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IrinaK [193]
1 year ago
11

S GP A projectile of mass m moves to the right with a speed vi (Fig. P11.51a). The projectile strikes and sticks to the end of a

stationary rod of mass M , length d , pivoted about a frictionless axle perpendicular to the page through O (Fig. P11.51b). We wish to find the fractional change of kinetic energy in the system due to the collision.(g) What is the kinetic energy of the system after the collision?
Physics
1 answer:
Andrews [41]1 year ago
8 0

What is the kinetic energy of the system after the collision?

K_f=\frac{3}{2} \frac{m^{2}v_i^{2}  }{(M+3m)}

How this is calculated?

Given:

Initial speed=v_i

mass of rod=M

Let, Initial kinetic energy =K_i

Final kinetic energy=K_f

Moment of inertia =I

What is the moment of inertia?

I=(I_p)_0+(I_{rod})_0\\I=m(\frac{d}{2})^{2}  +\frac{Md^{2} }{12} \\I=\frac{(M+3m)d^{2} }{12}

What is the angular momentum?

By conservation of angular momentum,

L_i=L_f

mv_i\frac{d}{2}=\frac{(M+3m)d^{2}\omega }{12}  \\\omega=\frac{6mv_i^{2} }{d(M+3m)}

We know that, the final kinetic energy is given by,

K_f=I\omega^{2}\\K_f=\frac{1}{2} *\frac{(M+3m)d^{2} }{12} *\frac{36m^{2}v_i^{2}}{d^{2}(M+3m)^{2}}\\ K_f=\frac{3}{2} \frac{m^{2}v_i^{2}  }{(M+3m)}

What is the kinetic energy?

  • In physics, the kinetic energy of an object is the energy that it possesses due to its motion.
  • It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity.
  • Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes.

To know more about kinetic energy, refer:

brainly.com/question/114210

#SPJ4

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Master of physics needed
Delicious77 [7]
Hey JayDilla, I get 1/3.  Here's how:
Kinetic energy due to linear motion is:
E_{linear}= \frac{1}{2}mv^2
where
v=r \omega
giving
E_{linear}= \frac{1}{2}mr^2 \omega ^2

The rotational part requires the moment of inertia of a solid cylinder
I_{cyl} =  \frac{1}{2}mr^2
Then the rotational kinetic energy is
E_{rot}= \frac{1}{2}I \omega ^2= \frac{1}{4}mr^2 \omega ^2
Adding the two types of energy and factoring out common terms gives
\frac{1}{2}mr^2 \omega ^2(1+ \frac{1}{2})
Here the "1" in the parenthesis is due to linear motion and the "1/2" is due to the rotational part.  Since this gives a total of 3/2 altogether, and the rotational part is due to a third of this (1/2), I say it's 1/3.

8 0
4 years ago
A piano string having a mass per unit length of 5.00 g/m is under a tension of 1350 N. Determine the speed of transverse waves i
padilas [110]

Answer:

The speed of transverse waves in this string is 519.61 m/s.

Explanation:

Given that,

Mass per unit length = 5.00 g/m

Tension = 1350 N

We need to calculate the speed of transverse waves in this string

Using formula of speed of the transverse waves

v=\sqrt{\dfrac{T}{\mu}}

Where, \mu = mass per unit length

T = tension

Put the value into the formula

v = \sqrt{\dfrac{1350}{5.00\times10^{-3}}}

v =519.61\ m/s

Hence, The speed of transverse waves in this string is 519.61 m/s.

6 0
3 years ago
A positive charge and a negative charge held a certain distance apart are released. as they move, the force on each particle:___
iVinArrow [24]

A positive charge and a negative charge held a certain distance apart are released. as they move, the force on each particle increases

The most common charge carriers are the positively charged proton and the negatively charged electron. The movement of any of these charged particles constitutes an electric current

<h3>What is a Charge ?</h3>

When there are more or fewer protons in an atom than electrons, the substance has an electric charge. Protons have a positive charge, while electrons have a negative charge. If a substance has more protons than electrons, it is positively charged; if it has more electrons, it is negatively charged.

  • The SI units for charge are ampere-second or coulomb. When one ampere of electric current goes through the conductor for one second, one coulomb of charge passes through it. Charge is denoted by the formula Q = I t.

Learn more about Charge here:

brainly.com/question/18102056

#SPJ4

7 0
2 years ago
What does the statement "all motion is relative"<br> mean?
tekilochka [14]
The statement that motion is relative is an important concept in physics. The meaning behind this statement is that the motion of an object is relative to either the frame of reference of the observer, or to another distinct frame of reference.
4 0
3 years ago
Two balls are thrown from a cliff. One is thrown directly up, the other directly down. Both balls have the same initial speed, a
Otrada [13]

Answer:

both the same

Explanation:

When a ball is thrown vertically upwards, it experiences that same acceleration due to gravity as an object thrown directly downwards.

This means that if we ignore the effects of air resistance, and the two balls have the same initial speed, they are expected both expected to hit the ground at the same speed as a result of the principle of conservation of energy.

8 0
3 years ago
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