Gayle runs at a speed of 3.20 m/s and dives on a sled, initially at rest on the top of a frictionless snow-covered hill. After she has descended a vertical distance of 5.00 m, her brother, who is initially at rest, hops on her back and together they continue down the hill. What is their speed at the bottom of the hill if the total vertical drop is 15.0 m? Gayle's mass is 45.0 kg, the sled has a mass of 5.25 kg and her brother has a mass of 30.0 kg.

Gayle runs at a speed of 3.20 m/s and dives on a sled, initially at rest on the top of a frictionless snow-covered hill. After she has descended a vertical distance of 5.00 m, her brother, who is initially at rest, hops on her back and together they continue down the hill. What is their speed at the bottom of the hill if the total vertical drop is 15.0 m? Gayle's mass is 45.0 kg, the sled has a mass of 5.25 kg and her brother has a mass of 30.0 kg.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A 108 kg man is skiing across level ground at a speed of 9.5 m/s when he comes to the small slope 1.2 m higher than ground level shown in the following figure. -8.0 m- f1.2 m (a) If the skier coasts up the hill, what is his speed (in m/s) when he reaches the top plateau? Assume friction between the snow and skis is negligible. 8.16 m/s (b) What is his speed (in m/s) when he reaches the upper level if a 75 N frictional force acts on the skis? 6.31 X m/s
A 5 kg blue block is released from rest at point A (3m high) and slides down a track. The track consists of acurved ramp and a horizontal surface seamlessly connected. The whole track is frictionless except for theportion between point B and C, which has a length of 6m. The coefficient of kinetic friction is µk = 0.35.(a) Please find out the velocity of the blue block when it arrives at the bottom of the ramp. .(b) Please find out whether the block can pass through the rough region BC. If you believe it can passthrough, please find out its speed when it arrives at point C. If you believe it cannot pass through andstop somewhere on the track, please identify its final position with the distance to point B..(c) Determine how much heat is generated at the rough surface due to friction. .
The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 10 and 31 kg. If A and B are 3.0 and 1.5 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B? (a) VB= (b) VB= (c) KEheavier KElighter Number i Number i Number i VA= 0 m/s "A=0 m/s AT K HA B hg Units Units Units <
A 60.0 kg skier with an initial speed of 15 m/s coasts up a 2.50 m high rise as shown in the figure. what is her final speed given the coefficient of friction between her skies and the snow is 0.39
Sam, whose mass is 80 kgkg , takes off across level snow on his jet-powered skis. The skis have a thrust of 160 NN and a coefficient of kinetic friction on snow of 0.10.1. Unfortunately, the skis run out of fuel after only 15 ss . What is Sam's top speed? Express your answer to two significant figures and include the appropriate units. How far has Sam traveled when he finally coasts to a stop? Express your answer to two significant figures and include the appropriate units.
A child and sled with a combined mass of 58.0 kg slide down a frictionless slope. If the sled starts from rest and has a speed of 2.00 m/s at the bottom, what is the height of the hill?
A farmer pulls a 0.6 kg bucket full of water from a well, only slightly accelerating it from 0.4 m/s to 1.0 m/s over the depth of 7.0 m. How many Newtons of average force was the farmer exerting on the rope? Hint: gravity also does work. Farmer's force is more than gravity
I need help with this physics question #2
The drawing shows two boxes resting on frictionless ramps. One box is relatively light and sits on a steep ramp. The other box is heavier and rests on a ramp that is less steep. The boxes are released from rest at A and allowed to slide down the ramps. The two boxes have masses of 8 and 33 kg. If A and B are 4.5 and 0.5 m, respectively, above the ground, determine the speed of (a) the lighter box and (b) the heavier box when each reaches B. (c) What is the ratio of the kinetic energy of the heavier box to that of the lighter box at B? (a) VB= (b) VB= (c) KEheavier KElighter Number i Number i = Number i VA= 0 m/s A HA B- hg VA= 0 m/s Units Units Units
Sara throws a baseball to Janice. The baseball has a mass of 0.142kg. It is 1.1m above the ground, moving at 15m/s when sara lets go of it. Ignore the effects of air resistance. The baseball is moving horizontally at 13m/s when it reaches maximum height. Calculate the maximum height reached by the baseball.
10. Block 1 with a mass of 1.0 kg slides down a frictionless ramp with a height of 3.0 m and cllides with block 2 which has a mass of 2.0 kg. The flat surface has friction with a friction coefficient of 0.50. 2 a. Determine the speed of block 1 when it reaches the bottom of the ramp.
A 145 kg crate slides down a ramp, starting from rest. The ramp is inclined at an angle of 20.6 degrees with respect to the horizontal and has a height of 1.74 m. The crate is placed on frictionless casters so that it slides down the ramp without friction. What is the final speed of the crate (in m/s) just as it reaches the bottom of the ramp? Use g = 9.81 m/s?.