Question

0 ? ?file:// esktop/518%20PHYS3 50962 10-12(1) pdf ad this first: Please clearly show your work on separate pages and circle The final answers own, no points gained even your answers are correct. . No work A 10-kg toy truck is pulling a 2-kg empty bucket on a frictionless incline (see the right figure). If the toy truck moves downward along the incline with an acceleration of 1.2 m/s?. Given that the diameter of the pulley is 20-cm, and the incline angle is 45 (10%) Find the mass of the pulley (10%) Find the amount of water to add in the bucket so that the toy truck moves at constant speed downward. T. m, In the right figure, a disk slides toward a motionless stick on a frictionless surface, hits the stick at one end and adheres to it, and then they rotate together, pivoting around the nail. Suppose the disk has a mass of 50.0 g and the stick that is 1.00 m long and 2.00 kg. Before After (pivot

Answer 1

here,

mass of toy car , m1 = 10 kg

mass of bucket , m2 = 2 kg

let the mass of pulley be m

a)

the accelration ,a = net force /effective mass

a = ( m1 * g * sin(theta) - m2 * g)/(m1 + m2 + 0.5 * m * R^2/R^2)

1.2 = ( 10 * 9.81 * sin(45) - 2 * 9.81 ) /(10 + 2 + 0.5 * m)

solving for m

m = 58.9 kg

the mass of pulley is 58.9 kg

b)

let the amount of water added be m3

for the accelration to be zero

the net force is zero

m1 * g * sin(theta) - (m2 + m3) * g = 0

10 * sin(45) = 2 + m3

m3 = 5.1 kg

the mass of water added is 5.1 kg