A 0. 0850-kg arrow is fired horizontally. If the bowstring exerts an average force of 89. 0 n on the arrow over a distance of 0. 782 m, with what speed does the arrow leave the bow?.

Answers

Answer 1

40.47 m/s is the speed of the arrow leaving the bow. When 0.0850 kg arrow fired horizontally, and If bowstring exerts average force of 89.0 N on the arrow over distance of 0. 782 m.

What is velocity?

The primary indicator of object's position and speed is its velocity. It is distance that object travels in one unit of time. Displacement of item in one unit of time is definition of velocity.

By Newton's second law of motion,

F = ma

m is the mass of the arrow (kg) = 0.0850 kg

a is the acceleration of the arrow (m/s²)

F is the force applied (N) = 89.0 N

F= ma

a = F/m

a = 89.0/ 0.0850

∴ a= 1,047.059 m/s²

Now, object have acceleration, and the object will move in non-uniform motion. so the formula applied is:

[tex]v_{t}[/tex] = [tex]v_{0}[/tex] + at

[tex]v_{t}^{2}[/tex] = [tex]v_{0}^{2}[/tex] + 2×a×d

∴ d = [tex]v_{0}[/tex]×t +1/2× a ×t²

here,

[tex]v_{0}[/tex] = initial speed (m/s) = 0 m/s (arrow stationary in bowstring)

[tex]v_{t}[/tex] = final speed (m/s)

a = acceleration (m/s²) = 1,047.059 m/s²

t = interval (s)

d = distance (m) = 0.782 m

[tex]v_{t}^{2}[/tex] = [tex]v_{0}^{2}[/tex] + 2×a×d

[tex]v_{t}^{2}[/tex] = 0² + 2 × 1,047.059 × 0.782

 [tex]v_{t}^{2}[/tex] = 1637.6

[tex]v_{t}[/tex] = [tex]\sqrt{1637.6}[/tex]

[tex]v_{t}[/tex] = 40.47 m/s

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Related Questions

an obstruction is just ahead on the shoulder. your front wheel leaves the roadway at high speed. when do you countersteer?

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An obstruction is just ahead on the shoulder. Your front wheel leaves the roadway at a high speed. You countersteer when the front tire touches the roadway.

Countersteer is usually done by the cyclists and motorcyclists to turn at higher speeds. It is advisable to be done only on the race tracks. This is because the two wheels do not follow the same path during turning and it may affect other vehicles on normal roads. The rider must be leaned in the direction of turn in order to complete the turn. As the front wheel leaves at a higher speed, countersteering is done when the front wheel touches the ground.

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How do you calculate this?

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Answer: Find the right angle degree and then you will find ow to do the rest.

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Answer: The rods both have the same charge therefore they repel each other.  The force of repulsion creates a downward force on the balance pan and therefore the balance registers a higher reading.

if the test section is designed to have a velocity of 200 m/s, determine the mach number, temperature and pressure in the test section. is the pressure in the test section greater than or less than the surrounding atmospheric pressure?

Answers

The test section's pressure is lower than the ambient pressure.

What exactly does pressure mean?

In the physical sciences, pressure is defined as the perpendicular force per unit area or the stress at a particular location within a confined fluid.

Given,

Diameter of Test section, d₂ = 0.5m

Area, A₂ = π/4d₂² = π/4×0.5² = 0.19635m²

Now, At Inlet,

Po = 101325Pa

To = 288 k

s = 122 kg/m³

(a) Using Bernoulli Theorem, i'n Test Section,

Po = [tex]P_{t}[/tex] +1/2γ [tex]v_{t^{2} }[/tex]

101325 = [tex]P_{t}[/tex] + ½ (1.22) (200) ²

[tex]P_{t}[/tex] = 76925 Pa

[[tex]v_{t}[/tex] = 200m/s]

Now,

Static Temperature, [tex]T_{t}[/tex]

[tex]T_{0}[/tex] = [tex]T_{t}[/tex] +v²/2[tex]c_{p}[/tex]

288 = [tex]T_{t}[/tex] +200²/2×1005

[tex]T_{t}[/tex] = 268.09k.

Thus,

[tex]M_{t}[/tex] = [tex]v_{t}[/tex]/[tex]\sqrt{\nu RT_{t} }[/tex]

[tex]M_{t}[/tex] = 200/1.4×287×268

[tex]M_{t}[/tex]= 0.609

The test section's pressure is lower than the ambient pressure.

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Two sound waves produce a beat frequency of 5 hz. If one of the original frequencies is 227 hz, what could be the other frequency?.

Answers

The beat frequency is always equal to the difference in frequency between the two notes that interact to create the beats.

How do you find the beat frequency of two sounds?The absolute difference between the two waves can be used to compute it. As a result, here's how to determine the beat frequency of two waves: Take the absolute value by subtracting the first wave's frequency from the second wave's frequency.The total value of the two waves' frequencies' difference is equal to the beat frequency. Beat frequency is the number of beats per second that corresponds to the difference in two waves' frequencies.Beat Frequency Calculation is given:

First wave frequency 5Hz

Second wave frequency 227Hz

Beat frequency 〰️222Hz.

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a 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min. what centripetal force must she exert to stay on if she is 0.891 m from its center? (hint: it's more than double her weight).

Answers

342.5 N of force must she exert to stay on if she is 0.891 m from its center while 22.0 kg child is riding a playground merry-go-round that is rotating at 40.0 rev/min

Since we are given the mas of the child  which is  22.0 kg and the number of revolutions which is 40.0 rev/min   which will be  :

n=2*3.14 *40.0 /60  = 4.18 radians/s

and the distance from the center is  0.891 m( r). The formula we are referring to calculates the centripetal force :

F= m(n)²* r

=22(4.18)²*0.891

= 342.49 = 342.5 N

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what is the minimum duration of the pulse if the minimum uncertainty in the energy of the photons is 1.0 % ?

Answers

If there is a 1.0% minimum energy uncertainty in the photons, the pulse's minimum duration is  1.6313×10⁻¹⁴ seconds.

How do you calculate a photon's energy?

There are two approaches to determine a photon's energy: E = h f can be used if the photon's frequency is known. This equation is referred to as Planck's equation because Max Planck proposed it. Using the formula E = h c, the photon's energy can be determined if its wavelength is known.

energy of the laser = h × c/λ

where h=Planck's constant-6.626×10⁻³⁴

c-speed of light = 3×10⁻⁸ m/s

λ = wavelength = 615 nm-615×10⁻⁹ m

energy = E = 6.626×10⁻³⁴×3×10⁸/(615×10⁻⁹) = 3.2322×10⁻¹⁹ J

then uncertainty in energy = 0.01×E = 3.2322×10⁻²¹ J

from Heisenberg uncertainty principle:

uncertainty in energy × uncertainty in time > h/(4× π)

==> uncertainty in time >6.626×10⁻³⁴/(4× π×3.2322×10⁻²¹)=1.6313×10⁻¹⁴

so minimum duration of the pulse is 1.6313×10⁻¹⁴ seconds.

To know more about If there is a 1.0% minimum energy uncertainty in the photons, the pulse's minimum duration is  1.6313×10⁻¹⁴ seconds.

How do you calculate a photon's energy?

There are two approaches to determine a photon's energy: E = h f can be used if the photon's frequency is known. This equation is referred to as Planck's equation because Max Planck proposed it. Using the formula E = h c, the photon's energy can be determined if its wavelength is known.

energy of the laser=h × c/λ

where h=Planck's constant-6.626×10⁻³⁴

c-speed of light = 3×10⁻⁸ m/s

λ = wavelength = 615 nm-615×10⁻⁹ m

energy = E = 6.626×10⁻³⁴×3×10⁸/(615×10⁻⁹) = 3.2322×10⁻¹⁹ J

then uncertainty in energy = 0.01×E = 3.2322×10⁻²¹ J

from Heisenberg uncertainty principle:

uncertainty in energy × uncertainty in time > h/(4× π)

==> uncertainty in time >6.626×10⁻³⁴/(4× π×3.2322×10⁻²¹)=1.6313×10⁻¹⁴

so minimum duration of the pulse is 1.6313×10⁻¹⁴ seconds.

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2. in an amusement-park ride, cars rolling along at high speed suddenly head up a long, straight ramp. they roll up the ramp, reverse direction at the highest point, then roll backward back down the ramp. in each of the following segments of the motion, which way does the acceleration vector point? a. as the cars roll up the ramp. b. at the highest point on the ramp. c. as the cars roll back down the ramp

Answers

The acceleration is going to be down the ramp as the cars roll up it and it's the same direction. In all 3 cases.

What is acceleration ?

Acceleration is the rate at which an object's velocity with respect to time changes. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration.

According to Newton's Second Law, the amount of an object's acceleration is the combined result of two causes :

The magnitude of the net resulting force is directly proportional to the net balance of all external forces acting on that object.Depending on the materials used to create it, an object's mass is inversely related to its magnitude.

A linear acceleration is the acceleration of the car in the direction it is moving, and it causes the passengers to feel a force pushing them back into their seats.

The acceleration that is used when changing direction is referred to as radial acceleration, and the reaction that the passengers feel is a centrifugal force.

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a uniform tin film of alcohol lies on a flat glass plate. when monochromatic light, whose wavelength can be changed, is incident normally, the refected light is a minimum for a wavelngth of 512 nm and a maximum for a wavelength of 635 nm. what is the minimum t hickness of the film

Answers

This is also known as the cut and weight method for determining the average thickness of plastic sheets.

The calculator below uses the formula (volume) x (density) = (weight) to calculate the theoretical thickness of a plastic film. "Film" is generally less than 1 mm thick, so the unit is μm. (If it is 1 mm or more, it is called a "sheet.") Generally, the micrometer method (JIS-C-2151) is used. Using a micrometer, measure the specified number of specified points in the width direction and length direction of the film. Film thickness has a significant impact on coating quality and cost. Measuring it and knowing which gauge to use is routine for every coater. Film thickness plays an important role in product quality, process control, and cost control and can be measured by various instruments.

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Explain how heating a gas can lead to: no change in the kinetic energy of the gas.​

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Heating of gas leads to change in kinetic energy of the gas.

As the temperature of the system increases, the molecules in it begin to move faster, and the speed of the particles is directly proportional to the kinetic energy.

Kinetic energy is the energy possessed by the gaseous particles while they are in motion.

Mathematically, KE = (1/2)mv^2,

where KE is kinetic energy, m is mass, and v is velocity.

When the temperature of a gas increases but the pressure remains the same, the volume of the gas increases, which means that the molecules must cover more space in the same amount of time by moving faster.

Kinetic energy increases as collisions between different molecules increase and the speed of motion increases. This behavior is demonstrated by Charles's law with the equation V/T = k. In this equation, V is the volume and T is the temperature, and the two are directly proportional. Similarly, temperature and pressure are also directly related, as in the Pressure law equation, P/T = k, where P is pressure and T is temperature.

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Which statement is true regarding a distance vs. time graph? (1 point)
O The graph should show distance on the vertical axis.
O The graph can include only straight line segments.
O The graph must have a horizontal segment.
O The graph needs to start at the origin.

Answers

The statement that is true regarding a distance vs. time graph is option A: The graph should show distance on the vertical axis.

Where is the plot of distance?

How far an object has come in a certain amount of time is displayed on a distance-time graph. Time is represented on the X-axis and Distance is plotted on the Y-axis (left) (bottom).

On a distance-time graph, an object's motion is indicated by a sloping line. The slope or gradient of the line in a distance-time graph is equal to the object's speed. The object is travelling more quickly the steeper the line is (and the bigger the gradient).

Note that the distance-time graph shows the relationship between distance and time by plotting distance on the y-axis and time on the x-axis.

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Answer:

(Question) Which quantity is scalar?

(Answer) Energy

(Question) Which option describes a vector quantity?

(Answer) It has magnitude, units, and direction.

(Question) A sailboat ends up 7 miles to the west of a pier. Which statement is true about this situation?

(Answer) It describes displacement, which is a vector quantity.

(Question) Which statement is true regarding a distance vs. time graph?

(Answer) The graph should show distance on the vertical axis.

(Question) On a distance vs. time graph for an object, a line segment that is sloping upward indicates

(Answer) motion in the positive direction.

Explanation:

just finished the quick check UwU

a lens of focal length 25 cm is placed 50 cm from an object. on the opposite side of the lens, at a distance of 100 cm, is a concave mirror with a curvature radius of 20 cm. where is the final image formed?

Answers

The image is formed at the distance 50/3 from the concave mirror .

What is meant by concave mirror ?

The reflective surface of a concave mirror is curved inward and away from the light source. Concave mirrors focus light inward to a single focal point. In contrast to convex mirrors, the image formed by a concave mirror changes depending on the distance between the object and the mirror.

Given ,

In concave lens

focal length f =+25

object distance  u =20cm

Using lens formula, we have

1/f=1/v-1/u

1/25=1/v-1/20

1/v=1/20-1/25=2-1/25 =1/25

v = 25 cm

Now, for concave mirror, we have

Focal length, f= R/2=25/2 = 12.5 cm

Object distance, u=+(25−50) cm= -25 cm

Using mirror formula, we have

1/f=1/v + 1/u

1/v = 1/12.5 - 1/-25 = 5-2/50 = 3/50

v = +50/3

Therefore the image is formed at the distance 50/3 from the concave mirror

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an 80.0 kg astronaut carrying a 15.0 kg tool kit is drifting away from the space station at a speed of 1.25 m/s. a) if she throws the tool kit away from the space station with a speed of 6.00 m/s, what is her final speed and direction?

Answers

The final speed of the astronaut at the space station is 0.36 m/s and the direction will be opposite to the direction of the tool kit thrown.

The mass of the astronaut = 80 kg

The mass of the tool kit = 15 kg

The speed of the space station = 1.25 m/s

The speed of the tool kit threw = 6 m/s

The final speed of the astronaut can be found using the conservation of momentum formula,

           [tex]\displaystyle m_{1}v_{f1} + m_{2}v_{f2} = m_{1}v_{i1} + m_{2}v_{i2}[/tex]

where m₁ is the mass of the astronaut

           m₂ is the mass of the tool kit

           [tex]\displaystyle v_{i1}[/tex] and [tex]\displaystyle v_{i2}[/tex] is the speed of the space station

           [tex]\displaystyle v_{f1}[/tex] is the speed of the astronaut after throwing the toolkit

Let us substitute the known values in the above equation, we get

              (80 x [tex]\displaystyle v_{f1}[/tex]) + (15 x 6) = (80 x 1.25) + (15 x 1.25)

                     (80 x [tex]\displaystyle v_{f1}[/tex]) + 90 = 100 + 18.75

                              80 x [tex]\displaystyle v_{f1}[/tex]   = 118.75 - 90

                                80 x [tex]\displaystyle v_{f1}[/tex] = 28.75

                                        [tex]\displaystyle v_{f1}[/tex] = 28.75 / 80

                                              = 0.36 m/s

Therefore, the final speed of the astronaut is 0.36 m/s

By newton's third law, for every action, there will be an equal and opposite reaction. Thus, the direction of the astronaut's direction will be against the direction of the tool kit thrown.

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A sailboat ends up 7 miles to the west of a pier. Which statement is true about this situation? (1 point)

It describes displacement, which is a vector quantity.

It describes distance, which is a scalar quantity.

It describes distance, which is a vector quantity.

It describes displacement, which is a scalar quantity.

Answers

The statement that is true about the situation where the sailboat ends up 7 miles to the west is that it describes displacement, which is a vector quantity (option A).

What is displacement?

Displacement is the vector quantity which denotes distance with a directional component. This means that displacement is distance with direction.

On the other hand, distance is the amount of space between two points, usually geographical points, usually (but not necessarily) measured along a straight line. It is a scalar quantity, meaning that it has no direction.

This serves as the major difference between both terms: Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.

According to this question, a sailboat ends up 7 miles to the west of a pier. This means that the magnitude is 7 while the direction is west of the pier, hence, it depicts displacement.

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a 0.111 kg hockey puck moving at 55 m/s is caught by a 80 kg goalie at rest. with what speed does the goalie slide on the (frictionless) ice?

Answers

The goalie slides on the frictionless ice at a speed of 0.076 m/s.

collision energy equals collision momentum

What generates momentum?

An object's momentum will vary as a result of a force applied for a specific length of time. In other words, an uneven force an object regardless of whether it is speeding up or slowin accelerates g down. When a force exerted against an object's motion slows it down.

The puck weighs 0.111 kg in terms of mass.

Hockey puck velocity is 55 meters per second.

Goalkeeper weight: 80 kg

Goalkeeper's speed is 0 meters per second.

Following the rule of linear momentum conservation, (0.111 kg 55 m/s) + (80 kg 0 m/s) = (0.111 kg + 80 kg) V V = (6.105 / 80.111) = 0.076 m/s (0.111 kg 55 m/s) + (0.111 kg + 80 kg) V = 0.076 m/s

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rgb color television and computer displays use cathode ray tubes that produce colors by mixing red, green, and blue light. if we look at the screen with a magnifying glass, we can see individual dots turn on and off as the colors change. using a spectrum of visible light, determine the approximate wavelength of each of these colors. what is the frequency and energy of a photon of each of these colors?

Answers

The frequency and energy of a photo of each of the colors indicated above are calculated using the formula for the frequency of light and the formula for energy in relation to Planck's constant.

What is the equation for energy and Frequency?

In this case, the formula for energy and frequency is given as follows:

E = Hv

Where

E - Energy (in eV)

h - Planck's constant (4.1357 x 10⁻15 eVs)

v-frequency (in Hz)


v = c/λ

Where,

v - frequency (Hz)

c - speed of light (3x 10⁸) ms⁻¹

λ - wavelength (in meters)

The energy of the photon for Red light is given as follows:

E = (4.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)

E = 1.902 eV

Frequency is given as:

v = [3×10⁸ms−¹] /[650x×10⁻¹⁹m]

v = 4.6 x 10¹⁴Hz

For Green light:

Energy is given as:
E = (5.4 x 10¹⁴) (4.1357 x 10⁻¹⁵)

E = 2.234 eV

Frequency is given as:
v = [3×10⁸ms−¹] /[550x×10⁻¹⁹m]

v = 5.4 x 10¹⁴Hz

For Blue light:

Energy is given as:
E = (6.6 x 10¹⁴) (4.1357 x 10⁻¹⁵)

E = 2.729 eV

Frequency is given as:
v = [3×10⁸ms−¹] /[450x×10⁻¹⁹m]

v = 6.6 x 10¹⁴Hz

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what is the potential difference across a 19- m -long, 2.0- mm -diameter copper wire carrying an 7.6 a current?

Answers

The potential difference across a 19m long, 2.0mm diameter copper wire carrying a 7.6A current is 676 V.

The resistance of the wire is given by R = ρ L/A

where ρ is the resistivity of copper (ρ = 1.72E-8 Ωm) and L is the length of the wire (19m). So,

R = 1.72E-8 * 2.0E-3/7.6E3

= 912 Ω.

Assuming that no other circuit elements are present, the potential difference across this wire will be equal to the voltage drop across that resistor:

V = IR = 912 * 7.6E3

= 676 V

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a moth at about eye level is 16.4 cm in front of a plane mirror; you are behind the moth, 48.8 cm from the mirror. what is the distance between your eyes and the apparent position of the moth's image in the mirror?

Answers

The distance between the moth and its image in the mirror is equal to the distance between the moth and your eyes, which is equal to 43.7 centimeters.

The distance from the moth to its image is 16.4 cm, which is equal to 48.8 cm, because it's a plane mirror. So, if you want to know how far away from you the moth looks like it is, just subtract 48.8 cm (the distance between your eyes) from 16.4 cm (the distance between you and the moth).

The angle between these two objects is 48 degrees,

so S = 1/2  2  sin(48)

= 0.958 meters.

Moth + Mirror (dist1) + Me (dist2) = 48 * 0.958 = 43.7 centimeters

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Which statement best describes heat?

A. Heat flows from cold to hot and is a form of thermal energy.

B. Heat flows from hot to cold and is the transfer of thermal energy.

C. Heat flows from hot to cold and is a form of thermal energy.

D. Heat flows from cold to hot and is the transfer of thermal energy.

Answers

Answer: D

Explanation:

3) A block with an unknown mass rests on a rough table. Attached to the mass is a
string which is attached to a 12 kg mass that hangs over the edge of the table via a
pulley. The coefficient of friction is 0.35. When released from rest, the system
reaches a speed of 8 m/s after traveling a distance of 6 m.
a. Calculate the acceleration of the system.
b. What equation can you use to represent the force of friction acting on the
unknown mass.
c. Write out Newton's Second Law and solve for the unknown mass.

Answers

a. The acceleration of the system is 0.21 m/s^{2}

b. The equation of the force of friction is -

tension force - force of friction = unknown mass x its acceleration and force of friction is equal to product of coefficient of friction and                    normal force acting on unknown mass .

c.  Newton's second law of motion applies when there are unbalanced forces acting on an object. According to the second law, the mass and the net force acting on the object both affect how quickly an object is accelerating . An object's acceleration is directly proportional to the net force applied and inversely proportional to the object's mass. An object's acceleration increases as the amount of force exerted on it does. A decreasing acceleration is caused by an increase in an object's mass.

The unknown mass is nearly equal to 30 kg .

What is acceleration ?

the rate at which the speed and direction of a moving object vary over time is termed as acceleration . An object going straight ahead  when it accelerates or decelerates,  is said accelerated. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration for all other motions.

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How much gravitional potential energy would a 65.0kg rollerblader have at the top of a hill that is 45.0 meters high

Answers

Roller balder will have 28,665 J gravitational potential energy at the top of a hill that is 45.0 meters high

gravitation potential energy = m*g*h

mass = 65 kg

g = 9.8 [tex]m/s^{2}[/tex]

h = 45 m

gravitation potential energy  = 65 * 9.8 * 45 = 28,665 J

Roller balder will have 28,665 J gravitational potential energy at the top of a hill that is 45.0 meters high

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A 900 kg coaster car is 13 m high traveling at 28 m/s at point C. If point E is 10 m high, how fast will the car be traveling assuming no frictional forces?

Answers

The velocity of the car at point E which is  10 m is determined as 24.2 m/s.

What is the final velocity of the coaster?

The final velocity of the coaster car is calculated by applying the principle of conservation of energy.

total kinetic energy of the coaster = total potential energy of the coaster

K.E = P.E

-¹/₂mv₁² + ¹/₂mv₂² = -mgh

-v₁² + v₂² = -2gh

v₂² = v₁² - 2gh

where;

m is the mass of the coasterv₁ is the initial velocity of the coasterv₂ is the final velocity of the coasterh is the height of travel of the coaterg is acceleration due to gravity

The given parameters include;

initial velocity of the coaster = 28 m/sheight of travel = 10 m

v₂² = v₁² - 2gh

v₂² = (28²) - (2 x 9.8 x 10)

v₂² = 588

v₂ = √588

v₂ = 24.2 m/s

Thus, the final velocity of the coaster car at the given height will be smaller than the initial velocity due to effect of gravity.

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Fill in the blanks using the word bank.

Answers

Answer: We are unable to see the word bank please update it with a more clear bank word image.

This the answers tell me if you need more help

the maximum speed of a 3.00-kg object in simple harmonic motion is 4.00 m/s. the maximum acceleration of the object is 5.00 m/s2. what is the period of simple harmonic motion?

Answers

The period of a 3.00kg object moving in a simple harmonic motion is 5.02s

Simple harmonic motion is a system where the object oscillates around the equilibrium position.

Based on the theorem, there are some formulas:

x(t) = A.cos t (ωt+∅)

x max = A

v max = Aω

a max = Aω²

ω = 2π/T = 2πf

From the question, we got some informations:

m = 3.00kg

v max = 4.00 m/s

a max = 5.00 m/s²

T = ?

We will use the formula for a max and v max to find the value of ω:

v max = Aω

v max = 4.00 m/s

Aω = 4.00 m/s ...(i)

a max = Aω²

5.00 = v max (ω)

5.00 = 4.00ω

ω = 1.25 rad/s ..(ii)

Next, we will use the Period formula:

ω = 2π/T

1.25 = 2π/T

T = 1.6π s

T = 5.02s

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skydiver refresher test answers why is it important to look ahead during a swoop toward other jumpers in freefall?

Answers

It is important to look ahead during a swoop toward other jumpers in freefall because you want to be able to see where they are going, and what they are doing.

If you don't look ahead, you may not be able to avoid them correctly. Looking ahead also helps you keep an eye on your parachute and where it is about other jumpers.

Looking ahead during a swoop toward other jumpers in freefall is important because it allows you to assess the situation and make sure that you aren't going to collide with another jumper. If you don't look ahead, you might not realize that there are people above but be ensure that you aren't colliding to avoid a collision.

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A van accelerates from a velocity of 2 m/s to a velocity of 20 m/s in 12 s.
Calculate the acceleration of the van.

Answers

Answer:

Explanation:

Given:

V₀ = 2 m/s

V = 20 m/s

Δt = 12 s

__________

a - ?

The acceleration of the van:

a = ΔV / Δt = (V - V₀) / Δt

a = (20 - 2) / 12 = 18 / 12 ≈ 1.5 m/s²

after a very short time, what is the difference between the pressure-difference across the component on the left and the pressure-difference across the component on the right?

Answers

Flow doesn't depends on absolute values of P1 and P2

Flow doesn't depends on absolute values of P1 and P2 but flow depends on pressure difference between top and bottom of each sides. This conclude that whenever  { P2-P4 = P1-P3 } flow will be stop.

after some time, difference in pressure across either components is

{  P​​​​​​(Top) - P​​​​(bottom) }

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A 1.80-kg block is suspended from a spring with a spring constant of 220.0 N/m. A 0.060-kg bullet is fired into the block from directly below with a speed of 270.0 m/s and is embedded in the block. (A) Find the amplitude of the subsequent motion. (B) What fraction of the original kinetic energy of the bullet appears as mechanical energy in the system of block-spring-bullet?

Answers

The fraction of the original kinetic energy of the bullet appears as mechanical energy in the system of block-spring-bullet is 0.72 m.

Amplitude=0.72 m

KE of system=0.5*(1.8+0.06)*8.7^2=70.39 j

Conservation of momentum

0.06*270=(1.8+0.06)*v

v=8.7 m/s

conservation energy

0.5*(1.8+0.06)*8.7^2=0.5*220*x^2+(1.8+0.06)*9.81*x

x=0.72 m

Amplitude=0.72 m

Original KE of bullet = 0.5*0.06*270^2=2187j

KE of system = 0.5*(1.8+0.06)*8.7^2=70.39 j

Amplitude in physics is stated to be the maximum displacement or distance that is moved by a factor on a body that is vibrating or wave measured from its equilibrium role.

As the pendulum swings through its equilibrium point (straight down), it swings to a maximum distance away from the center.

The amplitude of a wave is related to the amount of energy it includes. An excessive amplitude wave consists of a massive amount of power; a low amplitude wave consists of a small quantity of strength. Amplitude and intensity are associated, but not equal.

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A car (mass 1 000 kg) uses 50 000 J of energy (from fuel) to accelerate the car from rest to 5.5 m/s (about 20 km/h). How efficient is the car’s engine? ( Think, Eff = Eout/Ein x 100/1)

Answers

The energy output from the car is 15125 J and the input energy is given 50000 J. Thus, the efficiency of the car is 30.25 %.

What is engine efficiency?

The efficiency of an engine is the ratio of its energy output to the energy input multiplied by 100. The efficiency of a heat engine can be found similarly using the input heat and output heat.

Given the mass of the car is 1000 Kg and it is accelerated to 5.5 m/s. Therefore the kinetic energy output is is calculated as follows:

KE = 1/2 mv²

     = 1/2  1000 kg × (5.5 m/s)²

     =  15125 J

The input energy is 50000 J. Therefore, the energy efficiency is :

efficiency = output energy / input energy × 100

                = ( 15125 J/ 50000J ) × 100

                = 30.25 %

Hence, the energy efficiency of the car is 30.25 %.

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4. Predict whether a greater amount of energy will be
transferred as heat between 1 kg of water at 10 °C
and a freezer at -15 °C or between 1 kg of water at
60 °C and an oven at 65 °C.

Answers

The greater amount of energy is transferred during the first case and the difference in energies is: 84 × 10³ J

What is internal energy of a system?

Internal energy refers to all energy within a particular system, including the kinetic energy of molecules and the energy stored in chemical bonds between molecules. The interaction of heat, work, and internal energy involves the transfer and conversion of energy whenever a change is made to the system.

The amount of heat (Q) gained or lost from the sample can be calculated using the formula Q = mcΔT. where m is the mass, c is the specific heat, and ΔT is the temperature change.

For the first case:

Q = mcΔT

Q = mc(T₁ - T₂)

m = 1 kg or 1000 g

c =  4.2 J g⁻¹/°C

T₁ = 10 °C

T₂ = -15 °C

Q₁ = 1000 × 4.2 × (10 -(-15))

Q₁ = 105 × 10³ J

For the second case:

Q = mcΔT

Q = mc(T₂ - T₁)

m = 1 kg or 1000 g

c =  4.2 J g⁻¹/°C

T₁ = 60 °C

T₂ = 65 °C

Q₂ = 1000 × 4.2 × (65 - 60)

Q₂ = 21 × 10³ J

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