Question: A wad of sticky clay is hurled horizontally at a 100-g wooden block initially at rest on a horizontal surface. The clay sticks to the block. After impact, the block slides before 7.50 m coming to rest. If the coefficient of friction between the block and the surface is 0.650, what was the speed of the clay immediately before impact?
The speed of the clay immediately before impact is, .
Step 2: Stating given data
Here, P represents the momentum, m represents the mass of the particle, v represents the speed of the particle.
Mass of the clay, .
Mass of the block, .
The coefficient of friction between the block and the surface is, .
The distance traveled by block before coming to rest, .
The collision between the clay and the wooden block is not elastic. In this collision which is known as inelastic collision, the momentum will remain conserved.
Thus, if the total momentum before the impact and total momentum after the momentum are the same, then we can write
From equation (1), we can write the above expression as
Here i and f subscript represent the initial and final values.
The block is initially at rest so that the velocity will be zero. And the clay is moving with a velocity before the impact. After the impact, they stick together and move with a velocity of .
The above expression can be written as;
From the conservation of energy, the energy equation in the presence of friction forces can be written as
is the kinetic energy of the clay block system after the impact that can be written as
W is the work done that can be calculated as
Here is the frictional force, that is .
Now, substituting the values in equation 3, we get
From equations 2 and 4, we can write
Substituting the values in the above expression, we get
Thus, the speed of the clay immediately before impact is
While in motion, a pitched baseball carries kinetic energy and momentum. (a) Can we say that it carries a force that it can exert on any object it strikes? (b) Can the baseball deliver more kinetic energy to the bat and batter than the ball carries initially? (c) Can the baseball deliver to the bat and batter more momentum than the ball carries initially? Explain each of your answers.
The vector position of a 3.50-g particle moving in the xy plane varies in time according to where t is in seconds and is in centimeters. At the same time, the vector position of a 5.50 g particle varies a. At t = 2.50 s, determine (a) the vector position of the center of mass, (b) the linear momentum of the system, (c) the velocity of the center of mass, (d) the acceleration of the center of mass, and (e) the net force exerted on the two-particle system.
Question: A puck, initially at rest on a horizontal, frictionless surface, is struck by a puck moving initially along the x axis with a speed of. After the collision, the puck has a speed of at an angle of to the positive x axis (see Figure 9.11). (a) Determine the velocity of the puck after the collision. (b) Find the fraction of kinetic energy transferred away or transformed to other forms of energy in the collision.
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