A lumberjack is standing on a log floating on a lake. She starts from rest, then runs along the log to the end, when she jumps from the first log onto a second. After landing safely on the second log, she slows down and ends up standing on the second log. Both logs both have masses of 150 kg each and the mass of the lumberjack is 70 kg. The lumberjack reaches a speed of 7.0 m/s relative ko the shore during her jump. What is the speed of the lumberjack after she has stopped on the second log? You may assume the drag of the water on the logs is very small. Please answer in units of m/s.

A toy rocket operates by having a spring-loaded tube which ejects a small model rocket when released. The spring inside has a spring constant k = 625N/m, the rocket has a mass of 0.100 kg, and the maximum compression of the spring is 0.18 m.  Consider the system of the rocket, spring, and the earth. Consider the interval of time between t1, when the rocket is released from the point of maximum spring compression, and t2, the moment when the spring is fully released and the rocket leaves the launcher. List below the types of energy that are changing during this interval and whether the changes are positive or negative. Please explain how you know.

Two spring-loaded carts are at rest on a low-friction track. The spring is released, pushing the carts away from each other. Positive to the right and negative to the left. The bricks on top of the carts have the same mass as the cart. The blue cart has a speed of 1m/s after the spring is released. Calculate the velocity of the red car after the explosion Before Explosion After Explosion + 5 m/s - 5 m/s +3 m/s O - 3 m/s O +1.5 m/sec O - 1.5 m/sec

ФЫ В А ПРО В А ПРО ЛДЗАПРОЛДЖЭ ЯЧСМИТНЧСМИТЬБНСМИТЬБЮ SOLVE STEP BY STEP IN DIGITAL FORMAT 32.- A bowling ball of mass 7Kg collides head-on with a pin of 2.00Kg. The pine tree falls forward with a speed of 3.00 m/s. If the ball continues forward with a speed of 1.8m/s, what was the initial speed of the ball? Ignore the rotation of the ball. 33.- Two particles collide head-on in a perfectly inelastic manner as illustrated in the figure. Suppose that m_1=0.5 kg and m_2=0.25 kg and v_1=4 (m/s) and v_2=-3 (m/s); a) find the velocity of the composite particle after the collision; b) How much kinetic energy is lost in the collision? ИЦУКЕНГШУКЕНТ ШЩЗЕНІ Шщ3xb