Answer: I = 3.6 m3
(C)
Explanation:
moment of inertia for spherically shaped object around it's center is given as
I = (2/5) mr²
substituting the r = 3m²
I = (2/5)*(9) m3
I = 3.6 m3
Answer:
The mass of the block, M =T/(3a +g) Kg
Explanation:
Given,
The upward acceleration of the block a = 3a
The constant force acting on the block, F₀ = Ma = 3Ma
The mass of the block, M = ?
In an Atwood's machine, the upward force of the block is given by the relation
Ma = T - Mg
M x 3a = T - Ma
3Ma + Mg = T
M = T/(3a +g) Kg
Where 'T' is the tension of the string.
Hence, the mass of the block in Atwood's machine is, M = T/(3a +g) Kg
Answer:
The work done will be 57.15 J
Explanation:
Given that,
Mass = 12 kg
Distance = 3 m
Force = 22 N
Angle = 30°
We need to calculate the work done
The work done is defined as,
Where, F = force
d = displacement
Put the value into the formula
Hence, The work done will be 57.15 J
The specific heat of the metal, assuming no heat is exchanged with the surroundings is 2140 J/(kg•K).
<h3>
Specific heat capacity of the metal</h3>
The specific heat capacity of the metal is determined from the principle of conservation of energy.
energy lost by the metal = energy gained by aluminum + energy gained by water
Q = mcΔθ
where;
- m is mass (kg)
- c is specific heat capacity
- Δθ is change in temperature
0.425c(100 - 40) = 0.1(900)(40 - 15) + 0.5(4186)(40 - 15)
25.5c = 2250 + 52,325
c = 54,575/25.5
c = 2140 J/(kg•K)
Learn more about specific heat capacity here: brainly.com/question/21406849
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This is a sneaky trick question, to help you discover whether you know
one of the differences between velocity and speed.
=======================================
If you make a list of the distances and directions, and ignore the times,
you find these:
4 - west, (3 + 1) - east . . . . . zero in the east/west direction
1.5 - north, 1.5 - south . . . . . zero in the north/south direction
This jogger went out, had a nice jog around the neighborhood,and ended up exactly where he started.
Average velocity = (distance between start point and end point) / (time)
IF the question asked for average SPEED, then you would need the total distance, and divide it by the total time. But it asks for VELOCITY, and <u>that</u> only involves the straight distance between the start point and the end point, regardless of the route taken in between.
The jogger ended up exactly where he started. The distance between start and end points was zero. Average velocity is (zero) / (time) . And that fraction is going to be <em><u>Zero</u></em>, no matter how long or how short the trip was, and no matter how much time it took.
