In a warehouse, the workers sometimes slide boxes along the floor to move them. Two boxes were sliding toward each other and crashed. The crash caused both boxes to change speed. Based on the information in the diagram, which statement is correct? In your answer, explain what the forces were like and why the boxes changed speed.
Box 1 has more mass than Box 2.
Box 1 and Box 2 are the same mass.
Box 1 has less mass than Box 2.
**YOU MUST BE DESCRIPTIVE! Any short answers not explaining it wont get brainliest!**
Answers
Answer:
box 1 has larger mass than box 2 (which agrees with the first answer option given.
Explanation:
We need to consider the linear momentum of the boxes immediately before and after they crash.
Recall that momentum is defined as mass times velocity.
So for before the collision, the linear momentum of the system of two boxes is:
m1 * 4km/h - m2 * 8km/h
with m1 representing mass "1" on the left, and m2 representing mass 2 on the right.
Notice the sign of the linear momentum (one positive (moving towards the right) and the other one negative (moving towards the left)
For after the collision, we have or the linear momentum of the system:
- m1 * 2km/h - m2 * 1km/h
Then, since the linear momentum is conserved in the collision, we make the initial momentum equal the final and study the mass relationship between m1 and m2:
4 m1 - 8 m2 = - 2 m1 - m2
combining like terms for each mas on one side and another of the equal sign, we get;
4 m1 + 2 m1 = 8 m2 - m2
6 m1 = 7 m2
therefore m1 = (7/6) m2
which (since 7/6 is a number larger than one) tells us that m1 is larger than m2 by a factor of 7/6
Therefore, the first answer option is the correct answer.
Related Questions
In your business plan, the target market section should clearly identify_____market(s).
A. Both your primary and secondary
B. primary
C. demographic
D. secondary
Answers
In your business plan, the target market section should clearly identify both your primary and secondary market(s). The market analysis is basically the target market section of your business plan. It is a thorough examination of the ideal people to whom you intend to sell your products or services.
A pelican flying along a horizontal path drops
a fish from a height of 5.0 m. The fish travels
8.9 m horizontally before it hits the water
below.
What was the pelican’s initial speed? The
acceleration of gravity is 9.81 m/s
(I GOT 8.734 ,/s which was CORRECT. now I am stuck on part 2).
_______________________________________
PART 2: If the pelican was traveling at the same speed
but was only 1.9 m above the water, how
far would the fish travel horizontally before
hitting the water below?
Answer in units of m.
(Numbers must not be rounded during the problem and the answer has to include 4 decimal places after such as 1.2345) Thx!
Answers
Answer:
The initial speed of the pelican is 8.81 m/s.
Explanation:
Given;
height of the pelican, h = 5.0 m
horizontal distance, X = 8.9 m
The time of flight is given by;
\(t = \sqrt{\frac{2h}{g} } \\\\t = \sqrt{\frac{2*5}{9.81} } \\\\t = 1.01 \ s\)
The initial horizontal speed of the pelican is given by;
X = vₓt
vₓ = X / t
vₓ = 8.9 / 1.01
vₓ = 8.81 m/s
Therefore, the initial speed of the pelican is 8.81 m/s.
a plane wall is 250mm thick and it's wall area is 4.5m^2. if the thermal conductivity is 9.35w/m°c and surface temperature are steady at 150°c and 40°c. calculate the heat flow across the plane wall and the temperature gradient in the flow direction
Answers
The temperature gradient in the flow of direction is 294525 W.
What is Temperature gradient?A temperature gradient is the gradual variance in temperature with distance. The slope of the gradient is consistent within a material. A gradient is established anytime two materials at different temperatures are in physical contact with each other.
Q= T/( L/ KA)
Q= ( 1500 − 450) / 0.15 / 9.35v * 4.35)
= 294525 W
Units of measure of temperature gradients are degrees per unit distance, such as °F per inch or °C per meter.
Many temperature gradients exist naturally, while others are created. The largest temperature gradient on Earth is the Earth itself. Q= T/Ka.
Therefore, The temperature gradient in the flow of direction is 294525 W.
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best answer gets brainliest!
Answers
Answer:
Both pairs have four pairs of perpendicular sides.
Explanation:
A rectangle and a square both have four right angles and four perpendicular lines.
Answer:
C
Explanation:
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While you are studying for an upcoming physics exam, a lightning storm is brewing outside your window. Suddenly, you see a tree across the street struck by lightning. There is a loud sound and you see smoke rising from various parts of the tree. You stop studying for your exam and do online research on lightning, trees, and sap. You find that a typical lightning bolt represents a potential difference of 1.00 ✕ 108 V between the cloud and the ground and that it can transfer a typical charge of 50.0 C between the cloud and the ground. Some models show that when a tree is hit by lightning, perhaps 2.00% of the energy in the lightning bolt can be delivered to the sap, causing it to boil. Model the sap as water initially at 30.0°C. If all of the sap in the tree is vaporized to gaseous sap at 100°C, determine how much sap (in kg) there is in the tree. (Use any necessary values found in this table or this table.)
Answers
The mass of sap in the tree is 96.2 kg
Electrical energy between the cloud and groundThe electrical energy between the cloud and ground is the energy stored in a capacitor W = 1/2QV where
Q = charge between cloud and ground = 50.0 C and V = potential difference between cloud and ground = 1.00 × 10⁸ V.So, W = 1/2QV
= 1/2 × 50.0 C × 1.00 × 10⁸ V
= 25.0 × 10⁸ J
Energy used to boil sapThe energy used to boil the sap from 30 °C to 100 °C and modelling the sap as water, is
E = mc(T' - T) + mL where
m = mass of sap, c = specific heat capacity of sap = 4200 J/kg-°C, T = initial temperature of sap = 30 °C, T' = final temperature of sap = 100 °C and L = latent heat of vaporization of sap = 226,000 J/kgMass of sapMaking m subject of the formula, we have
m = E/[c(T' - T) + L]
Now since energy the lightning bolt delivers to the sap is 2.00 %. So, E = 2.00 % W, we have that E = 0.02W
So, m = 0.02W/[c(T' - T) + L]
Substituting the values of the variables into the equation, we have
m = 0.02W/[c(T' - T) + L]
m = 0.02 × 25.0 × 10⁸ J/[4200 J/kg-°C(100 °C - 30 °C) + 226,000 J/kg]
m = 0.5.0 × 10⁸ J/[4200 J/kg-°C(70°C) + 226,000 J/kg]
m = 0.5 × 10⁸ J/[294000 J/kg + 226,000 J/kg]
m = 5 × 10⁷ J/520000 J/kg
m = 50 × 10⁶ J/0.52 × 10⁶ J/kg
m = 96.15 kg
m ≅ 96.2 kg
The mass of sap in the tree is 96.2 kg
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Before a collision, a 25 kg object is moving at 12 m/s to the right. After a collision with stationary box, the 25 kg object moves at 8 m/s to the right. What is the resulting momentum of the box?
Answers
The initial momentum of the 25 kg object is 25 kg * 12 m/s = 300 kgm/s. After the collision, the momentum of the 25 kg object is 25 kg * 8 m/s = 200 kgm/s. According to the conservation of momentum, the momentum lost by the 25 kg object is equal to the momentum gained by the box. Therefore, the resulting momentum of the box is 300 kgm/s - 200 kgm/s = 100 kg*m/s.
An ideal gas occupies 0.4 m3 at an absolute pressure of 500 kPa. What is the absolute pressure if the volume changes to 0.9 m3 and the temperature remains constant?
Answers
Answer:
2.22 kPaExplanation:
The new volume can be found by using the formula for Boyle's law which is
\(P_1V_1 = P_2V_2\)
Since we are finding the new volume
\(V_2 = \frac{P_1V_1}{P_2} \\\)
From the question we have
\(V_2 = \frac{0.4 \times 500000}{0.9} = \frac{200000}{0.9} \\ = 222222.2222... \\ = 222222\)
We have the final answer as
2.22 kPaHope this helps you
How is the acceleration of a falling object calculated
Answers
Answer:
F=w=ma OR by using equations of motions vf=vi-at : a=vf-vi/t eq 1 s=vit+1/2at squre eq 2 2as=vf squre - vi squre eq 3
Explanation:
where m is the mass of falling body , f is the weight is the force acting down ward , vf is the final velocity, vi is the inetial velocity , t is the time and s is the distance covered by a body.
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 process of making alloys involves pure metals to remove impurities. Then the pure metals are with other components.
Answers
The process of making alloys involves the use of pure metals to remove impurities and then combining the purified metals with other components to create a desired alloy with specific properties.
Alloys are metallic substances that are composed of two or more elements, with at least one of them being a metal. The process of making alloys typically involves several steps to ensure the desired composition and properties are achieved.Removing impurities: The first step in making alloys is to obtain pure metals. Pure metals are often extracted from ores and undergo processes such as smelting or refining to remove impurities. This purification step is important to ensure the resulting alloy has consistent properties.Composition determination: Once the pure metals are obtained, their composition is determined based on the desired alloy's characteristics. This involves considering factors such as strength, hardness, corrosion resistance, electrical conductivity, and other specific properties required for the intended application.Mixing and melting: The pure metals, along with other components or alloying elements, are mixed together in precise proportions. Alloying elements can be other metals or non-metals, such as carbon. The mixture is then heated to a high temperature to melt the metals and ensure uniform mixing.Homogenization: After melting, the alloy is typically subjected to a process called homogenization. This involves holding the molten alloy at a specific temperature for a period of time to allow for diffusion and ensure a consistent distribution of the alloying elements throughout the mixture.Cooling and solidification: Once the homogenization is complete, the molten alloy is cooled down. The cooling rate can influence the microstructure and properties of the alloy. Controlled cooling techniques may be employed to achieve specific characteristics, such as fine-grained structures or desired phase transformations.Further processing: The solidified alloy can undergo additional processes such as forging, rolling, extrusion, or heat treatment to further refine its properties and shape it into the desired final product.By following these steps, the process of making alloys ensures the removal of impurities from pure metals and the combination of those metals with other components to create alloys with specific properties suitable for various applications.For more such questions on Alloys, click on:
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All the questions are in the photos above. Thanks guys!
Answers
Answer:
right
Explanation:
A solid, homogeneous sphere with a mass of m0, a radius of r0 and a density of ρ0 is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same.
A)
The new sphere has a density of ρ = ρ0 and a mass of m < m0.
B)
The new sphere has a density of ρ = ρ0 and a radius of r > r0.
C)
The new sphere has a density of ρ < ρ0 and a mass of m = m0.
The options are r, f, and s. Rises, Falls, Stays the same.
Answers
Answer:
(a) f
(b) r
(c) s
Explanation:
There are two forces on the sphere: weight and buoyancy.
Sum of forces in the y direction:
∑F = ma
B − mg = 0
B = mg
Buoyancy is equal to the weight of the displaced fluid, or ρVg, where ρ is the density of the fluid and V is the displaced volume.
ρVg = mg
ρV = m
V = m/ρ
(a) The mass decreases, so the displaced volume decreases.
(b) The sphere's density is constant and its radius increases, which means its mass increases, so the displaced volume increases.
(c) The mass stays the same, so the displaced volume is the same.
A supply capsule w/ crew approaches a spy satellite at a relative speed of 0.250 m/s so as to dock. The astronauts will then repair said spy satellite. The supply capsule has a mass of 4000 kg, and the spy satellite has a mass of 7500kg. a. Calculate the final velocity (after docking) by using the frame of reference in which the Spy satellite appears to be originally at rest. b. What is the loss of kinetic energy in this inelastic collision
Answers
The final velocity and the loss of kinetic energy is mathematically given as
vf = 0.087 m/sL-K.E= 81.5 JWhat are the final velocity and the loss of kinetic energy?
Question Parameters:
Generally, the equation for the conservation of momentum is mathematically given as
m1v1 = m2v2
(7500 + 4000) * vf = 4000 * 0.250
vf = 0.087 m/s
b)
Generally, the equation for the loss of kinetic energy is mathematically given as
loss in kinetic energy = initial kinetic energy - final kinetic energy
Therefore
L-K.E= 0.50 * 4000 * 0.25^2 - 0.50 * (4000 + 7500) * 0.087^2
L-K.E= 81.5 J
In conclusion, the final velocity and the loss of kinetic energy
vf = 0.087 m/s
L-K.E= 81.5 J
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2. What does SCA stand for? (1 Point) Student Conservation Association h Securities Class Action Sudden Cardiac Arrest Solar Cell Array:',)
Answers
Answer:
sudden cardiac arrest
Explanation:
a 345 pf capacitor is charged to 145 v and then quickly connected to a 165 mh inductor. frequency of oscillation
Answers
A 165 mh inductor was attached right after that. The frequency of the oscillation is f=7957.74 Hz.
What is motion-induced oscillation?Periodic or oscillatory motion is defined as a motion that repeats itself. A restoring force or torque causes the object in this motion to oscillate about its equilibrium position.
For Class 8, what is an oscillation?Oscillation is a revolving motion between two states or locations. The side-to-side swing of a pendulum or the up-and-down motion of a spring with a weight are two examples of periodic motions that repeat themselves in a regular cycle and are considered oscillations.
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A 5kg box is sliding down a ramp with a rough surface as seen below. The height of the ramp is 20m and the distance the box travels down the ramp (from A to B) is 15m. At point A the velocity of the box is 8 m/s. If the velocity at point B is 3m/s, what was the impulse caused by friction? If the force of friction is 5N, how long did it take the box to slide the 15 m?
Answers
Answer:
A Impulse = – 25 Ns
B. Time = 5 s
Explanation:
From the question given above, the following data were obtained:
Mass (M) = 5 Kg
Initial velocity (u) = 8 m/s
Final velocity (v) = 3 m/s
Impulse (I) =?
Time (t) =?
A. Determination of the Impulse.
Mass (M) = 5 Kg
Initial velocity (u) = 8 m/s
Final velocity (v) = 3 m/s
Impulse (I) =?
I = Ft = M(v – u)
I = M(v – u)
I = 5 (3 – 8)
I = 5 × – 5
I = – 25 Ns
NOTE: the negative sign indicates that the net force is acting in the negative direction.
B. Determination of the time.
Impulse (I) = 25 Ns
Force (F) = 5 N
Time (t) =?
I = Ft
25 = 5 × t
Divide both side by 5
t = 25 / 5
t = 5 s
Thus, it will take 5 s for the box to slide through the 15 m long ramp.
Please help me
The photo shows the seeds of one dandelion. The seeds
are very light and can travel on the wind far away from the
dandelion plant.
Which three factors might keep some of the dandelion seeds from becoming
plants that produce their own seeds?
A. Animals that eat plants
B. The distance a seed travels
c. Other plants that block sunlight
D. Lack of adequate soil and water
Answers
Answer:
a c and d
Explanation:
A fire truck is responding to an emergency it accelerates from 0 to 66 km/hour in 11 seconds what is its rate of acceleration?
Answers
Answer:
\(a=1.67\frac{m}{s^2}\)
Explanation:
Hello,
In this case, since the acceleration is defined as the velocity change from final to initial divided by the time:
\(a=\frac{v_f-v_0}{t}\)
We obtain it with the proper units:
\(v_f=66\frac{km}{h} *\frac{1h}{3600s}*\frac{1000g}{1km}=18.3\frac{m}{s}\)
\(a=\frac{18.3\frac{m}{s} -0\frac{m}{s} }{11s} \\\\a=1.67\frac{m}{s^2}\)
Best regards.
I need 6 things to save energy or increase energy efficiency in any part of a house
Answers
Here are six things that can help save energy or increase energy efficiency in any part of a house:
Install energy-efficient light bulbs: Replace traditional incandescent light bulbs with energy-efficient LED light bulbs. LED bulbs consume less electricity and last much longer.
Use a programmable thermostat: Installing a programmable thermostat can help you control the temperature of your home more efficiently. You can set it to automatically lower the temperature when you're away from home or sleeping.
Air leaks should be sealed with weatherstripping or caulk around windows and doors. By doing so, you can keep your house more pleasant and prevent draughts.
Install ceiling fans: Ceiling fans can help circulate air and keep your home cool in the summer and warm in the winter. They use less energy than air conditioners or heaters.
Upgrade to energy-efficient appliances: When it's time to replace appliances, choose ones with an Energy Star label. These appliances are designed to use less energy and can help you save money on your energy bills.
Use power strips: Plug electronics and appliances into power strips, which can be turned off when not in use. This can prevent phantom energy use, which occurs when electronics and appliances continue to draw power even when turned off.
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Which diagram shows the resulting wave when they cross at point X?
A straight line.
A triangular crest.
A rectangular crest.
A triangular trough.
Answers
The resulting wave will have zero amplitude, thus it will form a straight line.
What is a crest?A crest is an upward displacement of a progressive wave.
What is a trough?A trough is a downward displacement of a progressive wave.
Superimposition of the two wavesWhen the two waves meet each other at point X, they will superimpose and cancel out since they have equal amplitude and are in opposite direction.
The resulting wave will have zero amplitude, thus it will form a straight line.
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what particle moves from one object to another so that the object is either positively charged or negatively charged
Answers
Answer:
electrons move causing the object to be positive or negative charged
What is the velocity of the 500-kg car after the collision?
-2.6 m/s
4.8 m/s
3.4 m/s
1.8 m/s
Answers
The velocity of the 500-kg car after the collision is 3.4 m/s. Option C.
How do we calculate for velocity?To find the velocity of the 500-kg car after the collision,
Momentum before collision = Momentum after collision
Before
500 kg × 5 m/s = 2500 kgm/s
400 kg × 2 m/s = 800 kgm/s
2500 kgm/s + 800 kgm/s
= 3300 kgm/s
After collision
500 kg × v m/s = 500v kgm/s
400 kg × 4.0 m/s = 1600 kgm/s
500v kgm/s + 1600 kgm/s = 3300 kgm/s
500v + 1600 = 3300
Solve for v:
500v = 3300 - 1600
500v = 1700
v = 1700 / 500
v = 3.4 m/s
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A stone is dropped off a cliff. After this stone has traveled a distance d . A second stone is dropped. the distance between the two stones will be?
A. Decrease at first then stay constant
B. Increase at first then stay constant
C. Increase
D. Decrease
E. Stay constant
Answers
Answer:
the same stones distance will be condtant .
so option no E
What kinds of materials generally have the lowest specific heats?
Answers
Answer:
Iron and lead generally have low specific heats.
HURRYYYYY, FASTTT, HELPPP What is the consequence of atoms being a singular closed system?
Atoms of a certain element contain a fixed amount of energy.
Atoms of a certain element can’t be altered by outside forces.
Atoms don’t interact with each other in any way.
Atoms decompose slowly over time as they lose energy.
1
Answers
Answer:
Atoms of a certain element contain a fixed amount of energy.
Explanation:
An atom can be defined as the smallest unit comprising of matter that forms all chemical elements. Thus, atoms are basically the building blocks of matters and as such defines the structure of a chemical element.
Generally, these atoms are typically made up of three distinct particles and these are protons, neutrons and electrons.
Additionally, all the physical properties of a mineral result from the mineral's internal arrangement of atoms.
The consequence of atoms being a singular closed system is that atoms of a certain element contain a fixed amount of energy because the number of protons, neutrons and electrons are in a fixed proportion.
9. Rob Colley set a record in “pole-sitting" when he spent 42 days in a barrel at the
top of a flagpole with a height of 43 m. Supposed a friend wanting to deliver an ice-
cream sandwich to Colley throws the ice cream straight up with just enough speed
to reach the barrel. How long does it take the ice-cream sandwich to reach the
barrel?
Answers
Answer:
3 sec
Explanation:
T=squareroot((2*-43)/-9.81)
Which of the following is a future consequence of using windmills for wind energy?
It can harm birds and species nearby.
Weather affects the quality of wind.
It produces less noise than other energy.
Wind cells are used in isolated locations.
Answers
The future consequence of using windmills for wind energy that is most closely related to the given options is: A) It can harm birds and species nearby. Option A
One of the potential consequences of using windmills for wind energy is the risk of harm to birds and other species. Wind turbines can pose a threat to birds, especially large raptors and migratory birds, as they can collide with the spinning turbine blades.
The fast-moving blades can cause injury or death to birds that come into contact with them. Additionally, the construction and operation of wind farms can disrupt wildlife habitats and migration patterns, impacting local ecosystems.
While weather can certainly affect the quality and consistency of wind energy generation (option B), it is not specifically a consequence of using windmills. Weather patterns and variations in wind speed and direction can influence the efficiency and reliability of wind turbines, but this is an inherent characteristic of wind energy rather than a consequence.
Option C states that wind energy produces less noise than other energy sources. This is a positive attribute of wind energy, as wind turbines generally generate less noise compared to other forms of power generation, such as fossil fuel power plants. However, it is not a future consequence but rather a benefit of wind energy.
Option D refers to wind cells being used in isolated locations. This statement is not related to the consequences of using windmills for wind energy but rather describes the potential use of wind cells (small-scale wind energy systems) in remote or isolated areas.
In summary, the most appropriate answer is A) It can harm birds and species nearby, as the impact on wildlife is a significant consideration in the development and operation of wind energy projects.
Option A.
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An object is placed at several different distances to the left of the lenses and mirrors (focal length = f). For each case, draw the 3 principal rays to locate the image and then (S.A.L.T.) [Size, Attitude, Location, Type] the image.
Answers
To determine the image characteristics using the 3 principal rays and SALTS (Size, Attitude, Location, Type), we'll consider both lenses and mirrors separately. Here's how you can analyze each case:
Lenses:
Place an object at different distances to the left of a lens with a focal length (f).
a) Object placed beyond 2f:
In this case, the object is placed far beyond twice the focal length of the lens.
Principal ray 1: A ray parallel to the principal axis will pass through the focal point on the opposite side.
Principal ray 2: A ray passing through the optical center will continue in a straight line without any deviation.
Principal ray 3: A ray passing through the focal point on the object side will emerge parallel to the principal axis.
The image will be formed on the opposite side of the lens, between the focal point and twice the focal length.
SALTS:
Size: The image will be smaller than the object.
Attitude: The image will be inverted.
Location: The image will be located between the focal point and twice the focal length.
Type: The image will be real.
b) Object placed at 2f:
In this case, the object is placed at twice the focal length of the lens.
Principal ray 1: A ray parallel to the principal axis will pass through the focal point on the opposite side.
Principal ray 2: A ray passing through the optical center will continue in a straight line without any deviation.
Principal ray 3: A ray passing through the focal point on the object side will emerge parallel to the principal axis.
The image will be formed on the opposite side of the lens at twice the focal length.
SALTS:
Size: The image will be the same size as the object.
Attitude: The image will be inverted.
Location: The image will be located at twice the focal length.
Type: The image will be real.
c) Object placed between f and 2f:
In this case, the object is placed between the focal point and twice the focal length of the lens.
In this case, the object is placed far beyond twice the focal length of the mirror.
Principal ray 1: A ray parallel to the principal axis will reflect through the focal point on the same side.
Principal ray 2: A ray passing through the focal point on the object side will reflect parallel to the principal axis.
Principal ray 3: A ray passing through the center of curvature will reflect back along the same path.
The image will be formed on the opposite side of the mirror, between the focal point and twice the focal length.
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A stuntman sitting on a tree limb wishes to drop vertically onto a horse galloping under the tree. The constant speed of the horse is 13.5 m/s, and the man is initially 3.55 m above the level of the saddle. Find a - What must be the horizontal distance between the saddle and limb when the man makes his move? Find b - How long is he in the air?
Answers
(a) the horizontal distance between the saddle and limb when the man makes his move is approximately 11.386 meters.
(b) the man is in the air for approximately 0.843 seconds.
To determine the horizontal distance between the saddle and limb when the man makes his move, we need to consider the horizontal velocity of the man when he drops from the tree limb.
Given:
Speed of the horse (constant velocity), v = 13.5 m/s
Vertical distance between the limb and saddle, h = 3.55 m
a) To find the horizontal distance, we can use the formula:
horizontal distance = horizontal velocity × time
Since the man drops vertically, his initial horizontal velocity is zero. The only horizontal velocity he will have is due to the motion of the horse.
The time taken by the man to fall can be determined using the equation for free fall:
h = (1/2) × g × t²
Where g is the acceleration due to gravity (approximately 9.8 m/s²) and t is the time.
Rearranging the equation, we get:
t = √(2h / g)
Substituting the given values:
t = √(2 × 3.55 / 9.8) ≈ 0.843 s
Now, we can find the horizontal distance:
horizontal distance = v × t
horizontal distance = 13.5 × 0.843 ≈ 11.386 m
Therefore, the horizontal distance between the saddle and limb when the man makes his move is approximately 11.386 meters.
b) The time the man is in the air can be calculated using the same equation for free fall:
t = √(2h / g)
Substituting the given value of h:
t = √(2 × 3.55 / 9.8) ≈ 0.843 s
Thus, the man is in the air for approximately 0.843 seconds.
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When the current through a circular loop is 5.7 A, the magnetic field at its center is 3.9 ✕ 10−4 T. What is the radius (in m) of the loop?
Answers
Radius of the circular loop is 0.0091m.
What is magnetic field?Magnetic field is the area around a magnet where the magnetism influence is felt .
What is the magnetic field at the centre of a circular loop?The formula for magnetic field at the centre of a loop isB =(μ)I/2r
where B= Magnetic field at the centre of a circular loopμ= Magnetic permeability =4(π)*10^(-7)
I= current flowing through the loop
r= radius of the loop
Thus, radius of the loop =(4(π)×10^(-7)×5.7)/(2×3.9×10^(-4))=0.0091m
Thus, we can conclude that the radius of the loop is 0.0091m .
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