Suppose that a person has an average heart rate of 98.4 beats/min. (Express your answers to problems in this section to the correct number of significant figures and proper units.) (a) How many beats does he or she have in 4.0 y? (b) How many beats does he or she have in 4.00 y? (9) How many beats does he or she have in 4.000 y?
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- Suppose that a person has an average heart rate of 91.0 beats/min. (Express your answers to problems in this section to the correct number of significant figures and proper units.) How many beats does he or she have in 6.0 y? How many beats does he or she have in 6.00 y? How many beats does he or she have in 6.000 y?Physical units in mechanics are usually some combination of the dimensions time T, mass M, and length L. Consider the physical quantities m, r, u, a, and t with dimensions [m] = M, [r] = L, [u] = LT-, [a] = LT-2, and [1] = T. Enter the dimensional expression of the quantity on the right-hand side of each equation. Your answers may contain only M, L, T, and exponents. Assume that each of the following equations is dimensionally consistent. Lo = mur [Lo] = W = mar [W] = TAll problems will use the conventional Cartesian coordinate system unless noted otherwise. Positive x-axis points to the right, Positive y-axis points up, Angles are measured CCW (counter-clock-wise) from the positive x-axis. When a numerical input is necessary: Enter your answer to 4 significant figures. Use a leading zero for numbers between -1 & 1. Do NOT use Scientific Notation. Angles must be reported with a minimum of 2 decimal places. Report directions as positive angles. For instance, 350 degrees, not -10 degrees. Use the "standard" coordinate system unless noted otherwise. Regarding the magnitude of an angle between two objects that could be reported with more than one value, submit the smaller value. Magnitude shall always be reported as a positive number. Value shall be reported either as a positive or negative number based upon the application. When reporting a value, include the sign. Problem-DD: Consider FIG-DD in the appendix. Note: For Blocks “A”…
- 1.2 Let us assume that we are to determine the volume of a spherical ball bearing. After of the radius is found to be (9.53± 0.05) mm. (a) What is the volume of then ball bearing? (V="r*) (b) What is the error in volume? (c) How many significant figures should this volume (value) have? (d) Write down the volume in more appropriate unitsFor each of the following scenarios, refer to Figure 1.4 and Table 1.2 to determine which metric prefix on the meter is most appropriate for each of the following scenarios. (a) You want to tabulate the mean distance from the Sun for each planet in the solar system. (b) You want to compare the sizes of some common viruses to design a mechanical filter capable of blocking the pathogenic ones. (c) You want to list the diameters of all the elements on the periodic table. (d) You want to list the distances to all the stars that have now received any radio broadcasts sent from Earth 10 years ago.Carry out the following arithmetic operations. (Enter your answers to the correct number of significant figures.) the sum of the measured values 533, 37.0, 0.80, and 9.0 the product 0.0053 ✕ 455.1 the product 18.50 ✕ ?
- One mole of atoms consists of 6.02 × 1023 individual atoms. If one mole of unicorn atoms were spread uniformly over the surface of a sphere the size of the Earth, approximately how many atoms would be found per square meter? The average radius of the Earth is 6.38 × 103 km. how do I set up this unit conversion?Kinetic energy K (Chapter 5) has dimensions kg · m2/s2. It can be written in terms of the momentum p (Chapter 6) and mass m as K= p 2m (a) Determine the proper units for momentum using dimensional analysis. (Use the following as necessary: kg, m, and s.) [p] = (b) The unit of force is the newton N, where 1 N = 1 kg • m/s?. What are the units of momentum p in terms of a newton and another fundamental SI unit? (Use the following as necessary: N, m, and s.) [p] =So we take a pile of paper, we count the number of sheets, and obtain 226. Then, we measure how tall the pile is with a ruler: 24.0 mm. As discussed in section 1, we could have a long argument about how much exactly should the uncertainty of this measurement be. Let’s settle to ± 0.5 mm
- Problem 12: In this problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities V, ρ, and t with dimensions [V] = L3, [ρ] = ML-3, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [V] represents the dimensions of the quantity V.) Part (a) What are the dimensions of ∫ρdV? dimensions = ______ Part (b) What are the dimensions of dV/dt? dimensions = ______ Part (c) What are the dimensions of ρ(dV/dt)? dimensions = ______In this problem, the symbols M, L, and T represent the dimensions mass, length, and time, respectively. Consider the physical quantities V, ρ, and t with dimensions [V] = L3, [ρ] = ML-3, and [t] = T. (Here, the square bracket means “the dimensions of” so, for example, [V] represents the dimensions of the quantity V.)What are the dimensions of ∫ρdV? What are the dimensions of dV/dt? What are the dimensions of ρ(dV/dt)?The SARS-CoV-2 (COVID-19) virus can be described as approximately spherical having a diameter of about 120 nm. If the density is about the same as water, 1 000 kg/m*, determine the mass of one COVID-19 virus. Express your answer in picograms. Clearly show your calculations and unit conversions using the chain method.