Two Dimensional Momentum
Inelastic Glancing Collisions and Center of Mass Problems
1.
Name: _______________________________
A 3.00-kg steel ball strikes a massive wall at 10.0 m/s at an angle of
60.0° with the plane of the wall. It bounces off the wall with the same
speed and angle (Fig. P6.14). If the ball is in contact with the wall for
0.200 s, what is the average force exerted by the wall on the ball?
(sf 6.14)
(2.68 ft)
2.
A 90-kg fullback moving east with a speed of 5.0 m/s is tackled by a 95-kg opponent running north at
3.0 m/s. If the collision is perfectly inelastic, calculate the velocity of the players just after the tackle.
(sf 6.41)
(6.13 m)
3.
An 8.00-kg object moving east at 15.0 m/s on a frictionless horizontal surface collides with a 10.0-kg
object that is initially at rest. After the collision, the 8.00-kg object moves south at 4.00 m/s. What is the
velocity of the 10.0-kg object after the collision?
(sf 6.42) (36.1 m/s at 60.1° below the horizontal)
4.
A 2,000-kg car moving east at 10.0 m/s collides with a 3 000-kg car moving north. The cars stick
together and move as a unit after the collision, at an angle of 40.0° north of east and a speed of 5.22 m/s.
Find the speed of the 3 000-kg car before the collision
(sf 6.43) (12 m/s)
5.
A water molecule consists of an oxygen atom with two hydrogen
atoms bound to it as shown in the figure. The bonds are 0.100 nm in
length, and the angle between the two bonds is 106°. Use the
coordinate axes shown, and determine the location of the center of
gravity of the molecule. Take the mass of an oxygen atom to be 16
times the mass of a hydrogen atom.
(sf 8.8) (7.23 x 103 m, 1.68 x 103 m)
7.
Find the x- and y-coordinates of the center of gravity
of a 4.00-ft by 8.00-ft uniform sheet of plywood with
the upper right quadrant removed as shown in the
figure.
(sf 8.11)
(25 m)