(3%) Problem 21: A small forward hurls a basketball m 1 kg straight up with an i

Question

(3%) Problem 21: A small forward hurls a basketball m 1 kg straight up with an initial speed of v0 = 5.5 m/s. The ball leaves his hand at shoulder height h0 = 1.95 m. Let gravitational potential energy be zero at ground level 50% Part (a) Give the total mechanical energy of the ball E in terms of maximum height hm it reaches, the mass m, and the gravitational acceleration g Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining: 7 % per attempt) detailed view END DEL CLEAR 0 Submit Hint I give up! Hints: 0%-deduction per hint. Hints remaining: 3 Feedback: 0%-deduction per feedback. - 50% Part (b) what is the height, hm in meters?

Explanation / Answer

here,

v0 = 5.5 m/s

h0 = 1.95 m

a)

the total mechanical energy of the ball , E= m * g * ( hm)

b)

let the height above the sholder reached be h'

using conservation of energy

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

0.5 * 5.5^2 = 9.81 * h

h = 1.54 m

the height , hm = h + h' = 3.49 m

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