A bullet of mass 32g is fired from a gun. The graph above shows the variation of the force F on the bullet with time T as it travels along the barrel of the gun.

The bullet is fired at time T=0 and the length of the barrel is 0.70m.

(a) State and explain why it is inappropriate to use the equation S = ut + 1/2 a(t^2) to calculate the acceleration of the bullet.

(b) Use the graph to:

(i) Determine the average acceleration of the bullet during the final 2.0ms of the graph

(ii) show that the change in momentum of the bullet, as the bullet travels along the length of the barrel, is approximately 9Ns.

(c) Use the answer in (b)(ii) to calculate the

(i) speed of the bullet as it leaves the barrel

(ii) average power delivered to the bullet

(d) Use Newton’s third law to explain why a gun will recoil when a bullet is fired

When basketball is inflated than there is more air resistance so weight that is force due to gravity is more.

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Deflated and inflated ball are with air and without air so mass varies hence we say it is matter as it occupies space inside the ball.

When basketball is inflated than there is more air resistance so weight that is force due to gravity is more.

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The density of 1 mole of oxygen at a pressure of 4×10⁻⁴ Nm⁻² and a temprature of 273.2 K is 2.82×10⁻⁶ g/m³

We'll begin by obtaining the volume of the oxygen. This can be obtained as follow:

PV = nRT

Divide both sides by P

V = nRT / P

V = (1 × 8.314 × 273.2) / 4×10⁻⁴

V = 5678462 m³

Finally, we shall determine the density of the oxygen. This can be obtained as follow:

Density = mass / volume

Density of oxygen = 16 / 5678462

Density of oxygen = 2.82×10⁻⁶ g/m³

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Answer:

Explanation:

The rms speed:

Vrms = (500 + 600 + 700 + 800 + 900) / 5 = 700 m/s

Examples of following forces mentioned -

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The color of the wire is a factor that will not affect the magnetic strength of a solenoid.

A solenoid is a device that consists of a coil made of wire, a housing and a moveable armature. When an electrical current is flowing in the solenoid, a magnetic field forms around the coil which draws the plunger inside. A solenoid has the ability to convert electrical energy in the form of mechanical work.

The magnetic field created by a solenoid depends on the current and density of rounds. The energy density of the magnetic field depends on the strength of the magnetic field and also depends upon the magnetic permeability of the material present in it. Iron has a larger permeability as compared to a vacuum.

So we can conclude that option C is the correct answer.

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The time taken for the bowling ball to stop, given that a force of 38 N was applied is 0.55 s

We'll begin by obtaining the deceleration of the ball. This can be obtained as follow:

Force (F) = mass (m) × deceleration (a)

F = ma

Divide both sides by m

a = F /m

a = 38 / 6.9

a = -5.5 m/s²

Finally, we shall determine the time. This is shown below:

a = (v – u) / t

-5.5 = (0 – 3) / t

-5.5 = -3 / t

Cross multiply

-5.5 × t = -3

Divide both sides by -5.5

t = -3 / -5.5

t = 0.55 s

Thus, we can say that the time required is 0.55 s

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The combination of a force's constituent acting inside the displacement's direction as well as its magnitude would be known as the work done mostly via force.

1) Work is done when an applied force produces mobility in a body.

Mathematically , Work = Force x displacement

2) Unit for energy is Joule.

3) Energy can be calculated by such as:

Work = F s

750 x 100 = 75000J would be transferred by engine if car moved a distance of 100m.

4)For the case of Rehana : 200 cm converted to 2m .

again using same concept , W=FS

50 x 2=100J of work done in raising the object.

Energy consumed = 700 J

Distance (Displacement) = 10 m

7) We know work done is also a type of energy which tells the energy consumed by anything in order to move a distance, We know

⇒ Work done = Force × Displacement

⇒ 700 = F × 10

⇒ F = 70 newton

Hence, The force exerted by the person as walked the distance is 70 newton.

6) For the hifza case:- 200N will take more height because it is lighter than 350N so we can do it upward and downward as it is lighter and the energy used is 1000J .

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Nitrogen-14 is created through the beta decay of carbon-14. Beta particle emission occurs along with this kind of disintegration.

The unstable nucleus emits alpha particles during this disintegration. A helium nucleus with two protons and two neutrons makes up an alpha particle. Additionally, it bears a +2 charge.

This kind of radioactive decay results in the emission of gamma rays. The process produces a lot of energy, yet the number of protons doesn't change.

Carbon has an atomic number of 6, while nitrogen has a number of 7. Since the only way that carbon-14 and nitrogen-14 differ from one another is in their atomic number. Nitrogen-14 is created through the beta decay of carbon-14. Only beta decay allows for the conversion of carbon-14 into nitrogen-14, and the number of protons remains constant.

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Answer:

Explanation:

velocity describes the directional speed of an object in motion as an indication of its rate of change in position (includes magnitude but not the direction) while acceleration is the change in velocity (inculdes direction and magintude)

Kinetic energy will be 600J. According to law of conservation energy: All the energy in a system will simply change the state, and no more nor less energy will be created or lost during the operation of the system. In this case, then all 600J of energy will be transformed during the operation of car.

kinetic energy, Chemical compounds' bonds contain energy. Chemical reactions have the potential to release chemical energy, frequently in the form of heat; these kinds of reactions are referred to as exothermic. Some of the energy from reactions that need heat input to continue may be stored as chemical energy in newly formed bonds.

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The force that is applied 100 N.

We know that a lever is one of the kinds of simple machine that we have. The lever works by the fact that there is a load and an effort arm. We have been told that a  lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters.

We can get the force that must be applied from the fact that;

Work = Force * distance

Force = Work/Distance

Force = 400/4

Force = 100 N

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It is evident from Isaac Newton's equation for universal gravitation that ANY TWO masses will act as an easily calculable attractive force on one another. Cavendish proved that this was accurate (for masses that he gathered in his shed).

The Cavendish experiment was the first to accurately determine the gravitational constant and the force of gravity between masses in a laboratory setting. Cavendish's work does not directly mention the gravitational constant due to the unit norms in use at the time. Instead, the outcome was initially stated as Earth's specific gravity, or alternatively, as Earth's mass. The first precise values for these geophysical constants came from his experiment.

Thus, by measuring the universal  gravitational constant though experiment,  Cavendish's experiment makes easy to calculate gravitational attraction force for minute objects also.

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The magnitude of the force is 12.73N.

What is force?

this can be defined as a push or pull in a particular direction. It is calculated using the formula:

F=m*a

Where,

m=mass of the object

a=acceleration

What is magnitude of force?

This is the quantity or strength of the force. It is calculated using the formular:

Normal Force, N=m*g*Cos θ

From the question given:

     m   =5.00kg

Cos θ= 30°

        g=9.8m/s²

Coefficient of Friction, μ=Frictional force/Normal force

                                        =F/N

coefficient kinetic friction, μ=0.300

Magnitude of Force F= Coefficient of Friction*Normal Force

                                   =μN

                                   =μmg Cos θ

                                 F= 0.300*5.00*9.8*Cos30°

                                 F=0.300*5.00*9.8*0.8660

The magnitude of Force,F=12.73N

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The apple moves a height of  h = [tex]\frac{v^{2} }{50 g}[/tex] because of its collision with the dart.

we can calculate the height of an object using the distance and angle.

In order to calculate the height of an apple with mass M is hanging at rest from the lower end of a light vertical rope. A dart of mass M/4 is shot vertically upward, strikes the bottom of the apple, and remains embedded in it.

We first calculate the velocity that the final mass gets once the collision takes place, in order to do this, we use momentum conservation.

pi = Pf = (5/4)Mv

We get the value for the velocity of the final mass, v , once the collision has been produced.

Once we have pi, with this final velocity, we can calculate the final height that the mass will get, to do this we use energy conservation.

An instant after the collision, the mass has kinetic energy, and we say that that is our altitude zero, but when the mass gets to its higher altitude, the kinetic energy is zero and the potential energy is different than zero, and we will write as follows:

Ei = Ef =  (1/2) (5/4 M (V/5)²  =(5/4 M)g*h

Equating and solving for height, we will get as the apple moves a height of  h = [tex]\frac{v^{2} }{50 g}[/tex] because of its collision with the dart.

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The correct answer is momentum of boy = 225 Kg. m /s

What is momentum?

Momentum is the product of the units of mass and velocity is the unit of Momentum.

To get the value the momentum,  formula: P=mv, where P is the momentum.

Given, total mass and boy = 45 Kg., Velocity = -5 m/s

Momentum = Mass x Velocity = 45 Kg.  x 5 m/s = 225 Kg. m / s

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Velocity of the object parameters would affect the fall if air drag is also considered.

Velocity can be defined as the rate at which that moves in a specific direction. as the velocity of a car driving north on a road or the pace at which a rocket takes off. Because the velocity vector is scalar, its integrand magnitude will always equal the motion's speed.

A moving object has a negative velocity when it is moving in the wrong direction. If an object is slowing down, its generate and evaluate is pointing away from the direction in which it is moving (in this case, a positive acceleration).

An object must move at a constant speed and direction in order to have a constant velocity. The object can only travel in a straight line if the direction is constant. So, motion in a single direction at a constant speed is defined as having a constant velocity.

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An old sandwich rotting in a trashcan and building a tower out of magnetic blocks both are undergoing chemical changes.

Chemical changes are said to occur when a substance combines with another to form a new substance, called chemical synthesis or, alternatively, chemical decomposition into two or more different substances.

Examples of chemical changes include burning of wood, cooking of pasta, rusting of metal , and rotting of sandwiches.

In conclusion, chemical changes involve the formation of new substances while Physical change is a temporary change.

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When mass of Mars and Phobos are given then we can calculate that Mars and Phobos are 9.098x 10⁶ meters apart.

The gravitational force is that force that pulls objects with mass towards each other.

The formula for the gravitational force between two objects is given as:

Force = G  (M1) (M2) / (distance²)

Given, Force  =  4.98 x 10¹⁵N

G  =  6.673 x 10⁻¹¹  N·m²/kg²

Given One mass =   6.79 x 10²³ kg

and Other mass = 9.1 x 10¹⁵ kg  

Force = (G) · (M1) · (M2) / (distance²)

4.98x10¹⁵N = (6.673x10⁻¹¹N-m²/kg²)·(6.79x10²³kg)·(9.1x10¹⁵kg) / (distance²)

(distance²)·(4.98x10¹⁵N) = (6.673x10⁻¹¹N-m²/kg²)·(6.79x10²³kg)·(9.1x10¹⁵kg)

(distance²)=(6.673x10⁻¹¹N-m²/kg²)·(6.79x10²³kg)·(9.1x10¹⁵kg) / (4.98x10¹⁵N)

 (distance²)  =  8.279 x 10¹³  m²

distance  =  9.098x 10⁶ meters .  

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The person who threw the punch remains stationary, and their hand undamaged because the impulse received by the opponent is greater than the reaction force experienced by the person who threw the punch.

Newton's third law of motion states that for every action, there is an equal and opposite reaction. That is, action force and reaction force are equal and opposite.

Mathematically, the Newton's third law of motion can be stated as follows;

Fa = Fb

where;

In a barfight, when one person swings a punch with their bare hand and knocks another person over a table in spectacular fashion. The person who threw the punch remains stationary, their hand undamaged because the impulse received by the opponent is greater than the reaction force experienced by the person who threw the punch.

The force applied by the person who threw the punch maybe equal and opposite to reaction he received but the impulse experienced by the opponent is greater.

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To achieve an increase in the current delivered in the USB 3.1 port, at a constant voltage, the several USB ports must be connect in parallel to each other. This will ensure an increase in current and constant voltage.

According to ohms Law the current flowing through an ohmic conductor is directly proportional to the voltage across the conductor.

V = IR

where;

I = V/R

To increase the current at a constant voltage, the resistance must decrease.

In a parallel circuit, the current flowing in each circuit component is different while the voltage drop in each circuit component is the same.

Thus, to increase the current delivered in the USB port, and maintain the initial voltage, the several USB ports must be connect in parallel to each other.

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The inner walls of veins and arteries can be affected by coronavirus infection, which can result in blood vessel inflammation, harm to extremely small vessels, and blood clots leading to the risks of cardiovascular diseases.

The mechanisms by which the COVID-19 pandemic might change trends in cardiovascular health have been the subject of numerous ideas. People with COVID-19 have a worse prognosis when they have established CVD and atherosclerosis cardiovascular disease risk factors.

Therefore, covid had a great impact on cardiovascular diseases and increased the overall disease rate.

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The magnitude of the work done on the particle by the applied force is 19.72 J.

The work done in moving a charged particle is determined from the product of force and displacement of the object.

W = Fd

where;

The magnitude of the particle's displacement is calculated as follows;

|d| = √[(x₂ - x₁)² + (y₂ - y₁)²]

where;

|d| = √[(-3.1 - 0.92)² + (5 - 2.5)²]

|d| = 4.73 m

The magnitude of the force is calculated as follows;

F = √(-3.6² + 2.1²)

F = 4.17 N

The work done = 4.17 N x 4.73 m = 19.72 J

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The mechanical advantage of the crow bar is 3 while the velocity ratio is 4. The efficiency of the machine is 75%.

We know that a machine is any device that can be used to make work a lot much easier. Thus, the machine is the object that could make less effort to be applied in making a greater work to be done as we can see in this case we have here.

From the question, the pieces of information that we can get are;

Distance moved by Effort = 200 cm

Distance moved by load = 0.5 m or 50 cm

Velocity ratio = Distance moved by Effort/Distance moved by load

= 200 cm /50 cm

= 4

Mechanical advantage is found to be; Load/Effort

= 600 N/200 N

= 3

Efficiency = Mechanical advantage/ Velocity ratio * 100/1

= 6/4 * 100/1

=3/4 * 100/1

= 75%

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The change in gravitational potential energy stored in 16 Jule.

What is gravitational potential energy?

In classical mechanics, of the  gravtitational potential at in a  location is equal to the work per unit mass that's would be needed to Move an object to that locations from a fixed references  location. It is analogous to the electric potential with the mass playing the role of charge.

Sol-As per the given question ∆PE = mgh

M= skg

g= 4m/s^2

∆h = 2m

∆PE = 2m×4m×2m

= 16 Joules.

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equal to 9380 into 10. To the power three m. T is equal to 2.77 into 10 to the power of four seconds. So the expression for finding the mass of mars as the Squire divided by r cube as equal to four Pi Square divided by G into em. So M will be equal to for by Squire. Our cue divided by G. The Squire. So now we can substitute the values That does four by Squire. indu 9380 into 10. to the power three all cube divided by Value of GS 6.67, 3 into 10 to the Power -11. Indu 2.77 into 10 to the power of four all Squire. By solving this, we will get the mosque as six point 363 into 10. to the power 23 kilogram

Because there is less resistance, it is simpler to maneuver their vehicle and requires less effort.

The definition of force is physics states that when a mass-containing object is pushed or pulled, it alters its velocity. The ability to change a body's resting and moving state is actually possessed by force, an external agent. It moves and has a certain size.

Things move and, more precisely, change their motion as a result of force. The forces of magnetic forces and gravity are two examples of natural forces that humans have encountered. These two forces don't need to be in close proximity to each other to work because they act at a distance.

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Buoyant force from the atmosphere is greater on her car than the balloon is a correct statement  

buoyant force = - rho * g * V

where

rho = fluid density or in our case air density

g = acceleration due to gravity

V = volume of displaced liquid or volume of displaced air

volume of  displaced air is more in the case of car as compared to balloon because car has larger volume then balloon .

and volume displaced is directly proportional to the buoyant force , hence buoyant force from the atmosphere is greater on her car than the balloon is a correct statement .

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The distance that the log has moved till it got to where Ernie reached Burt  would be 0.37m

We have the following details that would be used to get the solution to this problem

length of log = 4. 0 m

The mass of the log is 210 kg

The weight pof Burt = 40 . 5 kg

The weight of ernie would be 25.5 kg

The formula to be used would be in the form of

x(mass of log) + x(mass of Burt) + mass of ernie (x - length of wood)

such that we would have

210x + 40.5x + 25.5(x - 4) = 0

210x + 40.5x + 25.5x - 102 = 0

276x - 102 = 0

cross sign to the other side

276x = 102

To get the distance we would have to divide through by 276 and this value that we would get is going to be the x value

276x / 276 = 102 / 276

x = 0.369

~ 0.37m

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