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Answer:
The ratio is 4
Explanation:
The moment of inertia of a solid sphere about a central axis is:
With m the mass and r the radius of the sphere.
For the smaller sphere with mass M and radius R the moment of inertia is:
(1)
For the bigger sphere with mass M and radius 2R the moment of inertia is:
(2)
The ratio between larger of the larger sphere's moment of inertia about a central axis to that of the smaller sphere is the ratio between (2) and (1):
The term cancels, so:
Answer:
The approximate displacement of the object is <u>23 </u>m.
Explanation:
Given that:
v = 4t + 5 (m/s) for 3< t< 7; n= 4
The approximate displacement of the object can be calculated as follows:
The velocities at the intervals of t are :
3
4
5
6
the velocity at the intervals of t = 7 will be left out due the fact that we are calculating the left endpoint Reimann sum
n = 4 since there are 4 values for t, Then there is no need to divide the velocity values
v(3) = 4(3)+5
v(3) = 12+5
v(3) = 17
v(4)= 4(4)+5
v(4) = 16 + 5
v(4) = 21
v(5)= 4(5)+5
v(5) = 20 + 5
v(5) = 25
v(6) = 4(6)+5
v(6) = 24 + 5
v(6) = 29
Using Left end point;
= 23 m