a) The duration of the impact is approximately 0.00499 seconds (or 4.99 milliseconds).
b) The average force exerted on the nail is approximately 541.08 N.
a) To calculate the duration of the impact, we can use the equation:
Δx = v₀t + (1/2)at²
Where:
Δx = Displacement = 0.01 m (1 cm)
v₀ = Initial velocity = 9.00 m/s
t = Time
a = Acceleration
Since the hammer comes to rest, its final velocity (v) is 0 m/s. Therefore, we have:
0.01 = 9.00t + (1/2)at²
Since we are looking for the duration of the impact, the time (t) is the unknown variable. We can rearrange the equation:
(1/2)at² + 9.00t - 0.01 = 0
We can solve this quadratic equation to find the time (t) using the quadratic formula:
t = (-b ± √(b² - 4ac)) / 2a
In this case, a = (1/2)a and b = 9.00. Plugging in the values, we get:
t = (-(9.00) ± √((9.00)² - 4(1/2)(-0.01))) / 2(1/2)
Simplifying further:
t = (-9.00 ± √(81 + 0.04)) / 1
= (-9.00 ± √(81.04)) / 1
≈ (-9.00 ± 9.00499) / 1
We take the positive root since the time cannot be negative:
t ≈ (-9.00 + 9.00499) / 1
≈ 0.00499 s
Therefore, the duration of the impact is approximately 0.00499 seconds (or 4.99 milliseconds).
b) To calculate the average force exerted on the nail, we can use Newton's second law:
F = ma
Where:
m = Mass of the hammer = 0.300 kg
a = Acceleration
The acceleration (a) can be determined from the equation:
v = v₀ + at
Since the final velocity (v) is 0 m/s, we have:
0 = 9.00 + at
Solving for a:
a = -9.00/t
Plugging in the value of t calculated in part (a), we have:
a = -9.00/0.00499
≈ -1803.61 m/s²
Now we can calculate the force (F):
F = (0.300 kg)(-1803.61 m/s²)
≈ -541.08 N
The magnitude of the force is 541.08 N (positive since it represents the average force exerted on the nail during the impact).
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The complete question is:
A 0.300 kg hammer is moving horizontally at 9.00 m/s when it strikes a nail and comes to rest after driving the nail 1.00 cm into a board. Assume constant acceleration of the hammer–nail pair. (a) Calculate the duration of the impact (in s). (b) What was the average force (in N) exerted on the nail? (Enter the magnitude.)
consider building a system of two positive charges: is the work done by an external agent positive or negative?
By considering building a system of two positive charges: The work done by an external agent is negative.
Any attempt by an outside force to combine two positive charges would be harmful. This is done in order to overcome the electrical force that now opposes the movement of the two positive charges toward one another. Negative work is defined as an effort made to control a disagreeable factor. However, if the two positive charges are already close to one another and the external agent operates to separate them, the work done would be beneficial. This is due to how weak the electrical force that holds the two positive charges together becomes when they are separated, necessitating the aid of an outside force. When work done to separate charges, it is viewed favorably. It's important to keep in mind that the concept of work includes all kinds of forces, not only electrical ones. The sign of the work generated by an external source is determined by the force's direction and the charges' displacement. If both the force and the displacement are travelling in the same direction, the work is positive. If the force and displacement are moving in the opposite directions, the work is negative.
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an airplane flies from joint base lewis mcchord (jblm) to a undisclosed location 80 km south and 200 km east. in what direction should the plane fly?
Greetings from Joint Base Lewis-McChord, the base where I Corps and the 62 Airlift Wing are based. The flagship military facility on the West Coast for the Department of Defence is Joint Base Lewis-McChord, which is situated in the Puget Sound area of the Pacific Northwest.
What is the joint base lewis mcchord (jblm)?JBLM, the sole Army Power Projection Platform west of the Rocky Mountains, has since expanded to become the largest Army-led joint post in the United States.
Because of the 100 km/h speed, the net spirit of the plane will be in this activity. In order to determine the plane's motion with respect to the north, we first locate the theatre.
The calculation would be 100 km/h divided by 300 km/h. According to the formula, three would win 10 thetas.
Therefore, The plane's motion's angle determines whether it is respectable.
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Urgent! Which is not an example of work? Question 2 options: pushing a box across the floor picking up a box off the floor raising a barbell over your head trying to push a rock that never moves
Answer:
trying to push a rock that never moves
Explanation:
What causes the spinning tube of air created by winds moving in opposite directions to tip upwards and become vertical?
A
The updraft of wind in a supercell
B
Dust and debris picked up by a mesocyclone
C
The increasing speed of the tube’s rotation
D
A lack of gravity during stormy weather
The spinning tube of air created by winds moving in opposite directions to tip upwards and become vertical because of the updraft of wind in a supercell. Hence, option (A) is correct.
What is supercell?As a deep, continuously revolving updraft known as a mesocyclone, a supercell is a type of thunderstorm. This causes these storms to occasionally be called spinning thunderstorms.
Supercells, which are the least frequent and have the potential to be the most severe of the four types of thunderstorms (supercell, squall line, multi-cell, and single-cell), are the least common overall.
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Who created the periodic table
Answer:
Dimitri Mendeleev
In 1869 Russian chemist Dimitri Mendeleev started the development of the periodic table, arranging chemical elements by atomic mass. He predicted the discovery of other elements, and left spaces open in his periodic table for them.
When bitten by an animal, one should:
Keep the animal under observation for 14 days
Stay under observation for a doctor for 14 days
Wait for symptoms to develop
Consider rabies injections if the animal is not found
Please hurry!
Answer:
consider rabies injections if the animal is not found
hope it helps
Answer:
I think flush it out with soap and water for a while but for first aid Consider rabies injections
Explanation:
A ball of mass m=300g is connected by a strong string of length L=80.0 cm to a pivot and held in place with the string vertical. A wind exerts constant force F to the right on the ball as shown Figure The ball is released from rest. The wind makes it swing up to attain maximum height J above its starting point before it swings down again as F approaches infinity?
The ball reaches a maximum height of approximately 9.46 cm above its starting point before swinging back down again.
How to determine the maximum heightBased on the given information, we can use conservation of energy to solve for the maximum height J that the ball reaches.
At the highest point, all of the ball's initial potential energy (mgh) will have been converted to kinetic energy (1/2 mv²)
where v is the velocity of the ball.
The initial potential energy of the ball is given by mgh, where
m = 300 g = 0.3 kg
g = 9.81 m/s², and
h = L/2 = 0.4 m (since the ball starts from the vertical position and swings up to its highest point).
Therefore, the initial potential energy is:
mgh = (0.3 kg)(9.81 m/s²)(0.4 m) = 1.176 J
At the highest point, all of this potential energy will have been converted to kinetic energy, so:
1/2 mv² = 1.176 J
Solving for v, we get:
v = √((2×1.176 J) / m) = 1.377 m/s
Now we can use conservation of energy again to find the maximum height J.
At the highest point, all of the ball's kinetic energy will have been converted back into potential energy, so:
1/2 mv² = mgh_max
Solving for h_max, we get:
h_max = v² / (2g) = (1.377 m/s)² / (2×9.81 m/s²) = 0.0946 m
Note that the force F from the wind approaching infinity is not relevant to this calculation, since it only affects the motion of the ball (i.e. its speed and angle of swing), but not its maximum height.
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I need help with nine and 10 I will really appreciate it
Answer:
9] V = \(\frac{D}{T} \)
Take any distance value from the graph and its relevant time.
V = \(\frac{8}{4} \)
V = 2 m/s
[You will notice that any distance values with its time will give you 2 m/s as its speed. This means that speed is constant throughout.]
10] Take the distance value and its time for the highest peak of B.
V = \(\frac{20}{2} \)
V = 10 m/s
Which graph represents a car with positive acceleration?.
Explanation: a graph showing a steeper or none uniform or increase
Some metals have a molecular structure that makes them good conductors. Explain how understanding this relationship can help engineers make more powerful batteries.
Answer:
The answer to your problem is, Metals are electron rich and the delocalization of their free electrons make the materials conducting. Batteries are working in the principle of electrolysis where metal electrodes are used.
Explanation:
In electrochemical cells, the chemical energy is converted into electrical energy and the electrochemical reaction is initiated by applying a potential between the metal electrodes.
Batteries are working with this principle. Batteries contains an electrolyte and two metal electrodes such as lead, lithium, zinc etc, dipped in the electrolyte solution.
! When a potential is applied between the electrode one metal get reduced and one gets oxidised based on their electrode potential. The oxidised metal will release its electrons to the solution which make an electric current. !
Thus the answer to your problem is, Metals are electron rich and the delocalization of their free electrons make the materials conducting. Batteries are working in the principle of electrolysis where metal electrodes are used.
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When a golf club hits a 0.0459 kg ball at rest, it exerts a 2380 N force for 0.00100 s. What is the speed of the ball afterwards? (Unit = m/s)
Answer:
51.85m/s
Explanation:
Given parameters:
Mass of ball = 0.0459kg
Force = 2380N
Time taken = 0.001s
Unknown:
Speed of the ball afterwards = ?
Solution:
To solve this problem, we use Newton's second law of motion:
F = m x \(\frac{v - u}{t}\)
F is the force
m is the mass
v is the final velocity
u is the initial velocity
t is the time taken
2380 = 0.0459 x \(\frac{v- 0}{0.001}\)
0.0459v = 2.38
v = 51.85m/s
Answer:
2.38
Explanation:
F = dp/dt --> dp = F*dt ---> p = F*t if F is constant over time so
p = 2380N* 0.001 s = 2.38 kg-m/s
A solid cylinder with mass M. radius R, and rotational inertia 1/2MR² rolls without slipping down the inclined plane
shown above. The cylinder starts from rest at a height H. The inclined plane makes an angle with the horizontal.
Express all solutions in terms of M, R, H, theta, and g.
a. Determine the translational speed of the cylinder when it reaches the bottom of the inclined plane.
b. Show that the acceleration of the center of mass of the cylinder while it is rolling down the inclined plane is (2/3)g sin theta.
c. Determine the minimum coefficient of friction between the cylinder and the inclined plane that is required for the cylinder to roll without slipping.
a. The translational speed of the cylinder at the bottom of the inclined plane is v = sqrt(2gh); b. a = (2g sin(theta) / R) R = 2g sin(theta) is the acceleration of the center of mass of the cylinder down the inclined plane. Rolling Cylinder on Inclined Plane; c. The minimum coefficient of friction required for the cylinder to roll without slipping is equal to the tangent of the angle of the inclined plane.
Translational speed and frictional.The potential energy of the cylinder at the top of the inclined plane is Mgh, where g is the acceleration due to gravity. At the bottom of the inclined plane, all of this potential energy has been converted to kinetic energy, so:
1/2 M v^2 = Mgh
where v is the translational speed of the cylinder at the bottom of the inclined plane.
Solving for v, we get:
v = sqrt(2gh)
b. The force of gravity acting on the cylinder down the inclined plane has two components: one parallel to the plane, Mg sin(theta), and one perpendicular to the plane, Mg cos(theta).
The net torque on the cylinder is due to the parallel component of the force of gravity, which acts at a distance R from the center of mass of the cylinder. The torque is therefore:
τ = (Mg sin(theta)) R
The rotational inertia of the cylinder is 1/2MR^2, so the angular acceleration of the cylinder is:
α = τ / I = (Mg sin(theta)) R / (1/2MR^2) = 2g sin(theta) / R
The linear acceleration of the center of mass of the cylinder is
a = αR, so:a = (2g sin(theta) / R) R = 2g sin(theta)
This is the acceleration of the center of mass of the cylinder down the inclined plane.
c. In order for the cylinder to roll without slipping, the force of friction between the cylinder and the inclined plane must provide enough torque to prevent the cylinder from slipping.
The maximum force of friction is μN, where μ is the coefficient of friction and N is the normal force on the cylinder. The normal force is equal to the weight of the cylinder, Mg cos(theta). The torque due to the force of friction is:
τ_friction = μN R = μMg cos(theta) R
The torque due to the force of gravity parallel to the inclined plane is still Mg sin(theta) R. The net torque is therefore:
τ_net = Mg sin(theta) R - μMg cos(theta) R
For the cylinder to roll without slipping, this net torque must be equal to the torque due to the angular acceleration, which is (1/2)MR^2 α. Setting these two torques equal, we get:
Mg sin(theta) R - μMg cos(theta) R = (1/2)MR^2 (2g sin(theta) / R)
Solving for μ, we get:
μ = tan(theta)
So the minimum coefficient of friction required for the cylinder to roll without slipping is equal to the tangent of the angle of the inclined plane.
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2 An object has a negative charge. Which statement about the object is correct? A Electrons have been transferred onto it. B Electrons have been transferred away from it. C It has more positive charges than negative charges. D Positive charges have been transferred away from it.
Answer:
A . Electrons have been transferred into it.
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Tysm! Hope this helps!
A 1200 kg car is traveling 21.1 m/s. It collides with a stationary car of mass 1500 kg, and the two vehicles lock together. What is the speed of the combined cars immediately after the collision?
A) 7.5 m/s
B) 16.5 m/s
C) 9.4 m/s
D) 11.8 m/s
Answer:
C) 9.4 m/s
Explanation:
\(m_1\) = Mass of moving car = 1200 kg
\(u_1\) = Initial velocity of moving car = 21.1 m/s
\(m_2\) = Mass of stationary car = 1500 kg
\(u_2\) = Initial velocity of stationary car = 0
v = Velocity of the combined cars
As the momentum in the system is conserved we have
\(m_1u_1+m_2u_2=(m_1+m_2)v\\\Rightarrow v=\dfrac{m_1u_1+m_2u_2}{m_1+m_2}\\\Rightarrow v=\dfrac{1200\times 21.1+1500\times0}{1200+1500}\\\Rightarrow v=9.378\approx 9.4\ \text{m/s}\)
The velocity of the combined mass is 9.4 m/s.
Of all of the structures in a cell, which actually contains the cell's DNA? A. Mitochondria B. Cell membrane C. Nucleus D. Cytoplasm
Answer:
C. Nucleus
Explanation:
The nucleus, formed by a nuclear membrane around a fluid nucleoplasm, is the control center of the cell. Threads of chromatin in the nucleus contain deoxyribonucleic acid (DNA), the genetic material of the cell.
have a good day and here’s a funny comic just for fun! :)
Using the binding energy per nucleon number that you previously calculated for the isotope cobalt-60, is this a high amount of binding energy per nucleon according to the graph?
Answer: yes
Explanation: I did this question before
Answer:
Yes
Explanation:
I got it right on the test.
A 63-kg rock-climber is being pulled up the last 5.9 s of her climb by a rope. Her speed increases from 0 m/s to 2.9 m/s as she is being pulled upward. How much tension force is she applying to the rope?
The tension force the climber is applying to the rope is 926.34 N.
How do you calculate a rope's tension given its bulk and angle?The magnitude of strain (T) is the same for both ropes when the angles of suspension () are the same for two ropes. Use the equation 2T sin() = m g to calculate the tension, where m g is the weight of the suspended item.
To calculate the tension force, we can use the expression shown below:
Tension force = (mass * acceleration) + weight
We can apply the following kinetic equation to determine the climber's upward acceleration:
v = u + at
where the end speed is 2.9 m/s, the starting speed is 0 m/s, the acceleration is a, and the time is t. (5.9 s).
When we rearrange this solution to account for a, we obtain:
a = (v - u) / t
a = (2.9 m/s - 0 m/s) / 5.9 s
a = 0.492 m/s²
We can now enter the numbers into the first equation as follows:
Tension force = (mass * acceleration) + weight
Tension force = (63 kg * 0.492 m/s^2) + (63 kg * 9.81 m/s²)
Tension force = 308.91 N + 617.43 N
Tension force = 926.34 N
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Calculate the potential difference across a 25-Ohm. resistor if a 0.3-A current is flowing through it.
Answer:
I=0.3 A
R=25 Ohm
V=?
V=IR
0.3X25=7.5
Answer:
7.5 V
Explanation:
current × resistance = voltage
Which of the below is an action-oriented objective in a SMART goal setting system?
A) Increase my running speed to an 8 1/2-minute mile pace.
B) Run on the trail 4 times a week.
C) Complete the Rock 'n Roll marathon next year.
D) Increase my distance by one-half mile every other week
The action-oriented objective in a SMART goal setting system is option D) Increase my distance by one-half mile every other week.
This objective is specific, measurable, achievable, relevant, and time-bound. It is specific because it defines a clear action to be taken (increasing distance), measurable because it includes a specific metric (one-half mile), achievable because it is realistic to increase distance gradually, relevant because it aligns with the goal of completing a marathon, and time-bound because it specifies a regular interval (every other week) for progress tracking. Options A, B, and C are also specific and measurable but lack the regular interval and gradual progression aspects of a SMART goal.
In a SMART goal setting system, an action-oriented objective is one that focuses on specific actions to achieve the desired outcome. Among the given options, B) Run on the trail 4 times a week is the most action-oriented objective. This objective clearly outlines the action (running on the trail) and the frequency (4 times a week), making it easier to track progress and achieve the goal. The other options focus more on outcomes or results, which are important aspects of a goal, but they do not explicitly state the specific actions needed to reach those outcomes.
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At room temperature, what is the strength of the electric field in a 12-gauge copper wire (diameter 2.05 mm) that is needed to cause a 4.50-A current to flow? (b) What field would be needed if the wire were made of silver instead?
the electric field required to produce a 4.50-A current in a 12-gauge copper wire with a diameter of 2.05 mm at room temperature is 9.14 V/m. If the wire were silver, 6.89 V/m field would be required.
(a) To calculate the electric field needed to cause a current of 4.50 A to flow through a 12-gauge copper wire with a diameter of 2.05 mm at room temperature, we can use Ohm's law:
V = IR
where V is the voltage, I is current, and R is the resistance of the wire. The resistance of a copper wire can be calculated using the formula:
R = (rho * L) / A
where rho is the resistivity of copper, L is the length of the wire, and A is the cross-sectional area of the wire.
At room temperature (20°C), the resistivity of copper is 1.68 × 10⁻⁸ Ω·m. The cross-sectional area of a 12-gauge copper wire can be calculated using the formula for the area of a circle:
A = pi * r²
where r is the radius of the wire, which is half of the diameter. Thus,
r = 2.05 mm / 2 = 1.025 mm = 0.001025 m
A = pi * (0.001025 m)² = 8.28 × 10⁻⁶ m²
Let's assume that the length of the wire is 1 meter. Then the resistance of the wire is:
R = (1.68 × 10⁻⁸ Ω·m * 1 m) / (8.28 × 10⁻⁶ m²) = 2.03 Ω
Substituting the values for I and R into Ohm's law, we get:
V = IR = 4.50 A * 2.03 Ω = 9.14 V
The electric field needed to cause this current to flow is then:
E = V / L = 9.14 V / 1 m = 9.14 V/m
Therefore, the electric field needed to cause a current of 4.50 A to flow through a 12-gauge copper wire with a diameter of 2.05 mm at room temperature is 9.14 V/m.
(b) If the wire were made of silver instead of copper, the resistivity of silver at room temperature is 1.59 × 10⁻⁸ Ω·m. Using the same calculations as above, we get:
A = pi * (0.001025 m)² = 8.28 × 10^-6 m²
R = (1.59 × 10⁻⁸ Ω·m * 1 m) / (8.28 × 10⁻⁶ m²) = 1.53 Ω
V = IR = 4.50 A * 1.53 Ω = 6.89 V
E = V / L = 6.89 V / 1 m = 6.89 V/m
Therefore, the electric field needed to cause a current of 4.50 A to flow through a 12-gauge silver wire with a diameter of 2.05 mm at room temperature is 6.89 V/m.
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The forces exerted by Earth and a skier become an action-reaction force pair when the skier pushes the ski poles against Earth. Explain why the skier accelerates while Earth does not seem to move at all.
Because of the earth's large mass and solid structure, the skier moves but the earth does not.
Why can't the earth be moved?Because the Earth is such a massive body, it cannot be moved by applying force to it. Because it cannot be moved with a small amount of forceThe amount of matter contained in an object is what gives it inertia, or the tendency of matter to remain at rest if at rest, or to continue moving in the same direction at the same speed if moving. The greater an object's mass, the greater its gravitational force.Mass is the quantity that is solely determined by an object's inertia. The greater an object's inertia, the greater its mass. A heavier object is more likely to resist changes in its state of motion. we can conclude that the skier moves but the earth does not due to the large mass of the earth and its solid structure.To learn more about earth refer to :
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what is another name for the magnitude of the velocity vector
Answer:dddddddddddddddddddd
Explanation:
what is the average acceleration (aav) of the particle over the first 20.0 seconds? express your answer in meters per second per second.
Particles accelerate on average at 0.075 m/s2 (0.075 m/s2).
How do you calculate a particle's typical acceleration?The formula -a=vt=vfv0tft0, where an is the average acceleration, v is the velocity, and t is the time, represents the rate at which velocity changes. (The bar above the letter a indicates average acceleration.)
What is an illustration of average acceleration?The average acceleration is calculated as the velocity change divided by the passing of time. A marble's average acceleration, for instance, is 20 cm/s when its velocity increases from 0 to 60 cm/s in three seconds. This implies that the marble will move at a rate of 20 cm/s per second.
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A dart gun is fired horizontally from a height of 1.5 m above the floor. The dart then lands on the floor
4 meters from the edge of the table. Determine the initial velocity of the marble as it leaves the
launcher.
Let v be the speed of the projectile, be it a dart or a marble. It covers a horizontal distance x with height y at time t according to
x = v t
y = 1.5 m - 1/2 g t²
where g = 9.80 m/s² is the magnitude of the acceleration due to gravity.
The projectile lands 4 m from the table, so it hits the ground at time t such that
4 m = v t ==> t = (4 m) / v
It's on the ground, so that y = 0 at this time. Substitute this into the height equation and solve for v :
0 = 1.5 m - 1/2 g ((4 m) / v)²
v² = (g (16 m²)) / (3.0 m)
v ≈ 7.23 m/s
what are the major examples of functional groups? i. which are polar? which are non-polar? which are charged? how can you tell? be able to identify each one as either polar, non-polar, charged based on its structure
A polar molecule is usually formed when the one end of the molecule is said to possess more positive charges and whereas the opposite end of the molecule has negative charges, creating an electrical pole.
What is polar molecules?
The unequal sharing of electrons between the atoms and the unsymmetrical shape of the molecule means that a water molecule has two poles -
a positive charge on the hydrogen pole (side) and
a negative charge on the oxygen pole (side).
We say that the water molecule is electrically polar.
What is non -polar molecule?A nonpolar molecule is one whose charge distribution is spherically symmetric when averaged over time; since the charges oscillate, a temporary dipole moment exists at any given instant in a so-called nonpolar molecule.
These temporary dipole moments fluctuate rapidly in magnitude and direction,…
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What is the average speed of a bird that flies 1 km in 30 minutes?
Answer:
Explanation:
he answer is 1
An object moving at a constant speed requires 6.0 s to go once around a circle with a diameter of 4.0 m. What is the magnitude of the instantaneous acceleration of the particle during this time? a. 2.2 m/s^2 b. 2.7 m/s^2 c. 3.3 m/s^2 d. 3.8 m/s^2 e. 4.4 m/s^2
The magnitude of the instantaneous acceleration of the object during this time is approximately 2.2 m/s^2 (option a).
To find the magnitude of the instantaneous acceleration of the object moving in a circle, we will first find the object's speed and then use the formula for centripetal acceleration. Here's a step-by-step explanation:
1. Determine the circle's radius:
The diameter of the circle is given as 4.0 m, so the radius (r) is half of that: r = 4.0 m / 2 = 2.0 m.
2. Calculate the circumference of the circle:
Circumference (C) = 2 * π * r = 2 * π * 2.0 m ≈ 12.57 m.
3. Calculate the object's speed:
The object takes 6.0 s to go once around the circle. Therefore, its speed (v) is the circumference divided by the time: v = C / t = 12.57 m / 6.0 s ≈ 2.095 m/s.
4. Calculate the centripetal acceleration:
The formula for centripetal acceleration (a_c) is a_c = v^2 / r. Substitute the values of v and r into the formula: a_c = (2.095 m/s)^2 / 2.0 m ≈ 2.2 m/s^2.
So, the magnitude of the instantaneous acceleration of the object during this time is approximately 2.2 m/s^2 (option a).
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Which of the following careers is most likely to require business skills?
Systems Analyst
Hardware Engineer
Software Engineer
Database Administrator
Answer:
C. Software Engineer
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Which is an example of convection currents?
marshmallows toasting over a campfire
a pot being heated by an electric burner
feet getting hot when stepping across sand
a radiator emitting warm air and drawing in cool air
Answer:
D-A radiator emitting warm air and drawing in cool air
Explanation:
why is velocity called vector quantity while speed is a scalar quantity
Answer:
velocity is the rate of change of distance moved with a time in a specific direction. While speed is the rate if distance with time in no specific direction