A 230-g block is pressed against a spring of force constant 1.50 kN/m until the

Question

A 230-g block is pressed against a spring of force constant 1.50 kN/m until the block compresses the spring 10.0 cm. The spring rests at the bottom of a ramp inclined at 60.0degree to the horizontal. Using energy considerations, determine how far up the incline the block moves from its initial position before it stops under the following conditions. if the ramp exerts no friction force on the block m if the coefficient of kinetic friction is 0.380 m A certain rain cloud at an altitude of 1.60 km contains 3.20 times 107 kg of water vapor. How long would it take for a 2.94-kW pump to raise the amount of water from Earth's surface to the cloud's position? h Calculate the power a car engine contributes to speeding the 1200 kg car up to a highway speed of 65.0 mi/h in 16.0 s. hp

Explanation / Answer

Question (8):

(a):

0.5 k A^2 = m g D sin60

D = (0.5 k A^2)/(m g sin60)

D = (0.5*1.5e3*0.1*0.1)/(0.230*9.8*0.866025)

D = 3.84 m

(b):

0.5 k A^2 = m g D sin60 + m g cos60 D

D = (0.5 k A^2)/(m g sin60 + m g cos60)

D = (0.5*1.5e3*0.1*0.1)/(0.230*9.8*0.866025 + 0.38*0.230*9.8*0.5)

D = 3.15 m

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