A boy cruising across a smooth, level sidewalk is approaching a pipe guard-rail. It seems like a good idea for him to jump over the rail and let the skateboard pass under the rail. The mass of the boy is 38.8 kg, the mass of the skateboard is 2.43 kg, the initial cruising speed is +5.22 m/s, and the instant after leaving contact with the board, the boy's velocity relative to the sidewalk is 5.33 m/s, 9.27° above the horizontal. If we ignore the force of friction between the skateboard and the sidewalk, determine the skateboard's velocity relative to the sidewalk at the instant the boy leaves the board. m/s

A boy cruising across a smooth, level sidewalk is approaching a pipe guard-rail. It seems like a good idea for him to jump over the rail and let the skateboard pass under the rail. The mass of the boy is 38.8 kg, the mass of the skateboard is 2.43 kg, the initial cruising speed is +5.22 m/s, and the instant after leaving contact with the board, the boy's velocity relative to the sidewalk is 5.33 m/s, 9.27° above the horizontal. If we ignore the force of friction between the skateboard and the sidewalk, determine the skateboard's velocity relative to the sidewalk at the instant the boy leaves the board. m/s

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter4: Motion In Two Dimensions

Section: Chapter Questions

Problem 4.26P: The motion of a human body through space can be modeled as the motion of a particle at the bodys...

See similar textbooks

Similar questions

To promote his new single “Itaktak Mo”, Joe decided to launch a satellite into orbit that will intercept allairwaves and play his song worldwide. To do this, he needs to mount his 100 [kg] satellite onto a 750 [kg]rocket. It blasts off vertically from a launch pad with a constant net upward acceleration of 3.80 [m/s2].When it has reached a height of 680 [m], the satellite was released, and the rocket blew up shortly after,due to a system failure. Assume that the satellite was not damaged after the explosion. A. What is the maximum height that the satellite will reach above the launch pad? B. How much time will elapse after system failure before the satellite comes crashing down the launchpad? C. How fast will the satellite be moving just before it crashes?
A tennis ball of mass 57.0 g is held just above a basketball of mass 607 g. With their centers vertically aligned, both balls are released from rest at the same time, to fall through a distance of 1.40 m An illustration shows a tennis ball placed on top of a basketball with a downward-pointing arrow shown to the side. (a) Find the magnitude of the downward velocity with which the basketball reaches the ground. m/s(b) Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down. Next, the two balls meet in an elastic collision. To what height does the tennis ball rebound? m
In a game of curling, a collision occurs between two stones of equal mass. The object stone is initially at rest. After the collision, the stone that is thrown hasa speed of 0.56m/s in some direction, represented by q. The object stone acquires a velocity vf2= 0.42m/s at an angle of f= 30.0o from the original direction of motion of the thrown stone. Determine the initial velocity of the thrown stone.
A mass m₁ = 4.0 kg is suspended over a massless frictionless pulley and is attached with a. massless rope to a mass on a frictionless horizontal table, mt = 2.0 kg. This mass is itself attached to another suspended mass m2 = 6.0 kg again with a massless rope over a massless and frictionless pulley. (a) Find the velocity of each mass when m2 falls a distance 20. cm (the masses start at
A hockey puck (mass = 4 kg) leaves the players stick with a speed of 12 m/s and slides on the ice before coming to rest. The coefficient of friction between the puck and the ice is 0.3. How far will the puck slide after leaving the players stick?
Nikola Jokic is running at 8.5 m/s directly toward the basket when he jumps into the air to dunk the ball. He is only able to maintain a constant horizontal jumping velocity of 85% of his running velocity during the entire flight phase of the jump. (a) What does his vertical takeoff velocity in m/s have to be when he first leaves the ground so that his center of mass is able to achieve a maximal vertical displacement of 0.7 meters during the jump? (b) How far from the basket (measured in the horizontal direction) in meters must he start his jump so that he reaches his maximum vertical jump displacement at the same time that he reaches the basket?
Two masses, 44.3 kg and 66.3 kg, are connected by a string draped over a frictionless, massless pulley to form an Atwood machine. When the masses are released from rest and allowed to move a distance of 1.23 m, determine velocity of each mass at this location.
A 1.90 kg box is moving to the right with speed 9.00 m/s on a horizontal, frictionless surface. At t = 0 a horizontal force is applied to the box. The force is directed to the left and has magnitude F(t)=( 6.00 N/s^2 )t2 If the force continues to be applied, what is the velocity of the box at 3.50 s?
Two blocks of different metals are sitting on a steel platform as shown. The blocks are connected by a cord running over a frictionless pulley. The aluminum block has mass m1 = 4.60 kg and the copper block has mass m2 = 6.25 kg, and ? = 31.5°. The blocks are released from rest. Will they move? If the blocks move, what is the magnitude of the acceleration (in m/s2) of the two-block system? If the blocks move, what is the magnitude of the tension force (in N) in the cord? If the blocks do not move, what is the sum of the magnitudes of the forces of friction (in N) acting on the blocks?
While driving to work one day, I was holding my coffee mug in my left hand while changing the radio station with my right hand. Then my cell phone rang, so I placed the mug on the flat part of my dashboard. Then, believe it or not, a deer ran out of the woods and onto the road right in front of me. Fortunately, my reaction time was zero, and I was able to stop from a speed of 17 m/s in a mere 50 m, just barely avoiding the deer, without the coffee mug sliding. The mug (with coffee) had a mass of 550 g, and the mass of the deer was 150 kg. Part A What is the minimum possible value of the coefficient of static friction between the mug and the dashboard? Hg =
A robot with fancy wheels is trained to move in two directions simultaneously. The force in the forward direction is 10 N and the force in the horizontal direction is 8 N. If the robot starts from rest, has a mass of 75 kg and travels for 100 seconds, what is the magnitude of the robot's final displacement?
An 85.0kg fisherman jumps from a dock into a 135.0kg rowboat that is at rest on the west side of the dock. If the velocity of the fisherman is 4.30m/s to the west as he leaves the dock, what is the final velocity of the fisherman and the boat?