While investigating the relationship between voltage, current, and resistance, students connected different batteries to different circuits
and recorded measurements of battery voltage and current flowing through the battery. They then produced the model shown below.
Based on the data provided in the graphical model, what claim can be made about the resistance of the circuit?
A._The resistance of the circuits increased as battery voltage increased.
B._ The resistance of the circuits decreased as a battery voltage increased.
C._ The resistance of the circuits remained constant as the battery voltage increased.
D._ The resistance of the circuits could have either increased or decreased as the battery voltage increased.
Answers
Produced the model is the resistance of the circuits decreased as a battery voltage increased (option-B).
What connection does there exist between voltage and current, current and resistance, and voltage and resistance?Ohm's Law describes how current, voltage, and resistance are related to one another. According to this, as long as the temperature doesn't change, the current flowing through a circuit is directly proportional to the applied voltage and inversely proportional to the resistance of the circuit.
The more work a certain quantity of electrons can accomplish at a given voltage. The quantity of electrons that are presently moving through any one point in a circuit at any particular time is known as the current. At the same voltage, a larger current can perform more work. Current times voltage equals power.
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Answer:
b
Explanation:
Related Questions
If you drive at 120km/hr for 5 hours, how far will you go?
Distance:
Speed:
Time:
Answers
The distance of the travel covered within 5 hours with a speed of 120km/hr is the product of time and this speed and it is 600 km.
What is velocity?Velocity of a substance is the measure of distance travelled per unit time. Thus it is the ratio of distance to time.In physics, velocity is the rate of speed.
Velocity = distance/time.
Hence, as the time taken for the travel increases velocity will decreases. The time given here is 5 hours and the speed of the vehicle is 120 km/hr. Hence, the distance can be calculated as follows:
Distance = time × speed
= 5 hr × 120 km/hr
= 600 km.
Hence, if you drive at a speed of 120 km/hr for 5 hours you will cover a distance of 600 km.
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What is the fastest speed a tennis ball can cross the net horizontally and still land in the court? from the net to the end line is 12 m, and the height of the net is 1 m. neglect air resistance and spin of the ball.
Answers
The maximum velocity of the tennis ball when it cross the net in order to still land in the court is 26.7 m/s
The trajectory of the tennis ball follow a projectile motion. When it cross the net, it can be considered it is at its maximum height.
At this position, the component of the velocity is only in x direction.
Vertical direction:
h = 1/2 . g t²
Where:
h = maximum height
g = acceleration due to gravity = 9.8 m/s²
t = time to land
Substitute h = 1 m
t² = 2/g = 0.204
t = 0.45 seconds
Horizontal direction:
x = v . t
12 = v . 0.45
v = 12 / 0.45 = 26.7 m/s
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the distance between two successive minima of a transverse wave is 2.76 m. five crests of the wave pass a given point along the direction of travel every 14.0 s. find (a) the frequency of the wave and (b) the wave speed.
Answers
The wave's frequency is 0.35 Hz, and its velocity is 0.9857 m/s. Wave speed is the amount of space a wave covers in a certain length of time, such as how many meters it covers in a second.
How fast or how fast is a wave?Despite the fact that technically, velocity implies both direction and speed wave velocity is most often used to describe speed. Wave intensity has no bearing on a wave's velocity, which is determined by the product of the its wavelength and frequency.
Wave speed and frequency: what are they?A stationary point is traversed by waves at a specific frequency over a specified period of time. The following equation demonstrates the connections between the three variables: Wavelength × Wave Frequency = Speed. This equation uses the units of meters for wavelength and hertz (Hz) for frequency, or the number many waves per second.
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what physical feature of mars is atypical compared with the other terrestrial planets? what physical feature of mars is atypical compared with the other terrestrial planets? its size its rotation rate its atmospheric content its density its surface composition
Answers
The answer of this is "Its surface composition"
Mars is the fourth planet from the Sun and the next planet beyond Earth. It is, on average, more than 142 million miles from the Sun.
Its surface is rocky, with canyons, volcanoes, dry lake beds and craters all over it. Red dust covers most of its surface. Mars has clouds and wind just like Earth. Sometimes the wind blows the red dust into a dust storm. Tiny dust storms can look like tornados, and large ones can be seen from Earth. Mars’ large storms sometimes cover the entire planet.
Mars has about one-third the gravity of Earth. A rock dropped on Mars would fall more slowly than a rock falls on Earth. A person who weighs 100 pounds on Earth would only weigh about 38 pounds on Mars because of the reduced gravity.
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Two nucleotides on the same strand form a __________ bond while two complimentary bases on opposite strands form ____________ bonds. An a-t base pairing forms _____ such bonds.
Answers
Two nucleotides on the same strand form a Phosphodiester bond while two complimentary bases on opposite strands form Hydrogen bonds. An a-t base pairing forms 2 such bonds.
In DNA double helix, the individual constituents are called nucleotides. These nucleotides are composed of bases which are linked together though covalent linkage also known as a phosphodiester bond.
Two individual strands in DNA are formed by the combination of phosphodiester linkages.
In general, with in a DNA nucleotides, hydrogen bonds are present which join the complementary pairs of bases. For example, two hydrogen bonds are present between thymine and adenine while three hydrogen bonds are present between cytosine and guanine.
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What is the relationship between generator and energy input
Answers
The relationship between the generator and the energy input is the fact that the generator uses mechanic energy as input to produce electricity.
What is an electrical generator device?An electrical generator device is any instrument capable of generating electrical activity using any source of energy as a source for such purpose, such as the movement (motion of mechanical energy) of a turbine.
Therefore, with this data, we can see that an electricity generator device is a given instrument used to generate electricity by exploiting the mechanical energy generated through a particular process.
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if you toss a ball to your friends when the ball reaches its maximum altitude it’s vertical acceleration is what? is it 0 m/s or -9.81?
Answers
The vertical acceleration of the ball at its highest altitude is 0 m/s.
Has the acceleration ever been zero?It is possible for an item to have both zero acceleration and non-zero velocity because acceleration is the change in velocity. Since there is no change in velocity while an object is moving at a constant speed, it experiences no acceleration.
At maximum height, is vertical velocity zero?The bullet reaches its highest point when its vertical velocity is zero. The vertical portion of the velocity vector will now point downward. The projectile's horizontal range, which is determined by the object's beginning velocity, is referred to as the projectile's range.
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what is the compressive stress exerted on the soles of your feet by your body weight? assume that each foot has a contact area of 200 cm2, the stress spreads out evenly over that area and that your mass is 72 kg.
Answers
The stress that spreads over the soles of the feet by the body is 18000 N/m².
The compressive stress exerted on a body is given by the force applied to the body divided by the area,
So, we can write,
Stress = force/area
In this case, the force will be equal to the weight of the body.
F = Mg
M is the mass of the person,
g is the acceleration due to gravity.
F = 72×10
F = 720N
The area of the soles is given to be 200 cm²
Converting into meter square,
Area = 0.02 m²
As there are two soles,
Area = 0.04
Putting values to find stress,
Stress = 720/0.04
Stress = 18000N/m²
So, the stress on the soles is 18000 N/m².
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when an object moves at a constant speed against friction on a horizontal tabletop, there is an increase in the object's a) potential energy b) temperature c) acceleration d) momentum
Answers
any procedure where velocity fluctuates
What is acceleration, briefly?
Any procedure where the velocity varies is referred to as acceleration. There are only two methods to accelerate because velocity is both a speed and a direction: changing your speed or changing your direction.
An object has positive acceleration if it is accelerating and travelling in the right direction. Positive acceleration was demonstrated in the first example by the speeding car. The acceleration is in the same direction as the car's motion because it is moving forward and speeding up.
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At any any procedure where velocity fluctuates.
What is acceleration, briefly?Acceleration is the general term for any process where the velocity changes. Because velocity is both a speed and a direction, there are only two ways to accelerate: altering your speed or changing your direction.If an object is accelerating and moving in the appropriate direction, it has positive acceleration. The speeding automobile in the first scenario showed positive acceleration. Since the car is moving ahead and accelerating, the acceleration is also travelling in the same direction.The change in velocity over a specific time period is known as acceleration. Any moment the speed or direction of motion changes, acceleration has taken place. Acceleration is zero at constant velocity. Negative acceleration or deceleration is the term for slowing down.To learn more about acceleration refer to
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a playground merry-go-round has a mass of 120 kg and a radius of 1.80 m and it is rotating with an angular velocity of 0.600 rev/s. what is its angular velocity (in rev/s) after a 21.0 kg child gets onto it by grabbing its outer edge? the child is initially at rest.
Answers
The value of the final angular velocity = 0.44 rev/s
How to calculate the angular velocity?Let Initial angular momentum = [tex]L_{i}[/tex]
Let Final angular momentum = [tex]L_{f}[/tex]
Here, mass of merry go round = [tex]m_{m}[/tex] = 120 kg
radius= r = 1.8 m
initial angular velocity = [tex]w_{i} = 1.2 \pi[/tex]rad/s
mass of the child = [tex]m_{c}[/tex] = 21kg
By law of conservation of angular momentum,
[tex]L_{i}=L_{f}\\\\I_{m}w_{i}=I_{m+c} w_{f}\\\\w _{f} =\frac{I_{m}w_{i}}{I_{m+c}}[/tex]
Here, substitute [tex]I = \frac{mr^{2} }{2}[/tex]
[tex]w _{f} =\frac{I_{m}w_{i}}{I_{m+c}}\\\\w _{f} =\frac{\frac{m_{m}{r _{m}}^{2}}{2} w_{i}}{\frac{m_{m}{r _{m}}^{2}}{2}+{m_{c}r_{c}}^{2} }\\\\w _{f}= \frac{\frac{120(1.8)^{2} }{2} *1.2\pi}{\frac{120(1.8)^{2} }{2} +21(1.8)^{2}}\\\\w _{f} = 2.8 rad/s[/tex]
The value of the final angular velocity = 2.8 rad/s
=2.8/2 π
= 0.44rev/s
What is angular velocity?The rotation rate, which refers to how quickly an object rotates or revolves in relation to another point, is measured vectorially using angular velocity. The speed at which an object rotates or revolves around an axis is known as its angular velocity. Because a point on a rotating object constantly changes direction, it is challenging to determine the direction of the angular velocity. The rotating object only has a fixed direction at its axis.To learn more about angular velocity, refer:
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Which of these is true for both natural and artificial selection?
A. They both occur randomly and spontaneously.
B. They both involve the extinction of unfit species.
C. They both result in the enrichment of certain alleles over others.
D. They both require human involvement to choose the most desirable traits
Answers
Answer:
c is answer
Explanation:
Humans allow only organisms with favorable traits to reproduce. Is this true of natural selection, artificial selection or both? Competition for resources determines reproductive success.
two snowmen, one having a mass of 15.0 kg and one having a mass of 20.0 kg, are sitting in a backyard 4.00 m away from each other. where could a third snowman be placed such that the net gravitational force on it by the other two is zero? treat each snowman as an object.
Answers
The third snowman will be placed at a distance of 2.1m from the 15.0 kg mass such that the net gravitational force on it by the other two is zero .
Mass of the snowman 1 = M1 = 15 kg
Mass of the snowman 2 = M2 = 20 kg
Distance between both the masses = r = 4 m
Gravitational force is the force that attracts any two objects of mass.
It is also called as attractive force because it always tries to pull masses together, never pushes them apart.Every object in the universe pull each other with the attractive force.Mathematically, Gravitational force, F = [tex]\frac{GM1M2}{r^{2} }[/tex]where G is the gravitational force constant,
M1 and M2 are the masses of the two different bodies respectively,
r is the distance between the masses.
F = [tex]\frac{GM1M2}{r^{2} }[/tex]
Let the mass M3 be the mass which lies between the masses such that the net gravitational force on it by the other two is zero.
F = [tex]\frac{GM1M3}{(r-d)^{2} }[/tex] = [tex]\frac{GM2M3}{(d)^{2} }[/tex]
here 'd' is the distance at which the mass M3 will be placed such that the net gravitational force on it by the other two is zero.
[tex]\frac{GM1M3}{(r-d)^{2} }[/tex] = [tex]\frac{GM2M3}{(d)^{2} }[/tex]
[tex]\frac{M1}{(r-d)^{2} }[/tex] = [tex]\frac{M2}{(d)^{2} }[/tex]
[tex]\frac{15}{(4-d)^{2} }[/tex] = [tex]\frac{20}{(d)^{2} }[/tex]
3[tex]d^{2}[/tex] = 4[tex](4-d)^{2}[/tex]
3[tex]d^{2}[/tex] = 4 (16 + [tex]d^{2}[/tex] - 2*4*d)
3[tex]d^{2}[/tex] = 64 + 4[tex]d^{2}[/tex] - 32d
[tex]d^{2}[/tex] - 32d + 64 = 0
On solving the above quadratic equation we get the values of d as;
d1 = 29.
d2 = 2.1
Since the d is the distance between the two masses therefore it must be less than 4 m, therefore d2 will be considered as the value of d.
Hence the mass M3 should be placed at a distance of 2.1 m away from the mass M1 to get zero as the net gravitational force
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part beach child holds the end of a rope and child b pulls on the rope so that he moves toward child a. how far will child b have moved when he collides with child a?
Answers
3.813m far will child b have moved when he collide with child a.
We know that,
[tex]x_{cm}[/tex]=[tex]\frac{m_{a} x_{a} +m_{b} x_{b} }{m_{a}+x_{b} }[/tex]
[tex]x_{cm}[/tex]=26(0)+49(11)/26+49=7.187
A=From a is 7.187m
B=we forces know that, the internal can't change the motion of CM. SO they will meet Collide at their C.M.
B has to move the distance from B→C.M. So they will meet Collide at their C.M B will forces.
11-7.187 = 3.863
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the distance between x-ray tube and the bucky (the area that stores the film), is referred to as the .
Answers
An x-ray cassette is kept in a device called a "bucky" that resembles a drawer. It can be installed either on the wall or underneath the exam table.
These days, buckys have an internal grid that absorbs dispersed radiation to enhance the clarity of x-ray images. The oscillating option that modern buckys have added further aids in preventing scattered radiation from reaching the x-ray cassette and increases the quality of the x-ray image.To ensure that a high-quality x-ray image is created when using Bucky, an increase in radiation exposure parameters (kVp and mAs) is necessary. If Bucky is not utilized, the same x-ray technique can be carried out with lower exposure factors, but the image quality will suffer.To know more about x-ray
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What is the velocity of an orange that falls from the rest for 2.17 seconds
Answers
The final velocity of the orange will be equal to 21.27 m/s.
What is the equation of motion?The equations of motion have established the relationship between the acceleration, velocity, time, and displacement (s) of a moving object.
The equations of motions can be mathematically expressed as:
[tex]v = u +at\\S=ut +\frac{1}{2}at^2\\ v^2-u^2=2aS[/tex]
Given, the velocity of the orange was at rest initially, therefore, u = 0
The time taken by the orange to fall, t = 2.17 s
The acceleration of orange due to gravity, g = 9.8 m/s²
From the first equation of motion, we can find the final velocity after 2.17 s:
v = u +gt
v = 0 + (9.8) × 2.17
v = 21.27 m/s
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If a 50 N force is applied to a lever and the lever is then able to lift a 150 N object, what is the mechanical advantage of the lever?
Answers
Answer:
3
Explanation:
m.a=load÷effort
thus 150N÷50N=3
You are fighting with your sibling over a 2 kg toy. you apply a force of tension on the toy equal to 8n. your sibling causes the toy to experience an acceleration of 4m/s2 in the opposite direction. what is the net force that the toy feels?
Answers
The net force on the toy is 0 Newton.
The mass of the toy is 2 kg.
The force F₁ is the tension applied by one of the siblings on the toy is 8N.
Let us assume that the force applied by the other sibling is F₂, which is produced by the acceleration is 4m/s².
We know,
Force = Mass x acceleration
Putting values,
F₂ = 2 x 4
F₂ = 8N.
As we know that the forces are in opposite directions because the toy is being pulled by both the siblings in their respective directions which are opposite to each other.
Hence, the net force F is given by,
F = F₁ - F₂
F = 8-8
F 0N.
Hence, there is no net force on the toy.
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Calculate the velocity of the 2.0 kg mass just before it hits the
rocks when it is dropped from a height of 16 m above the surface
of the rocks. Give the unit.
Velocity:........
Unit: .......
Answers
The velocity of the 2.0 kg mass just before it hits the rocks when it is dropped from a height of 16 m above the surface of the rocks will be 17.738 m/s in downward direction
given
u = 0
m= mass = 2 kg
height = 16 m
v = ?
using kinematics equation
-s = ut - 1/2* g * [tex]t^{2}[/tex]
t = [tex]\sqrt{2s/g}[/tex]
time = [tex]\sqrt{(2*16) / 9.8}[/tex]
= [tex]\sqrt{3.27}[/tex]
= 1.81 seconds
v = u - gt
v = -g t = -9.8 * 1.81 = -17.738 m/s
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an air-filled parallel-plate capacitor has a capacitance of 1.5 pf. the separation of the plates is doubled and wax is inserted between them. the new capacitance is 3.0 pf. find the dielectric constant of the wax.
Answers
The dielectric constant of the wax is 2.
The dielectric constant of wax is the ratio of the capacitance of a capacitor that has wax between its plates to its capacitance when there is no wax between its plates.
This can be calculated by first finding the total capacitance of the capacitor with wax in between it:
C = 2 * pf * (0.5cm)^2
= 1.5 pf
Then, we can calculate the change in capacitance:
C' = C - C
= 2 pf * (0.5cm)^2 - 1.5 pf
= 0.5 pf
Finally, we divide 1/0.5 to find C'/C = 2, so we conclude that the dielectric constant for wax is 2, or twice as large as air's dielectric constant of 1!
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A Mexican Jumping Bean jumps with the aid of a small worm that lives inside the bean. The bean and the worm have a combined mass of 0.002
kg. The bean can jump to a height of 0.01 m.
a. Calculate the potential energy at the maximum height.
b. Determine the total mechanical energy at the maximum height.
c. Determine the potential energy at a height of 0 m (before it lands).
d. Determine the total mechanical energy at a height of 0 m (before it lands).
e. Determine the kinetic energy at a height of 0 m (before it lands).
f. Calculate the velocity at a height of 0 m (before it lands).
Answers
The potential energy at the maximum height is 0.000196 J, the total mechanical energy at the maximum height is 0.000196 J, the potential energy at a height of 0 m is 0 J, the total mechanical energy at a height of 0 m is 0.0001936 J, the kinetic energy at a height of 0 m is 0.0001936 J and the velocity at a height of 0 m (before it lands) is 0.44 m/s.
What is potential energy?Potential energy is stored energy that depends on the relative positions of the various parts of the system. When a spring is compressed, its potential energy is increased.A steel ball has more potential energy lifted off the ground than after it hits the ground. Potential energy is the energy stored in an object or matter. This stored energy is based on the position, placement, or state of an object or matter. Rocks at the edge of cliffs have potential energy. Potential energy is converted into kinetic energy when the stone falls. High branches of a tree have potential energy because they can fall to the ground.To learn more about potential energy from the given link :
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To open a box, you apply 50 N of force to a crowbar. the crowbar applies 450 N of force to the lid of the chest. What is the mechanical advantage of the crowbar?
Answers
Answer: The mechanical advantage of the crowbar 9
Answer:
9
Explanation:
50N-load
450N-effort
m.a=load÷effort
450÷50=9
A boat crosses a river at 6.65 mph north through a current going 9.87 mph east. What is the resultant velocity of the boat?
Answers
Answer:
V = √ ( 6.65² + 9.87² ) ≈ √ 141.64 = 11.90 mph
The ball is about to hit the ground.
It has a kinetic energy store of 110 J.
Ignoring the effects of friction, what is the maximum elastic potential energy store of the ball when it is fully compressed after hitting the ground?
Answers
The maximum elastic potential energy store of the ball when it is fully compressed after hitting the ground is 110 J
Since the effects of friction is ignored, there is no loss of energy as heat. So the entire elastic potential energy store of the ball is converted into kinetic energy store.
Elastic potential energy = Kinetic energy
Kinetic energy = 110 J
Elastic potential energy = 1 / 2 k x²
Kinetic energy = 1 / 2 m v²
k = Spring constant
x = Displacement
m = Mass
v = Velocity
If friction is ignored,
1 / 2 k x² = 1 / 2 m v²
v / x = √ ( k / m )
Therefore, the maximum elastic potential energy store of the ball is 110 J
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PLS help confused. Will mark brainiest for the right answer.
Answers
Answer:
B
Explanation: You (with the ball in your hand)would move in the direction of the ball's initial motion. Momentum!
Answer: You would move backward.
Explanation: You would push back because you would move in the direction of the ball's initial motion. The ball's initial motion is to come toward you, so you would most likely move backward.
Let me know if this is right! :)
an ac adaptor for a telephone answering unit uses a transformer to reduce the line voltage of 80 v (rms) to a voltage 9.8 v. the rms current delivered to an answering system is 392 ma. if the primary (input) coil in the transformer in the adaptor has 170 turns, how many turns are there on the secondary (output) coil? answer in units of turns.
Answers
The secondary coil of the transformer is 21 turns.
We need to know about transformers to solve this problem. The transformer is a device that changes the output voltage by using different turns on its coil. The ratio of output voltage and input voltage should follow this equation
Vo / Vi = Ns / Np
where Vo is output voltage, Vi is input voltage, Ns is secondary turns and Np is primary turns.
From the question above, the given parameters are
Vi = 80 V
Vo = 9.8 V
Np = 170 turns
By using the equation, we can calculate the secondary turns
Vo / Vi = Ns / Np
80 / 9.8 = 170 / Ns
Ns = 170 . 9.8 / 80
Ns = 20.825
Thus we can round the secondary turns to 21.
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two forces whose resultant is 10N are perpendicular to each other. if one of them makes an angle of 60 with the resultant, calculate its magnitude
Answers
The magnitude of the resultant with respect to one of the vectors is [tex]10 \sqrt{3} \mathrm{~N}[/tex].
The resultant of two force is given by [tex]$F=\sqrt{A^2+B^2+2 A B \cos \theta}$[/tex] where, [tex]$A \& B$[/tex] are two vectors & [tex]$\theta$[/tex] is the angle between them.
Magnitude or resultant is [tex]$\sqrt{2 \times 10^2+2 \times 100 \cos 60^{\circ}}=10 \sqrt{3} \mathrm{~N}$[/tex].
A force is an influence in physics that can modify the velocity of an object. A force can cause a mass item to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The term "force" has a specific meaning in science. At this level, it is quite acceptable to refer to a force as a push or a pull. A force is not something that an object 'has in it.' Another object applies a force to another. The concept of a force is not limited to living or nonliving things.
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What is the direction of acceleration at all points in the projectile's path?
Answers
allison has to design a device that converts energy between two different forms. she decides she wants to convert electrical energy into motion and sound. which invention should she model her design after?
Answers
The motor is an excellent invention for Allison to use as a model for her device.
People use both interchangeably, but the difference is that motors run on electricity and engines run on combustion. The engine converts various forms of fuels into mechanical force, while the motor transforms electrical energy into mechanical energy.
They operate using principles of electromagnetism, which shows that a force is applied when an electric current is present in a magnetic field. This force creates a torque on a loop of wire present in the magnetic field, which causes the motor to spin and perform useful work.
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A ball is thrown from a 10 m high cliff at the velocity 20 ms-¹ with an angle of 30° to the horizontal plane as shown in the picture below. 40 m from the edge of the cliff is a 10 m high wall. a) Will the ball pass over the wall? b) If not, where will it hit the wall and with what velocity?
Answers
(a) The ball will not pass over the wall
(b) The velocity is 21.45m/s
It is the amount of change in velocity per unit time. The velocity change can be calculated using the formula: velocity change = final velocity - initial velocity. This is the time when: The rate of change in velocity is expressed in
Given
A ball is thrown from a 10 m high cliff at the velocity 20 ms-¹ with an angle of 30° to the horizontal plane as shown in the picture below. 40 m from the edge of the cliff is a 10 m high wall.
We have to determine
a) Will the ball pass over the wall?
b) If not, where will it hit the wall and with what velocity?
From the given information
Initial velocity v =20m/s
Initial velocity along x direction vx = vcos300
= 20 cos300
= 20 x 0.866
= 17.32m/s
Initial velocity along y direction vy = v sin300
= 20 sin300
= 20 x 0.5
= 10m/s
Displacement along +ve x = 40m
Time required to travel t = x/vx
= 40/17.32
= 2.31seconds
At this time displacement of the ball along the y direction
Sy = vyt – 1/2gdt2
= 10x2.31 – ½ x 9.81 x (2.31)2
= 23.10 – 26.17
= - 3.07m
Since displacement is in a negative value, it will hit the wall and will not pass over the wall
The ball will hit at d distance from the ground
H = (10 – 3.07)
= 6.93m
Final velocity along +ve y = v’y = vy –gt
= 10 – 9.81 x 2.31
= 10 – 22.66
=-12.66m/s
velocity along +ve x = v’y = vx
= 17.32m/s
So-net velocity of the ball v’= √((v^' x)^2+(v^' y)^2 )
= √(〖(17.32)〗^2+〖(-12.66)〗^2 )
= 21.45m/s
Therefore
(a) The ball will not pass over the wall
(b) The velocity is 21.45m/s
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(ii) a spring with hangs vertically next to a ruler. the end of the spring is next to the 15-cm mark on the ruler. if a 2.5-kg mass is now attached to the end of the spring, and the mass is allowed to fall, where will the end of the spring line up with the ruler marks when the mass is at its lowest position?
Answers
If a 2.5 kg mass is attached to a spring with k = 53 N/m, the spring will stretch to 61 cm.
Missing data from the problem:
A spring with spring constant (k) 53 N/m is hang vertically.
Original length of the spring = 15 cm = 0.15 m
A mass of 2.5 kg is attached to the end of the spring.
According to the Hooke's Law:
F = - kx
Where:
F = force applied on the spring
x = spring displacement
From the problem, the only force is the weight of the mass:
F = w = m . g (g = 9.8 m/s²)
F = 2.5 . 9.8 = 24.5 N
Substitute k = 53 N/m,
24.5 = 53 . x
x = 24.5/53 = 0.46 m = 46 cm
Therefore the final length of the spring = 15 + 46 = 61 cm
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