A van accelerates down a hill (see figure below), going from rest to 30.0 m/s in 5.60 s. During the acceleration, a toy (m 0.190 kg) hangs by a string from the van's ceiling. The acceleration is such that the string remains perpendicular to the ceiling. (a) Determine the angle 8. 0 (b) Determine the tension in the string. N

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A van accelerates down a hill (see figure below), going from rest to 30.0 m/s in 5.60 s. During the acceleration, a toy (m =
0.190 kg) hangs by a string from the van's ceiling. The acceleration is such that the string remains perpendicular to the
ceiling.
A
(a) Determine the angle 8.
0
(b) Determine the tension in the string.
N
Transcribed Image Text:A van accelerates down a hill (see figure below), going from rest to 30.0 m/s in 5.60 s. During the acceleration, a toy (m = 0.190 kg) hangs by a string from the van's ceiling. The acceleration is such that the string remains perpendicular to the ceiling. A (a) Determine the angle 8. 0 (b) Determine the tension in the string. N
Expert Solution
Step 1: Determine the given values

The mass of the toy is,

m equals 0.190 space kg


The final speed of the car is,

v subscript f equals 30 space straight m divided by straight s


Time taken by a car is,

t equals 5.60 space straight s


The value of acceleration due to gravity is,

g equals 9.8 space straight m divided by straight s squared

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