Consider a 25 kg mass initially traveling at 4.5m/s. The mass slides up a ramp a

Question

Consider a 25 kg mass initially traveling at 4.5m/s. The mass slides up a ramp at 20 degrees. This mass experiences a 110N Frictional force as it slides. a)show a free body diagram with labeled force component aligned along appropriatly selected axes. b) find the accelration of the block. c) Determine how far up the ramp the object will climb. d) when this mass reaches it's highest point, does it slide back down, or remain at rest? explain.

Now I not too worried about the free body diagram, I am just having trouble finding a way to get the acceleration. We have final and initial velocity (4.5m/s and 0m/s) but nothing else to solve for acceleration.

Explanation / Answer

b)
Fnet = -m*g*sin(20) - 110

m*a = -193.8 N

a = -193.8/25 = -7.75 m/s^2

c) v^2-u^2 = 2*a*s

here v = 0, u = 4.5 m/s

s = -u^2/(2*a) = 1.306 m


d)frictional force = 110 N

component of gravitional force = m*g*sin(20) = 83.8 N

so, the remain at rest

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.