Question

In: Physics

A small girl is skating around on an ice rink. Her mass is 30 kg, and...

A small girl is skating around on an ice rink. Her mass is 30 kg, and her speed is 4.0 m/s. She sees a 50 kg sled at rest on the rink that was left there by a careless worker, and she decides to jump onto the sled. Assume no friction between the sled and the ice.

a. Find the child-sled system’s speed immediately after the child jumps onto the sled.

b. Find the child-sled system’s kinetic energy immediately after the child jumps onto the sled.

After coasting around for a while, she jumps off the sled in such a way that she is stationary relative to the ice.

c. Find the sled’s speed after she jumps off it.

d. Find the girl-sled system’s kinetic energy when she is at rest on the ice.

e. Is the energy greater in part (d) than it was in (b)? If so, from where did the energy come? If the energy is less in part (d) than it was in part (b), where did the energy go?

Solutions

Expert Solution


Related Solutions

Moe and Larry are ice skating at their neighborhood rink. Moe (100 kg) is heading north...
Moe and Larry are ice skating at their neighborhood rink. Moe (100 kg) is heading north at 3 mys when he collides with Larry (75 kg) who is heading east at 2 m/s. They fall in a heap on the ice and cling on to each other for dear life as they go skidding across the rinK. a lf momentum is conserved in this collision, write out the equation or equations for momentum conservation. Otherwise, indicate NOT CONSERVED. b if...
A bloke of mass 5 kg slides along an ice rink with a velocity of 3...
A bloke of mass 5 kg slides along an ice rink with a velocity of 3 m/s. It strikes another block of mass 4 kg in a perfectly elastic collision sending the second block sliding along the ice. The second block them collides with a third block with a massive 5 kg. Assuming to find a collision is perfectly elastic what is the velocity of the final block
‏The ceiling of an ice skating rink should have a high reflectivity to avoid condensation on...
‏The ceiling of an ice skating rink should have a high reflectivity to avoid condensation on the ceiling . If condensation forms on the ceiling , water may drip ca ice . The rink has a diameter of 50m and a height of 12m . The temperature of the ice and walls are -5 ° C and 15 ° C respectively . The air in the rink is also at 15 ° C Neglect the convective losses to the outside...
Two friends, Al and Jo, have a combined mass of 166 kg. At the ice skating...
Two friends, Al and Jo, have a combined mass of 166 kg. At the ice skating rink, they stand close together on skates, at rest and facing each other. Using their arms, they push on each other for 1 second and move off in opposite directions. Al moves off with a speed of 5.9 m/sec in one direction and Jo moves off with a speed of 9.7 m/sec in the other. You can assume friction is negligible. 1)What is Al's...
Mickey Mouse and Minnie Mouse compete on a skating rink. Mickey has the mass m =...
Mickey Mouse and Minnie Mouse compete on a skating rink. Mickey has the mass m = 30kg, and skates to the east with the directional velocity v = 5m / s. Minnie has a mass of m = 20 kg and is firing straight into Micky's lap. In the collision, they embrace and travel both to the east, at a velocity of v = 1m / s. What was the speed of the Minnie Mouses direction for the collision?
Evaluate a 4-year investment opportunity in a new ice-skating rink. The purchase price is $8.4M. Shipping...
Evaluate a 4-year investment opportunity in a new ice-skating rink. The purchase price is $8.4M. Shipping installation costs are $600K. The capitalized value of the asset (i.e., its beginning book value) will be depreciated down to an end-of-life book value of 0.5 M. The anticipated selling price of machine is 1M. The ice rink is expected to provide cash sales of $14.1M per year and will require cash expenditures of $9.3M each year. Also, at t=0, working capital will rise...
A girl and her bicycle have a total mass of 42 kg. At the top of...
A girl and her bicycle have a total mass of 42 kg. At the top of the hill her speed is 4.00 m/s. The hill is 14.3 m high and 112 m long. If the force of friction as she rides down the hill is 20N. what is her speed at the bottom?
Mahmut with mass 70.0 kg and Güllü with mass 45.0 kg are skating. While Mahmut stands...
Mahmut with mass 70.0 kg and Güllü with mass 45.0 kg are skating. While Mahmut stands at rest, He is struck by Güllü. She is moving at 15.0 m/s before she collides with him. Güllü has a velocity of magnitude 10.00 m/s at an angle of 55.0 ∘ from her initial direction after the collision. Both skaters move on the frictionless and horizontal surface . a)Find the magnitude of Mahmut's velocity after the collision? b)Find the direction of Mahmut's velocity...
Daniel with mass 65.0 kg and Rebecca with mass 45.0 kg are skating. While Daniel stands...
Daniel with mass 65.0 kg and Rebecca with mass 45.0 kg are skating. While Daniel stands at rest, He is struck by Rebecca. She is moving at 13.0 m/s before she collides with him. Rebecca has a velocity of magnitude 6.00 m/s at an angle of 55.1 ∘ from her initial direction after the collision. Both skaters move on the frictionless and horizontal surface . a)Find the magnitude of Daniel's velocity after the collision? b)Find the direction of Daniel's velocity...
A girl of mass, m = 40 kg has osteoporosis which weakens her bones. From a...
A girl of mass, m = 40 kg has osteoporosis which weakens her bones. From a kneeling position, she topples forward onto her elbows with her upper arms extended vertically downwards on impact with the ground. In falling forward, her centre of mass lowers by a height, h = 50 cm and she absorbs all of her kinetic energy from her fall into her two humerus bones (one bone in each upper arm). Determine an equation for the stress in...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT