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Advocard [28]
3 years ago
6

Compare the acceleration of a motorcycle that accelerates from 80 km/h to 90 km/h

Physics
1 answer:
ololo11 [35]3 years ago
8 0

Speed is a magnitude, a scalar quantity (i.e. 65 mph)  

Velocity is a magnitude and direction, a vector quantity (i.e. 65 mph north)  

Acceleration is the change in velocity over a unit of time  

(1) Different rates of acceleration.  

Given for the motorcycle:  

Vi = 80 km/h  

Vf = 90 km/h  

Given for the bicycle  

Vi = 0.0 km/h  

Vf = 10 km/h  

*IF* the time unit is the same (let's say 10 seconds), the actual value is the SAME for each, because the change in velocity was the same for each. 10 km/h over 10 seconds.  

a = [ Vf - Vi ] / t  

a = [ (90 km/h) - (80 km/h) ] / (360 h)  

a = [ 10 km/h ] / (360 h)  

a = 0.023 km/h^2  

See, same thing, bicycle or motorcycle, change is 10 km/h, over the same time period gives the same value.  

Incidentally, you should usually use meters per second (m/s) and seconds (s) not hours and kilometers.

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at distance r=3R from the centre, the particle feels the effect of gravity due to both the core of the planet and the outer shell between R and 2R.

So, we have to consider the total mass that exerts the gravitational attraction at r=3R, which is the sum of the mass of the core (M) and the mass of the shell (4M):

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<em><u>i</u></em><em><u>e(</u></em><em><u>p</u></em><em><u>=</u></em><em><u>m×</u></em><em><u>v</u></em><em><u>)</u></em>

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