## College Physics Reasoning and Relationships

Physics & Astronomy

## Quiz 4 :

Forces and Motion in Two and Three Dimensions

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Q04 Q04 Q04

A 4000-N weight is held suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension T

_{1}. Cable 2 applies a force upward and to the left at an angle of 37.0 to the negative x axis and has a tension T_{2}. What is the tension T_{1}?Free

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Q05 Q05 Q05

A 4000-N weight is suspended in equilibrium by two cables. Cable 1 applies a horizontal force to the right of the object and has a tension T

_{1}. Cable 2 applies a force upward and to the left at an angle of 37.0 to the negative x axis and has a tension T_{2}. Find T_{2.}Free

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Q11 Q11 Q11

A trapeze artist, with swing, weighs 700 N; he is momentarily held to one side by his partner so that the swing ropes make an angle of 30.0 with the vertical. In such a condition of static equilibrium, what is the horizontal force being applied by the partner?

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Q16 Q16 Q16

A sled is on a horizontal surface and a rope with tension T is pulling on it at an angle above the horizontal. The sled had mass M and does not move due to the frictional force. In this case the coefficient of friction is . In terms of the variables given and g, what is the magnitude of the frictional force in this case?

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Q18 Q18 Q18

John throws a baseball from the outfield from shoulder height, at an initial velocity of 39.2 m/s at an initial angle of 30.0 with respect to the horizontal. The ball is in its trajectory for a total interval of 4.00 s before the third baseman catches it at an equal shoulder-height level. (Assume air resistance is negligible.) What is the ball's horizontal displacement?

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Q19 Q19 Q19

A baseball thrown from the outfield is released from shoulder height at an initial velocity of 39.2 m/s at an initial angle of 30.0 with respect to the horizontal. If it is in its trajectory for a total of 4.00 s before being caught by the third baseman at an equal shoulder-height level, what is the ball's net vertical displacement during its 4.00-s trajectory?

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Q23 Q23 Q23

A baseball is thrown by the center fielder (from shoulder level) to home plate where it is caught (on the fly at eye level) by the catcher. At what point does the magnitude of the vertical component of velocity have its maximum value? (air resistance is negligible)

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Q26 Q26 Q26

A ball is rolled horizontally off a table with an initial speed of 0.18 m/s. A stopwatch measures the ball's trajectory time from table to the floor to be 0.30 s. How far away from the table does the ball land? Note: g = 9.8 m/s

^{2}and air resistance is negligible.Free

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Q27 Q27 Q27

A stone is thrown at an angle of 30 above the horizontal from the top edge of a cliff with an initial speed of 14 m/s. A stop watch measures the stone's trajectory time from top of cliff to bottom to be 7.1 s. What is the height of the cliff? Note: g = 9.8 m/s

^{2}and air resistance is negligible.Free

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Q28 Q28 Q28

A stone is thrown at an angle of 30 above the horizontal from the top edge of a cliff with an initial speed of 14 m/s. A stop watch measures the stone's trajectory time from top of cliff to bottom to be 7.1 s. How far out from the cliff's edge does the stone travel horizontally? Note: g = 9.8 m/s

^{2 }and air resistance is negligible.Free

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Q29 Q29 Q29

A stone is thrown with an initial speed of 15 m/s at an angle of 53 above the horizontal from the top of a 40-m building. If g = 9.8 m/s

^{2 }and air resistance is negligible, then what is the magnitude of the vertical velocity component of the rock as it hits the ground?Free

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Q30 Q30 Q30

A stone is thrown with an initial speed of 15 m/s at an angle of 53 above the horizontal from the top of a 40-m building. If g = 9.8 m/s

^{2}and air resistance is negligible, then what is the magnitude of the horizontal component of velocity as the rock strikes the ground?Free

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Q33 Q33 Q33

A bridge that was 8.3 m long has been washed out by the rain several days ago. How fast must a car be going to successfully jump the stream? Although the road is level on both sides of the bridge, the road on the far side is 2.0 m lower than the road on this side.

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Q36 Q36 Q36

Superguy is flying at treetop level near Paris when he sees the Eiffel Tower elevator start to fall (the cable snapped). His x-ray vision tells him Lois LaTour is inside. If Superguy is 1.00 km away from the tower, and the elevator falls from a height of 2.1 10

^{2}m, how long does Superguy have to save Lois, and what must be his average speed?Free

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Q38 Q38 Q38

A baseball leaves the bat with a speed of 44.0 m/s and an angle of 30.0 above the horizontal. A 4.0-m high fence is located at a horizontal distance of 132 m from the point where the ball is struck. Assuming the ball leaves the bat 1.0 m above ground level, by how much does the ball clear the fence?

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Q40 Q40 Q40

A fireman, 40.0 m away from a burning building, directs a stream of water from a fire hose at an angle of 30.0 above the horizontal. If the initial speed of the stream is 40.0 m/s, at what height above the nozzle will the stream of water strike the building?

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Q41 Q41 Q41

The highest mountain on Mars is Olympus Mons, rising 22,000 meters above the Martian surface. If we were to throw an object horizontally off the mountain top, how long would it take to reach the surface? Note: Ignore atmospheric drag forces and use g

_{Mars}= 3.72 m/s^{2}.Free

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Q49 Q49 Q49

A river flows due east at 2.0 m/s. A boat crosses the 300 m-wide river by maintaining a constant velocity of 10 m/s due north relative to the water. If no correction is made for the current, how far downstream does the boat move by the time it reaches the far shore?

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Q66 Q66 Q66

A 250-kg crate is placed on an adjustable inclined plane. If the crate slides down the incline with an acceleration of 0.25 m/s

^{2}when the incline angle is 25, then what should the incline angle be for the crate to slide down the plane at constant speed? Note: g = 9.8 m/s^{2}.Free

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Q68 Q68 Q68

Two objects, A and B, are placed on an inclined plane that can be rotated to different angles of elevation. A starts to slide at twice the angle of elevation that B starts sliding. The respective coefficients for static friction for A and B are

_{A}and _{B}. Choose the last answer that is correct.Free

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Q70 Q70 Q70

A 12.0-kg mass is placed on a 25.0 incline and friction keeps it from sliding. The coefficient of static friction in this case is 0.580, and the coefficient of sliding friction is 0.520. The mass is given a shove causing it to slide down the incline. What is the frictional force while the mass is sliding?

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Q71 Q71 Q71

A 12.0-kg mass is placed on a 25.0 incline and friction keeps it from sliding. The coefficient of static friction in this case is 0.580 and the coefficient of sliding friction is 0.520. The mass is given a shove causing it to slide down the incline. Taking down the incline as positive, what is the acceleration of the mass while it is sliding?

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Q78 Q78 Q78

A block is launched up an inclined plane. After going up the plane, it slides back down to its starting position. The coefficient of friction between the block and the plane is 0.3. The speed of the block when it reaches the starting position on the trip down:

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Q79 Q79 Q79

A box is launched up a frictionless incline with an angle of elevation . The maximum height reached by the box is h. The box is again launched up the incline with the same initial speed it had before, but this time the angle of elevation has been increased to . How does the maximum height H reached this time by the box compare with the previous value h?

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