Adevice has a 100-g wooden shuttle that is pulled horizontally along a fixed frictionless wooden rail by an elastic band. the shuttle is released when the elastic band has 6.4 n tension at a 35° angle. what is the magnitude of the initial acceleration of the shuttle?

The acceleration of the shuttle is 52.4 m/s².

The horizontal component of the force exerted is calculated as follows;

Fₓ = Fcos(θ)

Fₓ = 6.4 x cos(35)

Fₓ = 5.24 N

The acceleration of the shuttle is calculated as follows;

Thus, the acceleration of the shuttle is 52.4 m/s².

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52.4 m/s^2

Explanation:

First of all, we have to calculate the horizontal component of the force exerted by the elastic band, which is the force that acts on the device:

So now, by using Newton's second Law:

We can calculate the initial acceleration of the shuttle (mass: m=100 g=0.1 kg):

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