= A small block of mass m. = 0.540 kg is released from rest at the top of a frictionless, curve-shaped wedge of mass m₂ 3.00 kg, which sits on a frictionless, horizontal surface as shown in Figure a. When the block leaves the wedge, its velocity is measured to be v₁ = 3.00 m/s to the right as shown in Figure b. m1 mi m2 ml? b (a) What is the velocity of the wedge after the block reaches the horizontal surface? m/s to the left (b) What is the height h of the wedge? m

= A small block of mass m. = 0.540 kg is released from rest at the top of a frictionless, curve-shaped wedge of mass m₂ 3.00 kg, which sits on a frictionless, horizontal surface as shown in Figure a. When the block leaves the wedge, its velocity is measured to be v₁ = 3.00 m/s to the right as shown in Figure b. m1 mi m2 ml? b (a) What is the velocity of the wedge after the block reaches the horizontal surface? m/s to the left (b) What is the height h of the wedge? m

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter10: Systems Of Particles And Conservation Of Momentum

Section: Chapter Questions

Problem 62PQ: An astronaut out on a spacewalk to construct a new section of the International Space Station walks...

See similar textbooks

Similar questions

An astronaut out on a spacewalk to construct a new section of the International Space Station walks with a constant velocity of 2.00 m/s on a flat sheet of metal placed on a flat, frictionless, horizontal honeycomb surface linking the two parts of the station. The mass of the astronaut is 75.0 kg, and the mass of the sheet of metal is 245 kg. a. What is the velocity of the metal sheet relative to the honeycomb surface? b. What is the speed of the astronaut relative to the honeycomb surface?
A cart filled with sand rolls at a speed of 1.0 m/s along a horizontal path without friction. A ball of mass m = 2.0 kg is thrown with a horizontal velocity of 8.0 m/s toward the cart as shown in Figure P11.79. The ball gets stuck in the sand. What is the velocity of the cart after the ball strikes it? The mass of the cart is 15 kg. FIGURE P11.79 Problems 79 and 80.
Each Voyager spacecraft was accelerated toward escape speed from the Sun by the gravitational force exerted by Jupiter on the spacecraft. (a) Is the gravitational force a conservative or a nonconservative force? (b) Does the interaction of the spacecraft with Jupiter meet the definition of an elastic collision? (c) How could the space-craft be moving faster after the collision?
There is a compressed spring between two laboratory carts of masses m1 = 105 g and m2 = 212 g. Initially, the carts are held at rest on a horizontal track (Fig. P10.40A). The carts are released, and the cart of mass m1 has velocity vi=2.035i m/s in the positive x direction (Fig. 10.40B). Assume rolling friction is negligible. a. What is the net external force on the two-cart system? b. Find the velocity of cart 2. FIGURE P10.40 Problems 40 and 41.
A 0.450-kg hammer is moving horizontally at 7.00 m/s when it strikes a nail and comes to rest after driving the nail 1.00 cm into a board. Assume constant acceleration of the hammer-nail pair.a. Calculate the duration of the impact.b. What was the average force exerted on the nail?
a. A bullet of mass m is fired into a block of mass M that is at rest. The block, with the bullet embedded, slides distance d across a horizontal surface. The coefficient of kinetic friction is mk. Find an expression for the bulleť's speed v bullet. b. What is the speed of a 10 g bullet that, when fired into a 10 kg stationary wood block, causes the block to slide 5.0 cm across a wood table?
A. If you catch the ball, with what speed do you and the ball move afterwards? B. If the ball hits you and bounces off your chest so that afterward it is moving horizontally at 8.25 m/s in the opposite direction, what is your speed after the collision?
1. A racquetball is hit straight upward with an initial velocity of 222m/s. The mass of a racquetball is approximately 0.04270.04270.0427 kg. Air resistance acts on the ball with a force numerically equal to 0.5v, where v represents the velocity of the ball at time t. a. Find the velocity of the ball as a function of time. b. How long does it take for the ball to reach its maximum height? c. If the ball is hit from an initial height of 111 meter, how high will it reach? 2. The weight of a penny is 2.52.52.5 grams, and the upper observation deck of the Empire State Building is 369369369 meters above the street. Since the penny is a small and relatively smooth object, air resistance acting on the penny is actually quite small. We assume the air resistance is numerically equal to 0.0025v0.0025?0.0025v. Furthermore, the penny is dropped with no initial velocity imparted to it. a. Set up an initial-value problem that represents the falling penny. b. Solve the problem for v(t)?(?)v(t).…
A 50.0 kg driver is riding at 35.0 m/s in her red sports car when she must suddenly slam on the brakes to avoidhitting a deer crossing the road. She strikes the air bag, which brings her body to a stop in 0.500 s.a. What average force does the seat belt exert on her? b. If she had not been wearing her seat belt and not had an air bag, then the windshield would have stopped herhead in 0.002 s. What average force would the windshield have exerted on her? c. What is the impulse delivered to her when the air bag changes her momentum? d. What is the impulse delivered to her when the windshield changes her momentum? e. Compare the two impulses calculated in c and d and justify the results.
Amswer both parts or none Part A - A ball is thrown straight down with an initial speed of 2.4 m/s from a height of 75 m. What is the position of the ball after 2.6 s, in meters? Use g = 10 m/s2. Part B - Two big bugs, Buzz and Crunchy each of mass 0.60 kg, are siting on a spinning disk on a horizontal plane. Buzz is sitting halfway and Crunchy is sitting at the outer edge as shown. The radius of the disk is 4.3 m and it spins with an angular speed of 90 degrees/second. What is the magnitude of the net force on Crunchy, in Newtons?
3. An m = 55 kg sprinter, when starting a race, pushes back horizontally on the starting block with an average F = 590 N force for a time interval of t =0.68 second. a. What is the speed, in m/s, of the sprinter at the end of the 0.68 s? b. What is the distance, in meters, the sprinter traveled during the 0.68 s time interval?
A 23.4 kg object moves at 10.4 m/s. Meanwhile, another body along the same direction with a mass /26.8 kg is at rest. d. Find the final relative speed of the first object to the second object. e. Compute for the coefficient of restitution.