110年 - 110台灣聯合大學系統_碩士班招生考試_物理類:普通化學#104540

(a) (5%) if the surface is frictionless and

(b) (3%) if the surface is not frictionless and the block moves a distance d₂ before it stops. (Assume that the kinetic friction force between the surface and the block is the same as that between the bullet and the block.)

(a) (4%) Kepler's second law and

(b) (4%) Kepler's third law for a circular orbit of radius r and period T.

(c) (4%) If the gravitational force between masses M and m were G'Mm/r³, with G' the proportional constant and r the distance between two masses, how would the Kepler's second and third laws be modified?

(a) (4%) What is the torque of the gravitational force on the axis at O at the angleθ shown in the Figure?

(b) (5%) What is the period of the oscillation?

(c) (5%) If the total mass is accumulated at CM, express that period only in terms of I and g (without m and I).

(a) (4%) If the energy added to the gas by heat through path ABC is +188 J, what is the work done on the gas from A to B?

(b) (4%) If the pressure at A is 32 times that of C, what is the energy exchanged with the surroundings by heat as the gas goes along path CDA?

(c) (4%) If 67 J is added to the gas by heat as it goes from D to C, what is the change in internal energy in going from D to A?

(d) (4%) Suppose the molar specific heat at constant volume of the gas is C_v = 3R/2, with the gas constant R. If the dashed path from A to C is an adiabatic process, what is the ratio V_C/V_Dbetween the volume V_c at C and V_Dat D? (Note: are horizontal

lines, while are perpendicular lines.)

(a)(5%) Show that the dimension of S is energy/area/time.

(b)(10%) Prove that the magnitude of the Poynting vector is given by /2 with c the speed of light and co the permittivity of the free space.

(a)(5%) Draw the circuit diagram.

(b)(5%) Calculate the charge stored in each capacitor.

(c)(5%) Calculate the energy stored in each capacitor.

(a)(5%) Write down the differential equation for I(t).

(b)(10%) Calculate the current at t = 10.0 ms for R = 16.0Ω, L = 80.0 mH, and ε = 40.0 V. Note that

八、(5%) What is the radiation pressure?

110年 - 110台灣聯合大學系統_碩士班招生考試_物理類:普通化學#104540

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