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Physics Semester I

Physics Semester I . Final Review. ConcepTest 3.2a Vector Components I. 1) it doubles 2) it increases, but by less than double 3) it does not change 4) it is reduced by half 5) it decreases, but not as much as half.

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Physics Semester I

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  1. Physics Semester I Final Review

  2. ConcepTest 3.2a Vector Components I 1) it doubles 2) it increases, but by less than double 3) it does not change 4) it is reduced by half 5) it decreases, but not as much as half If each component of a vector is doubled, what happens to the angle of that vector?

  3. ConcepTest 3.2a Vector Components I 1) it doubles 2) it increases, but by less than double 3) it does not change 4) it is reduced by half 5) it decreases, but not as much as half If each component of a vector is doubled, what happens to the angle of that vector? The magnitude of the vector clearly doubles if each of its components is doubled. But the angle of the vector is given by tan q = 2y/2x, which is the same as tan q = y/x (the original angle). Follow-up: If you double one component and not the other, how would the angle change?

  4. ConcepTest 3.4a Firing Balls I A small cart is rolling at constant velocity on a flat track. It fires a ball straight up into the air as it moves. After it is fired, what happens to the ball? 1) it depends on how fast the cart is moving 2) it falls behind the cart 3) it falls in front of the cart 4) it falls right back into the cart 5) it remains at rest

  5. ConcepTest 3.4a Firing Balls I when viewed from train when viewed from ground 1) it depends on how fast the cart is moving 2) it falls behind the cart 3) it falls in front of the cart 4) it falls right back into the cart 5) it remains at rest A small cart is rolling at constant velocity on a flat track. It fires a ball straight up into the air as it moves. After it is fired, what happens to the ball? In the frame of reference of the cart, the ball only has a vertical component of velocity. So it goes up and comes back down. To a ground observer, both the cart and the ball have the same horizontal velocity, so the ball still returns into the cart.

  6. ConcepTest 3.4b Firing Balls II Now the cart is being pulled along a horizontal track by an external force (a weight hanging over the table edge) and accelerating. It fires a ball straight out of the cannon as it moves. After it is fired, what happens to the ball? 1) it depends upon how much the track is tilted 2) it falls behind the cart 3) it falls in front of the cart 4) it falls right back into the cart 5) it remains at rest

  7. ConcepTest 3.4b Firing Balls II Now the cart is being pulled along a horizontal track by an external force (a weight hanging over the table edge) and accelerating. It fires a ball straight out of the cannon as it moves. After it is fired, what happens to the ball? 1) it depends upon how much the track is tilted 2) it falls behind the cart 3) it falls in front of the cart 4) it falls right back into the cart 5) it remains at rest Now the acceleration of the cart is completely unrelated to the ball. In fact, the ball does not have any horizontal acceleration at all (just like the first question), so it will lag behind the accelerating cart once it is shot out of the cannon.

  8. ConcepTest 3.4c Firing Balls III The same small cart is now rolling down an inclined track and accelerating. It fires a ball straight out of the cannon as it moves. After it is fired, what happens to the ball? 1) it depends upon how much the track is tilted 2) it falls behind the cart 3) it falls in front of the cart 4) it falls right back into the cart 5) it remains at rest

  9. ConcepTest 3.4c Firing Balls III The same small cart is now rolling down an inclined track and accelerating. It fires a ball straight out of the cannon as it moves. After it is fired, what happens to the ball? 1) it depends upon how much the track is tilted 2) it falls behind the cart 3) it falls in front of the cart 4) it falls right back into the cart 5) it remains at rest Because the track is inclined, the cart accelerates. However, the ball has thesame component of accelerationalong the track as the cart does! This is essentially the component ofgacting parallel to the inclined track. So the ball is effectively accelerating down the incline, just as the cart is, and it falls back into the cart.

  10. ConcepTest 3.5 Dropping a Package 1) quickly lag behind the plane while falling 2) remain vertically under the plane while falling 3) move ahead of the plane while falling 4) not fall at all You drop a package from a plane flying at constant speed in a straight line. Without air resistance, the package will:

  11. ConcepTest 3.5 Dropping a Package 1) quickly lag behind the plane while falling 2) remain vertically under the plane while falling 3) move ahead of the plane while falling 4) not fall at all You drop a package from a plane flying at constant speed in a straight line. Without air resistance, the package will: Both the plane and the package have the samehorizontalvelocity at the moment of release. They will maintain this velocity in the x-direction, so they stay aligned. Follow-up: What would happen if air resistance were present?

  12. ConcepTest 3.6a Dropping the Ball I 1) the “dropped” ball 2) the “fired” ball 3) they both hit at the same time 4) it depends on how hard the ball was fired 5) it depends on the initial height From the sameheight (and at the sametime), one ball is dropped and another ball is fired horizontally. Which one will hit the ground first?

  13. ConcepTest 3.6a Dropping the Ball I 1) the “dropped” ball 2) the “fired” ball 3) they both hit at the same time 4) it depends on how hard the ball was fired 5) it depends on the initial height From the sameheight (and at the sametime), one ball is dropped and another ball is fired horizontally. Which one will hit the ground first? Both of the balls are falling vertically under the influence of gravity. They both fall from the same height.Therefore, they will hit the ground at the same time. The fact that one is moving horizontally is irrelevant – remember that the x and y motions are completely independent !! Follow-up: Is that also true if there is air resistance?

  14. In the previous problem, which ball has the greater velocity at ground level? ConcepTest 3.6b Dropping the Ball II 1) the “dropped” ball 2) the “fired” ball 3) neither – they both have the same velocity on impact 4) it depends on how hard the ball was thrown

  15. ConcepTest 3.6b Dropping the Ball II 1) the “dropped” ball 2) the “fired” ball 3) neither – they both have the same velocity on impact 4) it depends on how hard the ball was thrown In the previous problem, which ball has the greater velocity at ground level? Both balls have the same vertical velocity when they hit the ground (since they are both acted on by gravity for the same time). However, the “fired” ball also has a horizontal velocity. When you add the two components vectorially, the “fired” ball has a larger net velocity when it hits the ground. Follow-up: What would you have to do to have them both reach the same final velocity at ground level?

  16. ConcepTest 3.6c Dropping the Ball III A projectile is launched from the ground at an angle of 30o. At what point in its trajectory does this projectile have the least speed? 1) just after it is launched 2) at the highest point in its flight 3) just before it hits the ground 4) halfway between the ground and the highest point 5) speed is always constant

  17. ConcepTest 3.6c Dropping the Ball III 1) just after it is launched 2) at the highest point in its flight 3) just before it hits the ground 4) halfway between the ground and the highest point 5) speed is always constant A projectile is launched from the ground at an angle of 30o. At what point in its trajectory does this projectile have the least speed? The speed is smallest at the highest point of its flight path because the y-component of the velocity is zero.

  18. A book is lying at rest on a table. The book will remain there at rest because: ConcepTest 4.1aNewton’s First Law I 1) there is a net force but the book has too much inertia 2) there are no forces acting on it at all 3) it does move, but too slowly to be seen 4) there is no net force on the book 5) there is a net force, but the book is too heavy to move

  19. ConcepTest 4.1aNewton’s First Law I 1) there is a net force but the book has too much inertia 2) there are no forces acting on it at all 3) it does move, but too slowly to be seen 4) there is no net force on the book 5) there is a net force, but the book is too heavy to move A book is lying at rest on a table. The book will remain there at rest because: There are forces acting on the book, but the only forces acting are in the y-direction. Gravity acts downward, but the table exerts an upward force that is equally strong, so the two forces cancel, leaving no net force.

  20. ConcepTest 4.1bNewton’s First Law II A hockey puck slides on ice at constant velocity. What is the net force acting on the puck? 1) more than its weight 2) equal to its weight 3) less than its weight but more than zero 4) depends on the speed of the puck 5) zero

  21. ConcepTest 4.1bNewton’s First Law II 1) more than its weight 2) equal to its weight 3) less than its weight but more than zero 4) depends on the speed of the puck 5) zero A hockey puck slides on ice at constant velocity. What is the net force acting on the puck? The puck is moving at a constant velocity, and therefore it is not accelerating. Thus, there must be no net forceacting on the puck. Follow-up: Are there any forces acting on the puck? What are they?

  22. ConcepTest 4.7aGravity and Weight I 1) Fg is greater on the feather 2) Fg is greater on the stone 3) Fg is zero on both due to vacuum 4) Fg is equal on both always 5) Fg is zero on both always What can you say about the force of gravity Fg acting on a stone and a feather?

  23. ConcepTest 4.7aGravity and Weight I 1) Fg is greater on the feather 2) Fg is greater on the stone 3) Fg is zero on both due to vacuum 4) Fg is equal on both always 5) Fg is zero on both always What can you say about the force of gravity Fg acting on a stone and a feather? The force of gravity (weight) depends on the mass of the object!! The stone has more mass, therefore more weight.

  24. ConcepTest 4.7bGravity and Weight II 1) it is greater on the feather 2) it is greater on the stone 3) it is zero on both due to vacuum 4) it is equal on both always 5) it is zero on both always What can you say about the acceleration of gravity acting on the stone and the feather?

  25. ConcepTest 4.7bGravity and Weight II 1) it is greater on the feather 2) it is greater on the stone 3) it is zero on both due to vacuum 4) it is equal on both always 5) it is zero on both always What can you say about the acceleration of gravity acting on the stone and the feather? The acceleration is given by F/m so here the mass divides out. Since we know that the force of gravity (weight) is mg, then we end up with acceleration g for both objects. Follow-up: Which one hits the bottom first?

  26. ConcepTest 4.9aGoing Up I v m 1) N > mg 2) N = mg 3) N < mg (but not zero) 4) N = 0 5) depends on the size of the elevator A block of mass m rests on the floor of an elevator that is moving upward at constant speed. What is the relationship between the force due to gravity and the normal force on the block?

  27. ConcepTest 4.9aGoing Up I v m 1) N > mg 2) N = mg 3) N < mg (but not zero) 4) N = 0 5) depends on the size of the elevator A block of mass m rests on the floor of an elevator that is moving upward at constant speed. What is the relationship between the force due to gravity and the normal force on the block? The block is moving at constant speed, so it must have no net forceon it. The forces on it are N (up) and mg (down), so N = mg, just like the block at rest on a table.

  28. a m ConcepTest 4.9bGoing Up II A block of mass m rests on the floor of an elevator that is accelerating upward. What is the relationship between the force due to gravity and the normal force on the block? 1) N > mg 2) N = mg 3) N < mg (but not zero) 4) N = 0 5) depends on the size of the elevator

  29. ConcepTest 4.9bGoing Up II N a > 0 m mg 1) N > mg 2) N = mg 3) N < mg (but not zero) 4) N = 0 5) depends on the size of the elevator A block of mass m rests on the floor of an elevator that is accelerating upward. What is the relationship between the force due to gravity and the normal force on the block? The block is accelerating upward, so it must have a net upward force. The forces on it are N (up) and mg (down), so N must be greater than mg in order to give the net upward force! S F = N–mg = ma > 0 \N > mg Follow-up: What is the normal force if the elevator is in free fall downward?

  30. ConcepTest 4.10Normal Force Case 1 Case 2 1) case 1 2) case 2 3) it’s the same for both 4) depends on the magnitude of the force F 5) depends on the ice surface Below you see two cases: a physics student pulling or pushing a sled with a force F which is applied at an angle q. In which case is the normal force greater?

  31. ConcepTest 4.10Normal Force Case 1 Case 2 1) case 1 2) case 2 3) it’s the same for both 4) depends on the magnitude of the force F 5) depends on the ice surface Below you see two cases: a physics student pulling or pushing a sled with a force F which is applied at an angle q. In which case is the normal force greater? In Case 1, the force F is pushing down (in addition to mg), so the normal force needs to be larger. In Case 2, the force F is pulling up, against gravity, so the normal force is lessened.

  32. ConcepTest 4.11On an Incline A B 1) case A 2) case B 3) both the same (N = mg) 4) both the same (0 < N < mg) 5) both the same (N = 0) Consider two identical blocks, one resting on a flat surface and the other resting on an incline. For which case is the normal force greater?

  33. ConcepTest 4.11On an Incline A B 1) case A 2) case B 3) both the same (N = mg) 4) both the same (0 < N < mg) 5) both the same (N = 0) Consider two identical blocks, one resting on a flat surface and the other resting on an incline. For which case is the normal force greater? In Case A, we know that N = W. In Case B, due to the angle of the incline, N < W. In fact, we can see that N = W cos(q). y x N f q Wy W q

  34. ConcepTest 4.12Climbing the Rope 1) this slows your initial velocity, which is already upward 2) you don’t go up, you’re too heavy 3) you’re not really pulling down – it just seems that way 4) the rope actually pulls you up 5) you are pulling the ceiling down When you climb up a rope, the first thing you do is pull down on the rope. How do you manage to go up the rope by doing that??

  35. ConcepTest 4.12Climbing the Rope 1) this slows your initial velocity, which is already upward 2) you don’t go up, you’re too heavy 3) you’re not really pulling down – it just seems that way 4) the rope actually pulls you up 5) you are pulling the ceiling down When you climb up a rope, the first thing you do is pull down on the rope. How do you manage to go up the rope by doing that?? When you pull down on the rope, the rope pulls up on you!! It is actually this upward force by the rope that makes you move up! This is the “reaction” force (by the rope on you) to the force that you exerted on the rope. And voilá, this is Newton’s Third Law.

  36. ConcepTest 4.14aCollision Course I 1) the car 2) the truck 3) both the same 4) it depends on the velocity of each 5) it depends on the mass of each A small car collides with a large truck. Which experiences the greater impact force?

  37. ConcepTest 4.14aCollision Course I 1) the car 2) the truck 3) both the same 4) it depends on the velocity of each 5) it depends on the mass of each A small car collides with a large truck. Which experiences the greater impact force? According to Newton’s Third Law, both vehicles experience the same magnitude of force.

  38. ConcepTest 4.14bCollision Course II 1) the car 2) the truck 3) both the same 4) it depends on the velocity of each 5) it depends on the mass of each In the collision between the car and the truck, which has the greater acceleration?

  39. ConcepTest 4.14bCollision Course II 1) the car 2) the truck 3) both the same 4) it depends on the velocity of each 5) it depends on the mass of each In the collision between the car and the truck, which has the greater acceleration? We have seen that both vehicles experience the same magnitude of force. But the acceleration is given byF/mso thecarhas thelarger acceleration, since it has thesmaller mass.

  40. ConcepTest 4.21Going Sledding 1 2 1) pushing her from behind 2) pulling her from the front 3) both are equivalent 4) it is impossible to move the sled 5) tell her to get out and walk Your little sister wants you to give her a ride on her sled. On level ground, what is the easiest way to accomplish this?

  41. ConcepTest 4.21Going Sledding 1 2 1) pushing her from behind 2) pulling her from the front 3) both are equivalent 4) it is impossible to move the sled 5) tell her to get out and walk Your little sister wants you to give her a ride on her sled. On level ground, what is the easiest way to accomplish this? In Case 1, the force F is pushing down (in addition to mg), so the normal force is larger. In Case 2, the force F is pulling up, against gravity, so the normal force is lessened. Recall that the frictional force is proportional to the normal force.

  42. ConcepTest 4.22Will it Budge? Static friction(ms= 0.4) T m 1) moves to the left 2) moves to the right 3) moves up 4) moves down 5) the box does not move A box of weight 100 N is at rest on a floor where ms = 0.5. A rope is attached to the box and pulled horizontally with tension T = 30 N. Which way does the box move?

  43. ConcepTest 4.22Will it Budge? Static friction(ms= 0.4) T m 1) moves to the left 2) moves to the right 3) moves up 4) moves down 5) the box does not move A box of weight 100 N is at rest on a floor where ms = 0.5. A rope is attached to the box and pulled horizontally with tension T = 30 N. Which way does the box move? The static friction force has a maximum of msN = 40 N. The tension in the rope is only30 N. So the pulling force is not big enough to overcome friction. Follow-up: What happens if the tension is 35 N? What about 45 N?

  44. ConcepTest 4.23aSliding Down I Normal Net Force Weight 1) component of the gravity force parallel to the plane increased 2) coeff. of static friction decreased 3) normal force exerted by the board decreased 4) both #1 and #3 5) all of #1, #2 and #3 A box sits on a flat board. You lift one end of the board, making an angle with the floor. As you increase the angle, the box will eventually begin to slide down. Why?

  45. ConcepTest 4.23aSliding Down I Normal Net Force Weight 1) component of the gravity force parallel to the plane increased 2) coeff. of static friction decreased 3) normal force exerted by the board decreased 4) both #1 and #3 5) all of #1, #2 and #3 A box sits on a flat board. You lift one end of the board, making an angle with the floor. As you increase the angle, the box will eventually begin to slide down. Why? • As the angle increases, the component of weight parallel to the plane increases and the component perpendicular to the plane decreases (and so does the normal force). Since friction depends on normal force, we see that the friction force gets smaller and the force pulling the box down the plane gets bigger.

  46. ConcepTest 5.1To Work or Not to Work Is it possible to do work on an object that remains at rest? 1) yes 2) no

  47. ConcepTest 5.1To Work or Not to Work Is it possible to do work on an object that remains at rest? 1) yes 2) no Work requires that a force acts over a distance. If an object does not move at all, there is no displacement, and therefore no work done.

  48. ConcepTest 5.2aFriction and Work I A box is being pulled across a rough floor at a constant speed. What can you say about the work done by friction? 1) friction does no work at all 2) friction does negative work 3) friction does positive work

  49. displacement N Pull f mg ConcepTest 5.2aFriction and Work I 1) friction does no work at all 2) friction does negative work 3) friction does positive work A box is being pulled across a rough floor at a constant speed. What can you say about the work done by friction? Friction acts in the opposite direction to the displacement, so the work is negative. Or using the definition of work (W = F d cos q ), since = 180o, thenW < 0.

  50. ConcepTest 5.2bFriction and Work II Can friction ever do positive work? 1) yes 2) no

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