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- The radius of a circle is measured to be (10.5 0.2) m. Calculate (a) the area and (b) the circumference of the circle, and give the uncertainty in each value.One mole of atoms consist of 6.02 × 10^23 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 × 10^3 km.An atom of rhodium (Rh) has a diameter of about2.7 * 10-8 cm. (a) What is the radius of a rhodium atom inangstroms 1A° 2 and in meters (m)? (b) How many Rh atomswould have to be placed side by side to span a distance of6.0 mm? (c) If you assume that the Rh atom is a sphere, whatis the volume in m3 of a single atom?
- Question Details SerEssen1 1.P.027. [35052 Estimate the number of 1.8 cm radius Ping-Pong balls that would fit into a 10 ft by 11 ft room with a ceiling 8 ft high (without being crushed). ballsOne mole of atoms consists of 6.02 x 1023individual atoms.If a mole of atoms were spread uniformly over the Earth’ssurface, how many atoms would there be per square meter?y1 = sin(pi(x) - 2(pi)(t))......y2 = sin(pi(x)/2 + 2(pi)(t))
- Physics A distance R is measured to be 5.400±0.003m. What is the absolute uncertainty in R^-2?Growth of yeast cells In a controlled laboratory experiment, yeast cells are grown in an automated cell culture system that counts the number P of cells present at hourly intervals. The num- ber after t hours is shown in the accompanying figure. 250 200 150 100 50 0 1 2 3 4 5 6 7 a. Explain what is meant by the derivative P'(5). What are its units? b. Which is larger, P'(2) or P'(3)? Give a reason for your answer. c. The quadratic curve capturing the trend of the data points (see Section 1.4) is given by P(t) = 6.10r2 – 9.28t + 16.43. Find the instantaneous rate of growth when t = 5 hours.A typical atom has a diameter of about 1.0 * 10-10m. Calculate the approximate number of atoms that can fit along a 1.0 cm line
- 1.) A 232 mL cup of whole milk contains about 27 mg of cholesterol. Express the cholesterol concentration of the milk in kilograms per cubic meter (kg/m^3). 2.) A typical person has an average heart rate of 69.0 beats/min. Calculate the given questions. How many beats does she have in 7.0 years? How many beats in 7.00 years? And finally, how many beats in 7.000 years? Pay close attention to significant figures in this question.w = FjAc = F .Aë , W = m(v;)* - m(u,)* , v 1 zm(us)* - m(v,)* , W = Problem 1: (a) à = 3â – 2ŷ, B = 4â& – 5ŷ. à ·B =? Answer: 22 (b) à = -2â + 4ŷ, B = 3âu – lŷ. Ā·B =? Answer: –10 (c) à = 5â – 3ŷ, B = -3â – 5ŷ. ÷B =? Answer: 0 1 | F,dx , W = F. dř , F, dU W = -AU dx d = 4m F = 20 N 0 = 30° m = 4 kg Hk = 0.5) m = 2 kg F = 40 N Hk = 0.2 Ө — 30° Problem 2: In the figure above on the left we have a force F = 20 N pulling a box to the right at an angle 0 = 30° above the horizontal. The box has a mass m = 2 kg, the coefficient of kinetic firction between the box and the ground is uk = 0.2, and the block moves a distance d = 4 m to the right. (a) What is the work done by the force F? Answer: 69.3 J (b) What is the normal force from the ground? Use g = 10 m/sec² Answer: 10 N (c) What is the work done by the kinetic friction force? Answer: -8 J (d) What is Wnet, the net work done on the box? Answer: 61.3 J (e) The box has an initial speed of 4 m/sec. What is the speed of the box after it has…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.