Physics, 24.11.2020 17:40 dante766

12. A roller coaster is sitting at the top of a 80 m hill and has 94646J. What is its mass? Calculate it and show your work.

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Answer from: sunshine52577oyeor9

Mass, m = 120.72 kg.

Explanation:

Given the following data;

P.E = 94646J

Height, h = 80m

We know that acceleration due to gravity is 9.8m/s²

Since the roller coaster is sitting at the top of a hill, it simply means it possesses energy due to its position.

Potential energy can be defined as an energy possessed by an object or body due to its position.

Mathematically, potential energy is given by the formula;

P.E = mgh

Where, P.E represents potential energy measured in Joules.

m represents the mass of an object. g represents acceleration due to gravity measured in meters per seconds square. h represents the height measured in meters.

To find its mass?

Substituting the values into the equation, we have;

94646 = m*9.8*80

94646 = m*784

$m = \frac {94646}{784}$

Mass, m = 120.72 kg.

Therefore, the mass of the roller coaster is 120.72 kilograms.

Answer from: Quest

answer: point c: b. 1/2 potential, 1/2 kinetic, point a: 3/4 of its potential energy, point d or b: 3/4 potential, 1/4 kinetic

explanation: i cant explain. it's difficult to explain.

How much of the roller coaster's kinetic and/or potential energy is at the following points? (pick

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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12. A roller coaster is sitting at the top of a 80 m hill and has 94646J. What is its mass? Calcula...

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