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
Moment of inertia of a circular ring of mass M and radius a about a line through its centre perpendicular to its plane
Moment of inertia of a solid sphere
A satellite is at rest in space when destroyed by a hostile alien space ship. One piece that is 100 kg floats away at a speed of 0.80C. Another piece floats away with a speed of 0.90C away from the explosion in the opposite direction. What is the mass of the piece that flew away in traveling at 0.90C. Determine this two ways
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
A 3kg ball of putty moving at 1 m/s collides and sticks to a 2kg ball initially at rest. The putty and ball then move with a momentum of:
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.
The problem is related to variable mass systems. A cylinder is moving through dust particles and the particles are sticking to it. A mass in the form of a solid cylinder, of radius c acted upon by no forces, moves parallel to its axis through a uniform cloud of fine dust, of volume density , which is at rest. If the partic
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 uniform 2.45kg spinning disk with a radius of 0.243m is brought to rest by a brake pad pressed against the side 0.183m from the rotation axis. The wheels is brought to rest from an angular velocity of 15.4rad/s in a time of 24.3s. What frictional force was applied by the brake pad.
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 1500-kg car traveling due East at 30 m/s crashes into a 2000-kg vehicle heading North at 25 m/s, exactly in the center of an icy intersection and the two remain stuck together. Ignoring frictional forces, determine the initial velocity and direction of the crumpled vehicles immediately after the crash.
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 ball of mass 2 m is projected upward with speed Vo(or V=0)from the floor. Another ball of mass m is hung from the ceiling by a light string at a height h directly above the first ball, so that the projected ball collides with it. Derive an expression for the height about the floor to which the second ball will rise as a funct
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