68. A rocket of mass 4.5 X 10 kg is accelerating straight up. Its engines produce an upward thrust of 7.5 x 10 N, and the air resistance produces a force that is oppo- site the motion and of magnitude 2.4 X 10N. Find the accelera- tion of the rocket.

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Chapter1: Units, Trigonometry. And Vectors
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68!

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**Physics Problem-Solving Examples**

**69.** A student is skateboarding down a ramp that is 6.0 m long and inclined at 18° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.6 m/s. Neglect friction and find the speed at the bottom of the ramp.

**70.** A cable is lifting a worker and a crate. Assume the cable is strong enough to handle the combined mass. Consider the dynamics as the cable pulls up.

**71.** In the drawing, suppose the weight of the hanging block is 42.2 N and that of the block on the table is 25.9 N. Ignoring all frictional effects, use the pulley to (a) find the acceleration of the masses, and (b) the tension in the cord.

**72.** A rocket of mass \(4.5 \times 10^5 \, \text{kg}\) takes off straight up. The engines produce an upward thrust of \(13 \times 10^6 \, \text{N}\). Ignore the mass of the fuel and air resistance. Find the net force and the initial acceleration of the rocket.

**Diagram Explanation (Figure near problem 71):**

The diagram shows a pulley system with two blocks connected by a cord. The block on the table at the left is labeled 42.2 N, and the hanging block on the right is labeled 25.9 N. The cord runs over a pulley at the edge of the table. This setup is used to calculate the acceleration of the blocks and the tension in cord due to the forces exerted by the weights of the blocks.

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This text provides practice problems for physics students learning about forces, motion, and dynamics. It includes exercises involving inclined planes, pulleys, and rockets, reinforcing concepts related to friction, acceleration, and tension. The accompanying diagram visually represents a physics problem and aids in understanding problem 71.
Transcribed Image Text:--- **Physics Problem-Solving Examples** **69.** A student is skateboarding down a ramp that is 6.0 m long and inclined at 18° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.6 m/s. Neglect friction and find the speed at the bottom of the ramp. **70.** A cable is lifting a worker and a crate. Assume the cable is strong enough to handle the combined mass. Consider the dynamics as the cable pulls up. **71.** In the drawing, suppose the weight of the hanging block is 42.2 N and that of the block on the table is 25.9 N. Ignoring all frictional effects, use the pulley to (a) find the acceleration of the masses, and (b) the tension in the cord. **72.** A rocket of mass \(4.5 \times 10^5 \, \text{kg}\) takes off straight up. The engines produce an upward thrust of \(13 \times 10^6 \, \text{N}\). Ignore the mass of the fuel and air resistance. Find the net force and the initial acceleration of the rocket. **Diagram Explanation (Figure near problem 71):** The diagram shows a pulley system with two blocks connected by a cord. The block on the table at the left is labeled 42.2 N, and the hanging block on the right is labeled 25.9 N. The cord runs over a pulley at the edge of the table. This setup is used to calculate the acceleration of the blocks and the tension in cord due to the forces exerted by the weights of the blocks. --- This text provides practice problems for physics students learning about forces, motion, and dynamics. It includes exercises involving inclined planes, pulleys, and rockets, reinforcing concepts related to friction, acceleration, and tension. The accompanying diagram visually represents a physics problem and aids in understanding problem 71.
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