<span>Energy can be transformed from one type to another in any convection. Some of the energy is lost to the environment as
HEAT.</span>
Answer:
Explanation:
Given that,
Mass of ball m = 2kg
Ball traveling a radius of r1= 1m.
Speed of ball is Vb = 2m/s
Attached cord pulled down at a speed of Vr = 0.5m/s
Final speed V = 4m/s
Let find the transverse component of the final speed using
V² = Vr²+ Vθ²
4² = 0.5² + Vθ²
Vθ² = 4²—0.5²
Vθ² = 15.75
Vθ =√15.75
Vθ = 3.97 m/s.
Using the conservation of angular momentum,
(HA)1 = (HA)2
Mb • Vb • r1 = Mb • Vθ • r2
Mb cancels out
Vb • r1 = Vθ • r2
2 × 1 = 3.97 × r2
r2 = 2/3.97
r2 = 0.504m
The distance r2 to the hole for the ball to reach a maximum speed of 4m/s is 0.504m
The required time,
Using equation of motion
V = ∆r/t
Then,
t = ∆r/Vr
t = (r1—r2) / Vr
t = (1—0.504) / 0.5
t = 0.496/0.5
t = 0.992 second
The higher the thermal energy the faster the conduction convection and radiation take place as the particles have more kinetic (movement) energy
The magnitudes of his q and ∆H for the copper trial would be lower than the aluminum trial.
The given parameters;
- <em>initial temperature of metals, = </em>
<em /> - <em>initial temperature of water, = </em>
<em> </em> - <em>specific heat capacity of copper, </em>
<em> = 0.385 J/g.K</em> - <em>specific heat capacity of aluminum, </em>
= 0.9 J/g.K - <em>both metals have equal mass = m</em>
The quantity of heat transferred by each metal is calculated as follows;
Q = mcΔt
<em>For</em><em> copper metal</em><em>, the quantity of heat transferred is calculated as</em>;
![Q_p = (m_wc_w + m_pc_p)(T_m - T_i)\\\\Q_p = (T_m - T_i)(m_wc_w ) + (T_m - T_i)(m_pc_p)\\\\Q_p = (T_m - T_i)(m_wc_w ) + 0.385m_p(T_m - T_i)\\\\m_p = m\\\\Q_p = (T_m - T_i)(m_wc_w ) + 0.385m(T_m - T_i)\\\\let \ (T_m - T_i)(m_wc_w ) = Q_i, \ \ \ and \ let \ (T_m- T_i) = \Delta t\\\\Q_p = Q_i + 0.385m\Delta t](https://tex.z-dn.net/?f=Q_p%20%3D%20%28m_wc_w%20%2B%20m_pc_p%29%28T_m%20-%20T_i%29%5C%5C%5C%5CQ_p%20%3D%20%28T_m%20-%20T_i%29%28m_wc_w%20%29%20%2B%20%28T_m%20-%20T_i%29%28m_pc_p%29%5C%5C%5C%5CQ_p%20%3D%20%28T_m%20-%20T_i%29%28m_wc_w%20%29%20%2B%200.385m_p%28T_m%20-%20T_i%29%5C%5C%5C%5Cm_p%20%3D%20m%5C%5C%5C%5CQ_p%20%3D%20%28T_m%20-%20T_i%29%28m_wc_w%20%29%20%2B%200.385m%28T_m%20-%20T_i%29%5C%5C%5C%5Clet%20%5C%20%28T_m%20-%20T_i%29%28m_wc_w%20%29%20%20%3D%20Q_i%2C%20%5C%20%5C%20%5C%20and%20%5C%20let%20%5C%20%28T_m-%20T_i%29%20%3D%20%5CDelta%20t%5C%5C%5C%5CQ_p%20%3D%20Q_i%20%2B%200.385m%5CDelta%20t)
<em>The </em><em>change</em><em> in </em><em>heat </em><em>energy for </em><em>copper metal</em>;
![\Delta H = Q_p - Q_i\\\\\Delta H = (Q_i + 0.385m \Delta t) - Q_i\\\\\Delta H = 0.385 m \Delta t](https://tex.z-dn.net/?f=%5CDelta%20H%20%3D%20Q_p%20-%20Q_i%5C%5C%5C%5C%5CDelta%20H%20%3D%20%28Q_i%20%2B%200.385m%20%5CDelta%20t%29%20-%20Q_i%5C%5C%5C%5C%5CDelta%20H%20%3D%200.385%20m%20%5CDelta%20t)
<em>For </em><em>aluminum metal</em><em>, the quantity of heat transferred is calculated as</em>;
![Q_A = (m_wc_w + m_Ac_A)(T_m - T_i)\\\\Q_A = (T_m -T_i)(m_wc_w) + (T_m -T_i) (m_Ac_A)\\\\let \ (T_m -T_i)(m_wc_w) = Q_i, \ and \ let (T_m - T_i) = \Delta t\\\\Q_A = Q_i \ + \ m_Ac_A\Delta t\\\\m_A = m\\\\Q_A = Q_i \ + \ 0.9m\Delta t](https://tex.z-dn.net/?f=Q_A%20%3D%20%28m_wc_w%20%2B%20m_Ac_A%29%28T_m%20-%20T_i%29%5C%5C%5C%5CQ_A%20%3D%20%28T_m%20-T_i%29%28m_wc_w%29%20%2B%20%28T_m%20-T_i%29%20%28m_Ac_A%29%5C%5C%5C%5Clet%20%5C%20%28T_m%20-T_i%29%28m_wc_w%29%20%20%3D%20Q_i%2C%20%5C%20and%20%5C%20let%20%28T_m%20-%20T_i%29%20%3D%20%5CDelta%20t%5C%5C%5C%5CQ_A%20%3D%20Q_i%20%5C%20%2B%20%5C%20m_Ac_A%5CDelta%20t%5C%5C%5C%5Cm_A%20%3D%20m%5C%5C%5C%5CQ_A%20%3D%20Q_i%20%5C%20%2B%20%5C%200.9m%5CDelta%20t)
<em>The </em><em>change</em><em> in </em><em>heat </em><em>energy for </em><em>aluminum metal </em><em>;</em>
![\Delta H = Q_A - Q_i\\\\\Delta H = (Q_i + 0.9m\Delta t) - Q_i\\\\\Delta H = 0.9m\Delta t](https://tex.z-dn.net/?f=%5CDelta%20H%20%3D%20Q_A%20-%20Q_i%5C%5C%5C%5C%5CDelta%20H%20%3D%20%28Q_i%20%2B%200.9m%5CDelta%20t%29%20-%20Q_i%5C%5C%5C%5C%5CDelta%20H%20%3D%200.9m%5CDelta%20t)
Thus, we can conclude that the magnitudes of his q and ∆H for the copper trial would be lower than the aluminum trial.
Learn more here:brainly.com/question/15345295