- #1
FuzzyDunlop
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Homework Statement
A professor has to haul a cart down a ramp. The ramp has an angle of about 10 degrees and is about 5 meters long. His initial speed at the top of the ramp is 6 m/s, and the cart has a mass of about 95 kg. How hard does he have to pull on the cart so that at the bottom of the ramp, its speed does not exceed 7 m/s? Neglecting friction, what is the magnitude of the minimum force he has to exert on the cart?
Initial Velocity: 6m/s
Final Velocity: 7m/s
Mass: 95kg
Distance: 5m
Angle: 10
Homework Equations
Vf^2=Vi^2 +2ax
F=ma
The Attempt at a Solution
Well first I found the acceleration of the cart.
49=36 +2a(5)
a=1.3
Then I thought that the net force would be
F=mgsin10 + ma
so
F= 95*9.8*sin(10) + 95*1.3 = 285 N
But I am still getting it wrong. Did I make a mistake someplace?