Aparticle starts from the origin at t = 0 with an initial velocity having an x component of 29.8 m/s and a y component of −18 m/s. the particle moves in the xy plane with an x component of acceleration only, given by 5.21 m/s 2 . determine the x component of velocity after 7.22 s. answer in units of m/s.

An engine undergoes a cycle as shown in the diagram. during a complete cycle the work done by the gas is 28.5×103 j and the energy transferred thermally out is 99.4×103 j. there are 1.5×1024 gas molecules and they have three active degrees of freedom. 6. (6 pts) during which process(es) is energy transferred thermally into the gas? a. 1→2 b. 2→3 c. 4→1 d. 1→2 and 4→1 e. none of the above

The voltage applied across a given parallel-plate capacitor is doubled. how is the energy stored in the capacitor affected?

Asynthetic fiber used in manufacturing carpet has tensile strength that is normally distributed with mean 75.5 psi and standard deviation 3.5 psi. how is the standard deviation of the sample mean changed when the sample size is increased from n equals 8 to n equals 47