What is the change ΔT in the period of a simple pendulum when the acceleration of gravity g changes by Δg? (Hint: The new period T+ΔT is obtained by substituting g+Δg for g: T+ΔT=2πLg+Δg−−−−√. To obtain an approximate expression, expand the factor (g+Δg)−1/2 using the binomial theorem and keep only the first two terms: (g+Δg)−1/2=g−1/2−12g−3/2Δg+⋯ The other terms contain higher powers of Δg and are very small if Δg is small.) Express your result as the fractional change in period ΔTT in terms of the fractional change Δgg.

The charge on an electron is 1.60218 × 10−19 c and its mass is 9.10939 × 10−31 kg. how strong a magnetic field must be experienced by the electron if its path is a circle of radius 5.5 cm? answer in units of t.

On a horizontal frictionless surface, a small block with mass 0.200 kg has a collision with a block of mass 0.400 kg. immediately after the collision, the 0.200 kg block is moving at 12.0 m/s in the direction 30° north of east and the 0.400 kg block is moving at 11.2 m/s in the direction 53.1° south of east. use coordinates where the +x-axis is east and the +y-axis is north.(a) what is the total kinetic energy of the two blocks after the collision (in ) what is the x-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your ) what is the y-component of the total momentum of the two blocks after the collision? (indicate the direction with the sign of your answer.)

Which type of energy is transferred by convection currents?