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For A Levels Stats Or Mechanics Or Both

Mechanics for A-level?

If we look at the two weights, the system will move to the right if it moves. Thus friction will be in a direction that opposes the movement.
The forces on the 4kg block are:
Gravity (size 4g and directed to the center of the earth.
The normal force N1 (a force normal to the surface that the block stands on - it measures how hard the surface pushes on the block - which is the same size as the force that the block exerts on the surface).
The friction force that opposes movement and has the size µ.N1.
The tension T in the rope (same direction as the rope - up the slope).
If we write the components of the forces on this block in the direction normal and tangential to the slope we get
N1=4g cos(40) and T= 4g sin(40)+µ.N1 which gives T=4g(sin(40)+µ.cos(40)).

Similarly for the 10kg block
N2=10Cos(40) and T+µ.N2=10g sin(40) which gives T+µ.10g cos(40)=10g sin(40).
Equate the two expressions for T:
4g Sin(40)+4g µ.cos(40)+10g µ.cos(40)=10g sin(40).
Divide by g and separate terms with µ from terms without µ.
µ.(4cos(40)+10cos(40))=10sin(40)-4 sin(40). Solve for µ.
µ=(3/7) tan(40).

Mechanics for A-level?

A block of mass m rests on a rough plane inclined at an angle α to the horizontal. A force P1 acting up the plane causes the block to be on the point of moving in that direction. A force P2 acting down the plane causes the block to be on the point of moving in that direction. Show the P1 - P2 is independent of the coefficient of friction between the block and the plane.

Mechanics for A-level?

fs=Nu
in equilibrium :
mgsin20=fs
mgcos20=N >> tan20 = u (1)

force applied :
Fcos20= Nu + mgsin20 (2)
Fsin20 + mgcos20 = N (3)
put (3) instead of N and (1) instead of u in (2) :
Fcos20=(fsin20+mgcos20) tan20 + mgsin20= 50.29

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Let'squestion is right! i just put g=10 m/s^2 while he/she put 9.81

Mechanics for A-level?

An object of mass 50kg rests on a rough plane inclined at an angle z to the horizontal. It is supported in this position by a light string parallel to the plane which is attached to the object and fixed to a point at the top of the plane. The string has a breaking strain of 200N and the co-efficient of friction between the object and the plane is 0.2, Find the largest value of angle z which would allow the string to remain intact

Mechanics A-level question?

Answer (a):
Given
u=20m/s
s=78m
a=4m/s^2

Now
v^2=u^2+2as
=20^2+2*4*78
v=32 m/s (Ans)
Again
s=ut+1/2at^2
=> t=3 sec

Answer(b):

u=v=30m/s
t=3 sec
Now,

v=s/t
=> s=90 m (Ans)
Answer(c):

Distance between B and A is (90-78=12m)
s=12 m.
For that case, initial velocity of B is the final velocity of B at first case.
u=32 m/s

Now
s=ut+1/2at^2
=> t= 0.72 sec (Ans)
So after (3+0.72)=3.72 sec B will overtake car A.

A level statistics.........?

For married couples the probability that the husband has passed his driving test is 7/10 and the probability that the wife has passed her driving test is a 1/2. The probability that the husband has passed given that the wife has passed is 14/15. Find the probability that for a randomly chosen married couple the driving test will have been passed by:
1) both of them
2) only one of them
3) neither of them

Please show all workings as not sure how to get 2 and 3.

Thanks

What is better in the A level: maths, mechanics, or statistics for an engineering student?

MechanicsWhy?Because when learning more about mechanics, simply all your effort will go to waste if you will be unable to solve the equations mathematically. After that, because many topics require kinematics and dynamics and those two you cannot learn if you haven’t statistics. Even if you choose something else and later choose to be a mechanical engineer, well, unfortunately, you will have to learn the three of them in one or two semesters. So see your subject as an equation in which you cannot get constant without solving each one of them separately.

What to choose in Maths, Statistics or Mechanics?

i'am will have to choose between Statistics n mechanics next year for Maths

i'am doing my A-level, Physics Biology n Maths as main subjects

i want to do criminology studies later.

Which choice would be more appropriate for me?

Stat or Mechanics???

Thanks

What are the overall benefits and disadvantages of studying Further Mathematics (Pure Math, Statistics and Mechanics) in Cambridge A Levels?

You can apply the academic career and professional career for studies in math. This study applies at a specific university in the world, in England called Cambridge University. The A level signifies a level of proficiency, literacy, and achievement in the math subjects of pure math, statistics, and mechanics. You would acquire a combined discipline at a leading research university in the world. You would also interact with faculty leading in their field, meet similar classmates, and acquire their sense and shared vision for the study of this math. This would train you well during the study, and if you studied right, you would gain preparation to continue your academic and professional career. You would earn a well suited qualification from their university, department, and field study. And you would also get the social class, discussion of the field, and trust from the diploma.The downside to studies in math with pure math, statistics, and mechanics would view the same credentials, but focus upon its location, people, and language. If you apply for a program of study at Cambridge University, you need to move to England and live in a city. You also need to figure your finances, how to fund your life and studies, and prepare for citizenship or foreign work study agreements. The most conceptually satisfying evaluation of the downside to studying at Cambridge University in the math subject, requires that you consent to study with their faculty, people, and within their language. This means that your study shall depend mostly on english, and their word, grammar, and subject sense in math.If you take a worldwide perspective, and also agree to a context of millennia among different countries, regions, languages, people, and culture, you can clearly study at any university in the world. You need the best preparation, education, and work and research experience to qualify for most universities in the world. But with such credentials, you can seek education within the curriculum, faculty social positions, university reputation on world wide higher education, and consider the value of studying at specific cities, countries, or regions. The most important consideration in a conceptually satisfying way, takes the language as broadly covering all such considerations. You apply for education and implicitly acquire and practice the language that your people agree upon, share, use, and develop.

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