Question

In: Physics

A girl of mass mG is standing on a plank of mass mP. Both are originally...

A girl of mass mG is standing on a plank of mass mP. Both are originally at rest on a frozen lake that constitutes a frictionless, flat surface. The girl begins to walk along the plank at a constant velocity vGP to the right relative to the plank. (The subscript GP denotes the girl relative to the plank.)

(a) What is the velocity vPI of the plank relative to the surface of the ice? (Use the following as necessary: vGP, mG, and mP. Indicate the direction with the sign of your answer. Let the positive direction be in the direction that the girl walks.)

vPI =

(b) What is the girl's velocity vGI relative to the ice surface? (Use the following as necessary: vGP, mG, and mP. Indicate the direction with the sign of your answer. Let the positive direction be in the direction that the girl walks.)

vGI =

Solutions

Expert Solution


Related Solutions

A) A 46.1 kg girl is standing on a 169 kg plank. The plank, originally at...
A) A 46.1 kg girl is standing on a 169 kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.61 m/s relative to the plank. What is her velocity relative to the ice surface? B) What is the velocity of the plank relative to the ice surface?
A 45.0-kg girl is standing on a 152-kg plank. The plank, originally at rest, is free...
A 45.0-kg girl is standing on a 152-kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.55 m/s to the right relative to the plank. (Let the direction the girl is moving in be positive. Indicate the direction with the sign of your answer.) (a) What is her velocity relative to the surface of ice?...
A 45.0-kg girl is standing on a 159-kg plank. The plank, originally at rest, is free...
A 45.0-kg girl is standing on a 159-kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.58 m/s to the right relative to the plank. (Let the direction the girl is moving in be positive. Indicate the direction with the sign of your answer.) (a) What is her velocity relative to the surface of ice?...
A person with mass mp=80 kg is standing at rest on a horizontal, frictionless surface holding...
A person with mass mp=80 kg is standing at rest on a horizontal, frictionless surface holding a ball of wet clay with mass mg=10 kg . In front of the person is a large block with mass M=20 kg at rest next to a spring with stiffness k=100 N/m . The person throws the ball horizontally, it sticks to the block, and then ball and block slide and compress the spring a distance 1=0.75 m away from equilibrium before the...
A person with mass mp=80 kg is standing at rest on a horizontal, frictionless surface holding...
A person with mass mp=80 kg is standing at rest on a horizontal, frictionless surface holding a ball of wet clay with mass mg=10 kg . In front of the person is a large block with mass M=20 kg at rest next to a spring with stiffness k=100 N/m . The person throws the ball horizontally, it sticks to the block, and then ball and block slide and compress the spring a distance 1=0.75 m away from equilibrium before the...
A person with mass mp = 70 kg stands on a spinning platform disk with a...
A person with mass mp = 70 kg stands on a spinning platform disk with a radius of R = 2.1 m and mass md= 187 kg. The disk is initially spinning at ω = 1.4 rad/s. The person then walks 2/3 of the way toward the center of the disk (ending 0.7 m from the center).   1. What is the total moment of inertia of the system about the center of the disk when the person stands on the...
A person with mass mp = 78 kg stands on a spinning platform disk with a...
A person with mass mp = 78 kg stands on a spinning platform disk with a radius of R = 2.37 m and mass md = 198 kg. The disk is initially spinning at ω = 1.4 rad/s. The person then walks 2/3 of the way toward the center of the disk (ending 0.79 m from the center). 1)What is the total moment of inertia of the system about the center of the disk when the person stands on the...
A twisting swing has a plank seat 2ft wide of negligible mass. It takes a force...
A twisting swing has a plank seat 2ft wide of negligible mass. It takes a force of 20 punds applied to each side of the seat edge to twist a 180 pound person sitting in the seat. That force is pprox. costant as the person is wrapped up 5 twists. After being released from rest it takes 8 seconds to unwind if teh person extended their full height of 6 feet, and 4 sec if they are doubled up to...
Socola and Brooke are balanced on a teeter-totter plank as shown below. Socola has a mass...
Socola and Brooke are balanced on a teeter-totter plank as shown below. Socola has a mass of 7.7 kg, and Brooke’s mass is 53 kg. Brooke is located 1.0 m from the pivot. Assume the plank is massless, and calculate how far Socola is from the pivot (x).
A uniform plank of mass M and length L leans against a vertical wall. The initial...
A uniform plank of mass M and length L leans against a vertical wall. The initial angle it makes with the horizontal ground is 60º. It is let go from rest and slides down frictionlessly. The moment it leaves contact with the wall, what angle does it make with the ground? There is no friction anywhere.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT