A 0.600 kg toy car is powered by one 9V battery (9.00 V) connected directly to a small DC motor. The car has an effective energy conversion efficiency of 30.6 % , meaning that 30.6 % of the electric energy applied to the motor is converted into translational kinetic energy. After 5.69 s , the car, which is initially at rest, reaches a speed of 3.43 m / s . What is the average current supplied to the car's motor

The average current I supplied to the cars motor is 0.225 Amperes.

Explanation:

The mass of the toy car is given as, m = 0.6 kg

The toy car operates at a steady speed of, v =  3.43 m/s.

It achieves the steady speed after a time, t = 5.69 seconds.

The total kinetic energy of the car is given by,

E =

= 0.5 × 0.6 ×

= 3.53 Joules

Since the efficiency of the motor is 30.6%  = 0.306

The electrical energy equivalent is supplied to motor  = .

The electrical energy is given by P × t = I × V × t  = 11.54 Joules

P is the electric power where P = I × V where V is the voltage of the cell and is the average current, I.

Therefore we can write I × 9 × 5.69 = 11.54 Joules.

So the average current I = = 0.225 Amperes.

all of the answers are correct.

falsification is manipulating research materials, equipment, or processes or changing or omitting data or results such that the research is not accurately represented in the research record. plagiarism is the appropriation of another person's ideas, processes, results, or words without giving appropriate credit.

explanation:

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.

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.

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 . this process does not change the mass number.

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 -decay. in this the mass number remains same.

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