Kinetic energy KE (Chapter 5) has dimensions kg·m2/s2. It can be written in terms of the momentum p (Chapter 6) and mass m as
Determine the proper units for momentum using dimensional analysis. (Use the following as necessary: m, kg, and s.)
KE = p^2 / 2m ;
kg *( m /s )^2 = ( kg^p m^qs^r) ^2 / [ kg ] ;
kg ^2 m^2 s^-2 =( kg^p m^qs^r) ^2
so( kg^p m^qs^r) =kgm s^-1
so that p =1 , q =1 , r =-1 ,
so the dimenaions of p are ,
kg m /s<----------ans
kg m s^-1<------ans
Kinetic energy K (Chapter 5) has dmensons kg-m2/s2. It can be written in terms of the momentum ρ (Chapter 6) and mass m as 2m (a) Determine the proper units for momentum using dimensional analyis. (Use the following as necessary: ko. m. and s) (b) The unit of force is the newton N, where 1 N·1 kg·m/W, what are the units of momentum p in terms o. rewton and another 'undamentaist unn (use the ble-ng- necessary: N, m, ands
-14 points SeiPsETo J0 The dimensions of the quantity kinetic energy, designated by K, are kg m2/s2. It can be written in terms of the momentum p and mass m as K =-. 2m (a) What are the units of momentum in terms of fundamental SI units? (Use the following as necessary: kg, m, and s.) (b) Force is meas sured in units of newtons, N, where 1 N 1 kg m/s2. What are the units of momentum p in...
The dimensions of the quantity kinetic energy, designated by K, are kg. m/s. It can be written in terms of the momentum p and mass mask (a) What are the units of momentum in terms of fundamental Sunits? (Use the following as necessary: ks. m, and s.) (b) Force is measured in units of newtons, N, where I N - 1 kg. m/s. What are the units of momentum p in terms of a newton and another fundamental St unit?...
K=p² The dimensions of the quantity kinetic energy, designated by K, are kg. m2/s2. It can be written in terms of the momentum p and mass m as che non (a) What are the units of momentum in terms of fundamental SI units? (Use the following as necessary: kg, m, and s.) [p] = (b) Force is measured in units of newtons, N, where 1 N = 1 kg m/s? What are the units of momentum p in terms of...
Determine the equation of the momentum of a particle of mass m and kinetic energy KE. Express your answer in terms of the variables KE, m and c. (KE/c) +mc is incorrect p=
Determine the equation of the momentum of a particle of mass m and kinetic energy KE. Express your answer in terms of the variables KE, m and c.
Convert 23.9 kL to milliliters using dimensional analysis, include proper units in both the calculation and the answer.
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Problem l Using dimensional analysis, construct a constant, with units of length only, out of all three of the following fundamental constants of Nature: h, G, and c. Here, h is Planck's constant, which has dimensions of [M] [L]2[7]-1, G s Newton's gravitational constant, which has dimensions of M][L] [T]-2, and c is the speed of light, with dimensions [L][7]1