CORRECT AND CLEAR ANSWER WILL BE GIVEN BRAINLIEST An object of mass 0.30 kg is thrown vertically upwards and reaches a height of 8.0 m. Calculate: (a) it's final potential energy (b) The velocity with which it must be thrown, neglecting air resistance ( assuming g = 10m/s²)

Final potential energy = 24 Joule

The velocity with which object must be thrown = m/s

Step-by-step explanation:

Given:

Mass of object, m = 0.30 Kg

Height of object, h = 8 m

Acceleration due to gravity, g = 10

a) Formula for Potential Energy:

Where m is the mass of object

g is acceleration due to gravity and

h is the height of object

Putting the values of m, g and h

b) Formula for initial and final velocity:

where v is the final velocity

u is the initial velocity with which the object is thrown

g is acceleration due to gravity and

h is the height obtained by object

here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.

h = 8m

g = -10 (negative because the object's velocity is decreasing)

Putting the values to find 'u':

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).