Unit 7, Energy Worksheet 6 Quantitative Energy Problems Name tion shown helow 1.

Question

Unit 7, Energy Worksheet 6 Quantitative Energy Problems Name tion shown helow 1. Draw a physical diagram which describes the situation Identify the systerm you will analyze and the zero reference level for the determination of gravitational energy, and label each important position for your problern (See example in problem I) 2. Complete energy bar graphs and energy flow diagram for each situation, 3. From the energy bar graphs/flow diagram, writc the energy equation associated with the situation. 4. Use standard problem solving procedures to solve for the required quantities in each problem. 5. For each of the problems after problem one, do all work on a separate sheet of paper 1 An 6.00 kg cart is moving at 8.00 m/s when it hits a spring of spring constant 30.0 N/m. When the cart has come to rest, how much is the spring compressed? Work this problem in the space below Pceition A Position B 2. A 25.0 kg cart, initially at rest, rolls down a hill. What is the speed of the cart when it is 5.00 meters lower than its initial position, assuming that 15% of the energy is dissipated by friction. If the block is A 200 g block is placed on a spring of spring constant 50 N/m, compressing it 0.300 m. released from rest, what is the greatest height reached by the block 3. The 25.0 g bullet traveling at 350 m/s strikes a block of wood. The block of wood exerts an average force of 50,000 N opposing the motion of the bullet. How far does the bullet penctrate while stopping? 4. 5. A 200. kg box is pulled at constant specd by the little engine pictured to the right. The box moves a distance f 2.50 m across a horizontal surface. A frictional force of 400 N opposes the motion of the box. a. Draw a force diagram of all relevant forces acting b. Construct a qualitative energy bar graph/flow c. How much energy is transferred to the system by the engine? on the box diagram for this situation. Be sure to specify your system. What type of motion would occur if the engine pulled with a force of 500 N? Modify your force diagram and apply Newton's 2nd Law d. 6. How far could the box in problem 5 be pulled at constant velocity with the expenditure of 8,000 J of energy? SModoling Workshop Projoct 2008/A TIME for PHYSics FIRST Unit 5, WS 6, Energy, v1.0

Explanation / Answer

only one question can be posted as per chegg guidelines

1.

By Conservation of energy

(1/2)mVi2=(1/2)mVf2+(1/2)Kx2

Since cart comes to rest finally Vf=0

=>(1/2)*6*82=0+(1/2)*30*x2

X=3.58 m

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