Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
Figure 1 shows a Newton's cradle with small beads hanging from different heights. One bead hangs 30.0 cm below the upper bar, and the second bead hangs 20.0 cm below the lower bar, so that the beads are aligned horizontally. (In reality, the beads hang from two strings attached to them in a V-formation, so that the beads can only swing in the plane of the page; still, the beads behave like simple pendulums with the lengths shown.) The beads have equal masses, and collisions between them are always elastic. 30.0 cm 20.0 cm

Figure 1 shows a Newton's cradle with small beads hanging from different heights. One bead hangs 30.0 cm below the upper bar, and the second bead hangs 20.0 cm below the lower bar, so that the beads are aligned horizontally. (In reality, the beads hang from two strings attached to them in a V-formation, so that the beads can only swing in the plane of the page; still, the beads behave like simple pendulums with the lengths shown.) The beads have equal masses, and collisions between them are always elastic. 30.0 cm 20.0 cm

icon
Related questions
Question
Problem 4. Newton's Variable-Height Cradle Figure 1 shows a Newton's cradle with small beads hanging from different heights. One bead hangs 30.0 cm below the upper bar, and the second bead hangs 20.0 cm below the lower bar, so that the beads are aligned horizontally. (In reality, the beads hang from two strings attached to them in a V-formation, so that the beads can only swing in the plane of the page; still, the beads behave like simple pendulums with the lengths shown.) The beads have equal masses, and collisions between them are always elastic. 30.0 cm 20.0 cm Figure 1: Newton's cradle with beads hanging at variable heights. (a) If the first bead (the one hanging from the 30.0-cm-long string) is released from rest at an angle of 10.0° from the vertical, to what maximum angle from the vertical will the second bead swing? (b) After the first bead is released, how long will it take to collide with the second bead? (c) After the first collision, how long will it take the second bead to collide with the first bead again? (d) After the second collision, how long will it take the first bead to collide with the second bead again? (e) What is the time interval between every second collision?
Transcribed Image Text:Problem 4. Newton's Variable-Height Cradle Figure 1 shows a Newton's cradle with small beads hanging from different heights. One bead hangs 30.0 cm below the upper bar, and the second bead hangs 20.0 cm below the lower bar, so that the beads are aligned horizontally. (In reality, the beads hang from two strings attached to them in a V-formation, so that the beads can only swing in the plane of the page; still, the beads behave like simple pendulums with the lengths shown.) The beads have equal masses, and collisions between them are always elastic. 30.0 cm 20.0 cm Figure 1: Newton's cradle with beads hanging at variable heights. (a) If the first bead (the one hanging from the 30.0-cm-long string) is released from rest at an angle of 10.0° from the vertical, to what maximum angle from the vertical will the second bead swing? (b) After the first bead is released, how long will it take to collide with the second bead? (c) After the first collision, how long will it take the second bead to collide with the first bead again? (d) After the second collision, how long will it take the first bead to collide with the second bead again? (e) What is the time interval between every second collision?
Expert Solution
steps

Step by step

Solved in 2 steps with 9 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer