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207 questions
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1
A) Yes, because the final velocity of the cart is equal to the initial velocity.

2
A) 4m/s²

3
Less than 2m/s because the cart is traveling at a speed of 2m/s or less during the time interval.

4
B)\frac{2v_{A}}{a_{B}}


5
-20 m/s

6
The transition between intervals B and C

7
The cart is moving left with speed 0.5 cm/s

8
a1 > a2 >0

9
The car speeds up at a constant rate.

10
The passenger is stationary relative to the shore because the boat is moving at 5 m/s relative to the shore and the passenger is moving at 5 m/s relative to the boat in the opposite direction.

11
v2 = 2v0


12
change in x times v over w


13
Cart 1

14
25 m

15


16


17










t

Yes, because the initial vertical components of the velocity are the same for both marbles.

ve , because the ball on the Moon achieves a smaller vertical component of velocity before reaching the ground

Case 1, because the toy has a greater displacement

Projectile 2, because it will have a smaller initial vertical velocity

Yes, because according to the stationary observer, the student’s velocity is the velocity of the bus plus the velocity of the student relative to the bus.

Yes, because both observers are in inertial reference frames.

6 m/s



8.4 seconds



B


10 m/s to the east

The velocity and acceleration are both in the -x direction

Displacement

1 unit, because in one dimension vectors with opposite directions have opposite signs.

C


A < B and the vectors have opposite directions.


D) Different Different

The claim is correct, because the vectors M and N could be in opposite directions.

v1 + v0 to the left

Car C

No, because the vectors are in opposite directions, which means the velocities are different.

C > B > A

m(g-a)



FA= FB, because both elevators are traveling with a constant speed.

To the left

10 cm

dL > dR

C

Moves to the left by an amount less than delta x

1.7 m





10 cm






Yes, because centripetal force increases proportional to the square of the speed.



No, because the cart has both a tangential acceleration parallel to the track and a centripetal acceleration perpendicular to the track.







At the topmost point, because the tension force and gravitational force are both directed toward the center of the ball’s motion.

It decreases.

Yes, because the person and the step create an interacting force pair.



10 N

To the right, because it will balance the leftward component of the force from the string



No, because the vertical components of the forces do not completely add to zero.

The vertical forces are unbalanced.



2 N

Because distance scales near Earth’s surface are very small compared to Earth’s radius.

The scale reading is between 0.95 N and 1.05 N, because the height of the mountain is negligible compared to the radius of the earth.

16 F

2g









F to the right

7L/4


miu k is nearly equal to miu s

10.4 N



0.35


d1 = d2

No, because there is a downward net force on the astronaut.

The tension must be equal to 5N



The velocity of the box changes because the sum of the horizontal components of the forces no longer equals zero.

D Decreasing And Increasing downward


The puck will slide with a constant velocity.





The center of mass does not accelerate.