Question
Asked Nov 14, 2019
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3. In an experiment using an inclined track with a dynamics cart, the computer failed, and the student
had to record the distance the cart traveled in a specific time interval. If the cart traveled 35.0 cm in
1.50 s, find the cart's acceleration, the cart's mass, and the tension in the string connecting the cart
to the accelerating (hanging) 50.0 - g mass. Assume the cart is inclined 6.00 degrees and no friction
between the track and the cart
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3. In an experiment using an inclined track with a dynamics cart, the computer failed, and the student had to record the distance the cart traveled in a specific time interval. If the cart traveled 35.0 cm in 1.50 s, find the cart's acceleration, the cart's mass, and the tension in the string connecting the cart to the accelerating (hanging) 50.0 - g mass. Assume the cart is inclined 6.00 degrees and no friction between the track and the cart

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Expert Answer

Step 1

Let m be the mass of cart, M be the mass of hanging mass, g be the acceleration due to gravity, a be the acceleration of both the blocks, T be the tension in the string connecting both the masses, s be the distance travelled on the inclined plane, t be the time taken to move that distance.

Write the given values of question.

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s 35 cm 35x10 m t 1.5 s g9.81 m/s M 50 g 50x10 kg

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Step 2

Write the expression for distance travelled and substitute the known values to find the acceleration.

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1 s = ut at 2 1 35x10 m 0a(1.5 s) 2 a 0.311 m/s2

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Step 3

Write the expression for motion of hanging mass as ...

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Mg -T %3D Mа ЕЕСКИ Т -М(g-а) (50x10 kg) (9.81 m/s2- 0.311 m/s2) =0.475 N

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Physics

Kinematics

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