physics
posted by Julius .
A student is skateboarding down a ramp that is 5.5 m long and inclined at 19° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.9 m/s. Neglect friction and find the speed at the bottom of the ramp.

Apply conservation of energy. Neglect the rotational kinetic energy of the wheels, which will make a small difference since the wheels weigh much less than the skateboarder.
(M/2)[V2^2  V1^2] = M g deltaH
= M g *5.5 sin 19
V1 = 2.9 m/s
Cancel the M's and solve for V2, the final velocity.
V2^2  (2.9)^2 = 2*9.81*1.791 = 35.13
V2^2 = 35.13 + 8.41
V2 = 6.60 m/s 
thank you
Respond to this Question
Similar Questions

Physics
Consider a skateboarder who starts from rest at the top of a 14.6 mlong ramp that is inclined at an angle of 13.0° to the horizontal. Assuming that the skateboarder's acceleration is g sin 13.0°, find his speed when he reaches the … 
physics
A student is skateboarding down a ramp that is 8.48 m long and inclined at 16.4° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 3.94 m/s. Neglect friction and find the speed at the … 
Physics
A student is skateboarding down a ramp that is 8.81 m long and inclined at 27.3 ° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 2.58 m/s. Neglect friction and find the speed at the … 
Physics
A student is skateboarding down a ramp that is 5.38 m long and inclined at 19.4 degrees with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp 2.52 m/s. Neglect friction and find the speed at the … 
physics
A student is skateboarding down a ramp that is 6.88 m long and inclined at 16.9 degrees with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp 2.54 m/s. Neglect friction and find the speed at the … 
Physics
A student is skateboarding down a ramp that is 8.33 m long and inclined at 24.5° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 4.12 m/s. Neglect friction and find the speed at the … 
physics
A student is skateboarding down a ramp that is 7.06 m long and inclined at 29.0° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 4.03 m/s. Neglect friction and find the speed at the … 
physics
A student is skateboarding down a ramp that is 6.52 m long and inclined at 19.8 degrees with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp 2.24 m/s. Neglect friction and find the speed at the … 
Physics
A student is skateboarding down a ramp that is 6.03 m long and inclined at 21.5° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 4.87 m/s. Neglect friction and find the speed at the … 
physics
A student is skateboarding down a ramp that is 5.79 m long and inclined at 17.6° with respect to the horizontal. The initial speed of the skateboarder at the top of the ramp is 4.22 m/s. Neglect friction and find the speed at the …