Physics

Vectors and Forces in Two Dimensions

Problem #1

• A plane is flying at a velocity of 95 m/s west and encounters a wind of 25 m/s to the south. What is the plane’s resultant velocity?

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Problem #2

• A force of 75.5 N acts on a 45 kg rock at 35o at the same time a second force of 55.0 N acts on it at 70o. What is the acceleration of the block?

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Problem #3

• A 34.5 kg sled is being accelerated at a rate of 12.0 m/s2, with a force of 750.0 N being applied. What is the coefficient of friction between the sled and the ground?

Problem #4

• A stagehand starts sliding a large piece of stage scenery originally at rest by pulling it horizontally with a force of 645 N. What is the coefficient of static friction between the stage floor and the 395 N piece of scenery?

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Problem #5

• A 65.0 kg person is skiing downhill on a 30.0o slope. If the coefficient of friction between the skis and the snow is 0.015, what will be his acceleration downhill?

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Problem #6

• A 65.0 kg box is sliding down an inclined plane with a coefficient of sliding friction between the plane and the box equal to 0.123. What must the angle of the plane be in order to keep the box from sliding down the plane?

Problem #7

• A 25.5 kg sign is held up by to support cables, one at 60.0 degrees from the vertical, the other at 30.0 degrees from the vertical. What is the tension of each rope?

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Problem #8

• A girl pushes a 55.0 kg cart along the handle at an angle of 15.0 with a force of 75.0 N. What is the acceleration of the cart if the coefficient of rolling friction is 0.025?