(II) Two bullets are fired at the same time with the samekinetic energy. If one bullet has twice the mass of the other,which has the greater speed and by what factor? Which cando the most work?

A block of mass m is attached to a spring with force constant, k and oscillate at a frequency f. If the mass is changed to m′ = m/2, and the spring force is changed to k’= 2k, then the new frequency f’of the oscillation would be?

(II) Derive a formula for the maximum speed vmax of a simple pendulum bob in terms of g, the length {, and the maximum angle of swing 0max ·

A tire swing hanging from a branch reaches nearly to the ground (Fig. 11–49). How could you estimate the height of the branch using only a stopwatch? FIGURE 11-49 Question 5.

First Question is, Isnt the Formula for KE = 1/2 mV^2 and not 1/2KX^2, and if you are correct could you explain why we had to use that formula (Im assuming because we dont have velocity)

(4) Due to the shape of the earth - in fact, it is not a perfect sphere - the acceleration due to gravity increases when latitude increases. If the pendulum is taken from the equator (latitude = 0°) to the North or South Pole (latitude = 90°), describe the changes that would take place with respect to the period of the pendulum and the accuracy of the clock (i.e., would the clock run too fast or too slow) and why.

Please help with this question!

A pendulum of mass 50 gm and length 90 cm is left to swing from an intial angle of 30 degrees, and seen to raise up to an angle of 28 degrees when it reaches the otherside. How much will it be in the difference in height? How much energy is lost?

The total energy of earth at perihelion