Compiled by Rozie @ SMAN 3 smg MEASUREMENT AND QUANTITIES PROBLEMS GRADE X 1. Find the dimension of following quantities!: a. Force (F) ; F = m . a with m= mass, a= acceleration b. Frekuensi (f); with v= velocity, λ= wave lengt c. Charge (q) ; q = I . t with I= electric current, t= time d. Potential energy (Ep); Ep= m . g . h with m= mass, g= gravity acceleration and h= high e. Specific heat (c); Q= m . c . ΔT with m= mass, Q= energy, ΔT= perubahan suhu f. Constant (k); with F= force, q 1 with q 2 = charge, r= distance g. Constant of general gravity (G); , g= percepatan gravitasi, m= massa, r= jarak h. Dimensi konstanta (k); T = k , g= percepatan gravitasi, l= panjang tali, T= periode i. Dimensi konstanta (ε o ); E = , E= medan listrik (N/C), A= luas, d= jarak 2. Using analitical of dimension, answer the following question! a. Proof that equaqtion is true!: F = P . A with F = Force, A= Cross- section Area and P= Pressure b. Proof that equaqtion is true!: s = v o t + ½ at, with s= displacement, v o = initial velocity, a= acceleration and t= time c. x = at 3 + bt 2 + ct, if x= distance and t= time, Find dimension of a, b, and c d. v = at 2 + bt + 2c, if v= velocity and t= time, find the dimension of a.b.c e. EK = a + bx 2 + ct 3 , if EK= kinetic energy, m=mass, x=distance and t= time, find the dimension of 3. How much the significant number in the following number?: a. 2,04 b. 2006 c. 0,002 d. 2,4030 e. 0,0520 f. 1,3 x 10 3 g. 0,3 x 10 -4 h. 2,30 x 10 3 i. 2,345 60 4. Calculate using the rules of significant number a. 2,345 + 0,23 b. 0,306 + 3,5 c. 273 + 24 d. 6,48 – 3,0 e. 0,348 – 0,23 f. 2,0 x 2,42 x 1,250 g. 1,5 . 10 3 x 2,58 . 10 2 h. 0,4 x 2,5 x 6,428 i. 1,25 x 25 j. 4,246 : 2,0 k. 6,28 : 3,14 : 4,0 l. m. n. o. (2,2) 2 p. (2,45) 2 5. Dari hasil pengukuran waktu lari cepat seorang atlit dengan menggunakan stopwatch dituliskan dengan (10,8 ± 0,05) detik. a. Jelaskan pengertian penulisan tersebut b. Berapa nst stopwatch yang digunakan c. Tulis hasil pengukuran tersebut dengan ketidakpastian relatif