The potential energy at the end of the loop is equal to 0.3407 Joules.
<u>Given the following data:</u>
- Mass of rock = 102.16 g to kg = 0.10216 kilogram.
- Height of the loop = 34 cm to m = 0.34 meter.
- Acceleration due to gravity = 9.8

<h3>What is potential energy?</h3>
Potential energy (P.E) refers to the energy that is possessed by an object due to its position (height) above planet Earth.
Mathematically, potential energy (P.E) is given by this formula;

<u>Where:</u>
- m is the mass of an object.
- g is the acceleration due to gravity.
- h is the height of an object.
Substituting the given parameters into the formula, we have;

P.E = 0.3407 Joules.
<h3>What is kinetic energy?</h3>
Kinetic energy (K.E) refers to an energy that is possessed by a physical object due to its motion.
Mathematically, kinetic energy (K.E) is given by this formula;

<u>Note:</u> You'll have to calculate the velocity from the distance traveled by the car and photogate time in your experiment.
Based on the law of conservation of energy, we can deduce the following points:
- Potential energy (P.E) is <u>highest</u> at the top of the loop while kinetic energy (K.E) is <u>lowest</u>.
- Kinetic energy (K.E) is <u>highest</u> underneath the loop while potential energy (P.E) is <u>lowest</u>.
Read more on potential energy here: brainly.com/question/8664733
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The cart is moving by simple harmonic motion, and its position at time t is described by

where
A is the amplitude of the oscillation

is the angular frequency
The amplitude of the oscillation corresponds to the maximum displacement of the spring, which corresponds to the initial position where the spring was released:
A=0.250 m
The period of the motion is T=5.67 s, and the angular frequency is related to the period by

Therefore now we can calculate the position of the system at the time t=29.6 s:
Basically, when someone is resting in an accelerated vehicle without restraint from a seatbelt, the force of stopping the vehicle will be when inertia occurs, and that force of the vehicle coming to a stop will affect the passenger (without a seatbelt/restraint from another force or object) greatly by throwing them.
For example;
If I were to be riding in a vehicle (without a seatbelt) that's accelerating at 40 m/s^2 and it suddenly gets slammed on the breaks, I will be thrown forward from inside the vehicle.
I hope this helps!
Answer
A
Explanation:
Weight = Mass x Acceleration due to gravity
Weight = 1000 x 9.81
= 9810 or 9.81x10^ 3