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3 years ago

Show that linear S.H.M is projection of a U.C.M along any of its diameter

1 answer:

4 0

It shows that acceleration of particle M is directly proportional to its displacement and its direction is opposite to that of displament. Thus particle M performs simple harmonic motion but M is projection of particle performing U.C.M. hence S.H.M. is projection of U.C.M. along a diameter, of circle.

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Please help I'm desperate. and please explain how need to show work!

ehidna [41]

Answer:

33.2 m/s

Explanation:

In order to solve this problem, we need to know the mass of the car.

Here, we assume that the mass of the car is

m = 1 kg

Then, we can apply the work-energy theorem, which states that the work done on the car by the braking force is equal to the change in its kinetic energy:

$W=\Delta E_k\\Fd=\frac{1}{2}mv^2-\frac{1}{2}mu^2$

where:

F = -3.87 N is the force applied by the brakes (negative because its direction is opposite to the motion of the car)

d = 4.92 m is the displacement of the car

u = 33.8 m/s is the initial velocity of the car

v is the final velocity of the car

Therefore, solving for v, we find:

$v=\sqrt{\frac{2Fd}{m}+u^2}=\sqrt{\frac{2(-3.87)(4.92)}{1}+(33.8)^2}=33.2 m/s$

6 0

4 years ago

An 8 kg block is pushed across a horizontal surface by a horizontally oriented force whose magnitude varies in time. The instant

Naya [18.7K]

Answer:

4.5 m

Explanation:

We are given that

Mass of block,m=8 kg

$P_push(t)=(4\frac{W}{s^3})t^3$

Apply work energy theorem

$Wdt=d(K.E)$

Where $W=4t^3$

Integrating on both sides

$\int_{0}^{t} 4t^3dt=\int d(K.E)$

$K.E=t^4$

$v=\sqrt{\frac{2K.E}{m}}$

$v=\sqrt{\frac{2t^4}{8}}=\frac{t^2}{2}$

$\frac{ds}{dt}=\frac{t^2}{2}$

$ds=\frac{1}{2}t^2dt$

integrating on both sides

$s=\int_{0}^{t}\frac{1}{2}t^2 dt$

$s=\frac{1}{6}t^3$

Substitute t=3 s

$s=\frac{1}{6}(3)^3=4.5 m$

Hence, the displacement of the block after 3 s=4.5 m

3 0

3 years ago

What are the major sources of energy utilized during a 100 meter race, a 1000 meter race, and a marathon

garri49 [273]

Answer:

The energy from food and then from plants and then from sun.

As sun is the ultimate source of energy.

Explanation:

Distance = 100 m, 1000m, marathon

As the distance is covered by the person, so the muscular energy is used and thus the energy comes form out food.

As we know that the energy can neither be created nor be destroyed it can transform from one form to another.

So, the energy form the food which we consume is converted into the kinetic energy as we run.

7 0

3 years ago

What’s the difference between mechanical and chemical weathering

vampirchik [111]

Answer:

Mechanical weathering is the physical breakdown of rock into smaller pieces. Chemical weathering is the breakdown of rock by chemical processes.

Explanation:

Mechanical weathering (also called physical weathering) breaks rock into smaller pieces. These smaller pieces are just like the bigger rock, just smaller. That means the rock has changed physically without changing its composition. The smaller pieces have the same minerals, in just the same proportions as the original rock.

Chemical weathering is the other important type of weathering. Chemical weathering is different from mechanical weathering because the rock changes, not just in size of pieces, but in composition Chemical weathering works through chemical reactions that cause changes in the minerals.

5 0

3 years ago

The amount of potential energy possessed by an elevated object is equal to

Sedbober [7]

Answer:

Potential energy of the object will be equal to mgh

Explanation:

Let the mass of the object is m

Acceleration due to gravity is $gm/sec^2$

Let the object is released from height h

We have to find the potential energy

Potential energy is of an object released from height h is equal to

$U=mgh$ , here m is mass, g is acceleration due to gravity and h is height from which object is released.

4 0

4 years ago