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- Roughly how many times longer than the mean life of an extremely unstable atomic nucleus is the lifetime of a human?Roughly how many heartbeats are there in a lifetime?When a electrical appliances whose power usage is X watts is run for Y seconds it uses X×Y joules of energy. The energy unit used by electrical utilities in their monthly bills is the kilowatt-hour (kwh, that is, 1 kilowatts used for 1 hour) how many joules are there in a kilowatt hour? If electricity cost per $0.09 per kilowatt hour, how much does it cost per megajoule?
- If g(v) is the fuel efficiency, in miles per gallon, of a car going at v miles per hour, what are the units of g′(90)? What is the practical meaning of g′(55)=−0.54?Earth has a mass of 5.98*1024 kg.The average mass of the atoms that make up Earth is 40 u. How many atoms are there in Earth?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…
- The kinetic energy varies directly as the square of the momentum (?) and inversely as the mass (?). If the momentum is 14 kilograms ⋅ meters per second and the mass is 2 kilograms, then the kinetic energy is 49 joules. Express the kinetic energy as a function of momentum and mass.1) The units for energy are kgm^2/s^2. What units must the constant A have in the following equation,assuming E stands for energy, M for mass, L for length, and T for time? E=AL^2 M^2 T^-3 a) s/kg b) s^2/kg c) s/kg^2 d) s/m times kg e) s times m/s^2What's mu? If p has a unit of [kg/m³), v has a unit of [m/s], D has a unit of [m], and Ris unitless, what is the unit of u in the equation R = vDp/µ? O [s/kg] O [kg/(m• s)] O [kg/s] O [(m• s)/kg]
- As part of an important engineering project for NASA, you've been asked to do some unit conversions. Assume 1 Kz = 3.14159 Ek (note: Kz and Ek are fictional units). Given this information, 4.53 Kz3 = _______ Ek3. Note that each of these fictional units is cubed. 4.53 14.23 31.01 140.46 292.04 Not enough informationThe kinetic energy K of an object of mass m moving with speed v is given by the formula K = mv2. The SI unit of kinetic energy is the joule, J. Use this formula to express the joule in terms of the fundamental SI quantities of mass, length, and time.How to convert 2500 watts to w/h under these conditions. The 2500 watts were the measured average of 20 hours at an interval of 216 seconds.