The collision between a hammer and a nail can be considered to be approximately elastic. estimate the kinetic energy acquired by a 10 g nail when it is struck by a 550 g hammer moving with an initial speed of 3.5 m/s.

Here we can use momentum conservation as in this type of collision there is no external force on it

now here we can say

now here we can say

now by coefficient of restitution

for elastic collision we know that e = 1

now by solving the two equation

also we know that

so final speed of the nail is 6.875 m/s

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.

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