Answers
At the start of a race, a cyclist's velocity is zero because they are not yet moving. However, as they begin to pedal and move forward, their velocity increases. The direction of the velocity depends on the direction in which they are moving.
Acceleration is the rate at which velocity changes over time. In the case of a cyclist at the start of a race, their acceleration would be positive, as they are increasing their velocity. The magnitude of the acceleration would depend on various factors such as the force of the cyclist's pedaling, the mass of the cyclist and the bike, and the friction between the tires and the ground.
As the cyclist continues to pedal, their velocity will increase, and their acceleration may either increase or decrease depending on the external factors that influence their motion. Ultimately, the cyclist's velocity and acceleration will determine their position and speed relative to other cyclists in the race.
Related Questions
A ball is thrown with an initial velocity of 10 m/s at an angle of 30 degrees with respect to the horizontal. Calculate the horizontal and vertical components of the ball's initial velocity. Using equations of uniformly accelerated motion, calculate the maximum height reached by the ball and the time it takes to reach the ground. Finally, calculate the maximum range of the ball, that is, the horizontal distance traveled before hitting the ground.
Answers
Answer:
=55.21 is the answer.........
A solid lead sphere of radius 10 m (about 66 feet across!) has a mass of about 57 million kg. If two of these spheres are floating right next to each other (centers 20 m apart) in deep space, the gravitational attraction between the spheres is only 540 N (about 100 pounds). How large would this gravitational force be if the distance between the centers of the two spheres were quadrupled?
Answers
If the distance between the centres of the two spheres were doubled, there would be a gravitational force of 60 N.
What is an example of gravitational attraction?The force affecting the Sun and Earth. the cause of the Moon's orbital rotation around the Earth. The ocean's tides are controlled by the force of the Moon. the force that confines all gases to the Sun.
Mass of the lead sphere F = 57 million kg
Initial center distance r = 20m
The gravitational constant of spacetime G = 6.67 * 10⁻¹¹ Nm²/ kg²
Gravitational force of attraction F₁ = 540 N
Newton's law of gravity says that we have;
F = Gm₁m₂ / r
F₁ / F₂ = r₂² / r₁²
F₂ = F₁r₁² / r₂²
F₂ = F₁r₁₂ / (3r₁)²
F₂ =F1 / 9
F₂ = 540 N / 9
F₂ = 60 N
If the space between the centres of the two spheres were to be quadrupled, the gravitational force of attraction would be 60 N.
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A bus in traffic increases its speed from 10km/hr to 23km/hr in 2 minutes. What is the average acceleration of the bus?
Answers
The average acceleration of the bus is −6.00 m/s².
What is average acceleration?The definition of average acceleration is the change in velocity per unit of time. Acceleration is measured in squared time-distance units. The word "average" is interpreted as a symbol with a bar over it, therefore "a-bar" stands for average acceleration. Calculating Average Acceleration: The change in velocity is calculated by dividing the end velocity by the initial velocity, then multiplying the result by the change in time. This result is known as the average acceleration (a). a = v t = v f v I t. How quickly an object is travelling in a specific direction is determined by its velocity. In the formula -a=vt=vfv0tft0, where an is average acceleration, v is velocity, and t is time, the average acceleration is the rate at which velocity changes.a = ? ; Δt = 1.50 s ; v1 = 9.00 m/s ; v2 = 0.00m/s
The formula to use in this case is the definition of acceleration stating that the acceleration a = Δv / Δt or a = (v2- v1) / Δt where v2 is the final velocity and v1 is the initial velocity.
Solving for the acceleration a
a = (v2- v1) / Δt
a = (0 - 9.00 m/s) / 1.50 s
a = - 9.00 m/s / 1.50 s
a = −6.00 m/s^2
The average acceleration of the bus is −6.00 m/s^2.
The complete question is,
When a bus comes to a sudden stop to avoid hitting a dog, it slows from 9.00 m/s to 0.00m/s in 1.50 seconds. What is the average acceleration of the bus?
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Compare and contrast the accuracy of eyewitness accounts to the actual events
Answers
Answer: hope it helps
We routinely share first-person accounts of what we've seen or heard ... Accidental eyewitnesses to daily events, ranging from the mundane ... System variables, by contrast, are those that can be controlled by the ... Comparing the diagnostic accuracy of suspect identifications made by actual eyewitnesses ...
Explanation:
A 20 kg block rests on a rough horizontal table. A rope is attached to the block and is pulled with a force of 80 N to the left
Answers
Explanation:
it will move to thr left?
stored energy is _________ ___________
kinetic energy
energy in motion
potential energy
Answers
Answer:
Potential energy
Explanation:
Potential energy is stored energy
Emory pushes the box with 20 Newtons of force. If the box is 4kg, how fast will the box accelerate?
Answers
20N=4kg.a
a=5 N/kg
A bottlenose dolphin (Tursiops truncatus) is about 3.0 m long and has a mass of 230 kg. It can jump 3.4 m above the surface of the water while flipping nose-to-tail at 5.9 rad/s, fast enough to complete 1.5 rotations before landing in the water.
How much energy must the dolphin generate to jump 3.4 m above the surface of the water?
If the dolphin’s moment of inertia about its rotation axis is 240 kg⋅m2, how much energy must the dolphin generate to rotate its body in this way?
Answers
1) The dolphin must generate approximately 7,106 Joules of energy to jump 3.4 m above the water's surface.
2) The dolphin must generate approximately 3,523 Joules of energy to rotate its body in this way.
To calculate the energy required for the dolphin to jump 3.4 m above the water's surface, we can use the concept of gravitational potential energy. The energy required is equal to the change in gravitational potential energy of the dolphin during the jump.
The gravitational potential energy is given by the equation:
PE = m * g * h,
where PE is the potential energy, m is the mass of the dolphin, g is the acceleration due to gravity, and h is the height of the jump.
Substituting the given values, we have:
PE = (230 kg) * (9.8 m/s^2) * (3.4 m) = 7,106 Joules.
Therefore, the dolphin must generate approximately 7,106 Joules of energy to jump 3.4 m above the water's surface.
To calculate the energy required for the rotation, we can use the concept of rotational kinetic energy. The energy required is equal to the change in rotational kinetic energy of the dolphin during the rotation.
The rotational kinetic energy is given by the equation:
KE = (1/2) * I * ω^2,
where KE is the kinetic energy, I is the moment of inertia of the dolphin, and ω is the angular velocity.
Substituting the given values, we have:
KE = (1/2) * (240 kg⋅m^2) * (5.9 rad/s)^2 = 3,523 Joules.
Therefore, the dolphin must generate approximately 3,523 Joules of energy to rotate its body in this way.
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A young parent is dragging a 65 kg (640 N) sled (this includes the mass of two kids) across some snow on flat ground, by means of a rope attached to the sled. The rope is at an angle of 30 degrees with respect to the ground and the tension in the rope is 160 N. The sled is moving at a constant velocity of 1.5 m/s.
(a) Draw and label all forces acting on the kids + sled system. Indicate the relative size of each force by scaling the length of each force arrow appropriately
(b) Calculate the normal force acting on the system
(c) Calculate the force of friction acting on the system.
(d) Calculate the coefficient of friction between the sled and the snow.
Answers
Answer:
b) N = 560 N, c) fr = 138.56 N, d) μ = 0.247
Explanation:
a) In the attachment we can see the free body diagram of the system
b) Let's write Newton's second law on the y-axis
N + T_y -W = 0
N = W -T_y
let's use trigonometry for tension
sin θ = T_y / T
cos θ = Tₓ / T
T_y = T sin θ
Tₓ = T cos θ
we substitute
N = W - T sin 30
we calculate
N = 640 - 160 sin 30
N = 560 N
c) as the system goes at constant speed the acceleration is zero
X axis
Tₓ - fr = 0
Tₓ = fr
we substitute and calculate
fr = 160 cos 30
fr = 138.56 N
d) the friction force has the formula
fr = μ N
μ = fr / N
we calculate
μ = 138.56 / 560
μ = 0.247
A main difference between asteroids and comets is that asteroids are mostly made of rock and comets are mostly made of metals carbon compounds ice vapor (gas) you can't fool me, astronomers don't really know what comets are made of
Answers
We can confirm that the difference between a comet and an asteroid lies in their compositions and physical characteristics derived from those compositions.
As stated in the question, the main difference between an asteroid and a comet is their compositions, meaning the materials from which they form.
Asteroids are rocky objects which a heavy metal composition, while comets tend to be made of dust, ice, and some rocky material. Some extra differences include:
Comets reflect a steady amount of light (because of their ice composition)Asteroids will reflect light at random intervals due to some metals that may be present on their surfaceComets tend to have a tail made of water from the melting ice when reflecting sunlight.Therefore, we can confirm that the main difference between asteroids and comets is their compositions, which lead to distinct physical characteristics.
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Please help! It's due in one hour!
The initial speed of a body is 7.7 m/s. What is its speed after 2.29 s if it accelerates uniformly at −4.56 m/s2?
Answers
The speed after 2.29 s if it accelerates uniformly at −4.56 m/s² with an initial speed of 7.7 m / s is - 2.74 m / s
v = u + at
v = Final velocity
u = Initial velocity
a = Acceleration
t = Time
u = 7.7 m / s
t = 2.29 s
a = - 4.56 m / s²
v = 7.7 + ( - 4.56 * 2.29 )
v = 7.7 - 10.44
v = - 2.74 m / s
The negative symbol in final velocity means that the object has changed directions from which it originally started. Considering a was negative and u was positive, the object must has decelerated in positive direction.
Therefore, the final speed is - 2.74 m / s
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A rock is at the top of a 20 meter tall hill. The rock has a mass of 10 kg. How much potential energy does it have?
Answers
Answer:
1960 JExplanation:
The potential energy of a body can be found by using the formula
PE = mgh
where
m is the mass
h is the height
g is the acceleration due to gravity which is 9.8 m/s²
PE = 10 × 9.8 × 20
We have the final answer as
1960 JHope this helps you
A hair dryer draws a current of 12.8 A.
(a)How many minutes does it take for
6.8 x 10° C of charge to pass through the
hair dryer? The fundamental charge is
1.602 x 10-19 C.
Answer in units of min.
(b)How many electrons does this amount of
charge represent?
Answer in units of electrons.
Answers
Answer:
(a) 8.85×10⁻³ minutes
(b) 4.24×10¹⁹ electrons
Explanation:
(a) Using,
Q = it............................. Equation 1
Where Q = quantity of charge, i = current, t = time.
Make t the subject of the equation
t = Q/i............................. Equation 2
Given: Q = 6.8×10⁰ C, i = 12.8 A
Substitute these values into equation 2
t = 6.8×10⁰/12.8
t = 8.85×10⁻³ minutes
(b) n = Q/(1.602×10⁻¹⁹)................. Equation 3
Where n = number of electrons.
Given: Q = 6.8×10⁰ C
Substitute into equation 2
n = 6.8×10⁰/1.602×10⁻¹⁹
n = 4.24×10¹⁹ electrons
(a) The time taken by the charge to flow from the drier will be \(\d8.85\)×\(\d10^{-3}\)minutes
(b) Amount of the electrons in the charge will be \(\d4.24\)×\(\d10^{19}\) electrons
What will be the time of the charge and number of the electrons in the charge ?As we know Q = IT
Where Q = quantity of charge, i = current, T = time.
From the above equation
T= Q/I.
Given: Q = \(6.8\times\d10^{0}\) C, i = 12.8 A
Substitute these values
T= \(6.8\)×\(\d10^{0}\) /12.8
T = \(8.85\)×\(\d10^{-3}\) minutes
Now the number of the electrons present in the charge will be
n = Q/( \(1.602\)×\(\d10^{-19}\))
Where n = number of electrons.
Given: Q = \(6.8\times\d10^{0}\) C
Substitute Value of Q
n = \(6.8\times\d10^{0}\)/ \(1.602\times\d10^{-19}\)
n = \(4.24\times\d10^{19}\) electrons
Thus
(a)The time taken by the charge to flow from the drier will be \(\d8.85\)×\(\d10^{-3}\)minutes
(b)Amount of the electrons in the charge will be \(\d4.24\)×\(\d10^{19}\) electrons
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what is a U.S state you can visit a desert in
Answers
When scientists look at very distant galaxies through powerful telescopes, they see the galaxies as they were millions or billions of year ago. Why is this?
Answers
Answer:
speed of light
Explanation:
the sun's light is 8 mins behind imaging that a billion fold
What is frequency?
(P.S. please help)
Answers
Explanation:
the rate at which something occurs or is repeated over a particular period of time or in a given sample
Answer:
Frequency is the number of occurrences of a repeating event per unit of time. It is also referred to as temporal frequency, which emphasizes the contrast to spatial frequency and angular frequency. Frequency is measured in units of hertz (Hz) which is equal to one occurrence of a repeating event per second.
Hope this helps :D
How is the pressure of a gas related to its concentration of particles?
Answers
Hope this helps!
Answer:
Explanation:
Pressure will expand a gas, enlarging its volume and reducing its density and concentration of particles. Pressure will magnify a gas, developing its volume and multiplying its density and concentration of particles.
Increasing the pressure of a gas is exactly the same as increasing its concentration. If you have a given mass of gas, the way you increase its pressure is to squeeze it into a smaller volume. If you have the same mass in a smaller volume, then its concentration is higher.
In a local bar, a customer slides an empty beer mug down the counter for a refill. The height of the counter is 1.36 m. The mug slides off the counter and strikes the floor 1.00 m from the base of the counter.(a) With what velocity did the mug leave the counter?m/s(b) What was the direction of the mug's velocity just before it hit the floor?° (below the horizontal)
Answers
(a) Velocity with which the mug leaves the counter is approximately 5.02 m/s.
(b) The direction of velocity of mug just before it hits the floor is downwards, since mug is falling under influence of gravity.
What is velocity?Velocity is a quantity that designates how fast and also in what direction a certain point is moving.
(a) As we know, PE = m g h
\(\mathrm{PE = mgh }\)
\(\mathrm{= (m)(9.81 m/s^2)(1.36 m) }\)
= 13.4mJ
\(\mathrm{KE =\frac{1}{2} mv^2}\)
PE = KE
\(\mathrm{mgh = \frac{1}{2}mv^2}\)
\(\mathrm{v = \sqrt{2gh}}\)
\(\mathrm{v = \sqrt{2 \times 9.81 \times 1.36 m}}\)
v = 5.02 m/s
Therefore, the velocity with which the mug leaves the counter is approximately 5.02 m/s.
(b) The direction of the velocity of mug just before it hits the floor is downwards, since mug is falling under the influence of gravity. Velocity vector has a vertical component that points downwards and horizontal component that is parallel to counter.
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please help!!!!!! 26 points
Answers
Given the following data, determine how long it will take your space ship
to travel from Earth to Mars in years.
Distance from Earth to Sun: 150,000,000 km
Distance from Mars to Sun: 230,000,000 km
Maximum Speed of ship: 3,050 km/hr
365 days/year
24 hours/day
Answers
It will take our ship 3 year to travel from Earth to Mars if the speed is 3,050 km/hr.
What is speed?The distance travelled per unit of time is most commonly known as speed. It describes how quickly an object moves. The magnitude of the velocity vector is represented by speed, which is a scalar quantity. It's aimless. A faster moving object has a higher speed. It is moving slower if it has a lower speed. It has no speed if it is not moving at all.
The following formula is used to calculate the constant velocity of an object moving in a straight line:
S = d / t
Distance from Earth to Mars = Distance from Mars to Sun - Distance from Earth to Sun
Distance from Earth to Mars = 230,000,000 km - 150,000,000 km
= 2.3 × 10⁸ - 1.5 × 10⁸
= (2.3-1.5) × 10⁸
= 0.8 × 10⁸
= 8 × 10⁷ km
Time = Distance ÷ Speed
Given speed = 3,050 km/hr
Distance = 8 × 10⁷ km
Putting the values,
Time = 80,000,000 ÷ 3,050
Time = 26229.51
24 hours a day, so
26229.51/24
= 1092.9
365 days a year, so
1092.9/365
= 2.99 ≈ 3 years
Thus, It will take our ship 3 year to travel from Earth to Mars if the speed is 3,050 km/hr.
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The angle of incidence always equals what?
Answers
Answer:
Angle Of Incidence Formula The angle of incidence is equal to the reflected angle through the law of reflection. The angle of incidence and the angle of reflection is always equal, and they are both on the same plane along with the normal. 2,44,451
Explanation:
that could help you with work.
Answer:
to the angle of reflection
Explanation:
5.
How are current and resistance related?
A. Inverse relationship
B. Direct relationship
C. No relationship
Answers
The ____ involves relations between microsystems or connections between contexts.
Answers
Answer:
mesosystem
Explanation:
The mesosystem involves relations between microsystems or connections between contexts.
William wanted to create a report on a geographical location with the greatest species diversity. Which ecosystem can consider for his report?
A.
the ocean
B.
a desert
C.
a tropical rain forest
D.
a coral reef
Answers
A 20-g bullet is shot vertically into an 2.8-kg block. The block lifts upward 9 mm. The bullet penetrates the block and comes to rest in it in a time interval of 5 ms. Assume the force on the bullet is constant during penetration and that air resistance is negligible. What is the speed of the bullet just before the impact
Answers
Answer:
The speed of the bullet just before the impact is 701 m/s
Explanation:
Given;
mass of the bullet, m₁ = 20 g = 0.02 kg
mass of the block, m₂ = 2.8 kg
displacement of the block, d = 9 mm = 9 x 10⁻³ m
duration of motion of the bullet, t = 5 ms = 5 x 10⁻³ s
Apply the principle of conservation of energy;
The final kinetic energy of the bullet = maximum potential energy of the block
\(\frac{1}{2} m_1v^2 = m_2gh\\\\v^2 = \frac{2m_2gh}{m_1} \\\\v= \sqrt{\frac{2m_2gh}{m_1} } \\\\v = \sqrt{\frac{2 \times 2.8 \times 9.8 \times (9\times 10^{-3})}{0.02} } \\\\v = 4.97 \ m/s\)
Apply the principle of conservation of linear momentum, to determine the initial velocity of the bullet before the impact.
m₁u₁ + m₂u₂ = v(m₁ + m₂)
where;
u₁ is the initial velocity of the bullet
u₂ is the initial velocity of the block = 0
m₁u₁ + 0 = v(m₁ + m₂)
m₁u₁ = v(m₁ + m₂)
0.02u₁ = 4.97(2.8 + 0.02)
0.02u₁ = 14.02
u₁ = 14.02 / 0.02
u₁ = 701 m/s
Therefore, the speed of the bullet just before the impact is 701 m/s
Particles q1 = -8.99 μC, q2 = +5.16 μC, and
q3=-89.9 μC are in a line. Particles q1 and q2 are separated by 0.220 m and particles q2 and q3 are separated by 0.330 m. What is the net force on particle q1?
Answers
Explanation:
, the net force will be felt on particle approximately 15.39 N to the right.
is prey abiotic or biotic?
Answers
Two particles of the same mass carry charges +3Q and –2Q, respectively. They are shot into a region that contains a uniform electric field as shown. The particles have the same initial velocities in the positive x direction. The lines, numbered 1 through 5, indicate possible paths for the particles. If the electric field points in the negative y direction, what will be the resulting paths for these particles?path 2 for +3Q and path 5 for –2Qpath 3 for +3Q and path 2 for –2Qpath 4 for +3Q and path 3 for –2Qpath 1 for +3Q and path 4 for –2Qpath 5 for +3Q and path 2 for –2Q
Answers
Under the given constances we will have that the paths they will follow will be:
*+3Q will follow path 5.
*-2Q woll follow path 2.
This is since we are given a direction for the electric field.
A ray of light incident in air strikes a rectangular glass block of refractive index 1.50, at an angle of incidence of 45°. Calculate the angle of refraction in the glass.
Answers
Answer:
Approximately \(28^{\circ}\).
Explanation:
The refractive index of the air \(n_{\text{air}}\) is approximately \(1.00\).
Let \(n_\text{glass}\) denote the refractive index of the glass block, and let \(\theta _{\text{glass}}\) denote the angle of refraction in the glass. Let \(\theta_\text{air}\) denote the angle at which the light enters the glass block from the air.
By Snell's Law:
\(n_{\text{glass}} \, \sin(\theta_{\text{glass}}) = n_{\text{air}} \, \sin(\theta_{\text{air}})\).
Rearrange the Snell's Law equation to obtain:
\(\begin{aligned} \sin(\theta_{\text{glass}}) &= \frac{n_{\text{air}} \, \sin(\theta_{\text{air}})}{n_{\text{glass}}} \\ &= \frac{(1.00)\, (\sin(45^{\circ}))}{1.50} \\ &\approx 0.471\end{aligned}\).
Hence:
\(\begin{aligned} \theta_{\text{glass}} &= \arcsin (0.471) \approx 28^{\circ}\end{aligned}\).
In other words, the angle of refraction in the glass would be approximately \(28^{\circ}\).
If an electromagnetic wave has a frequency of 6×10^5 hz, what is its wavelength? what is its wavelength? A. 2 x 10^12m, B. 5 x 10^14m, C. 5 x 10^2m, 2 x 10^-3m
Answers
Answer:
5*10^2
Explanation:
A p e x