Exam 3: Kinematics in Two Dimensions; Vectors

Vectors obey the equation statements?

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

A projectile leaves the ground at 150 m/s and reaches a maximum height of 0.57 km. If there was no air resistance, at what angle above the horizontal did it leave the ground?

A fisherman casts his bait toward the river at an angle of above the horizontal. As the line unravels, he notices that the bait and hook reach a maximum height of 2.9 m. What was the initial Velocity he launched the bait with? Assume that the line exerts no appreciable drag force on the Bait and hook and that air resistance is negligible.

An airplane undergoes the following displacements, all at the same altitude: First, it flies 59.0 km in a direction 30.0° east of north. Next, it flies 58.0 km due south. Finally, it flies 100 km 30.0° north of West. Use components to determine how far the airplane ends up from its starting point.

A projectile is shot horizontally at 23.4 m/s from the roof of a building 55 m tall and experiences negligible air resistance. (a) Determine the time necessary for the projectile to reach the ground below. (b) Determine the distance from the base of the building that the projectile lands. (c) Determine the horizontal and vertical components of the velocity just before the projectile reaches the ground.

A projectile is fired from ground level at an angle above the horizontal on an airless planet where w The initial x and y components of its velocity are 86.6 m/s and 50.0m/s respectively. How long after firing does it take before the projectile hits the level ground?

A projectile is fired from the edge of a cliff as shown in the figure. The initial velocity components are 940 m/s (horizontal) and 96 m/s (vertical). The projectile reaches maximum height at point P And then falls and strikes the ground at point Q. How high is point P above point Q, assuming no Air resistance?

The figure shows two vectors , along with their magnitudes and directions. The vector is given by (a) What is the magnitude of vector (b) What angle does vector make with the +x -axis?

A bulldozer attempts to drag a log weighing 500 N along the rough horizontal ground. The cable attached to the log makes an angle of above the ground. The coefficient of static friction between the log and the ground is 0.50, and the coefficient of kinetic friction is 0.35. What minimum tension is required in the cable in order for the log to begin to slide?

A 50-kg box is resting on a horizontal floor. A force of 250 N directed at an angle of 30.0° below the horizontal is applied to the box. The coefficient of static friction between the box and the Surface is 0.40, and the coefficient of kinetic friction is 0.30. What is the force of friction on the box?

You walk 53 m to the north, then you turn to your right and walk another 45 m. Determine the direction of your displacement vector. Express your answer as an angle relative to east.

A policeman investigating an accident measures the skid marks left by a car on the horizontal road. He determines that the distance between the point that the driver slammed on the brakes (thereby locking the wheels) and the point where the car came to a stop was 28.0 m. From a Reference manual he determines that the coefficient of kinetic friction between the tires and the Road under the prevailing conditions was 0.300. How fast was the car going when the driver Applied the brakes?

In an air-free chamber, a pebble is thrown horizontally, and at the same instant a second pebble is dropped from the same height. Compare the times of fall of the two pebbles.

Vector has a magnitude of 8.0 m and points east, vector has a magnitude of 6.0 m and points north, and vector has a magnitude of 5.0 m and points west. The resultant vector given by

A projectile is fired at an angle above the horizontal at a location where The initial x and y components of its velocity are 86.6 m/s and 50 m/s respectively. At what angle was the Projectile fired above the horizontal?

A child throws a ball with an initial speed of 8.0 m/s at an angle of 40° above the horizontal. The ball leaves her hand 1.0 m above the ground and experiences no appreciable air resistance as it moves. (a) How far from where the child is standing does the ball hit the ground? (b) How long is the ball in flight before it hits the ground? (c) What is the magnitude of the ball's velocity just before it hits the ground?

James and John dive from an overhang into the lake below. James simply drops straight down from the edge. John takes a running start and jumps with an initial horizontal velocity of 25 m/s. If There is no air resistance, when they reach the lake below

A shell is launched with a velocity of 100 m/s at an angle of 30.0° above horizontal from a point on a cliff 50.0 m above a level plain below. How far from the base of the cliff does the shell strike the ground? There is no appreciable air resistance, and at the location of the cliff.

A boy throws a ball with an initial velocity of 25 m/s at an angle of above the horizontal. If air resistance is negligible, how high above the projection point is the ball after 2.0 s?