a block of mass 3 kg slides down an inclined plane at an angle of p with a massless tether attached to a pulley with mass 1 kg and radius 0.5 m at the top of the incline (see the following figure). the pulley can be approximated as a disk. the coefficient of kinetic friction on the plane is 0.4. what is the acceleration of the block?

Answers

Answer 1

The acceleration of the block is 4.16 m/s^2 when the block slides down on inclined plane at an angle 45 degrees.

Acceleration is a dynamic characteristic of an object. Acceleration (a) can be obtained via inertial force (F) on a mass (m) subjected to acceleration (a) of the moving object:

F = - m a

The inertial force can be measured either through strain (if deformation is min) or through the deformation of elastic element. Equal increments of speed gained in equal time intervals,Distance increases in each time interval.The unit of acceleration in the System International: m/s2.

Acceleration shows how fast an object changes its velocity. If an object is moving with constant velocity, acceleration is equal zero: Positive and Negative Acceleration.Positive acceleration: velocity increases with the time and Negative acceleration: velocity decreases with the time.

Given,

m=3kg

angle = 45 degrees

Uk= 0.2

by the equation ,

mgsinФ-f-T=ma

3* 9.81*sin45-UkN-T=3a----(1)

T=a----(2)

Now,N= mgcos45

          = 3*9.81/sqrt2

solve eqn (1) and put value in (2)

a=4.16 m /s^2

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Related Questions

PREPARING FOR DISCUSSION
1. On your own: What key ideas have we learned so far in this unit about the properties of
substances that are important to life on Earth and how they combine with one another?
Write as many as you can.

Answers

The substances that are important to life on Earth  on are in the forms of solid, liquid and gas and they are combined with one another by different physical and chemical reactions.

What are the properties of substances on the Earth?On Earth, matter exists as solid, liquid, or gas.Atoms and molecules, which are extremely small building blocks, make up solids, liquids, and gases.The particles in a solid are strongly drawn to one another. They vibrate in place and are near to one another, but they don't pass one another.The attraction between the particles in a liquid is present, but it is not as strong as it is in a solid. A liquid's particles can slide past one another because they are close together, moving constantly.Particles in a gas have very little attraction to one another. In comparison to the particles in a solid or liquid, they are constantly moving and quite far apart.

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the following six particles (with rest energy e0e0 and kinetic energy kk as indicated) are collided with their antimatter partners traveling in the opposite direction with the same kinetic energy. the resulting matter-antimatter annihilation produces a pair of photons traveling in opposite directions. part a rank these particles on the basis of energy of the photons they create. rank from largest to smallest. to rank items as equivalent, overlap them.

Answers

Rank of particles on the basis of energy is  2 > 3 = 4 > 1 > 5 = 6 and Rank of particles on the basis of speed is 1=2=3=4=5=6.

Speed is same for all that is speed of light. Energy can produce both positive and negative charges +q and −q.  when a charged particle and antiparticle annihilate each other. If +q and −q both are 0 that implies m equals 0.

when an electron and positron annihilate to produce two real photons of zero mass moving away with the same energy as the electron positron pair to conserve energy.

Besides opposite charges, opposite times must also cancel out. For the electron time moves in the forward direction while for the positron time moves in the backward direction. Hence time also cancels out leading to two photons which move at the speed of light for which time stands still.

Antimatter has been considered as a trigger mechanism for nuclear weapons,and as the possibility of creating thermonuclear energy.

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