Reference no: EM13957806
For the following problems, the answers are given. Show the calculations to arrive at the correct answers.
1. 1200 kg car moving to the right with a speed of 25m/s collides with a 1500 kg truck and locks bumpers with the truck. Calculate the velocity of the combination after the collision if the truck is initially (a) at rest, (b) moving to the right with a speed 20 m/s, (c) moving to the left with a speed of 20 m/s.
2. A new crowd control method utilizes "rubber" bullets instead of real one. Suppose that, in a test, one of these "bullets" with a mass of 500 g is travelling at 250 m/s to the right. It hits a stationary target head on. The targets mass is 25 kg and it rests on a smooth surface. The bullet bounces backwards (to the left) off the target at 100 m/s.
(a) Which way must the target move after the collision: (1) right, (2) left, (3) it could be stationary, or (4) you can't tell from the data given?
(b) Determine the recoil speed of the target after the collision.
3. A moving shuffleboard puck has a glancing collision with a stationary puck of the same mass. If friction in negligible, what are the speeds of pucks after the collision?
4. A dropped rubber ball hits the floor with a speed of 8 m/s and rebounds to a height of 0.25 m. What fraction of the initial kinetic energy was lost in the collision?
5. 1 kg object moving 2m/s collides elastically with a stationary 1kg object. How far will the initially stationary object travel along a 37 degree inclined plane?(neglect friction)
|
Find the center of mass of the region
: Find the center of mass of the region bounded by the parabola y = 8 -2x^2 and the x-axis
|
|
Identify the contests of each tube
: Give you four samples and tell you they are lysine (an amino acid), lactose (a disaccharide), insulin ( a protein hormone), and RNA. The sample are in test tubes marked 1,2,3 and 4, but you don't know which compound is in which tube. you need to iden..
|
|
While income has increased in fiscal
: While income has increased in fiscal 2012, is it clear that the company's performance has improved?
|
|
Without creating the perception of in-groups
: In your opinion, can a leader maintain a personal friendship with some members of his or her work group without creating the perception of in-groups (those in his or her social circle) and out-groups (those outside his or her social circle)?
|
|
Determine the recoil speed of the target after the collision
: A moving shuffleboard puck has a glancing collision with a stationary puck of the same mass. If friction in negligible, what are the speeds of pucks after the collision?
|
|
What is the arithmetic mean for these observations
: Using the array in question 1 above, calculate the arithmetic mean with the single most extreme outlier removed. Round the calculation to two decimal places.
|
|
Least at the interval level of measurement
: If there were 32 subjects in the experimental group and 36 subjects in the control group, why is the income data only reported for 30 subjects in the experimental group and 34 subjects in the control group?
|
|
Determine the necessary statistical data
: The city council of a small town has decided to build a tennis court in the central park. Players are expected to arrive on the average of 10 sets of players per 12-hour day. Playing time is exponentially distributed with a mean of one hour. Arrivals..
|
|
Find all solutions to the ode
: Find all solutions to the ODE yy'= (1-y^2) sin x. (When dividing by 1-y^2, be careful that you don't lose any solutions).
|