1083

Physics Rotational Mechanics Level: High School

Four objects are situated along the y axis as follows: a 2.10 kg object is at +3.30 m, a 3.34 kg object is at +2.48 m, a 2.86 kg object is at the origin , and a 3.60 kg object is at -0.440 m . Where is the center of gravity of this system ?



1082

Physics Work,Power & Energy Level: High School

Inelastic collision

A gun is fired vertically into a m = 1.46 block of wood at rest on a thin horizontal sheet directly above it , as shown in the figure at “click here” . If the bullet has a mass of 21.0 g and a speed of v = 3210 m/s , how high will the block rise into the air after the bullet becomes embedded in it ?



1081

Physics Work,Power & Energy Level: High School

Collision

Two carts of equal mass , m = 0.220 kg , are placed on a frictionless track that has a light spring of force constant k = 54.8 N/m attached to one end of it, as in the figure at “click here” . The red cart is given an initial velocity of Vo = 3.39 m/s to the right , and the blue cart is initially at rest .

(a) If the carts collides elastically, find the magnitude of the velocity of the red cart just after the first collision .

(b) Find the magnitude of the velocity of the blue cart just after the first collision .

(c) Find the maximum compression of the spring .




1080

Physics Work,Power & Energy Level: High School

Elastic collision

A block of mass m = 2.32 kg slides down an infinite = 27.8 degree incline which is h = 3.52 m high . At the bottom , it strikes a block of mass M = 7.44 kg which is at rest on a horizontal surface , as seen in figure at “click here" (Assume a smooth transition at the bottom of the incline .) If the collision is elastic , and friction can be ignored ,

(a) Determine the speed of the smaller block after the collision .

(b) Determine the speed of the bigger block after the collision .




1079

Physics Force & Laws Of Motion Level: High School

Conservation of linear momentum

A 2115 kg car traveling at 11.8 m/s collides with a 3075 kg car that is initially at rest at a spotlight . The cars stick together and move 1.94 m before friction causes them to stop . Determine the coefficient of kinetic friction between the cars and the road , assuming that the negative acceleration is constant and all wheels on both cars lock at the time of impact .



1078

Physics Force & Laws Of Motion Level: High School

Conservation of linear momentum

A 2115 kg car traveling at 11.8 m/s collides with a 3075 kg car that is initially at rest at a spotlight . The cars stick together and move 1.94 m before friction causes them to stop . Determine the coefficient of kinetic friction between the cars and the road , assuming that the negative acceleration is constant and all wheels on both cars lock at the time of impact .



1077

Physics Work,Power & Energy Level: High School

Conservation of linear momentum and inelastic collision

An 8.56 g bullet is fired into a 255 g block that is initially at rest at the edge of a table of h = 1.04 m height (see the figure at “click here”) . The bullet remains in the block, and after the impact the block lands d = 1.87 m from the bottom of the table . Determine the initial speed of the bullet .



1076

Physics Force & Laws Of Motion Level: High School

Conservation of linear momentum

High speed stroboscopic photographs show that the head of a 218 g golf club is traveling at 59.4 m/s just before it strikes a 45.6 g golf ball at rest on a tee . After the collision the club head travels (in the same direction) at 38.2 m/s . Find the speed of the golf ball just after impact .



1075

Physics Force & Laws Of Motion Level: High School

Conservation of linear momentum

(a) A 0.420 kg ice puck, moving east with a speed of 3.16 m/s , has a head-on collision with a 0.940 kg puck initially at rest . Assuming a perfectly elastic collision , what is the speed of the lighter puck ? Use east as the positive axis .

(b) What is the speed of the heavier puck ?




1074

Physics Force & Laws Of Motion Level: High School

Conservation of linear momentum

A 2.85 kg sphere makes a perfectly inelastic collision with a second sphere that is initially at rest . The composite system moves with a speed equal to one fifth the original speed of the 2.85 kg sphere . What is the mass of the seconds sphere ?



1073

Physics Force & Laws Of Motion Level: High School

Conservation of linear momentum

An 83.0 kg astronaut is working on the engines of his spaceship , which is drifting through space with a constant velocity . The astronaut , wishing to get a better view of the Universe , pushes against the ship and later finds himself 34.5 m behind the ship and moving so slowly that he can be considered to be at rest . Without a thruster , the only way to return to the ship is to throw his 0.504 kg wrench directly away from the ship . If he throws the wrench with a speed of 21.8 m/s , how many seconds does it take him to reach the ship ?



1072

Physics Force & Laws Of Motion Level: High School

Conservation of linear momentum

A 8100 kg boxcar traveling at 14.4 m/s strikes a second car. The two stick together and move off with a speed of 5.26 m/s . What is the mass of the second car ?



1071

Physics Force & Laws Of Motion Level: High School

Conservation of linear momentum

A 5780 open railroad car coasts along with a constant speed of 8.78 m/s on a level track , Snow begins to fall vertically and fills the car at a rate of 3.50 kg per minute .Ignoring friction with the tracks , what is the speed of the car after 93.0 min ?



1070

Physics Force & Laws Of Motion Level: High School

Find the speed at which Superman (mass = 79.0 kg) must fly into a train (mass = 16621 kg) traveling at 95.0 km/hr to stop it .



1069

Physics Force & Laws Of Motion Level: High School

(a) A 120 kg astronaut (including space suit) acquires a speed of 2.64 m/s by pushing off with his legs from an 1860 kg space capsule , What is the change in speed of the space capsule ?

(b) If the push lasts 0.540 s, what is the average force exerted by each on the other ? As the reference frame , use the position of the capsule before the push.


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