Solve the problem by showing complete solutions and illustration. Three objects (object A, B and C) of the same mass are fired horizontally upward, at an angle of 30°, 45° and 60° respectively. which among the three objects will reach the highest (height) and farthest (range)? Explain and show proof

Solve the problem by showing complete solutions and illustration. Three objects (object A, B and C) of the same mass are fired horizontally upward, at an angle of 30°, 45° and 60° respectively. which among the three objects will reach the highest (height) and farthest (range)? Explain and show proof

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter11: Collisions

Section: Chapter Questions

Problem 66PQ: Two pucks in a laboratory are placed on an air table (Fig. P11.66). Puck 2 has four times the mass...

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Two pucks in a laboratory are placed on an air table (Fig. P11.66). Puck 2 has four times the mass of puck 1 (m2 = 4m1). Initially, puck 1s speed is three times puck 2s speed (v1i = 3v2i), puck 1s position is r1i=x1ii, and puck 2s position is r2i=y2ij. The pucks collide at the origin. a. Copy Figure P11.66 and then add vCM to your sketch. b. Does puck 2 travel a greater distance, lesser distance, or the same distance as puck 1? c. Find an expression for y2i in terms of x1i. d. If puck 1 moves 1.33 m, how far does puck 2 move before the collision? FIGURE P11.66 Problems the origin.
Two sticky balls are swinging in this scenario. The first one has a mass of 0.021kg and has the speed of 1.51 m/s. The other sticky ball has a mass of 0.031 kg and has a speed of 0.51m/s. The other sticky has a velocity angle of 61 degrees relative to the first sticky ball. The balls impact each other and stick together.What are the speed and drection of the resulting sticky ball?
Just a little something on momentum and kinetic energy. As a reminder, momentum is a vector and: p = mv K = 1/2 mv2 = 1/2 pv = p2/2m In terms of the dot product: v2 = v⋅v, p2 = p⋅p, and pv = p⋅v. Unlike speed vs. velocity, but like all other vectors, momentum may refer to the magnitude of the momentum vector. Now, answers the following questions: 1) A 7-kg particle goes 96 m/s. Calculate its momentum in kg*m/s. (This requires an exact answer.) 2) A 7-kg particle's momentum is (392, 61) kg*m/s. Calculate its kinetic energy. 3) A pebble and a grapefruit have the same momentum. Which has the greater kinetic energy?
A marksman holds a 3.00 kg rifle loosely, so that we can ignore any horizontal external forces acting on the rifle–bullet system. He fires a bullet of mass 5.00 g horizontally with a speed vbullet=300m/s. The same rifle fires a bullet with mass 10.5 g at the same speed as before. For the same idealized model, find the ratio of the final kinetic energies of the bullet and rifle.
Three carts are moving on a frictionless horizontal track as shown in the figure. The 4.00 kg cart is moving to the right with a speed of 7.0 m/s, the 10.0 kg cart is also moving to the right with a speed of 6.0 m/s while the 3.00 kg cart moves to the left with a speed of 7 m/s. Find the final speed of the carts when they are all stuck together. Hint: The order at which the carts stick together does not matter. Can you see why?
Taking the density of air to be 1.29 kg/m^3, what is the magnitude of the linear momentum of a cubic meter of air moving with the following wind speeds? (A) 26 km/h (b) 74 mi/h - the wind speed at which a tropical storm becomes a hurricane
Taking the density of air to be 1.29 kg/m^3, what is the magnitude of the linear momentum of a cubic meter of air moving with the following wind speeds? 46 km/h 74 mi/h - the wind speed at which a tropical storm becomes a hurricane
The instantaneous positions and velocities of three particles are shown in the figure below. Find: (a) the position of the CM; (b) the velocity of the CM; (c) the position of the CM 3.00 s later if there is no external force acting. Can you please show all work
In the figure, a 20 kg bullet with velocity v passes through a 0.5 kg pendulum and exits with velocity v / 2. The pendulum is 2.5 m long and is suspended from a rope of negligible mass. What is the minimum velocity of the projectile for the pendulum to move in a complete vertical circle? (g = 10 m / s ^ 2)
The ballistic pendulum is an apparatus used to measure the speed of a fast-moving projectiles, such as the bullet. A bullet of mass m1 = 12 gis fired into alarge block of wood of mass m2 = 6 kg suspended from some light wires. The bullet embeds in the block in the entire system swings to a maximum height of 3.50 m. a. Derive an expression for the velocity of the bullet. (Hint: Both concepts of conservation of energy and conservation of momentum will be employed in this problem.) b. What is the velocity of the bullet in m/s?
Suppose that a 117.5 kg football player running at 8.5 m/s catches a 0.44 kg ball moving at a speed of 25.5 m/s with his feet off the ground, while both of them are moving horizontally. part a) Calculate the final speed of the player, in meters per second, if the ball and player are initially moving in the same direction. part b) Calculate the change in kinetic energy of the system, in joules, after the player catches the ball. part c) Calculate the final speed of the player, in meters per second, if the ball and player are initially moving in opposite directions. part d) Calculate the change in kinetic energy of the system, in joules, in this case.
1. What does the rate of change of linear momentum of a system represent? a. The mechanical energy of the system. b. The net external force acting on the system. c. The kinetic energy of the system. d. The acceleration of the system. 2. What physical quantities are conserved during an elastic collision? a. Linear momentum b. Mass c. Kinetic energy d. All the answers are correct.