If a car, initially at rest, accelerates forward at 6 m/s2, the velocity of the car at 12 seconds is defined by this number.
72 m/s
This law states that in an ideal situation all forms of energy do not change.
The Law of Conservation of Energy
A 2 kg block travels 4 m/s in the positive x direction towards another 2 kg block which is initially at rest. The blocks create a perfectly elastic collision. The speed of the second block right after the collision is this number.
4 m/s
A 20kg hoop has a 200 N force applied 0.2 m from its center. The radius of the hoop is 0.6 m. The hoop's angular acceleration is defined as this number.
5.56 rad/s2
In centripetal force, the linear velocity directed with respect to the object's motion is defined as...
Tangential to path of motion.
If the velocity of a block is given by v(t)=3t3+6t2+2,
the block's displacement at 4 seconds is defined by this number.
328 m
84000 J
A train car filled with sand is travelling along a frictionless track, when a hole was pierced in the bottom of the cart. The sand starts to pour out; therefore, the speed of the cart as the sand is escaping is defined as...
Increasing in speed.
The moment of inertia of a rod about its center is defined as...
1/12ML2
A 30 N force is being applied 27 degrees to the horizontal on a 2kg block, causing it to slide across a rough surface. Find the force of friction on the block.
20.7 N
A 10 kg penguin is launched off a 20 m tall cliff with a speed of 32 m/s directed 43 degrees above the horizontal. The distance traveled by the penguin in 3 seconds is this number.
70.2 m
If a 12 kg ball is at rest on a 15 m long ramp with a 15 degree incline. The coefficient of kinetic friction is 0.21. The object's speed at the bottom of the ramp is this number.
8.57 m/s
The coordinates of the center of mass of this thin rod are defined as. (show picture).
(15/14,6/7)
A 3kg disk of 0.5 m rotates about its center. A force of 20 N is applied 0.5 m away from the center. Find the translational acceleration of the disk.
13.33 m/s2
Blocks of mass M and m (M>m) are in contact while a force of F is applied to them. In scenario 1, the force is applied on the larger block. In scenario 2, the force is applied on the smaller block. The force of contact be for the 2 block system is defined as this number.
greater for scenario 2
A ball is dropped from rest at 15 m. At the same time, another ball is launched upward at 10 m/s. The time at which the 2 balls pass each other is defined by this number.
1.5 seconds
This graph shows the following concepts about gravitational potential energy. (show graph)
gravitational field strength
A force modeled by F(t)=1/(t+1) is applied to a 2kg object initially at rest. The object's speed at 4 seconds is most nearly...
0.805 m/s
A 60kg worker is sitting 3m above the center of a 10m long ladder which weighs 10kg and is leaning against the wall at 30 degrees. The force that the wall exerts on the system is defined as.
375.7 N
A 15kg penguin is sitting in a vertical ferris wheel of 20 m in diameter, moving at 14 m/s. The net force exerted on the penguin is defined as...
144 N
If a 200 N force is being applied to a 2 kg centripetally rotating freshman at 3 m/s2, the time at which his displacement is 25 radians is this number. Note: He is rotating in a circle of 4 m in diameter.
1 second
The maximum kinetic energy of an oscillating mass of 4 kg while given the equation x=6sin(10t) is this number.
7200 J
A 1500kg train car is moving 6 m/s when it collides and sticks to a 1000kg train which is moving at 2 m/s in the opposite direction. The change in kinetic energy of the system is defined as this number.
-19200 J
Find the acceleration of the two block system. (show diagram).
6.5 m/s2
A 16kg freshman is free falling to earth. A drag force modeled by Fair=-bv (b=4) is exerted on the freshman. Find his terminal velocity.
40 m/s