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Chapter 81: Answer Key

- We need x 2 to double.

- The projectile will not go as high if it is launched at a 30deg angle.
- Mass doesn't enter into projectile motion problems.

- There will be shorter ranges above or below.

- We must subtract x from the answer since the release point is above the starting point.

- When calculating the slope, k will be the one.
- When F is applied to the spring, the extension of the spring is x.

- The opposing force is indicated by the negative sign.
- The value of g is irrelevant because weight is not needed in this calculation.

- 3 joules are lost.

- The inverse relationship is shown in Graph B.

- It is possible to make a lessconductive material shorter and fatter by making it equal in resistance to a moreconductive material.

- The lever arm is also involved in Torque.
- The net Torque might still be zero despite having a nonzero net force.

- The correct answer can be found by knowing that the net force must be down and that the car must be pushing upward on the passenger.

- The force is tripled by tripling Q 1.
- The force is weakened 9 times by tripping r.

- The moment of inertia has not changed and the angular acceleration must be larger for the 75rpm record.
- The Torque supplied must be larger.

- Both will hit the ground with the same joules of energy since they both start at the same height.
- The same energy means the same speed.
- This doesn't mean that the components of velocity are the same.
- The magnitudes of the final velocities are not the same.

- It's not possible to say if the time in flight is extended because you don't know the exact speed of the launch.

- The work done by gravity is the same.

- Centripetal forces must be directed inward.
- Imagine the path the car would take on the track.

- The forces are not the same.

- The force is made weaker by doubling r.

- The velocity value can be any number.

- Half the mass means half the g. Half the r is 4 x g.

- Moment of inertia can be caused by Torques.

- The passengers continue forward until a force is brought to bear on them.

- No net force means no acceleration.
- The weight of the opposing weight must be the same as the weight of the opposing weight.

- The change in velocity will be the same.

- Her momentum is conserved since no external Torques are involved in drawing her arms inward.

- The speed is 1 m/s 2.
- The 3 forces would add up to zero if they were not in the same direction.

- The voltage drop for both R 1 and R 2 is the same.
- An ideal ammeter has no resistance and thus does not experience a voltage drop.

- The value doesn't change due to location or acceleration.
- The interaction of the person's mass and the planet on which he or she is standing is what causes girtational weight.
- As you get higher above sea level, the differences within a building on Earth are insignificant.
- The changing values of the normal force explain the changes the person would experience on the elevator ride.

- The normal force would be zero and the downward mg would be the only force.
- The person would feel lighter.
- Since the car was on the way up, both passenger and elevator would maintain the same relative speed to each other as they continued upward, slowed down, and then reversed direction and continued to speed up while falling.
- The passenger felt weightless the entire time.

- The range should be measured from beneath the edge of the table to where the mass first hits the ground.
- The average range of values can be determined by taking multiple trials for each compression x.

- The compression x is the independent variable.
- Changes in the independent variable affect the dependent variable.
- The range is the dependent variable.
- The variables are plotted on the axis.

- This is the horizontal projectile's speed.

- This error will be minimized if the distance is small and the surfaces are smooth.

- The discontinuity is most likely caused by exceeding the elasticity limit.

- The second car must have a larger speed.
- As time to catch up gets smaller, the difference between the two accelerations must increase.
- There is no upper limit on how fast a car can go.

- For the second car to catch up with the lead car within the first 10 seconds, the second car must accelerate at least 1.5 m/s 2 faster than the first car.

- The first car has a slope of x while the second car has a slope of y.
- Since y > x, one can see that neither the instantaneous nor the average slope of either of these plots is the same.

- The second car will cover more ground for the rest of the trip.

- There is no upper bound on the difference in distance.

- As the second car had more speed, more work was done to move it.
- Greater force is achieved by greater acceleration with the same mass.

- The direction of the momentum needs to be changed.

- During impact, equal and opposite impulses are delivered to the probe.

- The difference in field strength is so small that it's reasonable to treat g as a constant acceleration.

- One would expect a greater deviance on the Moon since 200 meters is a larger fraction of the Moon's radius.

- Since the direction of the forces is not taken into account, this solution is nonphysical.

- If you have one of the two answers correct, the questions will be graded as completely correct (1 point) or incorrect (0 points).

- Any correct responses within an individual free-response question will be awarded partial credit.

- The guidelines above are based on the scores from the past AP Physics 1 exams.
- The actual score ranges are determined by the College Board each year.
- The ranges shown are approximations.

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