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isabelcasillas
02.01.2020 •
Physics
Abullet with mass 4.53 g is fired horizontally into a 1.953-kg block attached to a horizontal spring. the spring has a constant 5.73 102 n/m and reaches a maximum compression of 6.20 cm. find the initial speed of the bullet-block system.
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Ответ:
The initial speed of the bullet-block system is 113 m/s
Explanation:
Hi there!
Let´s apply the theorem of conservation of energy. If we neglect friction, all the kinetic energy of the bullet-block system is used to compress the spring. In other words, the kinetic energy is converted into elastic potential energy. Then, the initial kinetic (KE) energy of the bullet-block system will be equal to the final elastic potential energy (EPE) of the spring:
KE = EPE
1/2 · m · v² = 1/2 · k · x²
Where:
m = mass of the bullet-block system.
v = initial speed of the bullet-block system.
k = spring constant.
x = compression of the spring
Then, solving for v:
v² = k · x² / m
v² = 5.73 × 10² N/m · (0.620 m)² / 1.957 kg
v = 113 m/s
Ответ:
The correct answer is option b and c.