Kinetic energy at bottom of Ramp #1 before traveling across the rough surface: K

Question

Kinetic energy at bottom of Ramp #1 before traveling across the rough surface: K =  J

Magnitude of Heat dissipated by friction after traveling across the rough surface: fs =  J

Kinetic energy at bottom of Ramp #2 after traveling across the rough surface: K =  J

Final gravitational potential energy on Ramp #2 after momentarily stopping: U2G =  J

The block then slides back down Ramp #2 and across the rough surface to Ramp #1 again. Find the following numerical energy values:

Kinetic energy at bottom of Ramp #1 after traveling across the rough surface again: K =  J

Final gravitational potential energy on Ramp #1 after momentarily stopping: U1G =  J

Explanation / Answer

1. PE = m gh = 2 x 9.81 x 7 = 137.3 J

2. KE = PEi = 137.3 J

3. f = uk N = uk m g = 0.5 x 2 x 9.81 = 9.81 N

Work done by friction = -f d = - 19.6 J

Heat dissipated = 19.6 J

4. KE = 137.3 - 19.6 = 117.7 J

5. PE = 117.7 J

6. KE = 117.7 - 19.6 = 98.1 J

7. PE = 98.1 J

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