Whisker\'s the cat sits in an 8 kg sled (8kg for just the sled alone) which is l

Question

Whisker's the cat sits in an 8 kg sled (8kg for just the sled alone) which is lanched up a snowy hill by by her malicious owner, as shown to the right. Bothe the cat and the sled move together as they come to a momentary stop some where up the hill. A complete force diagram for the cat is shown below for the moment drawn in the picture. Assume air resistance is negaligible. Find the cat's acceleration vector. You should leave it in component form, i.e., [a_x, a_y], but you must show/explain how you found it! Draws the sled's force diagram in the space provided below, making sure to draw all forces are drawn sclae. Please use g = 10m/s^2. Show your work in the space below or on a sepaerate page. You should treat the force of the ground on the sled as one single force and not break it up into a normal and friction component. Complete diagram for whiskers, 1 square = 10 N Incomplete diagram for sled 1 square =10N

Explanation / Answer

Apply F=ma for sled

along downwards along the slope; Mg*sin(x) = M*a ; M-mass of sled= 8

a= g*sin(x)

perpendicular to surface; R- Mg*cos(x)= 0 ; acceleration along that direction=0;

cat's acceleration=sled's accelearation = [ax,ay]=[acos(x),asin(x)]= [gsin(x)cos(x),gsin2(x)] ;

there is no information on the slope's angle, mass of the cat or atleast when the system stops or where.

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