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3 years ago

When are zeros significant when found to the trailing (to the right) of the decimal point?

Physics

1 answer:

Lelechka [254]3 years ago

7 0

Answer:

Usually, zeroes are found to the right of a decimal point in significant numbers if you have something like $7\frac{1}{100000000000000000000000000}$ (exaggerated example of course), which is when you have a number that is very very close to the integer before it, but isn't that integer.

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The period of a pendulum T depends on a constant g and the length of the pendulum ????in a relation given by

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You are working with a team that is designing a new roller coaster-type amusement park ride for a major theme park. You are pres

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Answer:

The required constant friction force for the last 20 m is 6,862.8 N

Explanation:

Energy Conversion

There are several ways the energy is manifested in our physical reality. Some examples are Kinetic, Elastic, Chemical, Electric, Potential, Thermal, Mechanical, just to mention some.

The energy can be converted from one form to another by changing the conditions the objects behave. The question at hand states some types of energy that properly managed, will make the situation keep under control.

Originally, the m=220 kg car is at (near) rest at the top of a h=101 m tall track. We can assume the only energy present at that moment is the potential gravitational energy:

$E_1=mgh=220\cdot 9.8\cdot 101=217,756\ J$

For the next x1=230 m, a constant friction force Fr1=350 N is applied until it reaches ground level. This means all the potential gravitational energy was converted to speed (kinetic energy K1) and friction (thermal energy W1). Thus

$E_1=K_1+W_1$

We can compute the thermal energy lost during this part of the motion by using the constant friction force and the distance traveled:

$W_1=F_{r1}\cdot x_1=350\cdot 230=80,500\ J$

This means that the kinetic energy that remains when the car reaches ground level is

$K_1=E_1-W_1=217,756\ J-80,500\ J=137,256\ J$

We could calculate the speed at that point but it's not required or necessary. That kinetic energy is what keeps the car moving to its last section of x2=20 m where a final friction force Fr2 will be applied to completely stop it. This means all the kinetic energy will be converted to thermal energy:

$W_2=F_{r2}\cdot x_2=137,256$