!!!4.58, 5.42 and 6.34 ARE INCORRECT!!! I have already tried those solutions and

Question

!!!4.58, 5.42 and 6.34 ARE INCORRECT!!! I have already tried those solutions and was marked wrong

2. Rolling up hill a) A solid sphere rolls smoothly along a floor, then up a ramp inclined at 20 degree w.r.t the horizontal. It stops for a moment when it has rolled 1.5 m along the ramp, then rolls back down the ramp. What was its initial speed before it encounters the ramp? 2.68 m/s Points: 1 Attempts: 1/20 attempt 1: 2.68 b) What will its speed be when it gets to the bottom of the ramp? m/s SUBMIT ANSWER incorrect Points: Attempts: 3/20 attempt 1: 4.58 attempt 2: 5.42 attempt 3: 6.34

Explanation / Answer

here,

b)

theta = 20 degree

l = 1.5 m

let the final speed be v

using conservation of energy

0.5 * I * w^2 + 0.5 * m * v^2 = m * g * h

0.5 * 0.4 * m * r^2 * ( v/r)^2 + 0.5 * m * v^2 = m * g * h

0.7 * v^2 = g * h

0.7 * v^2 = 9.8 * 1.5 * sin(20)

v = 2.68 m/s

the final speed is 2.68 m/s

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