A 45.0 kg girl is standing on a 153 kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The giri begins to walk along the plank at a constant velocity of 1.40 m/s relative to the plank. (Let the direction the girl is moving in be positive. Indicate the direction with the sign of your answer.) (a) What is her velocity relative to the surface of ice? m/s (b) What is the velocity of the plank relative to the surface of ice? m/s

A 1.4 gram bullet is shot into a tree stump. It enters at a velocity of 341 m/sec and comes to rest after having penetrated the stump in a straight line. It takes 0.00032 sec to come to a stop after striking the stump. What was the force on the bullet during impact?  (answer in Newtons)

A 0.160-kg hockey puck is moving on an icy, frictionless, horizontal surface. At t = 0, the puck is moving to the right at 3.00 m/s. (a) Calculate the velocity of the puck (magnitude and direction) after a force of 25.0 N directed to the right has been applied for 0.050 s. (b) If, instead, a force of 12.0 N directed to the left is applied, how long would it take to stop the puck?

Dae-hyun, a man of mass 72 kg, steps from a table 92 cm to the floor below. Assume that his velocity is zero as he leaves the table. As he lands, he bends his knees so that he decelerates to a final speed of zero over a distance of 35 cm. (a) What is Dae-hyun's speed just as he starts to hit the floor? Type your answer here (b) As he decelerates, what is the magnitude of the force exerted on him by the floor? Assume constant acceleration. x10 to the power of Type your answer here Type your answer here (You may need to involve some kinematics to solve this one!) m/s N on Dae-hyun.

A small object is initially at rest at the top of a large solid sphere that is fixed on the ground. The small object then begins to slide along the surface of the large solid sphere, without friction. V₁ = 0 RI Part (a) Find the angle at which the small object loses contact with the large solid sphere. Part (b) Find the maximum horizontal distance traveled by the small object before it hits the ground. Take (xi, y₁) = (0,2R) as the coordinates for the top of the large solid sphere.

A particle of mass 1.05 kg is subject to a force that is always pointed towards the East but whose magnitude changes linearly with time t. The magnitude of the force is given as F = 4t, and has units of newtons. Let the x-axis point towards the East. Determine the change in x-coordinate in meters of the particle Δx between t = 0 and t = 2.4 if the initial velocity is 17.5 m/s, and pointed in the same direction as the force.

A block (mass = 5.56 kg) is released from rest at the top of a frictionless ramp. 1.01 seconds after release, the block has a speed of 6.34 m/s. Calculate the angle of the ramp in degrees as measured from the horizontal.

A 54.9-kg skater is standing at rest in front of a wall. By pushing against the wall she propels herself backward with a velocity of -1.93 m/s. Her hands are in contact with the wall for 1.09 s. Ignore friction and wind resistance. Find the average force she exerts on the wall (which has the same magnitude, but opposite direction, as the force that the wall applies to her). Note that this force has direction, which you should indicate with the sign of your answer. Number -9.72 Units

Kyle, a 95.0 kg football player, leaps straight up into the air (with no horizontal velocity) to catch a pass. He catches the 0.430 kg ball precisely at the peak of his jump, when he is 0.538 meters off the ground. He hits the ground 0.0333 metersaway from where he leapt. If the ball was moving horizontally when it was caught, how fast was the ball traveling?   ball's speed: ? m/s

This problem pertains to the scenario depicted in the diagram below, where the masses of the blocks are mi = 9.50 kg and m2 = 7.50 kg , and the angle of the ramp is 0 = 27.5°. There is no friction between block 2 and the ramp, but there is friction between block 1 and the flat surface it rests on. When the system is set in motion, both blocks move to the right at a constant speed. What is the coefficient of kinetic friction between block 1 and the flat surface (uk)? Show all steps, including drawing free body diagrams and applying Newton's 2nd law to each block. Problem 4 %3D sliding at constant speed m1 sliding at m2 constant friction no speed friction here here