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Lady bird [3.3K]
3 years ago
15

A roller coaster has a mass of 250 kg,

Physics
1 answer:
N76 [4]3 years ago
6 0
Potential Energy = mass x gravity x height
PE = mgh
PE = 250kg x 9.8 m/s^2 x 50m
PE = 118,750 joules = 118kJ
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The maximum speed at which a patch of the surface moves during a vibration is 4.5 m/s . What is the amplitude of the vibration,
frutty [35]

Answer:

a) Angular frequency, w = 0.0184 rad/s

b) Amplitude of vibration = 245 m

Explanation:

a) Angular frequency, w = 2πf

f = 1/T, T = 5.7 minutes = 5.7 × 60 = 342 s

f = 1/342 = 0.00292 Hz or 0.00292/s

w = 2π (0.00292) = 0.0184 rad/s

b) Amplitude of simple harmonic motion,

displacement of simple harmonic motion, x(t) = A cos (wt-Φ)

A = amplitude

v = dx/dt = - Aw (sin (wt - Φ)

Velocity amplitude of simple harmonic motion = Amplitude × angular frequency

Amplitude = (velocity amplitude)/(angular frequency) = 4.5/0.0184 = 245m

Hope this Helps!!!

7 0
3 years ago
How can you tell whether something has kinetic energy?
Bond [772]
<h2>If the object is moving then it has kinetic energy</h2>
6 0
3 years ago
What's √ 25what's √ 25 ​
malfutka [58]

Answer:

the square root of 25 is 5

Explanation:

\sqrt{25}=5

5 0
3 years ago
What is precision?what is precision? ​
RUDIKE [14]

Answer:

According to Oxford Dictionaries "Precision" means "the quality, condition, or fact of being exact and accurate."

Explanation:

Hope this helps! :)

6 0
2 years ago
Read 2 more answers
You are on the steep edge of the Grand Canyon, which is miles deep. You fire an arrow at an 89-degree angle towards the canyon (
SpyIntel [72]

Answer:

a. The arrow follows a parabolic path

b. As the arrow hits the ground,

Explanation:

a Describe the arrow's trajectory, in particular noting approximately when the arrow has the most deceleration, the most acceleration, and then why the shift begins to happen. Cover all major points in the trajectory from initial shot to final resting place.

This is because, the arrow is a projectile and its path follows a parabolic curve as it goes from initial shot to final resting place.

Its equation of motion is governed by y = ut - 1/2gt² where y = parabolic path, u = initial speed of arrow, t = time and g = acceleration due to gravity.

As the arrow rises, it undergoes the most deceleration. This is because as it rises, its speed decreases until it gets to the peak of its path, where its velocity is momentarily zero.  

Also, as the arrow drops, it undergoes the most acceleration. This is because as it drops from its peak, its speed increases until it gets to the bottom of its path, where its velocity is maximum and given by v = u' - gt where u' = velocity at peak = 0 m/s. So, v = 0 - gt = -gt.

b. When is the arrow moving fastest?

As the arrow hits the ground, its velocity is highest (maximum), so it is fastest at this point.

4 0
3 years ago
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