Podcast
Questions and Answers
What is the magnitude of the resultant force when Mr. Williamson pulls with 1200 N at 35° and Sarah pulls with 400 N at 13°?
What is the magnitude of the resultant force when Mr. Williamson pulls with 1200 N at 35° and Sarah pulls with 400 N at 13°?
The force exerted by the student driver who crashed through 3 concrete pillars was less than 6000 N.
The force exerted by the student driver who crashed through 3 concrete pillars was less than 6000 N.
True
How much force did the lineman exert on Daniel Jones?
How much force did the lineman exert on Daniel Jones?
360 N
The coefficient of friction between Mr. Williamson's tires and the road is represented as _____.
The coefficient of friction between Mr. Williamson's tires and the road is represented as _____.
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Match the following scenarios with their respective forces exerted:
Match the following scenarios with their respective forces exerted:
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What is the net force when the six graders pull with 12500 N and the seniors pull with 12000 N?
What is the net force when the six graders pull with 12500 N and the seniors pull with 12000 N?
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If Santa weighs 2600 N, the sled will move farther with Santa in it due to increased mass.
If Santa weighs 2600 N, the sled will move farther with Santa in it due to increased mass.
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What is the acceleration of the box when pulled with a force of 185 N at an angle of 25.0°?
What is the acceleration of the box when pulled with a force of 185 N at an angle of 25.0°?
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Study Notes
Problem 1
- Given: Force 1 = 1200 N, angle 1 = 35°, Force 2 = 400 N, angle 2 = 13°
- Find: Resultant force magnitude and direction
- Method: Vector addition (resolve forces into x and y components, sum x and y components, calculate resultant magnitude and angle)
Problem 2
- Given: Mass = 1800 kg, initial velocity = 15 mph, distance = 33 meters
- Find: Force exerted by the driver
- Method: Use the work-energy theorem (Work = change in kinetic energy). Convert 15 mph to m/s. Calculate work done to stop the car. Force can be calculated as Work/distance.
Problem 3
- Given: Mass of lineman = 120 kg, acceleration = 3 m/s²
- Find: Force exerted on Danny
- Method: Use Newton's second law (F = ma)
Problem 4
- Given: Applied force = 550 N, car weight = 950 kg
- Find: Coefficient of friction
- Method: Use Newton's second law and the friction formula (F_friction = coefficient of friction * normal force). Normal force is equal to the car's weight (in this case).
Problem 5
- Given: Tension on ropes = 255 N, angles = 38°
- Find: Mass of traffic light
- Method: Resolve the tension forces into x and y components. The vertical components of tension must balance the weight of the light.
Problem 6
- Given: Force 1 = 12500 N, angle 1 = 5°, Force 2= 12000 N
- Find: Net force and winner of tug-of-war
- Method: Vector addition (resolve forces into x and y components, sum x and y components, calculate resultant magnitude and direction) The team with greater net force wins.
Problem 7
- Given: Mass = 1630 kg, horizontal force = 2970 N, time (part a) = 5.2 seconds, time (part b) = 3.9 seconds, mass of Santa = 2600 N
- Find: Distance traveled in parts a and b
- Method: Use Newton's second law to find acceleration first and then use the kinematic equations to solve for the distance.
Problem 8
- Given: Mass = 38 kg, incline = 11°, force = 118 N
- Find: Normal force, velocity in X direction, distance = 28 meters
- Method: Resolve forces into components to find normal force and acceleration. Use kinematic equations (find velocity)
Problem 9
- Given: Force = 185 N, angle = 25°, mass = 35 kg, coefficient of kinetic friction = 0.27
- Find: Acceleration of the box
- Method: Resolve force into components to find the net force acting on the box in the x direction. Calculate the friction force. Use Newton's second law (F= ma) to calculate acceleration.
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Description
This quiz covers various problems related to forces, including vector addition, the work-energy theorem, and Newton's laws of motion. Solve for resultant forces, work done, and coefficients of friction through different calculations. Perfect for reinforcing your understanding of dynamics in physics.
