6. A block of mass m is just on the point of sliding down a rough incline as show in
figure.
a) Name the force marked as F1 and F2
b) Write an expression for these forces.
c) Find the relation between coefficient of friction (u) and ø.
ing
Answers
Answer:
Explanation:
6 answer Here, initial velocity , u=0
From the figure, net acceleration will be when it is sliding down,
frictional force=μmgcosθ
a=gsinθ−ugcosθ........................(1)
We know, Power = work done /time= rate of work done..................(2)
Also, Power =force *velocity.............(3)
Now, from equation of motion,
v=u+at
v=0+(gsinθ−ugcosθ)t (from eqn. (1)).....................(4)
From eqn. (2), (3) and (4),
work done /time= force *velocity,
=μmgcosθ.(gsinθ−ugcosθ)t
=μmg
2
tcosθ(sinθ−μcosθ)
A answer Resultant Force Formula
The resultant force is described as the total amount of force acting on the object or body along with the direction of the body. The resultant force is zero when the object is at rest or it is traveling with the same velocity as the object. The resultant force should be equal for all the force since all the force is acting in the same direction.
Formula of Resultant Force
If one force is acting perpendicular to another, the resultant force is determined by using the Pythagorean theorem. The Resultant force formula is given by,
FR = F1 + F2 + F3
Where
F1, F2, F3 are the three forces acting in the same direction on an object.
b answer Force acting on a charge 'q' moving with a velocity
v
in the presence of both electric field
E
and magnetic field
B
.
F=q
E
+q(v×
B
Consider a region in which magnetic field, electric field and the velocity of the charge particle are perpendicular to each others. To move charge particle undeflected, the net force on the charge particle must be zero.
q
E
=qv
B
v=
B
E
The direction of the magnetic and electric field are equal and opposite direction. So the magnitude are in such a way they cancel out each other to give a net force of zero. So that the charge particle does not deflect.
c answer The coefficient of friction between any two surfaces in contact is defined as the ratio of the force of limiting friction and normal reaction between them.
u= F / R
Angle with the resultant of force of limiting friction F and normal reaction R makes with the direction of normal reaction R is angle of reaction.
Answer:
f1= N(mgcosQ)
f2=friction(mgsinQ)
relation= tanQ= miu, s
