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Box on a Ramp

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Mass M, cord with a tension T_f , ramp of angle q. 

What is T_f in terms of M, q

T_f = Mgsinq

Car at rest, rolls down a 30 degree ramp. How much time to roll 100. m down ramp?

d = 100 m

V_i = 0

t = ?

What else to I need to solve?

a = gsinӨ

V_i = 0

a = gsinq = 9.8 m/s²sin30

t = ?

d = 100 m

d = d₀ + V_it + 1/2 at2

100. m = 0 + 1/2(4.9 m/s²)t²

t = 6.4 seconds

Hanging Box

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