Question: On a very muddy football field, a 110-kg linebacker tackles an 85-kg halfback. Immediately before the collision, the linebacker is slipping with a velocity of 8.8 m/s north and the halfback is sliding with a velocity of 7.2 m/s east. What is the velocity (magnitude and direction) at which the two players move together
Block 1, of mass = 3.30, moves along a frictionless air track with speed = 31.0. It collides with block 2, of mass = 15.0 , which was initially at rest. The blocks stick together after the collision A.) Find the magnitude of the total initial momentum of the two-block system. Express your answer numerically. B.) Fi
See attached file for full problem description with proper symbols. --- Two ice skaters, with masses of 50.0 and 75.0 , are at the center of a 40.0 -diameter circular rink. The skaters push off against each other and glide to opposite edges of the rink. a.) If the heavier skater reaches the edge in 10.0, how long does
Puck 1 of mass m1=.20kg is sent sliding across a frictionless lab bench, to undergo a one-dimensional elastic collision with the stationary puck 2. Puck 2 then slides off the bench and lands a distance d from the base of the bench. Puck 1 rebounds from the collision and slides off the opposite edge of the bench, landing a distan
A diver can change her rate of rotation in the aair by "tucking" her head in and bending her knees. Let's assume that when she is stretched out straight she is rotating at 1 revolution per second. Now she goes into the "tuck and bend", effectively shortening the length of her body by half. What will her rate of rotation be now?
Consider two uniform solid spheres where both have the same diameter, but one has twice the mass of the other. The ratio of the larger moment of inertia to that of the smaller moment of inertia is a. 10 b. 4 c. 6 d. 2 e. 8
How fast must a 10.5g bullet be traveling when it strikes a ballistic pendulum that consist of a block of wood of mass 3.0kg that is suspended by a cord? The bullet gets embedded in the block. The block rises by .22m after the impact. a. 143 m/s b. 595 m/s/s c. 595 m/s d. 2.67 m/s
1. A car crashes into a wall at 25 m/s and is brought to the rest in 0.1 s. Calculate the average force exerted on a 75-kg test dummy by the seat belt. 2. A railroad diesel engine weighs four times as much as a freight-car. If the diesel engine coasts at 5 km/h into a freight-car that is initially at rest, how fast do the
Problem: Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. One is moving upward along the y axis at 2.0 m/s, and the other is moving to the right along the x axis with speed 3.8 m/s. After the collision (assumed elastic), the second ball is moving along the positive y axis.
A child in a boat throws a 6.00 kg package out horizontally with a speed of 10 m/s. Calculate the velocity of the boat immediately after, assuming it was initially at rest. The mass of the child is 24.0 kg and that of the boat is 50.0 kg.
A 0.025kg bullet traveling at 305m/s strikes a 1.500 kg ballistics pendulum hanging from a 2.00 m long string and buries itself in the block. How many degrees backward will the block swing? Do not use the law of conservation of momentum.
Two cars, both of mass m, collide and stick together. Prior to the collision, one car had been traveling north at speed 2v, while the second was traveling at speed v at an angle omega south of east. After the collision, the two-car system travels at speed v_final at an angle theta east of north. What is the angle theta with resp
Consider a ducted propeller system, which is moving forward at a velocity V1. Analyse the system by assuming the duct remains stationary, as shown in the above diagram. If, for a specific design and point of operation, V2/V1=9/4 and V1/V2=5/4, then what is the thrust produced by the propeller in terms of the pressures at 2 and 3
The 6lb slender rod AB is originally shown at rest, suspended in the vertical position. A 1lb ball is thrown at the rod with the velocity v= 50ft/s and strikes the rod at C. Determine the angular velocity of the rod just after the impact. Take e = 0.7 and d= 2ft. (See attachment for diagram)
A 7.45g bullet from a 9mm pistol has a velocity of 353m/s. It strikes the 0.725kg block of a ballistic pendulum and passes completely through the block. If the block rises through a distance h=12.1cm, what was the velocity of the bullet as it emerged from the block?
A man weighs 150lb and jumps onto a boat which is originally at rest. If he has a horizontal component of velocity of 3 ft/s just before he enters the boat, determine the weight of the boat if it has a velocity of 2 ft/s once the man enters it.
Two men A and B, each having a weight of 160lb, stand on the 200lb cart with wheels. Each man runs with a speed of 3 ft/s measured relative to the cart. Determine the final speed of the cart if a.) A runs and jumps off, then B runs and jumps off the same end, and b.) both run at the same time and jump off at the same time. Negle
Basic Physics (Change of Momentum; Average Force Used; Average Angular Speed; Coefficient of Static Friction, etc ... )
18. A 0.20-kg billiard ball traveling at a speed of 15 m/s strikes the side rail of a pool table at an angle of 60 degrees. If the ball rebounds at the same speed and angle, what is the change of momentum? 34. When bunting, a baseball player uses the bat to change both the speed and direction of the baseball. (a) Will the mag
For the attached problem set, the answers are included. The solution therefore should provide the work - how were the answers calculated? 7. The linear momentum of a runner in a 100-m dash is 7.5 * 10 kg * m/s. If the runner's speed is 10m/s, what is his mass? 13. A 15.0-g rubber bullet hits a wall with a speed of 150m/s.
An astronaut performs maintenance work outside her spaceship when the tether connecting her to the spaceship breaks. The astronaut finds herself at rest relative to the spaceship, at a distance x1 from it. To get back to the ship, she decides to sacrifice her favorite wrench and hurls it directly away from the spaceship at a spe
A 7.2 kg bowling ball moving at 2.74 m/s strikes an identical ball that is originally at rest. After the collision the path of the intitially moving ball makes an angle of 27 degrees with respect to its original path. The path of the second ball makes an angle of -53 degrees with respect to the same direction. What is the speed
A 9.72-g bullet is fired from a 30-30 rifle at a speed of 728 m/s into the 1.250 kg block of ballistic pendulum suspended by strings 3.9 m long. A) through what vertical distance does the block rise? B) how far does it swing horizontally? The book key is showing 1.61m for A.) and 3.16m for B.). Please show the workings t
Please answer each question with step by step answers so I understand the solutions. Thanks! 1. A space probe is in deep space far beyond the edge of the solar system when it uses up all its nuclear fuel. What is true? (a) The space probe will immediatly come to a stop (b) The space probe will very slowly come to a stop (
A Steel pile is driven a distance (d) into the ground by a hammer of mass (M) 450kg, dropped from a height (h) of 3.25m above the top of the pile. The mass of the pile (m) is 40kg and the average resistance of the ground to penetration (Fr) is 45kN. Calculate: b. The velocity and kinetic energy of the hammer-pile combinati
Please see attached. Thank you!
1. Conservation of Momentum and COM reference frame: Two particles are sliding directly towards each other on a frictionless surface. According to an observer in the laboratory reference frame, a 3.00kg particle moves to the right at 10.00m/s and a 5.00kg particle moves towards the left at 2.00m/s. After the head-on collision, t
A 1200 kg car is moving east at 30 m/s and collides with a 3600 kg truck moving at 20 m/s in a direction 60 degrees north of east. The vehicles interlock and move off together. Find their velocity (magnitude and direction). OK, I used conservation of linear momentum and said that the final velocities were equal. Dividing the
An object at rest explodes into three pieces of equal mass. One moves east at 20 m/s; a second moves 45 degrees south of east at 30 m/s. What is the velocity of the third piece? OK, I know that the initial linear momentum of zero must be conserved, so I can start summing my momentum in the x and y directions. I'm just confuse
In Fig. 9-32a, a 5.1 kg dog stands on an 21 kg flatboat and is 6.1 m from the shore. He walks 2.1 m on the boat toward shore and then stops. Assuming there is no friction between the boat and the water, find how far the dog is then from the shore? (Hint: See Fig. 9-32b. The dog moves leftward; the boat moves rightward; but does
A shell is fired from a gun with a muzzle velocity of 14 m/s, at an angle of 60° with the horizontal. At the top of the trajectory, the shell explodes into two fragments of equal mass (Fig. 9-30). One fragment, whose speed immediately after the explosion is zero, falls vertically. How far from the gun does the other fragment la