Physics, 15.11.2019 17:31 genyjoannerubiera

With what minimum speed must you toss a 200 g ball straight up to just touch the 12-m-high roof of the gymnasium if you release the ball 1.4 m above the ground? solve this problem using energy. express your answer to two significant figures and include the appropriate units.

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Answer from: ebzloera

v = 14.41 m/s

Explanation:

It is given that,

mass of the ball, m = 200 g = 0.2 kg

Height of the roof, h = 12 m

The ball is tossed 1.4 m above the ground, h' = 1.4 m

Let v is the minimum speed with which the ball is tossed. Using the conservation of energy to find it as :

E_p=E_k

$mg(h-h')=\dfrac{1}{2}mv^2$

$g(h-h')=\dfrac{1}{2}v^2$

$v=\sqrt{2g(h-h')}$

$v=\sqrt{2\times 9.8(12-1.4)}$

v = 14.41 m/s

So, the minimum speed with which the ball is thrown straight up is 14.41 m/s. Hence, this is the required solution.

Answer from: Quest

okay so, true love is something that isn't easily explained but i'll try.

love is much more than just a word, it is an action word and that word must be acted out in order for it's full potential to be used. true love in with world is hard to come by and it isn't something that comes easy, true love goes through hardships and trails but in the end it is always there.

as far as sharing true love with you, it's almost impossible to do such through a computer, there is no true emotion to be given. though a friendship can be arranged : )

Answer from: Quest

answer: the correct answer is 1.

explanation: there are various process in which a radioactive nuclei decays:

1) alpha decay: in this process, a heavier nuclei decays into lighter nuclei by releasing alpha particle. the mass number is reduced by 4 units.

$_a^z\textrm{x}\rightarrow _{a-2}^{z-4}+_2^4\alpha$

2) electron capture: in this decay process, a parent nuclei absorbs an electron and gets converted into a neutron. simply, a proton and an electron combines together to form a neutron. mass number does not change in this process.

$_a^z\textrm{x}+_{-1}^0\textrm{e}\rightarrow _{z-1}^a\textrm{y}$

3) gamma ray emission: it is a decay process in which an unstable nuclei gives excess energy by a spontaneous electromagnetic process. this decay releases $\gamma -radiations$ . this process does not change the mass number.

$_a^z\textrm{x}^*\rightarrow _a^z\textrm{x}+_0^0\gamma$

4) positron emission: it is a type of decay process, in which a proton gets converted to neutron and an electron neutrino. this is also known as $\beta ^+$ -decay. in this the mass number remains same.

$_a^z\textrm{x}\rightarrow _{z-1}^a\textrm{y}+_{+1}^0e$

from the above information, we see that only alpha-decay is producing a change in the mass number of the nucleus.

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With what minimum speed must you toss a 200 g ball straight up to just touch the 12-m-high roof of t...