A-D Please answer with relevant formulas and detailed/legible explanation of eac

Question

A-D Please answer with relevant formulas and detailed/legible explanation of each. A 500 g hammer traveling at 30 m/s hits a nail driving it into a block of wood during a period of time of 1 ms. (a) What is the change in momentum of the hammer if it does not bounce? (b) What is the change in momentum of the hammer if it bounces back at 20 m/s? (b) What is the average force stopping the hammer if it doesn't bounce? (c) What is the average force if it bounces back at 20 m/s? (d) Use energy considerations to find out how far the nail moves in each case.

Explanation / Answer

here,

mass of hammer , M = 0.5 kg

initial speed , u = 30 m/s

a)

the change in momentum of the hammer , dP = M * ( 0 - u)

dP= 0.5 * ( 0 - 30 ) kg.m/s

dP = - 15 kg.m/s

b)

if v = 20 m/s

the change in momentum of the hammer , dP = M * ( v - u)

dP= 0.5 * ( 20 - 30 ) kg.m/s

dP = - 5 kg.m/s

c)

time taken , t = 1 ms = 0.001 s

the average force , F = dp /t

F = - 5000 N

d)

using conservation of energy

F = m * g

and

kinetic energy = 0.5 * m * v^2

so

m *g * h = 0.5 * m * v^2

9.81 * h = 0.5 * 20^2

h= 20.4 m

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.