A19.7 kg block is dragged over a rough, horizontal surface by a constant force of 188 n acting at an angle of 28.6 ◦ above the horizontal. the block is displaced 48.7 m, and the coefficient of kinetic friction is 0.103.find the work done by the 188 n force. the acceleration of gravity is 9.8 m/s 2 . answer in units of j find the magnitude of the work done by the force of friction. answer in units of j. a) what is the change in kinetic energy of the crate? answer in units of j. b) what is the speed of the crate after it is pulled the 9.28 m? answer in units of m/s.

This question involves the concepts of work, the law of conservation of energy, frictional force, normal reaction, and kinetic energy.

a) Work done by the force is "8038.46 J".

b) Work done by the frictional force is "517.96 J".

c) Change in kinetic energy is "7250.5 J"

d) Speed of the crate after covering 9.28 m distance is "27.63 m/s".

a)

The work done by the applied force (188 N) is given as follows:

W = Fd Cosθ

where,

W = Work done = ?

F = Applied force = 188 N

d = distance moved = 48.7 m

θ = Angle between applied force and horizontal surface = 28.6°

Therefore,

W = (188 N)(48.7 m) Cos 28.6°

W = 8038.46 J

b)

Writing equilibrium equation in the vertical direction:

where,

W = weight of the block = mg = (19.7 kg)(9.81 m/s²) = 193.26 N

N = Normal Reaction Force = ?

F = Applied force = 188 N

Therefore,

N = 103.26 Newtons

Now, frictional force can be given as follows:

where,

f = frictional force = ?

μ = coefficient of friction = 0.103

Therefore,

f = 10.64 N

Thus the work done by this frictional force can be calculated as follows:

c)

From the law of conservation of energy:

ΔK.E = 7520.5 J

d)

The final speed of the crate can be given by the following formula:

where,

m = mass = 19.7 kg

vf = final speed = ?

vi = initial speed = 0 m/s

Therefore,

Learn more about the law of conservation of energy here:

link

The attached picture explains the law of conservation of energy.

Part a)

Part b)

Part c)

Part d)

Explanation:

As per force equation on the block we have

Now we have

Part a)

Now we have to find work done by applied force

Part b)

Now work done by friction force is given as

Part c)

By work energy theorem we have

Total work done = change in kinetic energy

Part d)

Final speed of the block is given as

relativism, roughly put, is the view that truth and falsity, right and wrong, standards of reasoning, and procedures of justification are products of differing conventions and frameworks of assessment and that their authority is confined to the context giving rise to them. more precisely, “relativism” covers views which maintain that—at a high level of abstraction—at least some class of things have the properties they have (e.g., beautiful, morally good, epistemically justified) not simpliciter, but only relative to a given framework of assessment (e.g., local cultural norms, individual standards), and correspondingly, that the truth of claims attributing these properties holds only once the relevant framework of assessment is specified or supplied. relativists characteristically insist, furthermore, that if something is only relatively so, then there can be no framework-independent vantage point from which the matter of whether the thing in question is so can be established.

relativism has been, in its various guises, both one of the most popular and most reviled philosophical doctrines of our time. defenders see it as a harbinger of tolerance and the only ethical and epistemic stance worthy of the open-minded and tolerant. detractors dismiss it for its alleged incoherence and uncritical intellectual permissiveness. debates about relativism permeate the whole spectrum of philosophical sub-disciplines. from ethics to epistemology, science to religion, political theory to ontology, theories of meaning and even logic, philosophy has felt the need to respond to this heady and seemingly subversive idea. discussions of relativism often also invoke considerations relevant to the very nature and methodology of philosophy and to the division between the so-called “analytic and continental” camps in philosophy. and yet, despite a long history of debate going back to plato and an increasingly large body of writing, it is still difficult to come to an agreed definition of what, at its core, relativism is, and what philosophical import it has. this entry attempts to provide a broad account of the many ways in which “relativism” has been defined, explained, defended and criticized.

explanation: