The displacement of the bicycle is 85.3125m
Displacement of the bicycle may be defined as the change in position of the bicycle. It is a vector quantity so that it has direction and magnitude.
We are given that,
The initial velocity of the bicycle = u = 5m/s
The acceleration of the bicycle is = a = 2.5 m/s²
The time taken by the bicycle = t = 6.5 seconds
Therefore, to get the value of displacement of the bicycle by the equation of motion which is written as,
S = ut + (1/2) at²
Where, S is displacement, u is initial velocity, a is acceleration and t is time taken by the bicycle.
Since , putting the values in above equation then we get,
S = {5m/s × 6.5sec} +{ (1/2) × 2.5m/s² × (6.5 sec)²}
S = 32.5 m + 52.8125m
S = 85.3125m
Therefore, the bicycle would be moves 85.3125m
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a student is skateboarding down a ramp that is 6.0 meters long and is inclined at 28 degrees with respect to the horizontal. The ramps coefficient of friction is 0.323. The initial speed of the skateboarder at the top of the ramp is 2.6 m/s. What is the skateboarders speed at the bottom of the ramp? (Hint: Find acceleration)
A block of wood has a mass of 120 g
and a volume of 200 cm³. What is the density of
the wood?
Answer: 0.6 g /cm^3
Explanation:
Just plug in the value in the equation d=m/v and you will get the answer!
5. Modern houses have systems to control internal air temperatures in times of very cold or hot weather. In these homes, hot or cool air is pumped into the interior of the house to help keep the temperature comfortable. Based on what you know about how cool and warm air circulate in the atmosphere, what might an engineer need to consider when designing a heating/cooling system for a home in a cooler climate?
How might the design differ for a house found in a warmer climate?
The engineer should take into account the convective currents that cause higher temperature gases to rise and lower temperature gases to sink.
What is convection?Convection is a term that refers to the way in which heat is transmitted in a liquid or gaseous state as a consequence of the actual movement of particles at different temperatures. If this movement is due to the effect of gravitation, due to differences in density, it is called natural convection.
What might an engineer have to consider when designing a heating/cooling system for a house in a colder climate?The engineer must take into account that, due to their density, the hottest gases tend to rise, and the coldest gases descend. Therefore, he would have to find a way for the hot gases to leave the floor and circulate around the house so that it stays at a warm temperature.
How might the design of a house that is in a warmer climate differ?In the case of a house that is in a warmer climate the engineer should take into account convection because it can find a way in which the hot gases rise and are released through the roof of the house and keep the gases cold inside the house.
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- A biker travels 65 mi during a two-and-a-half-hour commute. What was their average velocity?
Answer:
26 mi/hr
Explanation:
65 miles / 2.5 hours = 26 mi/hr
a rocket test sled accelerates at a constant rate of 25 m/s2 from rest while moving along a straight track. the rocket engine turns off instantly when the sled reaches a speed 30 m/s. the sled then moves freely (acceleration
The total distance that the sled moved is 332.01 m.
How to find the total distance the sled moved?
Total distance s = s1 + s2 + s3
1st Case: Acceleration
u = 0 m/s
v = 37 m/s
a = 25 m/s²
Therefore, using the equation of motion:
[tex]v^{2} - u^{2} = 2as\\s = v^{2} - u^{2}/2a\\s = 37^{2} - 0^{2}/2 * 25\\s = 27.38m[/tex]
2nd Case: No Acceleration
t = 7 s
v = 37 m/s
[tex]s_{2} = v * t\\ s_{2}= 37 * 7 = 259m[/tex]
3rd Case: Deceleration
a = -15 m/s²
u = 37 m/s
v = 0 m/s
Therefore, using the equation of motion
[tex]v^{2} - u_{2} = 2as\\[/tex]
[tex]s = 0^{2} - 37^{2}/2 * -15 = 45.63m[/tex]
Therefore,
S = 27.38 + 259 + 45.63 m = 332.01 m
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Please Help me with this question as soon as possible.
Answer:
......................
a single loop of wire with an area of 9.01×10−2 m2 is in a uniform magnetic field that has an initial value of 3.65 t , is perpendicular to the plane of the loop, and is decreasing at a constant rate of 0.197 t/s .
(a) The electromotive force induced in the loop is 0.017 V.
(b) The ratio of induced electromotive force to loop resistance yields the current in the circuit.
How can we calculate emf induced in a loop?
The emf induced in the loop can be calculated using Faraday's law:
emf = dФ/dt ⇒ emf = A * (dB/dt)
where A represents the area of the loop and dB/dt is the change in magnetic field with time.
Therefore, using the above relation, emf induced= 0.0901 * 0.197= 0.017V
Again, using Ohm's law the current in the loop can be determined since
Current = emf/Resistance.
Thus,
(a) The electromotive force induced in the loop is 0.017 V.
(b) The ratio of induced electromotive force to loop resistance yields the current in the circuit.
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What is a “tear” aka crying, what’s in a tear? LOTS OF POINTS
Answer:
water
Explanation:
An investor purchased 50 shares of
stock in a company for $20 per
share. One year later, the investor
sold all the shares for $925. What is
the investor's rate of return?
A. 7.5%
C. -7.5%
B. -8.1%
D. 8.1%
Answer:
B
Explanation:
In three to five sentences, explain how you would conduct an experiment to investigate the relationship between the applied force and the displacement of the spring, and describe its expected results.
An experiment to investigate the relationship between the applied force and the displacement of the spring, requires a spiral spring, two different masses and a meter ruler to measure the original length and displacement of the spring.
This experiment seeks to demonstrate Hooke's law, which states that the applied force F is equal to a constant k, to a displacement or change in length x. Mathematically, F = kx.
To demonstrate this law, we need;
A retort standA corkA spiral springA meter ruleThe set up appears as shown in the image attached. The natural length of the spring is first measured and recorded. The masses are now added gradually and the displacement of the spring is recorded each time.
A straight line graph is obtained when the force is plotted against the displacement within the elastic limit of the spring.
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An object has a mass of 35 kg, and it's pulled to the left by F₁ = 20.0
N, and to the right by F2= 30.0 N along the same line of action of force.
What would be the acceleration?
Force.
A force is an influence that has the power to alter an object's motion. A massed object's velocity can be changed or accelerated by a force. A force is a vector quantity since it has both magnitude and direction.
The mass of a physical body is a measure of its entire makeup. It also measures inertia, or the body's resistance to acceleration when a net force is applied. The strength of a body's gravitational pull on other bodies is also influenced by its mass. Kg is used as the fundamental mass unit.
Acceleration is the rate at which the velocity of an object modifies with respect to time. The direction of the net force acting on an object determines its acceleration.
As we know,
Force = mass x acceleration
Therefore, acceleration = force / mass
= {(35 / 30) - (35 / 20)} kgN
= 0.583 kgN towards right
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A catapult shoots an object 1.65m at an initial velocity 15m/s. It is in the air for 0.33s What was their initial angle of launch?
With the use of the formula below, their initial angle of launch was 26.2°
What is a Projectile ?A projectile is any object that is projected into the air which take a trajectory path.
Given that a catapult shoots an object 1.65m at an initial velocity 15m/s. It is in the air for 0.33s. Their initial angle of launch can be calculated by using the formula
h = usinФt - 1/2gt²
Where
h = 1.65 mu = 15 m/st = 0.33sФ = ?Substitute all the parameters into the formula
1.65 = 15sinФ × 0.33 - 1/2 × 9.8 × 0.33²
1.65 = 4.95sinФ - 0.5336
Collect the like term
4.95SinФ = 1.65 + 0.5336
4.95SinФ = 2.184
SinФ = 2.184/4.95
SinФ = 0.4411
Ф = [tex]Sin^{-1}[/tex](0.4411)
Ф = 26.2°
Therefore, their initial angle of launch was 26.2°
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In the situation shown below, what will happen if the cannon fires a banana at the same time that the monkey falls from the tree? (Assume the banana has a high enough initial velocity to reach the tree on the fly.)
In the situation shown, if the cannon fires a banana aimed underneath the monkey at the same time that the monkey falls from the tree, the banana will fly below the monkey and miss.
In the presence of gravity, the banana will move in a parabolic path. As the monkey lets go of the tree, it will have a downwards acceleration due to the presence of gravity. But both the banana and the monkey will have the same amount of acceleration. Because gravity causes objects to accelerate at the same rate independent of their mass.
Since both the banana and the monkey experienced the same acceleration, both will fall equal amounts of distance below their gravity-free path. So the banana misses the monkey, moving below the monkey. The only way the banana hits the monkey is that if the cannon is aimed at the monkey.
Therefore, if the cannon fires a banana aimed underneath the monkey at the same time that the monkey falls from the tree, the banana will fly below the monkey and miss.
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How many seconds will it takes to stop？
In order to find the time it takes, first let's convert the distance from miles per hour to feet per second: calculate the acceleration using Torricelli's equation
[tex]40\text{ mph}=40\cdot1.467\text{ ft/s}=58.7\text{ ft/s}[/tex]Then, let's :
[tex]\begin{gathered} V^2=V_0^2+2\cdot a\cdot d\\ \\ 0^2=58.7^2+2\cdot a\cdot50\\ \\ 100a=-3445.7\\ \\ a=-34.46\text{ ft/s^^b2} \end{gathered}[/tex]Now, we calculate the time with the formula below:
[tex]\begin{gathered} \Delta S=V_0t+\frac{at^2}{2}\\ \\ 50=58.7t-17.23t^2\\ \\ -17.23t^2+58.7t-50=0\\ \\ t=\frac{-58.7\sqrt{58.7^2-4\cdot(-17.23)\cdot(-50)}}{2\cdot(-17.23)}\\ \\ t_1=t_2=1.7 \end{gathered}[/tex]Therefore the time required is 1.7 seconds.
What is the magnitude of the relative angle φ
with which the ski jumper hits the slope?
The magnitude of the relative angle φ with which the ski jumper hits the slope
φ=14.08
This is further explained below.
What is the magnitude of the relative angle?Generally, the equation for time is mathematically given as
[tex]t = \frac{(2V tan \theta)}{g} \\\\t = \frac{2 * 24 * tan 59}{9.8}[/tex]
t = 8.152 s
The formula will now provide the slope of the flight path at the time of impact;
tan = V y / V x
V_y = 9.8 * (8.152)
V_y= 78.89 m/s
In conclusion,
[tex]tan \alpha = \frac{78.89}{24}[/tex]
[tex]tan \alpha = 3.2871[/tex]
[tex]\alpha= 73.08°[/tex]
Hence
φ=[tex]\alpha - \theta[/tex]
=73.08-59
φ=14.08
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The complete question is;
A ski jumper travels down a slope and leaves the ski track moving in the horizontal direction with a speed of 24 m/s. The landing incline below her falls off with a slope of θ = 59◦ . The acceleration of gravity is 9.8 m/s².
What is the magnitude of the relative angle φ with which the ski jumper hits the slope? Answer in units of ◦
what factor of the wave seems to affect pitch?
Answer: Pitch of the sound depends on the frequency of the sound wave. The pitch is affected by the source of production of sound wave. It also depends on the shape of the medium in which it travels.
Explanation:
a charged particle a exerts a force of 2.62 n to the right on charged particle b when the particles are 13.7 mm apart. particle b moves straight away from a to make the distance between them 17.7 mm. what vector force does particle b then exert on a?
The force that the particle A exerts on the particle B, which is still to the right of it, points to the left.
What does a vector mean?A measurement with both magnitude and direction. It is often represented by an arrows whose length is proportional to the size of a quantity and whose orientation is the same as that of the quantity. An vector does not even have position, while having direction and magnitude.
Briefing:Lets look at the ratio of the forces of the same charges but at different distances
[tex]$\frac{F_1}{F_2}=\frac{k_e \frac{q_{A q_B}}{r_1^2}}{k_e \frac{q_A q_B^2}{r_2^2}}$[/tex]
[tex]$\frac{F_1}{F_2}=\frac{r_2^2}{r_1^2}$[/tex]
Pugging in our given values we get the force F2 as:
[tex]$F_2=\frac{r_1^2}{r_2^2} F_1$[/tex]
=(13.7mm)2/(17.7mm)2(2.62N)
=1.57 N
The force that the particle A exerts on the particle B, which is still to the right of it, points to the left.
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the volume of a stone having an irregular shape can be measured (a) meter rule (b) measuring cylinder (d) vernier calliper (d) micrometer screw guage
Answer:
B) Measuring cylinder
Explanation:
when the protostar has the following temperatures, what is its luminosity? what is the radius of a protostar with these temperatures and luminosities compared to the radius of the sun? what is happening to the protostar at 200 k? what is happening to the protostar at 1000 k?
The first stage in the evolution of stars is the protostellar phase. It lasts roughly 500,000 years for a low-mass star (sun-mass or less).
When a star is still gaining mass from its parent molecular cloud, it is referred to as a protostar. The first stage in the evolution of stars is the protostellar phase. It lasts roughly 500,000 years for a low-mass star (sun-mass or less). A molecular cloud fragment first experiences self-gravity-induced collapse before entering the phase, where an opaque, pressure-supported core develops inside the fragment. It comes to an end when the gas that is descending outruns it, leaving a pre-main-sequence star that subsequently contracts to become a main-sequence star at the start of hydrogen fusion that produces helium. Since the protostar is still contracting, its diameter and surface area are extremely large, and its luminosity may be approximately 100 times greater than when it is fully formed.
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-Three positive things about meditation?
-Why is it important?
-Three reasons why you should not eat junk food?
There are three positive things about meditation:
Gaining a new perspective on stressful situations.Building skills to manage your stress.Increasing self-awareness.Meditation helps you manage anxiety, stress, and depression.
There are three reasons you should not eat junk food:
One of the most common and perceivable effects of junk food is a rise in obesity in an individual.Learning and memory problems. Loss of appetite and digestion.
Meditation can increase alertness and focus but extremes can lead to insomnia and other sleep disorders. I also found it high Meditation is the habitual process of training the mind to focus and redirect one's thoughts. Meditation is growing in popularity as more people discover its many health benefits. You can use it to increase awareness of yourself and those around you.
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HELP W 2 AND 3 PLEASE IMPORTANT!!
The maximum resultant of two vectors , one 10m/s and 20 m/s will be 22.36.
What is projectile motion?The movement of an object that has been launched into the air is known as projectile motion. Only gravity is felt by the item after the initial force that launches it. Projectile and trajectory both refer to the same thing: an object. Air resistance is the name for the frictional force that an object experiences as it moves through the air and slows it down. Air resistance does greatly change trajectory motion, but because it is difficult to calculate, it is not taken into account in basic physics.
The separation of horizontal and vertical motions is the most crucial idea in projectile motion.
We have given two velocities 10m/s and 20m/s. [tex]\sqrt10²+\sqrt20²[/tex] → √500 = 22.36 The maximum resultant will be 22.36. The bag fall straight down or not fly back to the plane because Everything in this world , when dropped from height it will only fall down towards are earth because of gravitational force .To learn more about Projectile motion refer
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.
Determine the acceleration of an object that can go from 0-60 m/s over the course of
1600 m.
Answer:
1.125 m/s^2
Explanation:
Given:
u = 0v = 60 m/sS = 1600 mTo Find:
Acceleration (a)Formula used:
v^2 = u^2 + 2aSwhere,
v = final velocity
u = initial velocity
a = acceleration
S = Displacement
Let the acceleration be a.
Using the above formula, we have
60^2 = 0^2 + 2(a)(1600)
3600 = 3200a
a = 36/32
a = 9/8
a = 1.125 m/s^2
So, the acceleration is 1.125 m/s^2.
A movie stunt driver on motorcycle speeds horizontally off a 13 m high cliff at a speed of 20.8 m/s. How far (dx) from the base of the cliff will he land?
Use g= 9.8 m/s2 for the acceleration due to gravity.
Round your answer to two decimal places.
The horizontal displacement of the stunt diver from the base of the cliff is 33.9 m
What is time of motion?The time of motion of an object is the time taken for the object to travel from its initial position to the final position.
The time taken for the stunt diver to travel down the given height is calculated as follows;
h = vt + ¹/₂gt²
where;
v is the initial vertical velocity of the stunt diver = 0g is acceleration due to gravityt is the time of motion of the stunt diverh is height of fallh = ¹/₂gt²
2h = gt²
t² = 2h/g
t = √(2h/g)
t = √(2 x 13 / 9.8)
t = 1.63 seconds
The horizontal distance travelled by the stunt diver is calculated as follows;
X = Vₓt
where;
X is the horizontal distance of the stunt diverVₓ is horizontal speed of the stunt divert is the time of motionX = 20 .8 m/s x 1.63 s
X = 33.9 m
Thus, the displacement of the stunt diver from the base of the cliff is 33.9 m.
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an ohmic material is one in which its resistance does not depend on the voltage across it or the current within it. in that case, the resistance does not depend on: temperature power dissipated in the sample cross-sectional area of the sample resistivity (an intrinsic property of the sample) length of the sample
An ohmic conductor's resistance is independent of the applied voltage, so the temperature stays constant.
What is an ohmic material?An ohmic material or component is any material, component, or device that complies with Ohm's law, according to which the current flowing through the object is proportional to the applied voltage. Nonohmic materials and components are any substances or parts that do not adhere to Ohm's law.
What does Ohm's law depend?Ohm's law, which describes how current, voltage, and resistance are related. The voltage or potential difference across a large number of materials directly correlates to the amount of steady current through those materials.
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A skateboarder traveling at 7.0 meters per second rolls to a stop at the top of a ramp in 3.0
seconds. What is the skateboarder's acceleration?
The acceleration of the skateboarder is calculated out to bbe -2.33 m/s^2, when travelled at 7 meters per second.
What is acceleration and how it calculated out to be -2.33 m/s^2?As we have studied earlier also acceleration is the measure of change in velocity per unit time.Here is given the initial velocity 7 m/s , it is coming to a stop at the top of a ramp . And the time is given 3 seconds.Using the equation a = final velocity - initial velocity / time , we get the acceleration to be -2.33 m/s^2.The skateboarder's acceleration when travelled at 7 meters per second rolls to a stop at the top of a ramp in 3 seconds is calculated out to be -2.33 m/s^2.To know more about acceleration visit:
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Which of the following statements about conservation of mass is true?
The correct statement from above about the conservation of mass is: mass is conserved in both physical and chemical changes.
The correct answer choice is option c.
Understanding why mass mass is conserved in both physical and chemical changes.It follows that the law of conservation of mass states that: " matter can neither be created nor destroyed but changes from one form to another ". From this statement of the atomic theory, it then means that the mass of any substance remains the same in any state of matter, physical changes, chemical changes, before reaction and after reaction. Mass is neither created not destroyed.
The mass of matter is the same through out in both physical and chemical changes.
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A 2 kg blob of putty moving at 4 m/s slams into a 6 kg blob of putty at rest. What is the speed of the two stuck together blobs immediately after colliding.
From the conservation of linear momentum, the common speed in which the two will move together immediately after colliding is 1.33 m/s
What is Conservation of Linear Momentum ?Conservation of Linear Momentum state that the sum of the momentum before collision is the same as the sum of the momentum after collision.
Given that a 2 kg blob of putty moving at 4 m/s slams into a 6 kg blob of putty at rest.
M1 = 2 kgU1 = 4 m/sM2 = 6 KgU2 = 0The common speed V of the two stuck together blobs immediately after colliding can be calculated by using the formula
M1U1 + M2U2 = (M1 + M2)V
(2 × 4) + 0 = (2 + 4) V
8 = 6V
V = 8/6
V = 1.33 m/s
Therefore, the common speed of the two stuck together blobs immediately after colliding is 1.33 m/s
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What is the induced emf in a single loop of wire when the magnetic flux is changed from 0.850 T.m^2 to 0.110 T.m^2. the time required for this change flux is 0.5s
The induced emf in a single loop of wire -1.48 V.
Induced EMF is the exchange in capability difference due to a change within the magnetic flux of a coil, while modern-day is the drift of electrons thru a conductor in a closed circuit.
ε = | N ΔФ/ Δt | = N |Ф₂ - Ф₁ / Δt |
ε = induced emf
N = number of loop, given, 1
Ф₂ = final magnetic flux, given, 0.110 Tm²
Ф₁ = initial magnetic flux , given, 0.850 Tm²
Δt = change in time , given, 0.5s
Put these values in formula, ε = | N ΔФ/ Δt | = N |Ф₂ - Ф₁ / Δt |
ε = - 0.740/0.5
ε = -1.48 V
Hence, the induced emf in a single loop of wire -1.48 V.
An emf is induced inside the coil whilst a bar magnet is pushed inside and out of it. Emfs of opposite symptoms are produced through movement in opposite instructions, and the emfs are also reversed by using reversing poles. The same outcomes are produced if the coil is moved instead of the magnet it's miles the relative movement this is crucial.
An emf is produced whenever the magnetic flux is modified in a closed circuit. This emf is referred to as the brought about emf, and the cutting-edge that flows inside the closed circuit is called the induced current.
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A young girl sleds across a snowy field. calculate the magnitude of the friction force she experiences if her mass if 35 kg, the sled's mass is 50kg, and the coefficient of of friction with the snow is 0.220
The magnitude of the friction force she experiences=> f= 183.26 N.
friction force isthe force which opposes the motion of an object.
Total mass= 50 + 35 kg=85 kg
g= 9.8 m/s²
coefficient of friction with the snow (ц)=0.220
the friction force acting here is kinetic friction force, which is product of coefficient of friction and force acting on it which is mass × acceleration due to gravity.
the magnitude of the friction force= kinetic friction acting here=ц m g
f = 0.220 × 85 kg × 9.8
f= 183.26 N
friction force acting here is = 183.26 N.
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How does a change in the solar constant impact the absorption of shortwave radiation and the emission of longwave radiation by the earth-atmosphere system?.
Answer:
Option - d This is trick question, since the solar constant never change. The gravity of the Sun keeps the planets in their orbits at all times. They stay in their orbits, since there is no other force in the Solar System which can stop them. Yeah this might help. Add to brainliest please