Physics, 24.12.2019 04:31 cuzhernamesari

Atoy rocket is launched straight up by using a spring. the rocket is initially pressed down on the spring so that the spring is compressed by 9 cm. if the spring constant is 830 n/m and the mass of the rocket is 50 g, how high will the rocket go? you may neglect the effects of air resistance. a 14.48 m b 6.86 m c 10.84 m d 3.91 m e 8.03 m

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Answer from: Ruchen

B.6.86 m

Explanation:

Given that

Compression in spring ,x= 9 cm

Spring constant ,K= 830 N/m

Mass of the rocket ,m= 50 g = 0.05 kg ( 1 kg = 1000 g)

Now by applying energy conservation

$\dfrac{1}{2}Kx^2=mgh$

$h=\dfrac{1}{2\times mg}kx^2$

Now by putting the values ( we are taking g= 9.81 m/s²)

$h=\dfrac{1}{2\times 9.81\times 0.05}\times 830\times 0.09^2$

h= 6.853 m

Therefore the answer is B.

B.6.86 m

Answer from: Quest

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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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