Position x of an object is given as function of time t by x = 8 + 4t - 6t³. What is the max positive velocity attained by the object?
Front
A
4 m/s
Back
A small rock is launched straight upward from the surface of a planet with no atmosphere. The initial speed of the rock is twice the escape speed Ve of the rock from the planet. If gravitational effects from other objects are negligible, the speed of the rock at a very great distance from the planet will approach a value of
Front
E
sqrt( 3)Ve
Back
[A wheel of mass m, with rotational inertia I and radius r, rotates with an angular speed ω about an axis through its center. A retarding force F is applied tangentially to rim of the wheel.]
Which of the following is equal to the magnitutde of the angular acceleration of the wheel?
Front
B
Fr/I
Back
a 2kg block is initially at rest on a horizontal frictionless table. a force of 15N is then exerted on the block at an angle of 37* to the horizontal
Front
C
36J
Back
Object A of mass M is moving east at speed v. It collides with object B of mass 2M that was initially at rest. The motion of both before and after collision is along same line. After collision, A is moving west at speed v/3. What is speed of object B immediately after collision?
Front
C
2v/3
Back
the magnitude of the force exerted on the block by the table is most nearly
Front
C
29N
Back
A boat moves across a river. The river's velocity relative to the land is Vrl, and the boat's velocity relative to the river is Vbr. Which represents the velocity of the boat relative to the land?
Front
A
Vbr + Vrl
Back
Two balls, A and B, have same mass and diameter but different types of rubber. Balls are dropped from same height above floor. After colliding with floor, A bounces higher than B. Which quantity must be larger for A than B?
Front
C
impulse exerted by the floor
Back
[A wheel of mass m, with rotational inertia I and radius r, rotates with an angular speed ω about an axis through its center. A retarding force F is applied tangentially to rim of the wheel.]
Retarding force F finally stops the rotation. Which represents the total reduction in mechanical energy in process of stopping the wheel?
Front
E
(1/2)Iω²
Back
The acceleration due to gravity on the surface of the Moon is about 1/6 of that on the surface of Earth. An astronaut weighs 600N on Earth. An astronaut's mass on the Moon is most nearly...
Front
D
60kg
Back
Consider Earth to be stationary, and the Moon as orbiting Earth in a circle of radius R. If the masses of Earth and the Moon are Me and Mm, which best represents the total mechanical energy of the Earth-Moon system?
Front
C
-GMeMm/2R
Back
Identical blocks 1 and 2 start from rest at height h and travel down two differently shaped tracks onto identical rough horizontal surfaces, as shown in [figure]. Both tracks are frictionless, and both blocks make a smooth transition onto the rough horizontal surfaces. Block 1 comes to rest at horizontal distance d1 from the bottom of track. Which of the following best describes and explains the horizontal distance d2 that block 2 travels before coming to rest?
Front
D
d2 = d1, because blocks start at the same height
Back
which of the following statements must be true for a falling object that has been dropped from rest near the surface of Earth?
Front
E
speed increased by 9.8 m/s during each second
Back
[The [figure] shows force F exerted on a 2kg object as a function of distance d. At rest at d = 0 and travels on a horizontal, frictionless surface along the line of action of the force.]
The kinetic energy of the 2kg object when d = 20 is the same as when d is most nearly...
Front
B
5m
Back
Two spheres of uniform density are located a distance L apart, as shown in the figure. Left sphere mass is M1, right sphere mass is M2. Center of mass of the two spheres is point P. Correct expression for the distance from point P to center of left sphere?
Front
D
[m2 / (m1 + m2)]L
Back
Which of the following best represents the minimum coefficient of static friction required for the race car to continue to follow the circular path shown? [figure]
Front
D
v²/Rg
Back
At t = 0, a ball is thrown with initial speed v0 at angle θ above horizontal. Air resistance is negligible. Which of the following best represents speed of the ball as a function of time t while in flight?
Front
C
sqrt(v²cos²0 + (vsin0 - gt)²)
Back
Potential energy U as a function of position x is given by U(x) = -400/x. Object released from rest at x = 30m and is free to move on x-axis. WHen object has moved 10m from initial x, magnitude of force associated with this potential energy function is
Front
D
1.0N
Back
[figure] A small sphere hangs from a string attached to the ceiling of a uniformly accelerating train car. it is observed that the string makes an angle of 37* with respect to the vertica. magnitude of the acceleration a of the train car is most nearly
Front
B
7.5 m/s²
Back
In an experiment, two blocks of different roughness are placed on the same rough wooden board. [table] shows mass, area, and coefficient of friction. Experiment begins with block horizontal. One end of board is slowly raised. Which identifies the block that will start sliding down first and why?
Front
B
Block 1 because coefficient of friction is smaller
Back
A block of mass m is attached to a spring and placed on an inclined plane. The spring has a spring constant k and there is negligible fricition between the block and plane. The block is released from rest and the position shown in the [figure] with the spring unstretched. What distance d does the block slide down the plane before coming to rest?
Front
D
2mgsinθ/k
Back
Three blocks of masses m, 3m, and 2m resting on a frictionless horizontal surface are connected to identical springs, as shown in [figure]. Force F directed to left is then applied to left end of spring A. Which spring is stretched the most when blocks are all moving with same acceleration?
Front
A
(A)
Back
A ball is kicked from the ground with an initial speed Vo at a an angle θ above the horizontal. Which best describes the magnitudes of the velocity and acceleration of the ball when it reaches the highest point of its trajectory?
Front
D
Vocostθ & 9.8 m/s²
Back
A horizontal uniform plank is supported by ropes I and II at points P and Q, respectively, as shown in [figure]. The two ropes have negligible mass. Tension in rope I is 150N. The point at which rope II is attached ot the plank is now moved to point R halfway between Q and C, the center of the plank. The plank remains horizontal. Which of the follow are most nearly the new tensions of the two ropes?
Front
B
100N & 200N
Back
An equation for motion is 2vt - 4x = Bt², where B is a constant. The variable v indicates velocity, in meters per second; t indicates time, in seconds; and x indicates displacement, in meters, What is the unit measure for B?
Front
C
m/s²
Back
A wheel radius R is fixed to axle of radius R/3 and rotates at constant angular speed ω, as shown in the figure. A force of magnitude F1 is applied tangent to outer edge of wheel. Second force F2 is applied tangent to edge of axle to keep wheel rotating at constant angular speed ω. F2 is equal to..
Front
D
3F
Back
[The [figure] shows force F exerted on a 2kg object as a function of distance d. At rest at d = 0 and travels on a horizontal, frictionless surface along the line of action of the force.]
The work done on the object by the force F during the first 10m of travel is most nearly
Front
D
75J
Back
A 5.0kg object suspended on a string oscillates such that its position x as a function of time t is given the equation x(t) = Acost(ωt), where A = 0.80m and ω = 2.0 s^-1. What is the magnitude of the maximum net force on the object during the motion?
Front
E
16.0N
Back
[figure] the position x as a function of time t for an object moving in a straight line is shown in the graph above. which of the following best describes the object's speed and direction of motion during the time interval shown?
Front
A
decreasing & positive
Back
Planet X has a mass M, radius R, and no atmosphere. An object of mass m is located 2R above the surface of planet X, as shown in the [figure]. The object is released from rest and falls to the surface of the planet. What is the speed of the object just before it reaches planet X?
Front
B
sqrt(4GM/3R)
Back
A student pushes a box across a rough horizontal floor. If work done by the student on the box is 100J and energy dissipated by friction is 40J, what is the change in kinetic energy of the box?
Front
C
60J
Back
An airplane travels horizontally at a constant velocity v. An object is dropped from plane and one second later another object is dropped. If air resistance is negligible, what happens to the vertical distance between the two objects while both are falling?
Front
A
It increases
Back
A projectile is launched with a speed of 40 m/s at an angle of 30* above the horizontal, as shown in [figure]. The projectile lands on a plateau 3s later. the height delta y of the plateau is most nearly.
Front
A
15m
Back
The car is now going around a banked curve, as shown in the [figure]. Banked curve is higher toward outside of the circular turn. The car can now travel at a higher speed without sliding because the banked curve
Front
C
allows a component of weight of car to point toward center of track
Back
the force F exerted on a ball during a collision with a wall is given as a function of time t by the equation F(t)=at-Bt², where a=400N/s and B=4000N/s². the ball first contacts the wall at t=0, and the collision lasts for 0.10s. What is the momentum of the ball?