Answer:
2080 IU
Explanation:
Given
Ratio of vitamin A in cow milk to goat milk = 3 : 4
Required
Determine the content of vitamin A in goat milk if cow milk has 1560 IU
The given parameters shows a direct proportion.
Let G represents Goat and C represent Cow
Given that there exists a direct proportion;
C = K * G where K represents the constant of proportionality.
Solving for K when C = 3 and G = 4
C = K * G becomes
3 = K * 4
3 = 4K
Divide through by 4
¾ = K
K = ¾
Now, solving for G given that C = 1560IU;
We'll make use of the same formula as above
C = K * G
Substitute 1560 for C and ¾ for K; the expression becomes
1560 = ¾ * G
Multiply both sides by 4
4 * 1560 = 4 * ¾ * G
6240 = 3 * G
Multiply both sides by ⅓
⅓ * 6240 = ⅓ * 3 * G
2080 = G
G = 2080
Hence, the vitamin A in the goat milk is 2080IU
Answer:
2440.24 J
Explanation:
Moment of inertia, I1 = 5 kg m^2
frequency, f1 = 3 rps
ω1 = 2 x π x f1 = 2 x π x 3 = 6 π rad/s
Moment of inertia, I2 = 2 kg m^2
Let the new frequency is f2.
ω2 = 2 x π x f2
here no external torque is applied, so the angular momentum remains constant.
I1 x ω1 = I2 x ω2
5 x 6 π = 2 x 2 x π x f2
f2 = 7.5 rps
ω2 = 2 x π x 7.5 = 15 π
Initial kinetic energy, K1 = 1/2 x I1 x ω1^2 = 0.5 x 5 x (6 π)² = 887.36 J
Final kinetic energy, K2 = 1/2 x I2 x ω2^2 = 0.5 x 3 x (15 π)² = 3327.6 J
Work done, W = Change in kinetic energy = 3327.6 - 887.36 = 2440.24 J
Answer:
Explanation:
Given
Required
Determine P(x = 3)
This is calculated using:
So, we have:
