Given the following graph, calculate the slope and uncertainty in the slope. Period vs length T (s) 2 20cm (10.35cm, 20.65cm) 1.50cm x100 0.60cm (21.80cm, 3.55cm) 0.90cm 1. 7. I (cm) x100
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Q: calculate the slope and uncertainty in the slope.
A: By using simple formula of slope,1st we calculate slope.then find uncertainty of slope.
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- A rectangle has a length of (5.1 ± 0.2) m and a width of (2.3 ± 0.1) m. Calculate: (a) the area and (b) the perimeter of the rectangle, Give the uncertainty in each value.Suppose a machine is invented to measure the amount of knowledge in a student’s head in units called “factoids.” One student is measured at F(t) = t³ − 6t² + 9t factoids at time t, where t is measured in weeks. a. Find the rate at which the student is gaining (or losing) knowledge as a function of time (be sure to give the units). b. During what time between t = 0 and 11 is the student losing knowledge? c. Sketch a graph of the function F(t).A rectangle has a length of (2.8 ± 0.2) m and a width of (1.7 ± 0.2) m. Calculate the area and the perimeter of the rectangle, and give the uncertainty in each value. (a) Calculate the area and give its uncertainty. (Enter your answers in m2.) m2 ± m2 (b) Calculate the perimeter of the rectangle and give its uncertainty. (Enter your answers in m.) m ± m
- Which of the following calculations have the correct number of significant figures in the final result? 2.2 ст + 2.00 ст — 4.20 ст O 12.34 g 3.94 cm³ 3.132 cm3 V 2.0 cm - 1 cm = 1 cm V 11.32 cm x 6.31 cm x 6.762 cm = 4.83 × 10² cm³ V 10.32 cm × 6.31 cm × 6.762 cm = 4.40 × 10² cm³ V 1.0 x 10'g 0.27 cm 37 cmwhat is 185 cm in feet? 1=12 inAfter conducting the signal speed experiment a student has recorded the following data. L₂ (m) 1.5 3 4.5 8 15 30 dt (ns) 6.50 13.72 21.02 38.10 72.20 145.42 L2 is the length of the longer cable in meters and dt is the measured time delay in nanoseconds. The student neglected to record L₁, the length of the shorter cable. After speaking with their instructor, they learn all is not lost. They know the speed of the signal can be calculated based on the distance traveled divided by the time. However, the recorded times measure how much longer the signal had to travel in L2 compared to L₁. A little bit of thought convinces them (correctly) that
- Consider the physical quantities s, v, a, m, and t with dimensions [s] = L, [v] = LT-¹, [a] = LT-2, [m] = M, and [t] = T. Select the dimensionally consistent equation(s). U √2as = v S = vtm + a = U S = at at² mP is pressure, x distance and v velocity. What are the units of k so that the equation v = K dP/dx is dimensionally correct? (A) m/s (B) m^3s / kg (C) kg / (m s^3) D) k has no unitsA rectangle has a length of (2.9 ± 0.2) m and a width of (1.6 ± 0.2) m. Calculate the area and the perimeter of the rectangle, and give the uncertainty in each value. HINT (a) Calculate the area and give its uncertainty. (Enter your answers in m².) 4.0✓ m² + m² (b) Calculate the perimeter of the rectangle and give its uncertainty. (Enter your answers in m.) mt 4.0 m
- A hopskip is a (fictional) unit of length equal to 1.5 meters (1 hs = 1.5 m). The volume of the Earth’s oceans is estimated to be ~ 1.3X 10^24cm . Use dimensional analysis to express the volume of the Earth’s oceans in hs^3.Show calculations of the volume , density ,and %error in the space below. Block density =2.7ER, d. = ER, d. Where: ER1 = 30mR/hr || ER2 5mR/hr d1 3 inches d2 0. inches ||