Physics, 03.03.2020 03:30 ester32152

A pitcher claims he can throw a 0.145-kg baseball with as much momentum as a 3.00-g bullet moving with a speed of 1.50 3 103 m/s. (a) What must the baseball’s speed be if the pitcher’s claim is valid? (b) Which has greater kinetic energy, the ball or the bullet?

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Answer from: presleyann1902

(a) Speed of baseball is 31.03 m/s

(b) Bullet has greater kinetic energy than baseball

Explanation:

Given :

Mass of baseball, M = 0.145 kg

Mass of bullet, m = 3 g = 3 x 10⁻³ kg

Speed of bullet, v = 1.50 x 10³ m/s

Let u m/s be the speed of the baseball.

(a)

According to the problem, momentum of bullet and momentum of baseball is same. So,

M x u = m x v

$u=\frac{m\times v}{M}$

Substitute the values of m, M and v in the above equation.

$u=\frac{3\times10^{-3}\times1.50\times10^{3} }{0.145}$

u = 31.03 m/s

(b) Kinetic energy of baseball is given by the relation :

$K_{1}=\frac{1}{2} Mv^{2}$

Substitute the values of M and v in the above equation. $K_{1}=\frac{1}{2} \times 0.145\times(31.03)^{2}$

K₁ = 69.80 J

Kinetic energy of bullet is given by the relation :

$K_{2}=\frac{1}{2} m u^{2}$

Substitute the values of M and v in the above equation.

$K_{2}=\frac{1}{2}\times3\times10^{-3}\times(1.50\times10^{3} )^{2}$

K₂ = 3375 J

Since, K₂ is greater than K₁, hence bullet has greater kinetic energy than baseball.

Answer from: Quest

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Answer from: Quest

-first use of geothermal energy occurred more than 10,000 years ago in north america by american paleo-indians

-the first industrial use of geothermal energy began near pisa, italy in late 18th century

-in 1904, italian scientist piero ginori conti invented the first geothermal electric power plant in which steam was used to generate the power

-with the above experiment, the first geothermal plant in usa started in 1922 with a capacity of 250 kilowatts

-however, in 1946 first ground-source geothermal heat pump installed at commonwealth building in portland, oregon

-during the 1960’s, pacific gas and electric began operation of first large scale geothermal power plant in san francisco, producing 11 megawatts

-in 1973, when oil crisis began many countries began looking for renewable energy sources and by 1980’s geothermal heat pumps (ghp) started gaining popularity in order to reduce heating and cooling costs

-as effect of climate change started showing results, governments of various countries joined hands to fight against it, for which kyoto protocol was signed in japan in 1997, laid out emission targets for rich countries and required that they transfer funds and technology to developing countries, 184 countries have ratified it

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A pitcher claims he can throw a 0.145-kg baseball with as much momentum as a 3.00-g bullet moving wi...

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