A water-skier with a mass of 68 kg is pulled with a constant force of 720 N by a speedboat. A wave launches him in such a way that he is temporarily airborne while still being pulled by the boat, as shown in the image below. Assuming that air resistance can be ignored, what is the vertical acceleration that the water-skier experjences on his return to the water surface? (Recall that g= 9.8 m/s2.)

A block of mass 8 kg moves in a straight line On a friction horizontal surface (u = 0.35), its initial velocity is 5.5 m/s. Find its velocity after it has travelled 3.5 m. (Take g = 10 m/s2, write the answer with 2 decimal places only). Answer:

Congratulations! You've been invited to participate in the University of Miami Gator Game. To win your prize of a $10 Starbucks gift card, you must cross Lake Osceola in 1 of 3 boats, all personally built by Sebastian the Ibis. However, only 1 of them is strong enough to withstand an attack from an alligator, which the lake is now full of. They all look exactly the same, so you choose 1st boat. Sebastian says "It's a good thing you didn't pick the 3rd boart" and shoves it into the middle of the lake where it is bitten in half by an alligator.  Before you climb into your boat, Sebastian offers you the choice of switching to the 2nd boat. What is the probability that you are eaten by alligators if you switch to the 2nd boat?

Two blocks of masses m, = 4.0 kg and mg = 8.0 kg are connected with a string that passes over a very light pulley (Figure 1). Friction in the pulley can be ignored. Block 1 is resting on a rough table and block 2 is hanging over the edge. The coefficient of friction between the block 1 and the table is 0.70 (assume static and kinetic friction have the same value). Block 1 is also connected to a spring with a constant 300 N/m. In the initial state, the spring is relaxed as a person is holding block 2, but the string is still taut. When block 2 is released, it moves down for a distanced until it stops (the final state). Figure 1 of 1

An elevator of mass 300 kg is caused to accelerate upward at 2.5 m/s2 by a force in the cable that supports it. What is the force exerted by the cable (in N) ?

Air track: two objects tied together by a string. The figure shows a glider with mass my that moves on a level, frictionless air track in a physics lab. It is connected by a string passing over a small frictionless pulley to a hanging weight with total mass m₂. The string is light and flexible, and it doesn't stretch. (a) Find the acceleration of each object and the tension in the string. (b) What happens to the acceleration when m, is two times heavier than that of m₂? (c) Now my is four times heavier than that of m₂. Calculate the distance between it traveled during the initial period of two (2) seconds after the glider started moving. The tract is long enough for the travel. Show your work that leads to your answer. Explain each step in your work to explanation -quation WILIT T

The diagram below represents a system consisting of two masses: mi=14 kg and m2=40kg, one of them on an incline and the other one hanging. The pulley is massless and frictionless and the cords joining the masses are ideal. The angle of the incline is 0=35°. The coefficient of kinematic friction is Hk=0.22 and we know the system starts to move from rest. a) Find the system's velocity (magnitude and direction) after moving 25 m along the incline. Solve the problem using the energy approach. m2 b) A cannon on top of a 100 meter tall cliff fires a projectile at 70 m/s at an angle of 25 degrees above the horizon. What is the range of the projectile?