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tankabanditka [31]
3 years ago
5

Projectiles that strike objects are good examples of inelastic collisions. A 0.1 kg nail driven by a gas powered nail driver col

lides in an inelastic collision with a 10 kg block of wood at rest. The total momentum of the system after the collision is 4.8 kg · m/s. Round your answers to two significant digits. The velocity of the nail and block after the collision is calculated to be m/s. The expected velocity of the nail prior to the collision is m/s.
Physics
2 answers:
Ratling [72]3 years ago
6 0
In an inelastic collision, only momentum is conserved, while energy is not conserved.

1) Velocity of the nail and the block after the collision
This can be found by using the total momentum after the collisions:
p_f=(m+M)v_f=4.8 kg m/s
where
m=0.1 kg is the mass of the nail
M=10 kg is the mass of the block of wood
Rearranging the formula, we find v_f, the velocity of the nail and the block after the collision:
v_f= \frac{p_f}{m+M}= \frac{4.8 kg m/s}{0.1 kg+10 kg}=  0.48 m/s

2) The velocity of the nail before the collision can be found by using the conservation of momentum. In fact, the total momentum before the collision is given only by the nail (since the block is at rest), and it must be equal to the total momentum after the collision:
p_i = mv_i = p_f
Rearranging the formula, we can find v_i, the velocity of the nail before the collision:
v_i =  \frac{p_f}{m}= \frac{4.8 kg m/s}{0.1 kg}=48 m/s
Temka [501]3 years ago
5 0

Projectiles that strike objects are good examples of inelastic collisions. A 0.1 kg nail driven by a gas powered nail driver collides in an inelastic collision with a 10 kg block of wood at rest. The total momentum of the system after the collision is 4.8 kg · m/s. Round your answers to two significant digits.

The velocity of the nail and block after the collision is calculated to be  

0.48

m/s.

The expected velocity of the nail prior to the collision is  

48

m/s.

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