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 T1. Cable 2 applies a force upward and to the left at an angle of 37.0 $\degree$ to the negative x axis and has a tension T2. Find T2.

A) 4000 N B) 6650 N C) 8310 N D) 3340 N A) 4000 N B) 6650 N C) 8310 N D) 3340 N

Exam 4: Forces and Motion in Two and Three Dimensions

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 T₁. Cable 2 applies a force upward and to the left at an angle of 37.0 $\degree$ to the negative x axis and has a tension T₂. Find T_2.

(Multiple Choice)

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Question 21

A trapeze artist, with swing, weighs 700 N; he is being held to one side by his partner so that the swing ropes make an angle of 30.0 $\degree$ with the vertical. In such a condition of static equilibrium what is the tension in the rope?

(Multiple Choice)

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Question 22

A 10-kg mass and a 6.0-kg mass are connected by a light string over a massless, frictionless pulley. If g = 9.8 m/s², what is the acceleration of the system when released?

(Multiple Choice)

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Question 23

A baseball is thrown by the center fielder (from shoulder level) to home plate where it is caught (on the fly at an equal shoulder level) by the catcher. At what point is the ball's speed at a minimum? Note: Air resistance is negligible.

(Multiple Choice)

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Question 24

A projectile is fired over a horizontal surface at an angle of elevation of 70°. Neglecting air resistance, what are possible angles in flight between the acceleration vector and the velocity vector?

(Multiple Choice)

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Question 25

As I pull a rope connected to a box at constant speed up a frictionless slope, pulling parallel to the slope, the tension in the rope will be:

(Multiple Choice)

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Question 26

A jet airliner moving at 600 mph due east moves into a region where the wind is blowing at 120 mph in a direction 30.0 $\degree$ north of east. What is the new speed and direction of the aircraft?

(Multiple Choice)

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Question 27

A helicopter is traveling at 54 m/s at a constant altitude of 100 m over a level field. If a wheel falls off the helicopter, with what speed will it hit the ground? Note: g = 9.8 m/s² and air resistance is negligible.

(Multiple Choice)

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Question 28

A 2000-kg sailboat experiences an eastward force of 2000 N by the ocean tide and a wind force against its sails with magnitude of 6000 N directed toward the northwest (45 $\degree$ N of W). What is the magnitude of the resultant acceleration?

(Multiple Choice)

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Question 29

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/s².

(Multiple Choice)

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Question 30

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)

(Multiple Choice)

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Question 31

Three forces, 5.0 N, 15.0 N, and 20.0 N, are acting on a 9.81 kg object. Which of the following forces could also be acting on the object if it is moving with constant velocity?

(Multiple Choice)

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Question 32

A boat travels upstream and after one hour has gone 10 km. The boat next travels downstream and after one hour has gone 16 km. If the boat's speed relative to the water is constant, what is the speed of the current in the river?

(Multiple Choice)

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Question 33

Two baseballs are released at the same time. One is dropped from rest and the other is given an initial horizontal velocity. Which of the following is not true? Ignore atmospheric drag.

(Multiple Choice)

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Question 34

A stone is thrown at an angle of 30 $\degree$ 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/s² and air resistance is negligible.

(Multiple Choice)

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Question 35

A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 42 mph. In which direction is the plane pointed?

(Multiple Choice)

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Question 36

Two ropes are attached to a 40-kg object. The first rope applies a force of 50 N and the second, 40 N. If the two ropes are perpendicular to each other, what is the resultant magnitude of the acceleration of the object?

(Multiple Choice)

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Question 37

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 $\mu$ _A and $\mu$ _B. Choose the last answer that is correct.

(Multiple Choice)

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Question 38

A 12.0-kg mass is placed on a 25.0 $\degree$ 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?

(Multiple Choice)

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Question 39

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:

(Multiple Choice)

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Question 40

Showing 21 - 40 of 86

Exam 4: Forces and Motion in Two and Three Dimensions

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 T1. Cable 2 applies a force upward and to the left at an angle of 37.0 °\degree° to the negative x axis and has a tension T2. Find T2.

A trapeze artist, with swing, weighs 700 N; he is being held to one side by his partner so that the swing ropes make an angle of 30.0 °\degree° with the vertical. In such a condition of static equilibrium what is the tension in the rope?

A 10-kg mass and a 6.0-kg mass are connected by a light string over a massless, frictionless pulley. If g = 9.8 m/s2, what is the acceleration of the system when released?

A baseball is thrown by the center fielder (from shoulder level) to home plate where it is caught (on the fly at an equal shoulder level) by the catcher. At what point is the ball's speed at a minimum? Note: Air resistance is negligible.

A projectile is fired over a horizontal surface at an angle of elevation of 70°. Neglecting air resistance, what are possible angles in flight between the acceleration vector and the velocity vector?

As I pull a rope connected to a box at constant speed up a frictionless slope, pulling parallel to the slope, the tension in the rope will be:

A jet airliner moving at 600 mph due east moves into a region where the wind is blowing at 120 mph in a direction 30.0 °\degree° north of east. What is the new speed and direction of the aircraft?

A helicopter is traveling at 54 m/s at a constant altitude of 100 m over a level field. If a wheel falls off the helicopter, with what speed will it hit the ground? Note: g = 9.8 m/s2 and air resistance is negligible.

A 2000-kg sailboat experiences an eastward force of 2000 N by the ocean tide and a wind force against its sails with magnitude of 6000 N directed toward the northwest (45 °\degree° N of W). What is the magnitude of the resultant acceleration?

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 gMars = 3.72 m/s2.

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)

Three forces, 5.0 N, 15.0 N, and 20.0 N, are acting on a 9.81 kg object. Which of the following forces could also be acting on the object if it is moving with constant velocity?

A boat travels upstream and after one hour has gone 10 km. The boat next travels downstream and after one hour has gone 16 km. If the boat's speed relative to the water is constant, what is the speed of the current in the river?

Two baseballs are released at the same time. One is dropped from rest and the other is given an initial horizontal velocity. Which of the following is not true? Ignore atmospheric drag.

A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A constant breeze is blowing from west to east at 42 mph. In which direction is the plane pointed?

Two ropes are attached to a 40-kg object. The first rope applies a force of 50 N and the second, 40 N. If the two ropes are perpendicular to each other, what is the resultant magnitude of the acceleration of the object?

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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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 T₁. Cable 2 applies a force upward and to the left at an angle of 37.0 $\degree$ to the negative x axis and has a tension T₂. Find T_2.

A trapeze artist, with swing, weighs 700 N; he is being held to one side by his partner so that the swing ropes make an angle of 30.0 $\degree$ with the vertical. In such a condition of static equilibrium what is the tension in the rope?

A 10-kg mass and a 6.0-kg mass are connected by a light string over a massless, frictionless pulley. If g = 9.8 m/s², what is the acceleration of the system when released?

A jet airliner moving at 600 mph due east moves into a region where the wind is blowing at 120 mph in a direction 30.0 $\degree$ north of east. What is the new speed and direction of the aircraft?

A helicopter is traveling at 54 m/s at a constant altitude of 100 m over a level field. If a wheel falls off the helicopter, with what speed will it hit the ground? Note: g = 9.8 m/s² and air resistance is negligible.

A 2000-kg sailboat experiences an eastward force of 2000 N by the ocean tide and a wind force against its sails with magnitude of 6000 N directed toward the northwest (45 $\degree$ N of W). What is the magnitude of the resultant acceleration?

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/s².