1. A woman with mass m 1 is ice-skating toward the east on a frictionless frozen
ID: 2258500 • Letter: 1
Question
1.
A woman with mass m1 is ice-skating toward the east on a frictionless frozen lake when she collides with a mass of mass m2 who is ice-skating toward the west. The maximum force exerted on the woman by the man during the collision has a magnitude F, and is directed west. Take the east to be positive direction of the x-axis. State your answer in terms of the given variables. (Indicate the direction with the sign of your answer. Use any variable or symbol stated above as necessary.) (a) What is the maximum force on the man from the woman, including direction?
Fmax =
(b) What is the maximum acceleration of the woman, including direction?
amax =
(c) What is the maximum acceleration of the man, including direction?
amax =
2.
A loaded penguin sled with weight W rests on a plane inclined at angle to the horizontal (see figure). Between the sled and the plane, the coefficient of static friction is s, and the coefficient of kinetic friction is k. (Use any variable or symbol stated above as necessary.)
3.
An old streetcar rounds a flat corner of radius r, at a speed v. What angle with the vertical will be made by the loosely hanging hand straps? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)
=
4.
The figure below shows a conical pendulum, in which the bob (the small object at the lower end of the cord) moves in a horizontal circle at constant speed. (The cord sweeps out a cone as the bob rotates.) The bob has a mass m, the string has a length L and negligible mass, and the bob follows a circular path of the circumference C. What are the tension in the string and the period of the motion? (Use any variable or symbol stated above along with the following as necessary: g for the acceleration of gravity.)
5.
In Figure 5-62, 3.2 kg block A and 6.0 kg block are connected by a string of negligable mass. Force FA = (10 N) acts on block A; force FB = (24 N) acts on block B. What is the tension in the string?
N
6.
A 17 kg block of steel is at rest on a horizontal table. The coefficient of static friction between block and table is 0.53.
period =
Explanation / Answer
1)
a)F,towards east
b)-F/m1 ,towards west
c)F/m2 , towards east
2)
a)W(sin - s cos )
b)W(sin + s cos )
c)W(sin + k cos )
6) a)17*9.8*0.53
=88.298 N
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