Answer:
Ranking the cars based on magnitude of momentum <em>(largest to smallest)</em>:
1. Purple, Light Blue
2. Red, Yellow, Blue
3. Green
Explanation:
Based on the given parameters ( mass and velocity), we can calculate the momentum of the various cars using the formula:
momentum = mass x velocity
1. Momentum of red car = 1000kg x 10m/s = 10,000Kgm/s
2. Momentum of Yellow car = 2000kg x 5m/s = 10,000Kgm/s
3. Momentum of blue car = 500kg x 20m/s = 10,000Kgm/s
4. Momentum of light blue car = 1000kg x 20m/s = 20,000Kgm/s
5. Momentum of green car = 500kg x 10m/s = 5,000Kgm/s
6. Momentum of purple car = 4000kg x 5m/s = 20,000Kgm/s
Hence,
Ranking the based on magnitude of momentum <em>(largest to smallest)</em> we have:
1. Purple, Light Blue
2. Red, Yellow, Blue
3. Green
Answer:
k=0.0577w/mk
k=0.03338BTU/h-ft-ºF
Explanation:
First we use the equation for heat transfer by conduction and solve for K
Q=KA(T2-T1)/x
Where
q=heat
A=area
T=temperature
K=conductivity
x=thickness
solving for k
k=Qx/A(T2-T1)
Q/A=Heat flux=q
k=qx/(T2-T1)
k=35.1*0.025/(318.4-303.2)
K=0.0577w/mk
remember that 1 btu / hftk equals 1,729 w / mk
K=0.0577/1.729=0.03338BTU/h-ft-ºF
Answer:
Explanation:
<u>Given Data:</u>
Cycles = c = 3 cycles
Time = t = 2 seconds
<u>Required:</u>
Time period = T = ?
<u>Formula:</u>
1) f = c/t
2) T = 1/f
<u>Solution:</u>
<u>Finding frequency first:</u>
f = c / t
f = 3/2
f = 1.5 Hz
<u>Now, finding period:</u>
T = 1/f
T = 1 / 1.5
T = 0.67 seconds
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Answer:
v_f = 1.05 m/s
Explanation:
From conservation of energy;
E_f = E_i
Thus,
(1/2)m(v_f)² + (1/2)I(ω_f)² + m•g•h_f + (1/2)k•(x_f)² = (1/2)m(v_i)² + (1/2)I(ω_i)² + m•g•h_i + (1/2)k•(x_i)²
This reduces to;
(1/2)m(v_f)² + (1/2)Ik(x_f)² = (1/2)k•(x_i)²
Making v_f the subject, we have;
v_f = [√(k/m)] * [√((x_i)² - (x_f)²)]
We know that ω = √(k/m)
Thus,
v_f = ω[√((x_i)² - (x_f)²)]
Plugging in the relevant values to obtain;
v_f = 17.8[√((0.068)² - (0.034)²)]
v_f = 17.8[0.059] = 1.05 m/s
