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1) A projectile is fired from cannon directly at a target that is dropped from rest...
Problem 2. (10 points) A projectile is fired from a cannon with an initial velocity of...
Problem 2. (10 points) A projectile is fired from a cannon with an initial velocity of 100 ft/s at a 30° angle above the horizon. Ignoring air resistance, determine the approximate distance that the projectile hits the ground (in feet) from the cannon based upon flat terrain.
Example 4.3 A Bull's-Eye Every Time In a popular lecture demonstration, a projectile is fired at...
Example 4.3 A Bull's-Eye Every Time In a popular lecture demonstration, a projectile is fired at a target in such a way that the projectile leaves the gun at the same time the target is dropped from rest. Show that if the gun is initially aimed at the stationary target, the projectile hits the falling target as shown in figure (a). The velocity of the projectile (red arrows) changes in direction and magnitude, but its acceleration (purple arrows) remains constant....
1. 2. Please answer both questions. A projectile is fired up into the air at a...
1. 2.
Please answer both questions.
A projectile is fired up into the air at a speed of 127 m/s at an angle of 38° relative to the horizontal. Ignore air drag A.) Determine the MAXIMUM HEIGHT (above where it was thrown) the projectile will reach X Dimensionally incorrect. Please check the type or dimension of your unit B.) Determine how LONG the projectile will be in the air. Assume it lands at the same height it was launched. C.)Assuming...
1. A particle of mass m and charge q is dropped from height of 3h above...
1. A particle of mass m and charge q is dropped from height of 3h above the ground. The particle starts from rest and its starting position is (x, y) (0,3h). At height 2h, the particle enters a uniform electric field of magnitude E pointing in the negative r direction. The magnitude of the force on the particle due to the electric field is qE. The particle exits the electric field at height h. A cup is placed at position...
(a3, y3,4z3). Let Si be the disk in the 12. Consider the vector field in space...
(a3, y3,4z3). Let Si be the disk in the 12. Consider the vector field in space given by F(x, y, z) xy-plan described by x2 + y2 < 4, z = 0; and let S2 be the upper half of the paraboloid given by z 4 y2, z 2 0. Both Si and S2 are oriented upwards. Let E be the solid region enclosed by S1 and S2 (a) Evaluate the flux integral FdS (b) Calculate div F div F...
Please help with Q1 a)b)c). Question 1: In the lectures we considered simple projectile motion. Here we extend the description to include air resistance. For macroscopic objects in air, the dynamics...
Please help with Q1 a)b)c).
Question 1: In the lectures we considered simple projectile motion. Here we extend the description to include air resistance. For macroscopic objects in air, the dynamics equations including air resistance may be written V and ^- where m is the mass of the object, g is the acceleration due to gravity, y is the vertical direction, C is a dimensionless drag coefficient, A is the cross-sectional area of the object, pa 1.2kg/m3 is the density...
AHHA Summing Up PART A: NEWTON'S CANNON 1. Acannonball dropped from a cliff will fall straight...
AHHA Summing Up PART A: NEWTON'S CANNON 1. Acannonball dropped from a cliff will fall straight down and hit the surface of the Earth. How could the cannonball be made to orbit the Earth instead? waHTRo Based on your experience with the simulation, which do you think is more common: circular orbits or noncircular elliptical orbits? Defend your answer 2. PART B: HARMONY OF THE WORLDS 3. Use the following method to determine the relationship between the orbital radius of...
1.) The method to bring the electrons to a specific velocity Ŭ is described in the...
1.) The method to bring the electrons to a specific velocity Ŭ is described in the intro- duction. Determine the exiting velocity of the electrons as it leaves the accelerating voltage AV region. Assume the electron starts from rest, travels the whole region, and conserves energy (AK + AU = 0). Hint: Recall the potential energy of a charged particle. 2.) Prepare a diagram of the position of charged particle in a magnetic field Ę, travelling at velocity ✓ perpendicular...
All of 10 questions, please. 1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
1. A car accelerates from zero to 105 km/h in 5.21 s. What is its average...
1. A car accelerates from zero to 105 km/h in 5.21 s. What is its average acceleration in km/h/s and m/s? 2. An object moving in the x-direction has a position described by the function x(t) - 6.30t + 8.70t2, where t is in seconds and x is in meters. What is the acceleration as a function of time? The figure shows the graph of v vs t for the motion of a motorcyle that starts from rest and moves...
Problem 2. (10 points) A projectile is fired from a cannon with an initial velocity of 100 ft/s at a 30° angle above the horizon. Ignoring air resistance, determine the approximate distance that the projectile hits the ground (in feet) from the cannon based upon flat terrain.
Example 4.3 A Bull's-Eye Every Time In a popular lecture demonstration, a projectile is fired at a target in such a way that the projectile leaves the gun at the same time the target is dropped from rest. Show that if the gun is initially aimed at the stationary target, the projectile hits the falling target as shown in figure (a). The velocity of the projectile (red arrows) changes in direction and magnitude, but its acceleration (purple arrows) remains constant....
1. 2.
Please answer both questions.
A projectile is fired up into the air at a speed of 127 m/s at an angle of 38° relative to the horizontal. Ignore air drag A.) Determine the MAXIMUM HEIGHT (above where it was thrown) the projectile will reach X Dimensionally incorrect. Please check the type or dimension of your unit B.) Determine how LONG the projectile will be in the air. Assume it lands at the same height it was launched. C.)Assuming...
1. A particle of mass m and charge q is dropped from height of 3h above the ground. The particle starts from rest and its starting position is (x, y) (0,3h). At height 2h, the particle enters a uniform electric field of magnitude E pointing in the negative r direction. The magnitude of the force on the particle due to the electric field is qE. The particle exits the electric field at height h. A cup is placed at position...
(a3, y3,4z3). Let Si be the disk in the 12. Consider the vector field in space given by F(x, y, z) xy-plan described by x2 + y2 < 4, z = 0; and let S2 be the upper half of the paraboloid given by z 4 y2, z 2 0. Both Si and S2 are oriented upwards. Let E be the solid region enclosed by S1 and S2 (a) Evaluate the flux integral FdS (b) Calculate div F div F...
Please help with Q1 a)b)c).
Question 1: In the lectures we considered simple projectile motion. Here we extend the description to include air resistance. For macroscopic objects in air, the dynamics equations including air resistance may be written V and ^- where m is the mass of the object, g is the acceleration due to gravity, y is the vertical direction, C is a dimensionless drag coefficient, A is the cross-sectional area of the object, pa 1.2kg/m3 is the density...
AHHA Summing Up PART A: NEWTON'S CANNON 1. Acannonball dropped from a cliff will fall straight down and hit the surface of the Earth. How could the cannonball be made to orbit the Earth instead? waHTRo Based on your experience with the simulation, which do you think is more common: circular orbits or noncircular elliptical orbits? Defend your answer 2. PART B: HARMONY OF THE WORLDS 3. Use the following method to determine the relationship between the orbital radius of...
1.) The method to bring the electrons to a specific velocity Ŭ is described in the intro- duction. Determine the exiting velocity of the electrons as it leaves the accelerating voltage AV region. Assume the electron starts from rest, travels the whole region, and conserves energy (AK + AU = 0). Hint: Recall the potential energy of a charged particle. 2.) Prepare a diagram of the position of charged particle in a magnetic field Ę, travelling at velocity ✓ perpendicular...
All of 10 questions, please.
1. Find and classify all the critical points of the function. f(x,y) - x2(y - 2) - y2 » 2. Evaluate the integral. 3. Determine the volume of the solid that is inside the cylinder x2 + y2- 16 below z-2x2 + 2y2 and above the xy - plane. 4. Determine the surface area of the portion of 2x + 3y + 6z - 9 that is in the 1st octant. » 5. Evaluate JSxz...
1. A car accelerates from zero to 105 km/h in 5.21 s. What is its average acceleration in km/h/s and m/s? 2. An object moving in the x-direction has a position described by the function x(t) - 6.30t + 8.70t2, where t is in seconds and x is in meters. What is the acceleration as a function of time? The figure shows the graph of v vs t for the motion of a motorcyle that starts from rest and moves...
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