Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.050 kg) are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are given in Fig. P8.69. All three spheres arrive at the origin at the same time and stick together, (a) What must the x - and y -components of the initial velocity of C be if all three objects are to end up moving at 0.50 m/s in the + x -direction after the collision? (b) If C has the velocity found in part (a), what is the change in the kinetic energy of the system of three spheres as a result of the collision?
Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.050 kg) are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are given in Fig. P8.69. All three spheres arrive at the origin at the same time and stick together, (a) What must the x - and y -components of the initial velocity of C be if all three objects are to end up moving at 0.50 m/s in the + x -direction after the collision? (b) If C has the velocity found in part (a), what is the change in the kinetic energy of the system of three spheres as a result of the collision?
Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.050 kg) are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are given in Fig. P8.69. All three spheres arrive at the origin at the same time and stick together, (a) What must the x- and y-components of the initial velocity of C be if all three objects are to end up moving at 0.50 m/s in the +x-direction after the collision? (b) If C has the velocity found in part (a), what is the change in the kinetic energy of the system of three spheres as a result of the collision?
Spheres A (mass 0.020 kg), B (mass 0.030 kg), and C (mass 0.050 kg2 are approaching the origin as they slide on a frictionless air table. The initial velocities of A and B are given in Fig. . All three spheres arrive at the origin at the same time and stick together. (a) What must the x- and y-components of the initial velocity of C be if all three objects are to end up moving at 0.50 m/s in the +x-direction after the collision? (b) If C has the velocity found in part (a), what is the change in the kinetic energy of the system of three spheres as a result of the collision?
Spheres A (mass 0.040 kg), B (mass 0.060 kg) and C (mass 0.080 kg) are
approaching the origin as they slide on a frictionless air table. The initial
velocities of A and B are v₁ = 1.60 m/s in the negative x direction and VB = 0.90
m/s at an angle 08 = 60°, as shown. All three spheres arrive at the origin at the
same time and stick together. After the collision, the masses move at a speed of
0.50 m/s in the -x direction.
UC
y
OB
B
UB
VA
A
X
C
a. What is the x-component of the initial velocity of C?
b. What is the y-component of the initial velocity of C?
c. Calculate the change in mechanical energy of the collision.
d. What type of collision is this? Explain.
A0.3 kg ball on a rail is rolled down an incline, and then rolls across a table on a horizontal rail. It leaves the
rail, and strikes the floor. Assume friction on the rail is negligible. A student finds that it takes 0.055 seconds
to pass through a pair of photogates that are 0.183 m apart. The edge of the rail is 1.11 m above the floor.
Find the horizontal velocity of the ball as it passes through the photogates.
m/s
How long does it take to hit the ground after leaving the rail?
How far away from the edge of the table should a student place a coin so that the ball would hit the coin?
m
Chapter 8 Solutions
University Physics with Modern Physics (14th Edition)
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