Exam 5: Applications of Newtons Laws

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The picture on the right shows an exploding firework high up in the air, just after the firework has come to a rest. Which point best describe the center of mass of the explosion? The picture on the right shows an exploding firework high up in the air, just after the firework has come to a rest. Which point best describe the center of mass of the explosion?   Picture by H.K. Ng Picture by H.K. Ng

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Four identical blocks are moving on a surface for which the coefficient of kinetic friction between each block and the surface is µk. The velocity of each block is indicated by the vector on the block. For which block is the force of friction between the surface and the block greatest? Four identical blocks are moving on a surface for which the coefficient of kinetic friction between each block and the surface is µ<sub>k</sub>. The velocity of each block is indicated by the vector on the block. For which block is the force of friction between the surface and the block greatest?

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A block with a mass of 10 kg is at rest on a horizontal surface. The coefficient of static friction between the block and the surface is 0.30, and the coefficient of kinetic friction is 0.25. A force of 20 N acts on the block toward the left. The magnitude of the frictional force on the block is

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A 50-kg block rests on a horizontal surface. The coefficient of static friction μ\mu a = 0.50. The coefficient of kinetic friction μ\mu k = 0.35. A force  A 50-kg block rests on a horizontal surface. The coefficient of static friction  \mu <sub>a</sub> = 0.50. The coefficient of kinetic friction  \mu <sub>k</sub> = 0.35. A force   of 250 N is applied as shown.   of 250 N is applied as shown.  A 50-kg block rests on a horizontal surface. The coefficient of static friction  \mu <sub>a</sub> = 0.50. The coefficient of kinetic friction  \mu <sub>k</sub> = 0.35. A force   of 250 N is applied as shown.

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An object traveling in a circle at constant speed

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Which of the following statements is NOT true about friction?

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In the figure, m1 = 3 kg, m2 = 8 kg, and M3 = 4 kg. The forces are In the figure, m<sub>1</sub> = 3 kg, m<sub>2</sub> = 8 kg, and  M<sub>3</sub> = 4 kg. The forces are   <sub>1</sub> = 1 N   + 1 N   ,   <sub>2</sub> = 1 N   + 1 N   , and <sub>3</sub> = -2 N   . The acceleration of the center of mass is approximately  1 = 1 N In the figure, m<sub>1</sub> = 3 kg, m<sub>2</sub> = 8 kg, and  M<sub>3</sub> = 4 kg. The forces are   <sub>1</sub> = 1 N   + 1 N   ,   <sub>2</sub> = 1 N   + 1 N   , and <sub>3</sub> = -2 N   . The acceleration of the center of mass is approximately  + 1 N In the figure, m<sub>1</sub> = 3 kg, m<sub>2</sub> = 8 kg, and  M<sub>3</sub> = 4 kg. The forces are   <sub>1</sub> = 1 N   + 1 N   ,   <sub>2</sub> = 1 N   + 1 N   , and <sub>3</sub> = -2 N   . The acceleration of the center of mass is approximately  , In the figure, m<sub>1</sub> = 3 kg, m<sub>2</sub> = 8 kg, and  M<sub>3</sub> = 4 kg. The forces are   <sub>1</sub> = 1 N   + 1 N   ,   <sub>2</sub> = 1 N   + 1 N   , and <sub>3</sub> = -2 N   . The acceleration of the center of mass is approximately  2 = 1 N In the figure, m<sub>1</sub> = 3 kg, m<sub>2</sub> = 8 kg, and  M<sub>3</sub> = 4 kg. The forces are   <sub>1</sub> = 1 N   + 1 N   ,   <sub>2</sub> = 1 N   + 1 N   , and <sub>3</sub> = -2 N   . The acceleration of the center of mass is approximately  + 1 N In the figure, m<sub>1</sub> = 3 kg, m<sub>2</sub> = 8 kg, and  M<sub>3</sub> = 4 kg. The forces are   <sub>1</sub> = 1 N   + 1 N   ,   <sub>2</sub> = 1 N   + 1 N   , and <sub>3</sub> = -2 N   . The acceleration of the center of mass is approximately  , and 3 = -2 N In the figure, m<sub>1</sub> = 3 kg, m<sub>2</sub> = 8 kg, and  M<sub>3</sub> = 4 kg. The forces are   <sub>1</sub> = 1 N   + 1 N   ,   <sub>2</sub> = 1 N   + 1 N   , and <sub>3</sub> = -2 N   . The acceleration of the center of mass is approximately  . The acceleration of the center of mass is approximately In the figure, m<sub>1</sub> = 3 kg, m<sub>2</sub> = 8 kg, and  M<sub>3</sub> = 4 kg. The forces are   <sub>1</sub> = 1 N   + 1 N   ,   <sub>2</sub> = 1 N   + 1 N   , and <sub>3</sub> = -2 N   . The acceleration of the center of mass is approximately

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The center of mass of the system of particles shown in the diagram is at point The center of mass of the system of particles shown in the diagram is at point

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Four smiley faces are situated along the x axis as follows: m1 = 5 kg at - 5.0 m, m2 = 3 kg at - 2.0 m, m3 = 3 kg at 1.0 m, and m4 = 2 kg at 3.0 m. Where is the center of mass situated? Four smiley faces are situated along the x axis as follows: m<sub>1</sub> = 5 kg at - 5.0 m, m<sub>2</sub> = 3 kg at - 2.0 m, m<sub>3</sub> = 3 kg at 1.0 m, and m<sub>4</sub> = 2 kg at 3.0 m. Where is the center of mass situated?

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A box (M = 20 kg) is sitting on a horizontal surface. It is connected to a massless hook by a light string passing over a massless pulley wheel. The coefficients of friction between the box and the surface are 0.80 (static) and 0.30 (kinetic). If 15 kg (in total) are placed on the hook, calculate the acceleration of the box.

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Use the figure below for the problem. A mass, m1, attached to a spring is placed on a cart with mass m2, which moves freely and without friction on a table. m1 slides without friction on the cart and is ¼ the mass of m2. Use the figure below for the problem. A mass, m<sub>1</sub>, attached to a spring is placed on a cart with mass m<sub>2</sub>, which moves freely and without friction on a table. m<sub>1</sub> slides without friction on the cart and is ¼ the mass of m<sub>2</sub>.   -When m<sub>1</sub> is allowed to oscillate along m<sub>2</sub>, what is the motion of m<sub>2</sub>? -When m1 is allowed to oscillate along m2, what is the motion of m2?

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A proud new Jaguar owner drives her car at a speed of 25 m/s into a corner. The coefficients of friction between the road and the tires are 0.70 (static) and 0.40 (kinetic). What is the minimum radius of curvature for the corner in order for the car not to skid?

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An object with a mass of 5.5 kg is allowed to slide from rest down an inclined plane. The plane makes an angle of 30º with the horizontal and is 72 m long. The coefficient of friction between the plane and the object is 0.35. The speed of the object at the bottom of the plane is

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A particle moving with uniform Motion Along a Curved Path has a period of 0.24 s and a speed of 4.2 m/s. The radius of the path of the particle is

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  The free-body diagram that best represents the forces acting on the student sliding down a rough incline is  The free-body diagram that best represents the forces acting on the student sliding down a rough incline is   The free-body diagram that best represents the forces acting on the student sliding down a rough incline is

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Four smiley faces are situated along the x axis as follows: m1 = 5 kg at 0.0 m, m2 = 3 kg at 4.0 m, m3 = 3 kg at x m, and m4 = 2 kg at 8.0 m. If the center of mass is situated at 3.54 m, where is m3 located? Four smiley faces are situated along the x axis as follows: m<sub>1</sub> = 5 kg at 0.0 m, m<sub>2</sub> = 3 kg at 4.0 m, m<sub>3</sub> = 3 kg at x m, and m<sub>4</sub> = 2 kg at 8.0 m. If the center of mass is situated at 3.54 m, where is m<sub>3</sub> located?

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A block of mass m is pulled in the direction shown in the figure across a rough surface at a constant velocity. The magnitude of the frictional force is A block of mass m is pulled in the direction shown in the figure across a rough surface at a constant velocity. The magnitude of the frictional force is

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A uniform horizontal bar is in a region of space where the acceleration due to gravity g varies, increasing from left to right. Where is the location of the center of mass relative to the center of gravity?

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A car of mass 3.0 ×\times 103 kg traveling at a speed of 20  A car of mass 3.0  \times  10<sup>3</sup> kg traveling at a speed of 20   is passing a truck of mass 7.5  \times  10<sup>3</sup> kg traveling at a speed of 16   in the same direction. What is the speed of the center of mass of this system? is passing a truck of mass 7.5 ×\times 103 kg traveling at a speed of 16  A car of mass 3.0  \times  10<sup>3</sup> kg traveling at a speed of 20   is passing a truck of mass 7.5  \times  10<sup>3</sup> kg traveling at a speed of 16   in the same direction. What is the speed of the center of mass of this system? in the same direction. What is the speed of the center of mass of this system?

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An object with a mass M = 250 g is at rest on a plane that makes an angle θ\theta = 30º above the horizontal. The coefficient of kinetic friction between M and the plane is µk = 0.100. Mass M is attached by a string to another mass, M = 200 g, which hangs freely. When mass m has fallen 30.0 cm, its speed is  An object with a mass M = 250 g is at rest on a plane that makes an angle  \theta  = 30º above the horizontal. The coefficient of kinetic friction between M and the plane is µ<sub>k</sub> = 0.100. Mass M is attached by a string to another mass, M = 200 g, which hangs freely. When mass m has fallen 30.0 cm, its speed is

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