In the expression m has dimensions of mass and k has dimensions of mass divided by...
A mass m = 1.1 kg hangs at the end of a vertical spring whose top end is fixed to the ceiling. The spring has spring constant k = 75 N/m and negligible mass. At time t = 0 the mass is released from rest at a distance d = 0.35 m below its equilibrium height and undergoes simple harmonic motion with its position given as a function of time by y(t) = A cos(wt - φ). The positive y-axis...
a) Linearize the following equation where T and m (not me) are the variables: b) What are the slope and intercept of your new equation? c) Check that your new equation is dimensionally correct (m is a mass, me is a mass, T is time and k has dimensions force divided by length.
Use dimension m→[M] x→[L] for the variables in the following questions) 1. If a variable K has dimensions 17] v→ a→ MIUY, what should be dimension of k in the equation K - Amv 2. What should be the dimensions of C, and C2 in the expression v Ce? 3. What should be the dimensions of , Aand A, in the expression r AA, sin (o)? 4. The distance d that a particle moves may be calculated from the expression...
A mass m = 2.77 kg is attached to a spring of force constant k = 44.9 N/m and set into oscillation on a horizontal frictionless surface by stretching it an amount A = 0.11 m from its equilibrium position and then releasing it. The figure below shows the oscillating mass and the particle on the associated reference circle at some time after its release. The reference circle has a radius A, and the particle traveling on the reference circle...
Consider a relativistic particle of mass M and kinetic energy K. derive an expression for the particle's speed U in terms of K and M. show steps please
1: Use dimensional analysis to derive the expression for the time period of oscillations of a simple pendulum that depends on its length and accelaration due to gravity. You can use the known dimensions of mass, length, time and accelaration due to gravity: [M], [L], [T] and [L]T-2], and dimensional constant, k = 27.
1. If K has dimensions ML/T2, the a in K- amv2 must A. have the dimensions ML/T2 B. have the dimensions M C. have the dimensions L/T2 D. have the dimensions L2/T2. E. be dimensionless. 2. The prefix "milli" means A. 10-12 B. 10-6 10-3. D. 10-2. Lebron James' height is 6'8" (1'-0.3048 m, 1" 0.0254 m). Tallest player to ever play in NBA was Gheorghe Muresan, who is 231 cm tall. Determine the 3. absolute difference between players height.o...
find the dimensions of the quantities a, b and c in the equation e dimensions of the quantities a, band cin the Find the equation for the distance x as a function of time t. what type of quantity is the product abc? x = at + bcos(c't) A. Acceleration B. Pressure gradient C. Speed squared D. Energy rate E. Flow rate F. Time cubed
A particle of mass m has a velocity of vlvyI+ vzk.It's kinetic energy is given by the expression /2. m(v O m(vij v?k)/2. neither of these
An apartment has the dimensions 18 m by 9 m by 6 m. The temperature is 25°C, and the relative humidity is 52 percent. What is the total mass (in kg) of water vapor in the air in the apartment? _____kg