_{1. The problem statement, all variables and given/known data
A well pulley is constructed from wooden cylinder with a mass of 5 kg and a radius of 10 cm and a light handle. The bucket filled with water is hanging on the rope coiled to the cylinder has a mass of 7 kg.
- With how much acceleration does the bucket move if the handle breaks; the pulley is spinning with no friction?
- How much is the kinetic energy of the bucket after it falls for 1 m?
2. Relevant equations
F=ma
KE= mv²/2
PE= mgh
3. The attempt at a solution
First part: With how much acceleration does the bucket move if the handle breaks; the pulley is spinning with no friction?
m(1)= 5 kg, m(2)= 7 kg, g= 10 m/s²
(m(1) + m(2))*a= m(2)g
a= m(2)g / (m(1) + m(2)
a= 5.8 m/s²
ARE MY CALCULATIONS CORRECT?
Second part: How much is the kinetic energy of the bucket after it falls for 1 m?
KE= PE
mv²/2= mgh
v= sqrt(2gh)
v= 4.47 m/s
KE= mv²/2= 69.9 J
Are my calculations correct?
Thank you helping!}