Figure Q1.2 illustrates a crate with the mass of mc, which is initiall

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Figure Q1.2 illustrates a crate with the mass of mc, which is initially at rest at a slope with angle of θ. A bullet of mass mb and velocity ub is fired into the crate and causes it to slide along the slope embedding itself in the crate. The coefficient of friction between the surface of the slope and the crate is given by μ. Ignore the aerodynamic drag during the process. Note that mc, θ, mb, ub, and μ are generated randomly. Determine: The velocity, (denoted v1 ), of the crate after moving L1, which is defined randomly The total travelled distance L The total mechanical energy lost during the process Figure Q1.2

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Figure Q1.2 illustrates a crate with the mass of

m_{c}

, which is initially at rest at a slope with angle of

θ

. A bullet of mass

m_{b}

and velocity

u_{b}

is fired into the crate and causes it to slide along the slope embedding itself in the crate. The coefficient of friction between the surface of the slope and the crate is given by

μ

. Ignore the aerodynamic drag during the process.

Note that

m_{c}, θ, m_{b}, u_{b}

, and

μ

are generated randomly. Determine:

The velocity, (denoted $v 1$ ), of the crate after moving $L_{1}$ , which is defined randomly
The total travelled distance $L$
The total mechanical energy lost during the process Figure Q1.2