Initial velocity of 2.4 m/s and an angle of 60°.
The x component is 2.4 m/s cos(60°) = 2.4 m/s (0.5) = 1.2 m/s
The y component is 2.4 m/s sin(60°) = 2.4 m/s (0.866) = 2.08 m/s
What is Initial velocity?Initial velocity is the speed an object has when it starts moving in a certain direction. It is the speed that an object has before any external forces act upon it. Initial velocity is a vector quantity, meaning it has both a magnitude, or size, and a direction. Initial velocity is usually measured in meters per second (m/s). It is important to note that the initial velocity of an object can be different depending on the reference frame from which it is measured.
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The complete question is-
A paper airplane is thrown with an initial vclocity of 2,4 m and angle of 60" Find the Voz: 012m/s 0.62 mn/& 0 1.70 m/8 208 m/$
how long after closing the switch s will the potential across each capacitor be reduced to 15.0 v ?
The time taken can be calculated by the equation: t = -RC ln(15/50)
To determine how long after closing the switch s the potential across each capacitor will be reduced to 15.0 V, we need to know the initial potential across the capacitors, the capacitance value and the resistance in the circuit.
When a switch is closed, the potential across a capacitor decreases exponentially with time according to the equation:
V(t) = V0e^(-t/RC)
Where V0 is the initial potential across the capacitor, t is time, R is the resistance in the circuit, and C is the capacitance.
In this case, the initial potential across each capacitor is 50.0 V, and the resistance in the circuit is 80 ohms.
To find the capacitance value we need to know that the capacitors are parallely connected, which means that the total capacitance is the sum of the individual capacitances:
Ctotal = C1 + C2
Once we have the capacitance value, we can find the time constant RC:
RC = R / Ctotal
Now we can use the equation above to find the time it takes for the potential to decay to a certain percentage of the initial value.
For example, if we want to find the time it takes for the potential to decay to 15.0 V (30% of the initial value), we can use the following equation:
15.0 V = 50.0 Ve^(-t/RC)
and we can solve for t:
t = -RC ln(15/50)
It's worth noting that this is an estimation and that in real world situations the resistance and capacitance values are also affected by other factors such as leakage current or parasitic capacitances.
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What area of glass is needed to support a mass of 1000 kg if the glass can withstand a maximum pressure of
20kPa?
Answer:
since, Pressure=Force/Area
then,Area=Force/Pressure
or,Area=20000/1000
:.Area=20 m²
If a net force of 10 newtons acts on a 6 kilogram mass of 8 seconds, the total change of momentum of the mass is
The total change in momentum of the mass is calculated to be 80.16 kg m/s.
Given that,
Force F = 10 N
Mass m = 6 kg
Time t = 8 sec
"Newton's second law states that F = m a."
Making 'a' as subject,
a = F/m = 10/6 = 1.67 m/s²
From the equations of motion, let us calculate velocity.
v = u + a t
v = 0 + 1.67 × 8 = 13.36 m/s
Δp = m(v - u) = 6 × ( 13.36 - 0) = 80.16 kg m/s
Thus, the change of momentum is 80.16 kg m/s.
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A man lifts a bucket of water from a well that is 7 meters deep. The bucket and water together weigh 50 Newtons. He turns the crank handle with a force of 5 Newtons. The effort force is blank. (Fill in the blank)
A) 70 meters
B) 5 N
C) 50 N
D) 25 N
Answer:
Work = Work out
Work in = 5 N * d where d is the distance the handle travels
Work out = 50 N * 7 m = 350 Joules
d = 50 N * 7m / 5 N = 70 m
This is the distance traveled by the force of 5 N
A man lifts a bucket of water from a well that is 7 meters deep. The bucket and water together weigh 50 Newtons. He turns the crank handle with a force of 5 Newtons. The effort force is 70 Newtons.
What is Effort force?If a force is applied for a machine to move or change the position of the object is known as Effort force.
The effort force formula can be described as,
Fe = Fl. dl / de
Fe is effort force (N, lb)
Fl is load force (N, lb) (note that weight is a force)
dl is distance from load force to fulcrum (m, ft)
de is distance from effort force to fulcrum (m, ft)
Here, the given data to find the effort force is,
Fl =50 Newtons
dl = 7 meters
de = 5 Newtons.
Substituting all the values, we get,
Fe = 350/5
Fe = 70 Newtons.
Thus, the effort force is 70 Newtons.
Hence, Option A is the correct answer.
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For the charge distribution provided, indicate the region (a to e) along the horizontal axis where a point exists at which the net electric field is zero. (figure 1) if no such region exists on the horizontal axis choose the last option (nowhere). View available hint(s)
The region (A to E) along the horizontal axis where a point exists at which the net electric field is zero is point C.
An electric field refers to the physical field surrounding electrically charged particles which exerts force on all other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of charged particles. It is defined as the electric force per unit charge. The field direction is taken as the direction of the force it would exert on a positive test charge. The direction of the electric field is always away from the positive charge and towards the negative charge. As seen in the diagram, both positive charges are equidistant from region C, and the strength of charges of the particle is the same in magnitude but opposite in direction, so the net electric field of both charges will be zero in region C.
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The motion of a particle is described by x= 10 sin2t + 8cos2t. Determine the period, amplitude and phase angle
If the motion of a particle is described by x=10 sin2t+8cos2t then the period , amplitude and phase angle will be:-
Period of the function is given by the reciprocal of the frequency, which is 1/2. Thus, the period is T = 2/1 = 2.
The amplitude of the function is given by the maximum value of the function minus the minimum value of the function. The maximum value of the function is 10 + 8 = 18 and the minimum value of the function is -10 + 8 = -2. Thus, the amplitude is A = 18 - (-2) = 20.
The phase angle is given by the angle between the x-axis and the line representing the function. The function is a combination of sine and cosine functions, so the phase angle is given by the angle between the x-axis and the line y = 10x + 8. The slope of this line is 10, so the phase angle is tan^-1(10) = 84.3 degrees.
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A car traveling at a constant speed covers a distance of 750 m in 25 s.What is the cars speed
Answer:
30 m/s
Explanation:
Answer:
The speed is equal to Distance divided by Time.
The SI Unit of Speed is m/s or meters per second.
V = S/T
= 750/25
= 30 m/s
The power required to exert 1 N force, over a distance of 1 m in 1 second is. A) 1 W. B) 2 W. C) 1/3 W. D) 3 W. E) none of these.
Answer:
A) E = 1 N * d = 1 Newton-Meter = 1 Joule
P(ower) = E / t = 1 N-m / t = 1 Joule / sec = 1 W
A 1. 5-mole sample of an ideal gas is gently cooled at constant temperature 320 K. It contracts
from initial volume 19 L to final volume V2. A total of 1. 2 kJ of heat is removed from the gas during the contraction process. What is V2? Let the ideal-gas constant R = 8. 314 J/(mol. K).
A mole sample of an ideal gas is gently cooled at constant temperature 320 K.
What happens when gas is cooled at constant temperature?Since the internal energy of an ideal gas is proportional to temperature, it does not change when the temperature is held constant. The first law, which governs changes in internal energy, changes to 0 = Q - W, resulting in Q = W. Both the temperature and the volume of the gas decrease as it cools at a constant pressure. The fundamental behaviour of fluids with respect to volume, pressure, and temperature is described by Boyle's, Charles', and Gay Lussac's Laws. When heat is applied at constant pressure, some of it is utilised to cause gas to expand while the remainder is used to raise the gas' temperature, which increases the gas' internal energy.To learn more about constant temperature refer to:
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an object of mass m experiences a gravitational acceleration from a planet of mass M. If the objects mass is doiubled
The force of gravity between two objects is equal to their respective masses multiplied by two. If one of the items triples in mass, the gravitational pull between them will also triple.
The force of gravity between two objects is multiplied by two when their masses are each doubled, and so on. Since an object's kinetic energy is exactly proportional to its mass, it will double along with the object's mass. The force of gravity between two objects is equal to their respective masses multiplied by two. If one of the items triples in mass, the gravitational pull between them will also triple.
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After the switch is closed, which plate of the capacitor eventually becomes positively charged?
O the top plate O the bottom plate O both plates O nelther plate because electrons are negatively charged
The correct option is A, After the switch is closed, the top plate of the capacitor eventually becomes positively charged.
A capacitor is a passive device that stores electrical energy in an electric field. It consists of two conducting plates separated by an insulating material such as air, paper, mica, ceramic, or plastic. When a voltage is applied across the two plates, the electric field created between them stores the energy in the form of an electrostatic potential.
When the voltage is removed, the charge stored in the capacitor is slowly discharged, releasing the energy. Capacitors are used in a wide range of applications, from power supplies and signal processing to motor control, filtering, and energy storage. They are also used to smooth out short-term fluctuations in voltage or current and are key components in many types of electronic circuits.
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What is the work applied to a 1000kg car when it is pushed 1000m up along a 10- degree incline at a constant velocity. Assume the coefficient of friction between the car and the ramp is 0.30.
The required work applied to a 1000 kg car when it is pushed 1000 m up along a 10- degree incline at a constant velocity is calculated to be 4.6 × 10⁶ J.
Given that,
Mass m = 1000 kg
Displacement d = Δx = 1000 m
Angle of inclination θ = 10°
Coefficient of friction μ = 0.3
The equation for work done is known to be,
W = F × d
We must divide the force of gravity into its component parts and examine the side acting in the x-direction in order to calculate the force of gravity in that direction.
F gx direction = F g sinθ = mg sinθ
The force of friction is directly related to μ times the normal force. The normal force in this situation is equivalent to the y component of the force of gravity.
F gy direction = F g cosθ = mg cosθ
We know force of friction, Ff = μ FN
FN = F gy direction
Ff = μ mg cosθ
We know that our force applied must balance both of these forces,
F applied = mg sinθ + μ mg cosθ
As, W = F × d = (mg sinθ + μ mg cosθ) d = ( 1000× 9.8 sin10° + 0.3 × 1000× 9.8 cos10°) 1000 = (9800 sin10° + 2940 cos10°) 1000 = (0.17 × 9800 + 0.985 × 2940) 1000 = (1666 + 2895.9) 1000 = 4561.9 × 10³ J = 4.6 × 10⁶ J
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What happens to matter when thermal energy is added to a substance at its melting and boiling point?
Endothermic processes occur when heat is applied to a substance, as in melting, evaporation, and sublimation. Heat increases the speed of the molecules in this case, forcing them to travel quicker.
Thermal energy is the energy contained inside a system that controls its temperature. The passage of thermal energy is defined as heat. Thermodynamics is a discipline of physics that deals with how heat is transmitted between various systems and how work is done in the process (see the first law of thermodynamics).
Thermal energy transmission is classified into three types: conduction, radiation, and convection. Convection is a cyclical process that happens exclusively in liquids.
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A delivery company charges 10¢ per cubic inch to deliver a package. If a box is 9 inches long, 7 inches wide, and 4 inches deep, what will it cost to be delivered?
Answer: [tex]2520[/tex]¢
Explanation:
Given
Company charges [tex]10[/tex]¢ per cubic inch
The dimension of the box is [tex]9\ in.\times 7\ in.\times 4\ in.[/tex]
The volume of the box is
[tex]V=9\times 7\times 4\\V=252\ in.^3[/tex]
Therefore cost associated with it is
[tex]\Rightarrow C=10\times 252\\\Rightarrow C=2520[/tex]
Thus, the cost is [tex]2520[/tex]¢.
Answer:
25.20
Explanation:
In Newton's second law, F = ma, the mass m is a gravitational mass.
(a) True
(b) False.
True: In newton's second law, F = ma, the mass m is a gravitational mass.
What is Newton's second law?
Newton's second law of motion states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass. In equation form this can be written as F = ma, where F is the net force applied,
m is the mass of the object, and a is the acceleration of the object. This law explains that the larger the force applied, the greater the acceleration of the object.
Also, the larger the mass of the object, the lower the acceleration when the same force is applied to the object.
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This problem contains several examples of this.Consider an object sliding on a frictionless ramp as depicted here. (Figure 1) The object is already moving along the ramp toward position 2 when it is at position 1. The following questions concern the direction of the object's acceleration vector a_vec. In this problem, you should find the direction of the acceleration vector by drawing the velocity vector at two points near to the position you are asked about. Note that since the object moves along the track, its velocity vector at a point will be tangent to the track at that point. The acceleration vector will point in the same direction as the vector difference of the two velocities.
Which direction best approximates the direction of a_vec when the object is at position 2?
a. straight up b. upward to the right c. straight down d. downward to the right
This problem contains several examples of this.Consider an object sliding on a ramp as depicted here.Downward to the right.
What is the sliding ?
Sliding is a type of motion that involves the movement of an object relative to a surface while keeping contact with it. This type of motion is often used in everyday activities such as walking, running, and skiing. Sliding can also refer to the movement of two or more objects in contact with each other, such as a car door sliding open or a sheet of paper sliding across a table. In physics, sliding is considered to be a type of frictional motion, in which the frictional force between the object and the surface it is sliding on causes the object to move.
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Why does torque increase with distance?
Torque increases with distance because torque is defined as the force acting on an object multiplied by the distance from the axis of rotation. The farther the force is applied from the axis of rotation, the greater the torque will be.
To understand this, imagine a lever with a weight on the end of it. If the weight is placed closer to the pivot point of the lever, it will take less force to lift the weight than if the weight is placed farther away from the pivot point. This is because the farther the weight is from the pivot point, the greater the torque will be. The same is true for any object that is being rotated around an axis - the farther the force is applied from the axis of rotation, the greater the torque will be.
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A 17-N falling object encounters 9 N of air resistance. The magnitude of the net force on the object is
The magnitude of the net force on the object is 8 N. This is because the force of gravity, which is 17 N, is being opposed by the force of air resistance, which is 9 N. Therefore, the net force is 17 N - 9 N = 8 N.
Force is a push or pull on an object that is caused by an interaction between two objects. It has both magnitude, which is the strength of the interaction, and direction, which is the direction in which the force is being applied.
Net force is the sum of all the forces acting on an object. It is calculated by adding up all the forces that are acting on the object, taking into account their directions. This can be used to calculate the acceleration of an object, as the greater the net force, the greater the acceleration.
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What potential difference, acting over a distance of 2.5 cm, would be needed to balance the downward force of gravity so that an electron would remain stationary
The potential difference, acting over a distance of 2.5 cm is 1.4*10^-12V.
What are the effects of distance on potential difference?The potential actually grows as you get farther away from the charge, becoming less negative as you get closer to it and eventually reaching zero. The potential for both positive and negative charges is zero at infinite distances from the charge.
Exactly what is potential energy?The energy that a body has because of its location or deformation is known as potential energy. Both the body's bulk and the height to which it is lifted play a role.
Given:
Distance (d) = 2.5cm = 0.025 m
For an electron,
[tex]m= 9.109*10^-31kg[/tex]
[tex]q=1.602*10^-19C[/tex]
We isolate the electric field:
[tex]E=\frac{mg}{q}[/tex]
[tex]g=9.8 m/s^2[/tex]
[tex]E=\frac{(9.109*10^-31kg)(9.8m/s^2)}{1.602*`10^-19C}[/tex]
[tex]E=5.5723*10^-11V/m[/tex]
Electric potential,
[tex]E=\frac{V}{d}[/tex]
[tex]V=Ed[/tex]
[tex]V= (5.5723*10^-11V/m)(0.025m)[/tex]
[tex]V=1.4*10^-12V[/tex]
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The net electric force acting on each of the three objects below is sketched as a green arrow. For example, if the green arrow points to the left the object feels a net electric force pushing it to the left. If there is no green arrow, the object feels no net electric force. Use this information to assign an electric charge to each object. That is, decide whether each object has a positive electric charge, a negative electric charge, or is neutral.
Electric force is the attraction or repelling force that exists between any two charged objects. Newton's laws of motion, which apply to all forces, describe how a force acts and what it does to the target body.
Electric force is produced by what?Mutual interactions between two charges produce electrical forces. When there are three or more charges present, the cumulative effects of each charge's interactions with the other charges produce the electric force acting on a single charge.
Electric force: how powerful is it?2.40 x 1043 times more powerful than the gravitational force is the electric force between these electrons. Or, to put it another way, gravity is only about a trillion trillion trillion trillion times as strong as electricity.
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explain why many houses in hot areas like Mombasa should be painted white while those in colder places like timboroa should be painted with dark colours
Answer:
In places of hot climate, it is advised that the outer walls of house be painted white because white color does not absorb any heat radiation from the sun which keep inside cool even if there is hot climate outside the house.
You need to move a 117-kg sofa to a different location in the room. It takes a force of 109 N to start it moving. What is the coefficient of static friction between the sofa and the carpet
According to the question, the sofa and carpet have a static friction coefficient of 10.519.
Static Friction: What Is It?Static friction is defined as a force that maintains an object at rest. when someone tries to move a stationary thing across a platform without actually moving their body or the platform they were moving the object across, they face resistance.
Given:
Wight of sofa = 117 kg
Force= 109N
weight = mass × acceleration due to gravity 117 × 9.8 = 1146.6
the mass is given in kilograms, but work in newtons, thus we multiplied the mass by 9.8
acceleration = Zero
force = resistance
substitute force with 109N and resistance with 1146.6× μ
109 = 1146.6 × μ
μ = 1146.6/109
μ = 10.519
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P(A/B) - P(ANB)
P(B)
P(Girl|Sophomore)
Answer:
9/10
Explanation:
The mass of a body is 12 kg. What is the resulting acceleration if a forced 6 N is applied on it in the direction of motion ?
Answer:
0.5 m/s²Explanation:
The acceleration of an object given it's mass and the force acting on it can be found by using the formula
[tex]a = \frac{f}{m} \\ [/tex]
f is the force
m is the mass
We have
[tex]a = \frac{6}{12} = \frac{1}{2} = 0.5 \\ [/tex]
We have the final answer as
0.5 m/s²Hope this helps you
which of the following is not a petroleum product
a. rayon clothing
b. a candle
c. petrochemicals
d. wool
Answer:
wool
Explanation:
Wool comes from sheep. Rayon, candles (the paraffin type) and petrochemicals all come from petroleum.
Which graph shows the change in velocity of an object in free fall?
Answer: B
Explanation:
Free fall -> constant acceleration of g = 9.81ms-1
Constant acceleration -> velocity increases at a constant rate (increases proportionally with time)
Math behind it:
* Velocity is the integration of acceleration, likewise acceleration is the differentiation of velocity. Integrating a constant value gives linearly increasing function in terms of x. (integrating with respect to x)
Hence, graph B shows the trend that velocity increases at a constant rate.
Graph A - Velocity decreases linearly
Graph C - Also decreases nonlinearly
Graph D - Not possible scenario. Velocity approaches infinity.
Which of the following is true?
O Two objects with the same speed always have the same velocity.
O The velocity of an object can change even if the speed of the object remains constant.
O Velocity describes how fast an object is changing speed.
O Velocity is independent of direction.
The velocity of an object can change even if the speed of the object remains constant.
How are starting and final velocities calculated?Initial velocity (u) squared plus two times the acceleration (a) times the displacement equals final velocity (v) squared (s). Final velocity (v) is equal to the square root of initial velocity (u) squared plus two times the acceleration (a) times displacement when v is the variable being solved for (s).
What distinguishes initial from final?In physics, an object's initial position is its starting point for motion, and its final position is where it comes to rest.
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Based on the Previous two questions: According to Newton's Second Law, how much force does Marisa need to apply in order to stop the sled?
a
0.048 kg m/s
b
-0.075 N
c
2.50 N
d
-0.048 N
Answer:
See explanation
Explanation:
The question is incomplete, as the required parameters are missing. The general solution to this is as follows;
First, get the mass (m) and the acceleration (a) of the sled
So, the force (f) to stop the sled is:
[tex]f = ma[/tex] ---- Newton 2nd law
However, the force to stop the sled will be in the opposite direction of the sled.
So:
[tex]f =-ma[/tex]
Assume that:
[tex]m \to 5kg[/tex]
[tex]a \to 6m/s^2[/tex]
The required force is:
[tex]f =-ma[/tex]
[tex]f =-5kg * 6m/s^2[/tex]
[tex]f = -30N[/tex]
is/are defined in the NEC as the conductors and equipment for delivering electric energy from the serving utility to the wiring system of the premises served
The cables and machinery used to transport electric energy from the supplying utility to the wiring system of the premises served are referred to as "service" in the NEC. The Service Point is the location where the customer's premises wiring starts and the utility supply terminates.
is the distance between the utility's serving point and the service point specified as the overhead conductors?Drop in service. between the service point and the utility's electrical supply infrastructure, the overhead conductors.
The conductors from the service point to the service disconnecting means are what are referred to as by the NEC.Service conductors are the wires that run from the service point to the method of terminating the service (service equipment, not meter). For both above (service drop) and subterranean, service conductors would include service-entrance conductors (service lateral).
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Question in picture CIRCUITS
Answer:
B. Current increases because it is directly proportional to voltage
Explanation:
Ohms law is used to show the relationship between the current, voltage and resistance of a substance. The Ohms law equation is as follows:
V = IR
Where;
V = voltage (volts)
I = current (amperes)
R = resistance (ohms)
Based on these equation, it is evident that the current (I) is directly proportional to the voltage (V), hence, as the voltage increases, the current also increases. According to this question, when the voltage is tripled (increased), the current also increases because it is directly proportional to voltage.