Each of the following sentences is a simple sentence. Add a…

Each of the following sentences is a simple sentence. Add a dependent adverb clause to make it a complex one. Use the words in parenthesis and insert a comma if needed.  1. She was happy . ( after )  2. I will celebrate . ( if )  3. The park was crowded. ( because) 

A 20.0 kg block on a horizontal surface is attached to a lig…

A 20.0 kg block on a horizontal surface is attached to a light spring (spring constant k=8.00×103 Nm). The block is pulled 10.0 cm to the right from its equilibrium position and released from rest. When the block has moved 2.00 cm toward its equilibrium position, its kinetic energy is 12.5 J. How much work is done by the frictional force on the block as it moves ?

A driver in a car traveling east at 24.00 ms notices a washe…

A driver in a car traveling east at 24.00 ms notices a washed-out bridge 15.00 m ahead of the car. (a) What is the required minimum magnitude of the acceleration of the car in order for it to avoid running over the edge of the washed-out bridge? If the car only accelerates with half of the acceleration determined in (a) and the width of the river is 10.00 m, (b) will the car be able to cross the river without falling into water if another side of the river is 2.00 m below (see Fig. 1.1)? If the car only accelerates with half of the acceleration determined in (a) and the width of the river is 10.00 m, (c) what is the angle of the car to leave the edge of the washed-out bridge with the speed determining in (b) in order for it to avoid falling into water if another side of the river is at the same level (see Fig. 1.2)? If the car traveling east at 24.00 ms and an elephant ahead of the car traveling east at 6.00 ms, what is the minimum magnitude of the acceleration of the car in order for it to avoid hitting the elephant? (e) What are the direction and magnitude of the velocity of the center of mass of the car and elephant system if the mass of the car is 800.00 kg and the mass of the elephant is 500.00 kg at the moment that the elephant is being noticed by the driver?