You clamp a straight ramp of length 51 cm making an angle of 18.0 You clamp a st

Question

You clamp a straight ramp of length 51 cm making an angle of 18.0

You clamp a straight ramp of length 51 cm making an angle of 18.0 degree with the horizontal table top, with the bottom of the ramp at the edge of the table. The edge of the table is located 114 cm above the floor. A toy car is placed on the ramp, and there is no friction between the car and the ramp. The car is thrown so that at the top of the ramp it has a speed of 65.0 cm/s. While the car is on the ramp, what is the magnitude of its acceleration? cm/s/s When the car reaches the bottom of the ramp, what is its speed? cm/s What time elapses from when the car leaves the ramp until it reaches the floor? s What is the horizontal distance from the edge of the table to where the car hits the floor? cm

Explanation / Answer

a)

g=9.8 m/s= 980cm/s^2

a=gsin(x) =980*sin18

a=302.84 cm/s^2

b)

Vb^2-Vt^2=2aS

Vb =sqrt[Vt^2+2as]=sqrt[65^2+2*302.84*51]

Vb=189.39 cm/s

c)

tb =Vb-Vt/a =189.39-65/302.84

tb=0.41 s

tT =sqrt(2h/g) =sqrt(2*114/980)

tT=0.23 s

so total time

T=0.41+0.23 =0.64 s

d)

x=Vb*tT =189.39*0.23

x=43.56 cm

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