An object of mass 0.5kg at rest, started to fall aheigh of 180cm from the surface of earth. it's momentum when it reaches the earth's surface is

m=0.5kg

h = 180 cm =1.8 mh=180cm=1.8m

Initial potential energy of the object is:

E_p=m*g*hE

p

=m∗g∗h

Kinetic energy at the surface:

E_k=\frac{mv^2}{2}E

k

 =

2

mv

2

According to the law of conservation of energy (assuming no air resistance):

E_p = E_kE

p

 =E

k

mgh=\frac{mv^2}{2}mgh=

2

mv

2

Solving for v:

v=\sqrt{2gh}v=

2gh

p=mvp=mv

So,

p= m*v = m\sqrt{2gh}p=m∗v=m

2gh

Calculating:

p= 0.5\sqrt{2*9.8*1.8}\approx 2.97 \frac{kg*m}{s}p=0.5

2∗9.8∗1.8

≈2.97

s

kg∗m

p \approx 2.97 \frac{kg*m}{s}p≈2.97

s

kg∗m

find the surface area of the sphere to the nearest square unit. use a calculator.

a. 254 in.2

b. 64 in.2

c. 127 in.2

d. 1,018 in.2

total distance/total time

(85 + 82)/(5+3)

167/8

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