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Romashka-Z-Leto [24]
3 years ago
7

A 10 kg boat is moving 3 m/s. Find kinetic energy.

Physics
2 answers:
mr Goodwill [35]3 years ago
7 0
KE = 1/2mv^2
m=10 v=3
KE=1/2*10*3^2
KE= 45 Joules
REY [17]3 years ago
4 0

answer

45J

explanation

kinetic energy can be found through the equation K = \frac{mv^2}{2}

plug in 10 for m (mass) and 3 for v (velocity)

K = \frac{mv^2}{2}\\K = \frac{10*3^2}{2}\\K = \frac{10*9}{2}\\K = \frac{90}{2}\\K = 45 J

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Two manned satellites approach one another at a relative velocity of v=0.190 m/s, intending to dock. The first has a mass of m1=
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Their final relative velocity is 0.190 m/s

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Given that the satellites have elastic collision, we have;

v_2 = \dfrac{2 \cdot m_1}{m_1 + m_2} \cdot u_1 - \dfrac{m_1 - m_2}{m_1 + m_2} \cdot u_2

v_2 = \dfrac{ m_1 - m_2}{m_1 + m_2} \cdot u_1 + \dfrac{2 \cdot m_2}{m_1 + m_2} \cdot u_2

Given that the initial velocities are equal in magnitude, we have;

u₁ = u₂ = v/2

u₁ = u₂ = 0.190 m/s/2 = 0.095 m/s

v₁ and v₂ = The final velocities of the satellites

We get;

v_1 = \dfrac{2 \times 4.0 \times 10^3}{4.0 \times 10^3 + 7.50 \times 10^3} \times 0.095 - \dfrac{4.0 \times 10^3- 7.50\times 10^3}{4.0 \times 10^3+ 7.50\times 10^3} \times 0.095 = 0.095

v_2 = \dfrac{ 4.0 \times 10^3 - 7.50\times 10^3}{4.0 \times 10^3 + 7.50 \times 10^3} \times 0.095 + \dfrac{2 \times 7.50\times 10^3}{4.0 \times 10^3+ 7.50\times 10^3} \times 0.095 = 0.095

The final relative velocity of the satellite, v_f = v₁ + v₂

∴ v_f = 0.095 + 0.095 = 0.190

The final relative velocity of the satellite, v_f = 0.190 m/s

4 0
2 years ago
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