Some babies like to be bounced to calm them down. A baby's grandmother (55.7 kg) sits...

 

Transcribed Image Text:

Some babies like to be bounced to calm them down. A baby's grandmother (55.7 kg) sits on a "birthing" ball and bounces a 4.26 kg baby with them with frequency 1.26 Hz, and finds that the baby goes to sleep. The baby's brother (94.8 kg) tries the same technique, but finds that the baby won't go to sleep. They realize that this is because they can't bounce on the ball with the same frequency as the baby's grandmother. Part 1 Assuming this to be simple harmonic motion, what is the spring constant of the ball (assume that it remains unchanged by the added weight)? k = number (rtol=0.05, atol=1e-08) N/m Part 2 What adjustment to the spring constant needs to be made for the baby's brother to put the child to sleep? Ak = knew - kold = number (rtol=0.05, atol=1e-08) N/m Some babies like to be bounced to calm them down. A baby's grandmother (55.7 kg) sits on a "birthing" ball and bounces a 4.26 kg baby with them with frequency 1.26 Hz, and finds that the baby goes to sleep. The baby's brother (94.8 kg) tries the same technique, but finds that the baby won't go to sleep. They realize that this is because they can't bounce on the ball with the same frequency as the baby's grandmother. Part 1 Assuming this to be simple harmonic motion, what is the spring constant of the ball (assume that it remains unchanged by the added weight)? k = number (rtol=0.05, atol=1e-08) N/m Part 2 What adjustment to the spring constant needs to be made for the baby's brother to put the child to sleep? Ak = knew - kold = number (rtol=0.05, atol=1e-08) N/m