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,Vectors M and N are parallel to the y-axis. Let a = | M + N | B) The claim is correct, because the vectors M and N could be in opposite
and b = |M| + |N|. A student claims that is possible that directions.
a<b. Which of the following indicates whether the claim is
correct and provides a valid justification?
A person throws a marble straight up into the air, releasing B)
it a short height above the ground and catching it at that
same height. If air resistance is negligible, which of the
following graphs of position y versus time t is correct for
the motion of the marble as it goes up and then comes
down?
In scenarios A, B, and C, shown in the figure, blocks with D) Δx_c > (Δx_a = Δx_b)
the masses indicated are attached to identical vertical
springs. The block in each scenario is slowly lowered until
it reaches equilibrium. Which of the following correctly
ranks the distances Δx_a, Δx_b, and Δx_c that each block
is lowered.
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A student has a calibrated spring scale that measures C) The scale reading is between 0.95N and 1.05N, because the height of the
force with a precision of ±0.05N. At sea level, the student mountain is negligible compared to the radius of the earth.
holds the scale vertically with a 100g object attached to it,
and the scale reads 1.00N. The student then brings the
scale and the object to the top of a 1000m high mountain
and again holds the scale vertically with the 100g object
attached. Which of the following correctly describes the
scale's reading, and provides valid justification for the
claim?
A ball is projected horizontally from a table with height H A) √((D/t1)^2+(gt1)^2)
above the ground. The ball lands after a time t1, hitting the
ground a horizontal distance D away from the edge of the
table, as shown. Which of the following is a correct
expression for the instantaneous speed of the ball
immediately before it reaches the ground?
Three carts are free to move left or right on a horizontal A) Cart 1
track. Each cart experiences a constant acceleration. The
initial and final velocities of each cart are indicated in the
table. Which cart, if any, has a leftward acceleration?
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Two spheres, with masses indicated in the figure, are C) +60 J
connected by a rod with negligible mass. The rod is initially
vertical, as shown on the left. The system is then rotated
about its center until the rod is horizontal, as shown on the
right. What is the total work done by the gravitational force
on the system as it rotates from vertical to horizontal?
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A rock of mass m is thrown horizontally off a building from D) 1/2mv^2 + mgh
a height h, as shown above. The speed of the rock as it
leaves the thrower's hand at the edge of the building is vo
What is the kinetic energy of the rock just before it hits the
ground?
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,A rock of mass m is thrown horizontally off a building from E) √2h/g
a height h, as shown above. The speed of the rock as it
leaves the thrower's hand at the edge of the building is vo
How much time does it take the rock to travel from the
edge of the building to the ground?
Crate 1 of mass m1 is connected to Crate 2 of mass m2 by B) a1=f1/m1 and a_cm= (F-f1-f2)/m1+m2
a string with negligible mass. The crates are on a rough,
horizontal surface. Crate 2 is pulled to the right with
constant acceleration by a force of constant magnitude F.
Crate 1 experiences a friction force f1 and Crate 2
experiences a friction force f2, both of which are less than
F. After a short period of time, the string breaks. The force
F continues to be exerted on Crate 2. Which of the
following are correct expressions for the magnitude a1 of
the acceleration of Crate 1 and the magnitude a_cm of the
acceleration of the two-crate system's center of mass after
the string breaks?
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The graphs above represent the position x, velocity v, and C) Rolling up a ramp and then rolling back down
acceleration a as a function of time t for a marble moving
in one dimension. Which of the following could describe
the motion of the marble?
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inal.png
A block is at rest in equilibrium on a vertical spring, as B) Block-spring-Earth system:
shown. Which of the following could correctly indicate the Gravitational potential energy, spring potential energy
types of energy present in the block-spring-Earth system
and in the block-spring system? Block-spring system:
https://assets.learnosity.com/organisations/578/VR625287. Spring potential energy
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A force is exerted on a block as the block slides across a B) 11 J
horizontal surface. The graph shows the magnitude of the
force as a function of the block's position. The total amount
of work done on the block by the force during the interval
shown in the graph is most nearly
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A force of magnitude F is exerted on a block along a A) √3:1
horizontal surface over a distance d, doing work W1. The
force is exerted at an angle of 30° above horizontal and
there is negligible friction between the block and the
surface. Another force of magnitude F pushes an identical
block along the same surface over a distance d, but the
force is exerted at an angle of 60° above the horizontal.
This second force does work W2. What is the ratio
W1:W2?
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, A heavy, uniform rope hangs from a ceiling and is not long C) F_mid= F_top/2
enough to touch the floor. Which of the following best
compares the magnitude of the tension force in the middle
of the rope, F_mid , to the magnitude of the tension at the
top of the rope near the ceiling, F_top?
A person driving a car suddenly applies the brakes. The B) Yes, by determining the average speed while braking and doubling it.
car takes 4 s to come to rest while traveling 20 m at
constant acceleration. Can the speed of the car
immediately before the brakes were applied be determined
without first determining the car's acceleration?
A block on a horizontal surface is attached to two B) (k1+k2)Δx
horizontal springs, as shown. Both springs are
compressed a distance Δx from their unstretched length
and the block remains at rest due to static friction between
the block and the surface. Which of the following is a
correct expression for the magnitude of the force of static
friction?
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A system consists of two identical blocks connected by a D) There is a net force exerted on the system directed to the right.
rod of negligible mass. At the instant shown, the velocity of
the center of mass is zero and the system has a nonzero
acceleration to the right. Which of the following statements
must be true?
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A block of mass 2.0kg is initially at rest on a horizontal C) 10.4N
surface. The block is pulled a distance of 10m in 3.0s by
an applied force. The coefficients of static and kinetic
friction between the surface and the object are μ_s = 0.45
and μ_k = 0.30, respectively. The magnitude of the applied
force is most nearly
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An asteroid is moving directly toward a planet, as shown in B) ΔE_tot=0; ΔK>0
Figure 1. At a later time, as shown in Figure 2, the asteroid
is closer to the planet and still moving directly toward it.
The change to the planet's velocity is negligible. Which of
the following correctly describe the change in the total
mechanical energy of the asteroid-planet system, ΔE_tot,
and the change in the kinetic energy of the asteroid, ΔK,
between Figure 1 and Figure 2?
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A hypothetical spherical planet of mass M and radius R is B) 2g
made of a uniform substance and has a gravitational field
g at its surface. Suppose eight of these identical planets
collide and combine into a new uniform, spherical planet.
What will the gravitational field on the surface of this new
planet be in terms of g?