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32
The diagram below shows three points on a roller coaster track. A car starts from rest at point X
and travels along the track. Assume friction is negligible.
16 m
0204
Z
Height
2 m
a. Identify whether the car's gravitational potential energy increases, decreases, or stays the
same as the car moves from point X to point Y.
b. Identify whether the car's kinetic energy increases, decreases, or stays the same as the car
moves from point Y to point Z.
The car has a mass of 600 kg.
c. Calculate the gravitational potential energy of the car at its maximum height. Show your
calculations and include units in your answer.
d. Calculate the maximum kinetic energy of the car. Show your calculations and include units
in your answer.

step-by-step explanation:

we are given

we have to simplify it

firstly, we will factor it

now, we can cancel like terms

now, we can combine it

so, we get

firearm identification is the process of analyzing the bullets and cartridge cases left at a crime scene to determine if they came from a particular firearm. marks on the bullets and cartridges may be common to every firearm of that type. these are called class characteristics.

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.