Exam 3: Kinematics in Two Dimensions; Vectors

A small car and a large SUV are at a stoplight. The car has a mass equal to half that of the SUV, and the SUV can produce a maximum accelerating force equal to twice that of the car. When the Light turns green, both drivers push their accelerators to the floor at the same time. Which vehicle Pulls ahead of the other vehicle after a few seconds?

The coefficients of static and kinetic friction between a 3.0-kg box and a horizontal desktop are 0.40 and 0.30, respectively. What is the force of friction on the box when a 15-N horizontal push is Applied to the box?

A ball rolls over the edge of a platform with only a horizontal velocity. The height of the platform is 1.6 m and the horizontal range of the ball from the base of the platform is 20 m. What is the Horizontal velocity of the ball just before it touches the ground? Neglect air resistance.

A girl throws a rock horizontally with a speed of 12 m/s from a bridge. It falls 2 before hitting the water below. Neglect air resistance. (a) How high is the bridge from the water below? (b) How far horizontally does the rock travel before striking the water?

A 5.0-kg stone is thrown upward at 7.5 m/s at an angle of 51° above the horizontal from the upper edge of a cliff, and it hits the ground 1.5 s later with no air resistance. Find the magnitude of its velocity vector just as it reaches the ground.

A ball thrown horizontally from a point 24 m above the ground, strikes the ground after traveling horizontally a distance of 18 m. With what speed was it thrown, assuming negligible air Resistance?

The x component of vector is 8.7 units, and its y component is -6.5 units. The magnitude of is closest to

A boy throws a rock with an initial velocity of above the horizontal. How long does it take for the rock to reach the maximum height of its trajectory if air resistance is negligibly

A wind farm generator uses a two-bladed propeller mounted on a pylon at a height of 20 m, as shown in the figure. The width of the pylon is very narrow, and the length of each propeller blade Is 12 m. A tip of the propeller breaks off just when the propeller is vertical. The fragment flies off Horizontally, falls, and strikes the ground at point P with negligible air resistance. Just before the Fragment broke off, the propeller was turning uniformly, taking 1.2 s for each rotation. How far is Point P from the base of the pylon?

As shown in the figure, a heavy rock is shot upward from the edge of a vertical cliff. It leaves the edge of the cliff with an initial velocity of 15 m/s directed at from the vertical and experiences no appreciable air resistance as it travels. How high is the cliff?

Vector is along the +x -axis and vector is along the +y -axis. Which one of the following statements is correct with respect to these vectors?

points eastward and vector points southward. The resultant vector is given by

A hockey puck slides off the edge of a horizontal platform with an initial velocity of 20 m/s horizontally and experiences no significant air resistance. The height of the platform above the Ground is 2.0 m. What is the magnitude of the vertical component of the velocity of the puck just Before it hits the ground?

A runner runs on a circular path of radius 10 m. What is the magnitude of the displacement of the jogger if he runs (a) half-way around the track? (b) all the way around the track?

When Jeff ran up a hill at 7.0 m/s, the horizontal component of his velocity vector was 5.1 m/s. What was the vertical component of Jeff's velocity?

Consider two vectors shown in the figure. The difference is best illustrated by

The horizontal and vertical components of the initial velocity of a football are 16 m/s and 20 m/s respectively. If there is no air resistance, how long does it take the football to reach the top of its Trajectory?

A displacement vector is 34.0 m in length and is directed east of north. Selecting from the choices in the table below, what are the components of this vector?

Vector has a magnitude of 6.0 m and points north of east. Vector has a magnitude of 4.0 m and points west of south. The resultant vector is given by

A submarine must travel how fast (with respect to the water) and be pointed in what direction such that it moves 10 m/s directly northward (relative to the earth) if the water moves westward at 5.0 m/s?