Physics Problems - Summary of Solutions
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Questions and Answers

What is the velocity of the object just before it hits the ground?

  • 75.50 ft/sec
  • 80.24 ft/sec (correct)
  • 60.12 ft/sec
  • 90.00 ft/sec
  • What is the kinetic energy of the object just before it hits the ground?

  • 10,000 lbf (correct)
  • 12,000 lbf
  • 5,000 lbf
  • 7,500 lbf
  • What is the potential energy of the object before it is released from the top of the building?

  • 10,000 lbf (correct)
  • 5,000 lbf
  • 15,000 lbf
  • 20,000 lbf
  • What is the maximum load rating for a two-leg sling with an operating tension of 3,000 lbs at a 45-degree angle?

    <p>4,242 lb</p> Signup and view all the answers

    What should the minimum angle of each leg with the vertical be for a two-leg sling supporting a load of 4,000 lbs if each leg has a maximum operating tension of 2,500 lbs?

    <p>36.8 degrees</p> Signup and view all the answers

    What is the electrical resistance of a conductor 10 ft long with a diameter of 1/8 inch and a resistivity of 5 x 10 -3 ohm-inch?

    <p>48.9 ohms</p> Signup and view all the answers

    What is the total resistance when resistors can be replaced with a single resistor that has a resistance of 8.33 ohms?

    <p>13.67 ohms</p> Signup and view all the answers

    What is the equivalent capacitance for a certain circuit configuration?

    <p>26.72 μF</p> Signup and view all the answers

    What are the values of the single resistor and capacitor when all resistors and capacitors in the circuit are replaced?

    <p>414.8 ohms, 6.5 μF</p> Signup and view all the answers

    What is the minimum force required to set a 100 kg box in motion on a surface with a coefficient of friction of 0.3?

    <p>294 Newtons</p> Signup and view all the answers

    How much force is necessary to move a 300 lb box up a surface with a friction coefficient of 0.4?

    <p>193.5 lb</p> Signup and view all the answers

    What will be the acceleration of a 100 lb box acted upon by a force of 1,000 lbf and a friction coefficient of 0.3?

    <p>312 ft/sec²</p> Signup and view all the answers

    If a car is decelerating at 10 ft/sec² from an initial speed of 65 miles per hour, how long will it take to stop?

    <p>9.5 seconds</p> Signup and view all the answers

    What is the worker’s velocity when hitting the wall after sliding 10 feet down a 15-degree ramp with a coefficient of friction of 0.1?

    <p>10 ft/sec</p> Signup and view all the answers

    How high is a building from which an object is dropped, taking 2.5 seconds to reach the ground?

    <p>100.6 ft</p> Signup and view all the answers

    Calculate the kinetic energy of a 100 kg object moving at a speed of 10 m/s.

    <p>5000 Joules</p> Signup and view all the answers

    What is the kinetic energy of a 100 lbm object moving at 10 ft/sec?

    <p>155 ft.lbf</p> Signup and view all the answers

    What is the gravitational force acting on a 100 lbm object?

    <p>100 lbf</p> Signup and view all the answers

    If an object is in free fall, how far will it fall in 2.5 seconds?

    <p>100.6 ft</p> Signup and view all the answers

    Study Notes

    Physics Problems - Summary of Solutions

    • Problem 1: A 100 kg box rests on a horizontal surface with a friction coefficient of 0.3. The force required to move the box is greater than 294 Newtons.

    • Problem 2: A 300 lb box rests on a 15° inclined surface with a friction coefficient of 0.4. The force required to move the box up the incline is greater than 193.5 lbs.

    • Problem 3: A 100 lb box is acted upon by a 1000 lbf force. The calculated acceleration of the box (assuming a friction coefficient of 0.3) is 312 ft/sec².

    • Problem 4: A car traveling at 65 miles per hour decelerates at a constant rate of 10 ft/sec². The time to stop is 9.5 seconds and the stopping distance is 454.2 feet.

    • Problem 5: A 200 lb worker slips on a 15° ramp and travels 10 feet before hitting a wall. The worker's velocity at impact, assuming constant acceleration and friction coefficient of 0.1, is 10 ft/sec.

    • Problem 6: An object falls from a building (no initial velocity) and hits the ground in 2.5 seconds. The height of the building is 100.6 ft.

    • Problem 7: A 100 kg object traveling at 10 m/sec has a kinetic energy of 5000 Joules.

    • Problem 8: A 100 lbm object moving at 10 ft/sec has a kinetic energy of 155 ft⋅lbf.

    • Problem 9: A 100 lbm object dropped from a 100 ft building takes 24.9 seconds to hit the ground. The velocity just before impact is 80.24 ft/sec and the kinetic energy is 10,000 ft⋅lbf. The potential energy initially was 10,000 ft⋅lbf.

    • Problem 10: A two-leg sling with a 3000 lb tension rating in each leg, at a 45-degree angle to the vertical, has a maximum load rating of 4242 lbs.

    • Problem 11: A two-leg sling with a 2500 lb maximum operating tension in each leg to hold a 4000 lb load requires a minimum angle of 36.8 degrees with the vertical.

    • Problem 12: A 10 ft long conductor with a 1/8 inch diameter and a resistivity of 5 x 10⁻³ ohm-inch has an electrical resistance of 48.9 ohms.

    • Problem 13: A circuit with resistors R₁=2Ω, R₂=5Ω, R₃=3Ω, R₄=4Ω, R₅=6Ω, all in series, is equivalent to one resistor of 8.33 ohms.

    • Problem 14: A circuit with capacitors C₁=5µF, C₂=2µF, C₃=4µF, all in parallel, has an equivalent capacitance of 1.15 μF.

    • Problem 15: A circuit with a 120-volt potential difference, a resistor R₁ (length 1 inch, diameter ½ inch, resistivity 20 ohms-inches), resistors R₂ = 20Ω, R₃ = 30Ω, R₄ = 40Ω, R₅ = 50Ω, and capacitors C₁ = 8 µF, C₂ = 15 µF, and C₃ = 20 µF, is equivalent to 414.8 ohms and 6.5 µF.

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    Description

    This quiz features a series of physics problems focusing on friction, force, and motion calculations. Each problem challenges you to apply fundamental physics concepts to find solutions related to forces, inclines, and acceleration. Test your understanding of the principles of physics with these practical scenarios.

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