energy and speed. Therefore, the speed just after striking the floor for the second time (v₂) is equal to the speed just before the first collision (v₁):

v₂ = v₁

To find the speed just before the first collision (v₁), we can use the equation of motion:

v = gt

Substituting the time (t) we found earlier, we have:

v₁ = g * sqrt(2h/g)

Now, we can substitute the known values and calculate the speed just after striking the floor for the second time:

v₁ = 10 m/s² * sqrt(2 * 45 m / 10 m/s²)

v₂ = v₁

By evaluating the expression, we find:

v₁ ≈ 30.0 m/s

v₂ ≈ 30.0 m/s

Therefore, the speed of the ball just after striking the floor for the second time is 30.0 m/s.

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torque is same as: group of answer choices rate of change of angular momentum change in angular momentum angular momentum none of these

Answers

Torque is defined as the rate of change of angular momentum which is analogous to force.

Why torque is defined as the rate of change of angular momentum?

The rotating counterparts of force and momentum are torque and angular momentum. Similar to the relationship between force and momentum, there is a relationship between angular momentum and torque. Force is a particle's change in momentum. The shift in the particle's angular momentum is what causes torque.

Since the sum of all internal torques in any system is always zero, the net external torque on any system is often equal to the total torque on the system (this is the rotational equivalent of Newton's third law of motion).

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Mona said, "I think that, when there is no lid, convection is the main way that
energy escapes from the water."
Has she drawn a good conclusion from her results? Explain your ideas

Answers

Mona's conclusion that convection is the main way that energy escapes from the water when there is no lid may or may not be a good conclusion, depending on the context and information provided.

Convection is a process of heat transfer that involves the movement of fluids (in this case, the water) due to differences in temperature. It occurs when warmer portions of the fluid rise and cooler portions sink, creating a circulating flow.

To determine if Mona's conclusion is valid, additional information is needed. Factors such as the presence of other heat transfer mechanisms (such as radiation or evaporation), the specific setup of the experiment, and the conditions under which the observations were made are essential.

If Mona's experiment only considered convection as the primary mechanism for energy escape and excluded other factors, her conclusion might be incomplete or inaccurate. To draw a more comprehensive conclusion, it is necessary to consider other potential heat transfer mechanisms and perform further investigations or provide additional supporting data.

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which of the following is not a latent heat gain source

Answers

The pathway for you to be able is in your room you need

The half-life of a radioactive isotope is 210 d. How many days would it take for the decay rate of a sample of this isotope to fall to 0.58 of its initial rate?

Answers

It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.

2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.

3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.

4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.

5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.

6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".

7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).

8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).

9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.

10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.

11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).

12. Evaluating the expression, we find: t ≈ 546.

13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.

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5 description of non polar molecule and 5 polar molecule?

Answers

Answer:

Non- polar molecules does not have the charges present at the end due to the reason that electrons are finely distributed and those which symmetrically cancel out each other are the non- polar molecules.

In a solution, a polar molecule cannot be mixed with the non-polar molecule.For example, consider water and oil. In this solution, water is a polar molecule whereas oil behaves as a non-polar molecule. These two molecules do not form a solution as they cannot be mixed up.

what is the electric force between 2 forces .0042c and -0.0050c and are .0030m apart

Answers

To calculate the electric force between two charges, we can use Coulomb's law:

F = k * |q1 * q2| / r^2

where F is the electric force, k is the electrostatic constant (k ≈ 8.99 × 10^9 N m^2/C^2), q1 and q2 are the magnitudes of the charges, and r is the distance between the charges.

In this case, q1 = 0.0042 C, q2 = -0.0050 C, and r = 0.0030 m.

Substituting these values into the equation:

F = (8.99 × 10^9 N m^2/C^2) * |0.0042 C * (-0.0050 C)| / (0.0030 m)^2

F = (8.99 × 10^9 N m^2/C^2) * 0.000021 C^2 / 0.000009 m^2

F ≈ 1977.78 N

Therefore, the electric force between the two charges is approximately 1977.78 Newtons.

can you pls give a question about science. like why does the sky blue? PLS HELPPP ASAP ​

Answers

I can why do plants grow fast?

with the exception of a stationary rack single termpature machine, the temperature for the final sanitizing rinse in all other high-temperature dish machines must be at least _____

Answers

With the exception of a stationary rack single termpature machine, the temperature for the final sanitizing rinse in all other high-temperature dish machines must be at least 180 degree.

What is Stationary rack?

Electrical machines are generally replacing hydraulic and pneumatic actuators in the aircraft sector (more electric aircraft concept). Strong, portable generators that can run close to propulsion turbines could be a profitable development for the aircraft industry.

Numerous studies on compact systems with electrical machines and electronic components have been conducted recently. The project discussed in this paper focuses on the machine's design.

The hottest points of a Permanent Magnet Synchronous Machine (PMSM), which can operate in an environment as warm as 200°C, will be in the range of 450–500°C.

Therefore, With the exception of a stationary rack single termpature machine, the temperature for the final sanitizing rinse in all other high-temperature dish machines must be at least 180 degree.

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Which statement describes a climate condition?

Answers

There is no image and (or) text.... If it showed up or you fix this, I’ll be glad to help you!

Answer:

While there is no text here are some climate conditions you could go off of, tropical, dry, temperate, cold, and polar, hope this helps you with whatever your trying to do

Explanation:

You are sitting in your car at rest at a traffic light with a bicyclist at rest next to you in the adjoining bicycle lane. As soon as the traffic light turns green, your car speeds up from rest to 49.0 mi/h with constant acceleration 8.00 mi/h/s and thereafter moves with a constant speed of 49.0 mi/h. At the same time, the cyclist speeds up from rest to 21.0 mi/h with constant acceleration 14.00 mi/h/s and thereafter moves with a constant speed of 21.0 mi/h.

Required:
For what time interval (in s) after the light turned green is the bicycle ahead of your car?

Answers

Answer:

t = 4.34 s

Explanation:

To get this, we need to calculate the time of each part for both vehicles.

In the case of the bicycle, we can calculate the time duration with it's acceleration:

a = Vf - Vo/t ------> t = Vf - Vo / a

But Vo = 0 so time:

t = 21 / 14 = 1.5 s

Doing the same with the car:

t = 49 / 8 = 6.125 s

With these values of time, we can calculate the distance covered by both vehicles during acceleration:

X = Vo*t + at²/2

X = at² / 2

With the bicycle:

X = 14 * (1.5)² / 2 = 15.75 mi

With the car:

X = 8 * (1.5)² / 2 =  9 mi

And now, we can also get the speed of the car, after the time of 1.5 s has passed.

V = 8 * 1.5 = 12 mi/h

Now we can actually write an equation with both data of the vehicles in function of the distance. We are going to say that "t" would be the time taken by both vehicles, to meet each other.

Distance covered by the bicycle = distance covered by car

Distance covered by the bicycle would be:

15.75 mi + 21t

Distance covered by car:

9 + 12t + (8t²/2)

Equalling both expressions:

15.75 + 21t = 9 + 12t + 4t²

4t² - 9t - 6.75 = 0

Solving for t, using quadratic expressions we have:

t = 9 ± √(9)² + 4*4*6.75 / 2*4

t = 9 ±√189 / 8

t = 9 ± 13.75 / 8

t₁ = 2.84 s

t₂ = -0.594 s

We are taking the positive time.

Then, the time where both vehicles meet, which is the same time interval when the bicycle is ahead of the car will be:

t = 2.84 + 1.5

t = 4.34 s

Hope this helps

Describe the best way to identify the constellation Cassiopeia.

Please hurry!
I am giving Brainlyist
And to points

Answers

Answer:

look for the "W" in the North. Remember that, the "W" may be on its side or inverted to form an "M." If you can recognize the Big Dipper (Ursa Major), the two stars at the edge of the Dipper point toward the North Star (Polaris)

Explanation:

What is gravity? Pkz answer will mark brainliest.​

Answers

Answer:

the force that attracts a body toward the center of the earth, or toward any other physical body having mass.

Answer:

Answer in Explanation

Explanation:

Gravity is a force that attracts a body toward the center of the earth, or toward any other physical body having mass. Plz mark me brainliest....

Hendry throws an object vertically upwards at a velocity of 26,5 m⋅s-1 from the
edge of a cliff of height 120m. After some time, the projectile lands on the
ground below the cliff After 1 second, Cathy fires a second object upwards FROM THE
GROUND BELOW with a velocity of 45 m⋅s-1. Calculate the time and
distance will the two objects meet.

Answers

Hendry and Cathy will each throw an object, and the time and location at which they will collide can be determined using the laws of motion. Hendry's item had an initial velocity of 26.5 m/s, whereas Cathy's object had an initial velocity of 45 m/s. Hendry's object's equation of motion is given by: s = u*t + 0.5*a*t*2, where s is the displacement, u*t* is the starting velocity, t* is the time, and a*t* is the acceleration brought on by gravity.

The acceleration caused by gravity is negative since the item is being flung upward. The item that Cathy threw has the following equation of motion: s = u * t - 0.5 * a * t2.where s is the distance travelled, u is the starting speed, t is the passage of time, and an is the acceleration brought on by gravity. The acceleration caused by gravity is negative since the item is being flung upward.

These equations allow us to determine the location and timing of the two items' collision. By figuring out the two equations for t, one may determine the moment when the objects will collide. By changing the value of t in either equation, one may determine the distance at which the objects will collide. Therefore, using the equations of motion, it is possible to determine the moment and distance at which the two objects will collide.

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Jane (m=50kg) wants to save Tarzan (m= 80kg) who is standing in the middle of a ring of fire of 5.0 m diameter. Jane has a vine (conveniently attached to a branch right above Tarzan, at a height of 33 m above the ground. Jane holds onto the vine and climbs a tree, growing 16 m away from Tarzan, until she reaches a height of 5.3 m above the ground. She swings down and grabs Tarzan around his waist (1.0m above ground). If they let go of the vine when they reach their highest point, where will they land, relative to Tarzan's original position?

Answers

The height that will illustrate the distance will be d = 6.36m

How to calculate the height?

Based on the information given, the length of the vine will be:

L = ✓(16² + 27.7)²

L = 32m

The velocity of Jane when she reaches position B will be:

V = ✓2gh

V = ✓(2 × 9.8 × 4.3)

V = 9.18m/s

We will apply the conversation of momentum. This will be:

50 × 9.18 = (50 + 80)V1

V1 = 3.53m/s

Therefore, the height that will illustrate the distance will be:

31.36² + d² = 32²

d² = 32² - 31.36²

d = 6.36m

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The drawing shows four situations in which two very long wires are carrying the samecurrent, although the direction of the currents may be different. The point P in the drawings is equidistant from each wire. Which one (or more) of these situations gives rise to a zero net magnetic field at P?​

The drawing shows four situations in which two very long wires are carrying the samecurrent, although

Answers

Situation (a) results in a zero net magnetic field at point P. Option 1 is correct.

In situation (a), the two wires are carrying currents in opposite directions. At point P, the magnetic field due to one wire will be in the opposite direction of the magnetic field due to the other wire. Since the two fields are equal in magnitude and opposite in direction, they cancel each other out, resulting in a net magnetic field of zero at point P.

In situations (b), (c), and (d), the currents are either in the same direction or the wires are at different distances from point P. In these situations, the magnetic fields due to the wires do not cancel each other out at point P, resulting in a nonzero net magnetic field. Therefore, only situation (a) gives rise to a zero net magnetic field at point P. Option 1 is correct.

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