A car accelerates down a hill (see figure below), going from rest to 20.0 m/s in

Question

A car accelerates down a hill (see figure below), going from rest to 20.0 m/s in 4.00 s. A toy inside the car hangs by a string from the car's ceiling. The ball in the figure represents the toy, of mass 0.880 kg. The acceleration is such that the string remains perpendicular to the ceiling.

A car accelerates down a hill (see figure below), going from rest to 20.0 m/s in 4.00 s. A toy inside the car hangs by a string from the car's ceiling. The ball in the figure represents the toy, of mass 0.880 kg. The acceleration is such that the string remains perpendicular to the ceiling. Determine the angle ?. Determine the tension in the string.

Explanation / Answer

A) accelaration a=20/4=5m/s^2....


a=g sin(theta)...


theta= sin^-1(a/g)...

theta=30.67 degrees.....



B)tension T=mg cos(30.67)=7.417 N

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