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viktelen [127]
3 years ago
15

A car accelerates uniformly from 0 km/hr to 60 km/hr in 4.5 seconds. Which one of the following choices best represents the acce

leration of the car?
(A) 13.3 m/s2
(B) 9.8 m/s2
(C) 4.8 m/s2
(D) 3.7 m/s2
(E) 0.37 m/s2
please show work
Physics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

The acceleration of the car is 3.7\ m/s^2.

Explanation:

It is given that,

Initial speed of the car, u = 0

Final speed of the car, v = 60 km/h = 16.66 m/s

Time, t = 4.5 s

We need to find the acceleration of the car. It is equal to the change in velocity divided by time taken. It can be given by :

a=\dfrac{v-u}{t}\\\\a=\dfrac{16.66-0}{4.5}\\\\a=3.7\ m/s^2

So, the acceleration of the car is 3.7\ m/s^2. Hence, this is the required solution.

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Before the impact, let the velocity of the baseball was v m/s.

After being hit by the bat its velocity is -2v
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a=(Deltav)/(Deltat)
=(3v)/0.37
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The international Space Station (ISS) orbits the Earth once every 90 mins at an altitude of 409 km. How high would it have to be
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It would have to be 36,719 Km high in order to be to be in geosynchronous orbit.

To find the answer, we need to know about the third law of Kepler.

<h3>What's the Kepler's third law?</h3>
  • It states that the square of the time period of orbiting planet or satellite is directly proportional to the cube of the radius of the orbit.
  • Mathematically, T²∝a³
<h3>What's the radius of geosynchronous orbit, if the time period and altitude of ISS are 90 minutes and 409 km respectively?</h3>
  • The time period of geosynchronous orbit is 24 hours or 1440 minutes.
  • As the Earth's radius is 6371 Km, so radius of the ISS orbit= 6371km + 409 km = 6780km.
  • If T1 and T2 are time period of geosynchronous orbit and ISS orbit respectively, a1 and a2 are radius of geosynchronous orbit and ISS orbit, as per third law of Kepler, (T1/T2)² = (a1/a2)³
  • a1= (T1/T2)⅔×a2

           = (1440/90)⅔×6780

           = 43,090 km

  • Altitude of geosynchronous orbit = 43,090 - 6371= 36,719 km

Thus, we can conclude that the altitude of geosynchronous orbit is 36,719km.

Learn more about the Kepler's third law here:

brainly.com/question/16705471

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