Speed =distance/time
3.25=3.00/time
3.25xt=3.00
t=3/3.25
s=0.9s
Answer:
(a) 7.92 A
(b) 0.133 Nm
Explanation:
N = 216
r = 2.32 cm = 0.0232 m
(a) M = 2.89 Am^2
M = N i A
Where, A be the area of the coil and i be the current in the coil
2.89 = 216 x i x 3.14 x 0.0232 x 0.0232
i = 7.92 A
(b) B = 46 mT = 0.046 T
Torque, τ = M B Sin 90
τ = 2.89 x 0.046 x 1 = 0.133 Nm
the planet neptune
The dwarf planet pluto.
The question literally has the words dwarf planet in it. Pluto is the only dwarf in the solar system. All you had to do was look up which planet is in front of Pluto.
B) <span>Beaker, funnel, filter paper, stirring rod, iron ring, and stand</span>
Answer:
![a. m_i_c_e=54.6g\\b. m_i_c_e=48.7g\\m_c_o_l_d_w_a_t_e_r=900g](https://tex.z-dn.net/?f=a.%20m_i_c_e%3D54.6g%5C%5Cb.%20m_i_c_e%3D48.7g%5C%5Cm_c_o_l_d_w_a_t_e_r%3D900g)
Explanation:
First we need to state our assumptions:
Thermal properties of ice and water are constant, heat transfer to the glass is negligible, Heat of ice ![h_i_f=333.7KJkg](https://tex.z-dn.net/?f=h_i_f%3D333.7KJkg)
Mass of water,
.
Energy balance for the ice-water system is defined as
![E_i_n-E_o_u_t=\bigtriangleup E_s_y_s\\0=\bigtriangleup U=\bigtriangleup U_i_c_e+\bigtriangleup U_w](https://tex.z-dn.net/?f=E_i_n-E_o_u_t%3D%5Cbigtriangleup%20E_s_y_s%5C%5C0%3D%5Cbigtriangleup%20U%3D%5Cbigtriangleup%20U_i_c_e%2B%5Cbigtriangleup%20U_w)
a.The mass of ice at
is defined as:
![[mc(0-T_1)+mh_i_f+mc(T_2-0)]_i_c_e+[mc(T_2-T_1)]_w=0\\\\m_i_c_e[0+333.7+418\times(5-0)]+0.3\times4.18\times(5-20)=0\\m_i_c_e=0.0546Kg=54.6g](https://tex.z-dn.net/?f=%5Bmc%280-T_1%29%2Bmh_i_f%2Bmc%28T_2-0%29%5D_i_c_e%2B%5Bmc%28T_2-T_1%29%5D_w%3D0%5C%5C%5C%5Cm_i_c_e%5B0%2B333.7%2B418%5Ctimes%285-0%29%5D%2B0.3%5Ctimes4.18%5Ctimes%285-20%29%3D0%5C%5Cm_i_c_e%3D0.0546Kg%3D54.6g)
b.Mass of ice at
is defined as:
![[mc(0-T_1)+mh_i_f+mc(T_2-0)]_i_c_e+[mc(T_2-T_1)]_w=0\\\\m_i_c_e[2.11\times(0-(20))+333.7+4.18\times(5-0)]+0.3\times4.18\times(5-20)=0\\\\m_i_c_e=0.0487Kg=48.7g](https://tex.z-dn.net/?f=%5Bmc%280-T_1%29%2Bmh_i_f%2Bmc%28T_2-0%29%5D_i_c_e%2B%5Bmc%28T_2-T_1%29%5D_w%3D0%5C%5C%5C%5Cm_i_c_e%5B2.11%5Ctimes%280-%2820%29%29%2B333.7%2B4.18%5Ctimes%285-0%29%5D%2B0.3%5Ctimes4.18%5Ctimes%285-20%29%3D0%5C%5C%5C%5Cm_i_c_e%3D0.0487Kg%3D48.7g)
c.Mass of cooled water at ![T_c_w=0\textdegree C](https://tex.z-dn.net/?f=T_c_w%3D0%5Ctextdegree%20C)
![\bigtriangleup U_c_w+\bigtriangleup U_w=0](https://tex.z-dn.net/?f=%5Cbigtriangleup%20U_c_w%2B%5Cbigtriangleup%20U_w%3D0)
![[mc(T_2-T_1)]_c_w+[mc(T_2-T_1)]_w=0\\m_c_w\times4.18\times(5-0)+0.3\times4.18\times(5-20)\\m_c_w=0.9kg=900g](https://tex.z-dn.net/?f=%5Bmc%28T_2-T_1%29%5D_c_w%2B%5Bmc%28T_2-T_1%29%5D_w%3D0%5C%5Cm_c_w%5Ctimes4.18%5Ctimes%285-0%29%2B0.3%5Ctimes4.18%5Ctimes%285-20%29%5C%5Cm_c_w%3D0.9kg%3D900g)