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Talja [164]
3 years ago
11

Question 7 Unsaved Brycen can cover half a basketball court (about 14 meters) in 4.0 seconds flat! How fast can he run? Question

7 options:
18 m/s


10 m/s


3.5 m/s


0.28 m/s
Physics
1 answer:
lana66690 [7]3 years ago
7 0

D = distance traveled = 14 m

t = time taken = 4 sec

v = speed of Brycen

the formula that relates speed, time and distance is given as

speed = distance/time

speed of Brycen is given as

v = D/t

inserting the values

v = 14/4

v = 3.5 m/s

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The initial momentum of the system can be expressed as,

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According to conservation of momentum,

p_i=p_f

Plug in the known expressions,

\begin{gathered} m_1u_1+m_2u_2=m_1v_1+m_2v_2 \\ m_2v_2=m_1u_1+m_2u_2-m_1v_1 \\ v_2=\frac{m_1u_1+m_2u_2-m_1v_1}{m_2} \end{gathered}

Initially, the second mass move towards the first mass therefore the initial speed of second mass will be taken as negative and the recoil velocity of first mass is also taken as negative.

Plug in the known values,

\begin{gathered} v_2=\frac{(1.16\text{ kg)(8.64 m/s)+(1.98 kg)(-3.34 m/s)-(1.16 kg)(-2.16 m/s)}}{1.98\text{ kg}} \\ =\frac{10.02\text{ kgm/s-}6.61\text{ kgm/s+}2.51\text{ kgm/s}}{1.98\text{ kg}} \\ =\frac{5.92\text{ kgm/s}}{1.98\text{ kg}} \\ \approx2.99\text{ m/s} \end{gathered}

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Answer:

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Explanation:

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b. So, the total work done is gotten by integrating from 90 to θ. So,

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