A van accelerates down a hill (see figure below), going from rest to 30.0 m/s in

Question

A van accelerates down a hill (see figure below), going from rest to 30.0 m/s in 6.20 s. During the acceleration, a toy (m =0.500 kg) hangs by a string from the van's ceiling. The acceleration is such that the string remains perpendicular to the ceiling.

A van accelerates down a hill (see figure below), going from rest to 30.0 m/s in 6.20 s. During the acceleration, a toy (m =0.500 kg) hangs by a string from the van's ceiling. The acceleration is such that the string remains perpendicular to the ceiling. Determine the angle ?. Determine the tension in the string.

Explanation / Answer

a =V/t =30/6.2 =4.84 m/s^2

sin(x)=a/g =4.84/9.81

x=29.55 degrees

b)

T=mgcos(x) =0.5*9.8*cos29.55

T=4.26 N

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