6. A snowball that will be used to build a snowman is at the top of the only hill in town and weighs 22
N. If the Potential Energy of the snowball is 520 J, what is the height of the snowy hill?

Height of the snowy hill is 23.63 meter

Given that;

Weight of snowman = 22 N

Potential Energy of the snowball = 520 J

Find:

Height of the snowy hill

Computation:

Potential Energy = Weigh × Height

Height of the snowy hill = 520 / 22

Height of the snowy hill = 23.63 meter

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23.64 m

Explanation:

Potential energy is given by

PE=mgh

Where m us the mass of snowball, g is acceleration due to gravity, h is height.

Also, the weight of an object is given by W=mg hence replacing mg in the above equation with W we obtain

PE=Wh

Making h the subject of the formula then

Substituting 520 J for PE and 22 N for W then

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft