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nordsb [41]
3 years ago
12

You are riding on a roller coaster that starts from rest at a height of 25.0 m and moves down a frictionless track to a height o

f 3.00 m.
How fast are you moving when you arrive at the 3.00-m height?- 22.1 m/s
- 20.8 m/s
- 23.4 m/s
- 14.7 m/s
Physics
1 answer:
hjlf3 years ago
7 0

To solve this problem, we need to use both energy conservation and potential kinetic equations.

When the energy accumulated from a certain height is released, it becomes 'motion' energy or kinetic energy. Mathematically this can be expressed as

PE = KE

mg\Delta h = \frac{1}{2}mv^2

Where

m = mass

g = Gravitational acceleration

v = Velocity

\Delta h = Change of the height

We know that the body, based on a reference system where the floor is the zero coordinate, starts from being 25 meters high to fall to 3 meters high, so the total difference in height would be

\Delta h = 25-3

We also have to

g = 9.8m/s^2

Using the previous equation we have to:

mg\Delta h = \frac{1}{2}mv^2

g\Delta h = \frac{1}{2}v^2

v = \sqrt{2g\Delta h}

Replacing

v = \sqrt{2(9.8)(25-3)}

v = 20.76m/s\approx 20.8m/s

The correct answer is 20.8m/s

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Calculate the RMS voltage of the following waveforms with 10 V peak-to-peak:
Deffense [45]

Answer:

a) T=0.01s

b) T=0.001s

c) T=0.00001s

Explanation:

From the question we are told that:

Given Frequencies

a. 100 Hz,

b. 1 kHz,

c. 100 kHz.

Generally the equation for Waveform Period is mathematically given by

T=\frac{1}{f}

Therefore

a)

For

T=100 Hz

T=\frac{1}{100}

T=0.01s

b)

For

F=1kHz

T=\frac{1}{1000}

T=0.001s

c)

For

F=100kHz

T=\frac{1}{100*100}

T=0.00001s

6 0
3 years ago
How long does a lunar eclipse last? A)seconds B)Minutes C)Days D) Weeks
bonufazy [111]
Well, it happens a few weeks ahead, then for a total of 3 hours and 40 minutes.
3 0
3 years ago
A body moves in a straight line. At time, it's acceleration is given by a = 12t + 1. When t =0, the velocity of the body v is 2
madreJ [45]

Answer:

v = 6t² + t + 2, s = 2t³ + ½ t² + 2t

59 m/s, 64.5 m

Explanation:

a = 12t + 1

v = ∫ a dt

v = 6t² + t + C

At t = 0, v = 2.

2 = 6(0)² + (0) + C

2 = C

Therefore, v = 6t² + t + 2.

s = ∫ v dt

s = 2t³ + ½ t² + 2t + C

At t = 0, s = 0.

0 = 2(0)³ + ½ (0)² + 2(0) + C

0 = C

Therefore, s = 2t³ + ½ t² + 2t.

At t = 3:

v = 6(3)² + (3) + 2 = 59

s = 2(3)³ + ½ (3)² + 2(3) = 64.5

5 0
3 years ago
Approximately how much air is in a column 1-cm2 in cross section that extends from sea level to the top of the atmosphere?
laila [671]

Approximately 101 N air is in a column 1-cm2 in cross-section that extends from sea level to the top of the atmosphere

The basic level for determining height and depth on Earth is the sea level. The ocean's surface tends to seek the same level since it is one continuous body of water. However, the sea level is never fully level due to winds, currents, river discharges, and changes in gravity and temperature.

At the equator, the radius of the Earth at sea level is 6378.137 km (3963.191 mi). At the poles, it is 6,356.752 km (3,949.903 km), and on average, it is 6,371.001 km (3,958.756 mi). The elevation of the shoreline—the boundary between the ocean and the land—is referred to as sea level. Land that is higher than this altitude is above sea level, and land that is lower is below sea level.

To learn more about sea level please visit -
brainly.com/question/2113249
#SPJ4

8 0
2 years ago
Which poison was used in the Jonestown massacre?
olga nikolaevna [1]
That would be Cyanide. 

Hope this helps! (:
3 0
3 years ago
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