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A 12 kg crate slides down a slope as shown in the figure above. The crate starts at rest at the top of the slope and by the time it reaches the bottom it is traveling at a speed of 5.1 m s−1.
What is the magnitude of the frictional force f acting on the crate as it slides down the slope? (in N to 2 s.f)
A closely wound 0.20m x 0.20m square coil of 100 turns is exposed to an external magnetic field of 0.74T that is perpendicular to the plane of the coil. The coil is then rotated for 10s until it makes 60 ̊ with the magnetic field. Find the average induced electromotive force during the 10s interval.
For the wavefunction Ψ(x,0)= 1/√a for –a ≤ x ≤ a, find the momentum space wavefunction φ(k) A particle of mass m is trapped in a one dimensional box of width a. The wavefunction is known to be: Ψ(x) = (i/2)(√(2/a))Sin(πx/a) + (√(1/a))Sin(3πx/a) -1/2(√(2/a))Sin(4πx/a)
(a) If the energy is measured, what are the possible results and what is the probability of obtaining each result.
For a given wave function
Ψ(x, t) =
Find the normalization constant A. Calculate the expectation values< x > and< x2>
The atmosphere of Venus is 96.5% CO2 and 3.5% N2 by weight. The pressure at the surface is 92 bar (1 bar = 101,325 Pa). The density of Venus’ atmosphere is 65 Kg/m3 at the surface. The gas constant for CO2 is 188.92 J/kg-K and for N2 is 296.80 J/kg-K. Assume all of these values have relative uncertainties of +/- 1%. The ideal gas law can be written asP (Pa) /ρ (kg/m3) = R (J/kg-K) T (K)Give all your answers in terms of X +/- Y where X is the expected value and Y is the absolute uncertainty of X.a. What is the average gas constant for Venus’ atmosphere?b. What is the predicted surface temperature of Venus by the ideal gas law?c. Research the actual measured surface temperature of Venus. How well does the ideal gas law predict the surface temperature of Venus?
A charge is placed in a uniform electric field of 9.8 newtons per coulomb. Calculate the magnitude of the electric force felt by the 9.7 -coulomb charge.
You are on a merry go round with radius 6.1 m. What is the centripetal force on you if your velocity is 2.7 m/s and you weigh 7.5 kilograms?
A ball is tossed straight up at 24m/s. Estimate its velocity at 1s interval, and when will it reach its original starting poin
Two particles A and B are released from rest, having equal charges of -8x10^-6 C and initially separated from each other by 0.025 m. The masses of particle A and B are 6.25x10^-6 kg and 3.75x10^-6 kg respectively. Find the magnitude and initial accelerations of particle A and B.
.A diver is poised to jump from a diving board 3 meters long. (a) If he has a mass of 60 kg
and stands on his toes at the edge of the board, what torque is produced by his weight on the board? (b) Where on the board would he have to stand in order to produce a torque of 900 Nm?
