A 20,000 kg rocket has a rocket motor that generates 3.0 x 105 N of thrust.a. What is the rocket’s initial upward acceleration?b. At an altitude of 5.0 km the rocket’s acceleration hasincreased to 6.0 m/s2. What mass of fuel has it burned?

1. A carnival ride consists of a hollow cylinder spinning about a vertical axis. As the cylinder spins with a speed vo, a person of mass M rides the inside wall of the cylinder without slipping down (there is no floor). The distance of the center of mass of the person from the axis of the cylinder is R. a. Draw the free body diagram of forces acting on the person during the ride. Show your choice for the +x and +y directions. b. Write out Newton's 2nd law in the x and y directions. Set the RHS of the equations to zero or Mv²/R or –Mv²/R. X: y: c. What is the normal force? d. What is the magnitude and direction of the friction force that the wall exerts on the rider? e. What is the magnitude and direction of the friction force the rider exerts on the wall? f. The coefficient of static friction between the wall and the rider is µg. What is the minimum speed that the rider can move without slipping down the wall?

A 72.5-kg person is riding in a car moving at 18.5 m/s (assume this is the positive direction) when the car runs into a bridge abutment. This problem will illustrate why the invention of the airbag dramatically improved the safety of automobiles. a. Calculate the horizontal component of the average force, in newtons, on the person if he is stopped by a padded dashboard that compresses an average of 0.85 cm. b. Calculate the horizontal component of the average force, in newtons, on the person if he is stopped by an air bag that compresses an average of 16 cm?

4. A ½ kg mass is pushed at 6 m/s from position A below. It slides down a frictionless surface past position B. At position C it encounters a surface which has a coefficient of friction of 0.4. Location D is 30 meters past location C. From location D and on the surface is again frictionless. The height of the first downhill section is 22 meters. a. Determine the velocity of the mass at location B. b. Determine the velocity of the block at location D. c. Determine the velocity of the block at location E 10 meters past D. Z zm イニ0

8. a block with an unknown mass slides at 2.82 m/s on a horizontal frictionless surface and it collided with an identical block that was at rest. they stick together. they then slide onto w rough board that has a coefficient of friction of 0.331. calculate the distance they slide before stopping

2.26 A force P in the xy-plane acts on the triangular plate. The moments of P about points O, A, and Bare Mo - 80 N - m countercdockwise, MA- 200 N- m clockwise, and M, - 0. Determine P. S00 mm 12 in. 400 mm Figure P2.25, P2.26 Figure P2.27

2. A 45.0 kg boy is initially seated on the top of a hemispherical ice mound of radius 20.0 m. He begins to slide down the ice, with a negligible initial speed. Assume the ice is frictionless. a. At what height does the boy lose contact with the ice. b. What is acting as a radial force?

Two blocksmịand m2 connected by a rope are being pulled by a horizontalforce F equal 160 N. Suppose that mį=10 kg,20 kg, and the coefficient of kineticm 2 =20 kg10 kgfriction between each block and the surfacem1is 0.52.A. Draw free-body diagrams of both objects.B. Find the acceleration of the systemC. Find the tension in the ropeD. What is the distance that the system ( two masses) will travel if youknow that are started from rest and final velocity is 4.5 m/sec(B) a= { F

As a science fair project, you want to launch an 700 g model rocket straight up and hit a horizontally moving target as it passes 26.0 m above the launch point. The rocket engine provides a constant thrust of 17.6 N. The target is approaching at a speed of 17.0 m/s. # 3 E D 80 F3 C 4 R F 888 V % 5 F5 T G ^ 6 B ▼ Part A At what horizontal distance between the target and the rocket should you launch? Express your answer with the appropriate units. FO Provide Feedback Y Value Submit MacBook Air H HA & 7 N F7 Request Answer U ** → 8 Units DII FB 1 M wwww. ? ( 9 K DD O :) O F10 P F11 1

Alex Morgan, one of America's best forwards, kicks a 450. g soccer ball that was moving towards her at a speed of 12.0m/s, the impact caused the ball to leave her foot with a velocity of 20.0 m/s in the opposite direction. a. If the impact lasted for 0.250s, what force (magnitude and direction) did Alex exert on the soccer ball? b. What is one thing that she could do to make the soccer ball have a larger change in momentum?