A 3.00-kg stone is dropped from a 39.2 m high building. When the stone has fallen 19.6 m, the magnitude of the impulse it has received from the gravitational force is
a. 9.80 N s.
b. 19.6 N s.
c. 29.4 N s.
d. 58.8 N s.
e. 118 N s.
[Ques. 2] Car A rear ends Car B, which has twice the mass of A, on an icy road at a speed low enough so that the collision is essentially elastic. Car B is stopped at a light when it is struck. Car A has mass m and speed v before the collision. After the collision
a. each car has half the momentum.
b. car A stops and car B has momentum mv.
c. car A stops and car B has momentum 2mv.
d. the momentum of car B is four times as great in magnitude as that of car A.
e. each car has half of the kinetic energy.
[Ques. 3] A 4.0-kg mass, initially at rest on a horizontal frictionless surface, is struck by a 2.0-kg mass moving along the x axis with a speed of 8.0 m/s. After the collision, the 2.0-kg mass has a speed of 4.0 m/s at an angle of 37 from the positive x axis. What is the speed of the 4.0-kg mass after the collision?
a. 2.0 m/s
b. 2.7 m/s
c. 4.9 m/s
d. 2.4 m/s
e. 3.6 m/s
[Ques. 4] A 5.0-kg mass with an initial velocity of 4.0 m/s, east collides with a 4.0-kg mass with an initial velocity of 3.0 m/s, west. After the collision the 5.0-kg mass has a velocity of 1.2 m/s, south. What is the magnitude of the velocity of the 4.0-kg mass after the collision?
a. 2.0 m/s
b. 1.5 m/s
c. 1.0 m/s
d. 2.5 m/s
e. 3.0 m/s
[Ques. 5] A 3.0-kg mass moving in the positive x direction with a speed of 10 m/s collides with a 6.0-kg mass initially at rest. After the collision, the speed of the 3.0-kg mass is 8.0 m/s, and its velocity vector makes an angle of 35 with the positive x axis. What is the magnitude of the velocity of the 6.0-kg mass after the collision?
a. 2.2 m/s
b. 2.9 m/s
c. 4.2 m/s
d. 3.5 m/s
e. 4.7 m/s
[Ques. 6] A 1.0-kg object moving 9.0 m/s collides with a 2.0-kg object moving 6.0 m/s in a direction that is perpendicular to the initial direction of motion of the 1.0-kg object. The two masses remain together after the collision, and this composite object then collides with and sticks to a 3.0-kg object. After these collisions, the final composite (6.0-kg) object remains at rest. What was the speed of the 3.0-kg object before the collisions?
a. 15 m/s
b. 10 m/s
c. 5.0 m/s
d. 20 m/s
e. 25 m/s
[Ques. 7] A 5.0-g particle moving 60 m/s collides with a 2.0-g particle initially at rest. After the collision each of the particles has a velocity that is directed 30 from the original direction of motion of the 5.0-g particle. What is the speed of the 2.0-g particle after the collision?
a. 72 m/s
b. 87 m/s
c. 79 m/s
d. 94 m/s
e. 67 m/s
[Ques. 8] A 2.0-kg object moving 3.0 m/s strikes a 1.0-kg object initially at rest. Immediately after the collision, the 2.0-kg object has a velocity of 1.5 m/s directed 30 from its initial direction of motion. What is the y component of the velocity of the 1.0-kg object just after the collision?
a. 3.7 m/s
b. 3.4 m/s
c. 1.5 m/s
d. 2.4 m/s
e. 4.1 m/s
[Ques. 9] A 2.0-kg object moving 3.0 m/s strikes a 1.0-kg object initially at rest. Immediately after the collision, the 2.0-kg object has a velocity of 1.5 m/s directed 30 from its initial direction of motion. What is the x component of the velocity of the 1.0-kg object just after the collision?
a. 3.7 m/s
b. 3.4 m/s
c. 1.5 m/s
d. 2.4 m/s
e. 4.1 m/s
[Ques. 10] An 80-g particle moving with an initial speed of 50 m/s in the positive x direction strikes and sticks to a 60-g particle moving 50 m/s in the positive y direction. How much kinetic energy is lost in this collision?
a. 96 J
b. 89 J
c. 175 J
d. 86 J
e. 110 J
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