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BARSIC [14]
3 years ago
12

Two blocks of clay, one of mass 1.00 kg and one of mass 3.00 kg, undergo a completely inelastic collision. Before the collision

one of the blocks is at rest and the other block is moving with kinetic energy 32.0 J. If the 3.00 kg block is initially at rest and the 1.00 kg block is moving, what is the initial speed of the 1.00 kg block?
Physics
2 answers:
enyata [817]3 years ago
6 0

Answer:

The initial speed of the 1kg block is 8 m/s.

Explanation:

The question simply asks for the initial speed of the 1.00 kg block.

The initial kinetic energy of the 1kg block is = 32 Joules

Using this kinetic energy, and the equation below, we can find the speed of the 1kg block:

Kinetic Energy = \frac{1}{2}m*v^2

32=\frac{1}{2}(1)*v^2

v = \sqrt{64}

v = 8 m/s

The initial speed of the 1kg block is 8 m/s.

Cerrena [4.2K]3 years ago
4 0

Answer:

Va1 = 8.0m/s

Explanation:

Let Va1 = the speed of the block1

Given the masses of the blocks

Ma = 1.0kg and Mb = 3.0kg

Kinetic energies of the blocks

Ka1= 32J and Kb1 = 0J

Ka1 = 1/2 × Ma × Va1²

32 = 1/2 × 1.0 × Va1²

Va1² = 2×32 =64

Va1² = √64 = 8.0m/s

In this problem we were given the kinetic energy of one of the blocks and also the masses of the blocks. So all we need to do is to use the formula for calculating the kinetic energy to relate ka1 to the mass Ma as done above.

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A cannon with a muzzle speed of 1 000 m/s is used to start an avalanche on a mountain slope. The target is 2 000 m from the cann
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Answer:

∅ = 89.44°

Explanation:

In situations like this air resistance are usually been neglected thereby making g= 9.81 m/s^{2}

Bring out the given parameters from the question:

Initial Velocity (V_{1}) = 1000 m/s

Target distance (d) = 2000 m

Target height (h) =  800 m

Projection angle ∅ = ?

Horizontal distance = V_{1x}tcos ∅     .......................... Equation 1

where V_{1x} = velocity in the X - direction

           t = Time taken

Vertical Distance = y = V_{1y} t - \frac{1}{2}gt^{2}        ................... Equation 2

Where   V_{1y} = Velocity in the Y- direction

              t  = Time taken

V_{1y} = V_{1}sin∅

Making time (t) subject of the formula in Equation 1

                    t = d/(V_{1x}cos ∅)

                      t = \frac{2000}{1000coso} = \frac{2}{cos0}  =    \frac{d}{cos o}             ...................Equation 3

substituting equation 3 into equation 2

Vertical Distance = d = V_{1y} \frac{d}{cos o} - \frac{1}{2}g\frac{2}{cos0}   ^{2}

                                  Vertical Distance = h = sin∅ \frac{d}{cos o} - \frac{1}{2}g\frac{2}{cos0}   ^{2}

  Vertical Distance = h = dtan∅   - \frac{1}{2}g\frac{2}{cos0}   ^{2}

  Applying geometry

                              \frac{1}{cos o} = tan^{2} o + 1

  Vertical Distance = h = d tan∅   - 2 g (tan^{2} o + 1)

               substituting the given parameters

               800 = 2000 tan ∅ - 2 (9.81)( tan^{2} o + 1)

              800 = 2000 tan ∅ - 19.6( tan^{2} o + 1)  Equation 4

Replacing tan ∅ = Q     .....................Equation 5

In order to get a quadratic equation that can be easily solve.

            800 = 2000 Q - 19.6Q^{2} + 19.6

Rearranging 19.6Q^{2} - 2000 Q + 780.4 = 0

                    Q_{1} = 101.6291

                      Q_{2} = 0.411

    Inserting the value of Q Into Equation 5

                 tan ∅ = 101.63    or tan ∅ = 0.4114

Taking the Tan inverse of each value of Q

                  ∅ = 89.44°     ∅ = 22.37°

             

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