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hodyreva [135]
3 years ago
15

a 0.24 kg blob of clay is thrown at a wall with an initial velocity of 19m/s. the clay comes to a stop against the wall in 82ms,

what is the average force experienced by the clay
Physics
1 answer:
leva [86]3 years ago
8 0

As per Newton's law we can say

F = \frac{dP}{dt}

here we can say

F = \frac{m(v_f - v_i)}{\delta t}

now we know that

v_f = 0

v_i = 19 m/s

\delta t = 82 ms

mass = 0.24 kg

now by above formula we will have

[tex]F = \frac{0.24(0 - 19)}{82*10^{-3}}[\tex]

so force on the wall is given by

F = 55.6 N

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We are told the mass of the ball is m=0.0555\ kg, the height above the spring where the ball is dropped is h=0.536\ m,  the length the ball compresses the spring is d=0.04897\ m and the acceleration of gravity is 9.8\ \frac{m}{s^{2}} .

We will consider the initial moment to be when the ball is dropped and the final moment to be when the ball stops, compressing the spring. We supose that there is no friction so the initial mechanical energy E_{mi} is equal to the final mechanical energy E_{mf} :

                                                    E_{mf}=E_{mi}

Initially there is only gravitational potential energy because the force of the spring isn't present and the speed is zero. In the final moment there is only elastic potential energy because the height is zero and the ball has stopped. So we have that:

                                                   \frac{1}{2}kd^{2}=mgh

If we manipulate the equation we have that:

                                                    k=\frac{2mgh}{d^{2} }

                                         k=\frac{2\ 0.0555\ kg\ 9.8\frac{m}{s^{2}}\ 0.536\ m}{(0.04897)^{2}m^{2}}

                                              k=\frac{0.58306\ \frac{kgm^{2}}{s^{2}}}{2.398x10^{-3}m^{2}}

                                                     k=243\ \frac{N}{m}

                                                   

                             

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