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 (D)</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 (C)</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 (A)</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 (B)</p> Signup and view all the answers

What is the equivalent capacitance for a certain circuit configuration?

<p>26.72 μF (B)</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 (D)</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 (A)</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 (D)</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 (B)</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 (B)</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 (B)</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 (B)</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 (B)</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 (C)</p> Signup and view all the answers

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

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

Flashcards

Force to initiate motion

The minimum force required to overcome static friction and initiate motion of an object resting on a surface.

Force to move up an incline

The force needed to overcome friction and move an object up an inclined surface.

Acceleration of a box

The acceleration of an object resulting from a net force acting on it, considering both applied force and friction.

Time to stop

The time it takes for a moving object to come to a complete stop, given a constant deceleration.

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Stopping distance

The distance traveled by a moving object during its deceleration to a complete stop.

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Velocity before impact

The velocity of an object just before it hits a wall, determined by its initial velocity and the acceleration caused by gravity and friction while sliding.

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Height of a building

The height of a building from which an object is dropped, calculated using the time of freefall and acceleration due to gravity.

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Kinetic energy

The energy possessed by an object due to its motion, dependent on its mass and velocity.

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Kinetic energy (ft.lbf)

The kinetic energy possessed by an object based on its mass and velocity, calculated in units of foot-pound force (ft.lbf).

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Potential energy

The energy possessed by an object due to its position in a gravitational field. In this context, the object is at a certain height, which implies a potential energy.

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Maximum load rating of a two-leg sling

The maximum load a two-leg sling can safely support is determined by the operating tension rating of each leg and the angle they make with the vertical. The load rating formula is: Load = 2 * (Tension rating) * cos(angle).

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Minimum angle for safe load support

The minimum angle of each leg with the vertical is crucial for safe load support. This value ensures the sling doesn't exceed its maximum operating tension capacity. The angle is calculated using: cos(angle) = Load/(2 * Tension rating).

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Electrical resistance

Electrical resistance is the opposition a material offers to the flow of electric current. It depends on the material's resistivity (resistance per unit length and cross-sectional area), length, and cross-sectional area. The formula is: Resistance = Resistivity * (Length / Area).

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Equivalent resistance

The equivalent resistance of resistors in a circuit can be calculated using different rules depending on their arrangement. Resistors in series add up directly, while resistors in parallel have a reciprocal sum.

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Capacitance

Capacitance is the ability of a capacitor to store electric charge. It's measured in Farads (F). Capacitance depends on the geometry of the capacitor (plate area and separation) and the dielectric material between the plates.

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Equivalent capacitance

The equivalent capacitance of capacitors in a circuit depends on their arrangement. Capacitors in parallel add up directly, while capacitors in series have a reciprocal sum.

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Time to reach the ground

The time it takes for an object to fall to the ground is determined by its initial velocity and the acceleration due to gravity. The formula is: Time = (Final Velocity - Initial Velocity) / Acceleration.

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Velocity just before impact

The velocity of an object just before it hits the ground is calculated using the initial velocity, acceleration due to gravity, and the time it takes to fall. The formula is: Final Velocity = Initial Velocity + Acceleration * Time.

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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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