Exam 10: Motion in a Plane

A teacher sends her students on a treasure hunt. She gives the following instructions: 1) Walk 300 m north 2) Walk 400 m northwest 3) Walk 700 m east-southeast and the treasure is buried there. As all the other students walk off following the instructions,Jane physics student quickly adds the displacements and walks in a straight line to find the treasure. How far and in what direction does Jane need to walk?

If - = 0,then the vectors and have equal magnitudes and are directed in the opposite directions from each other.

An airplane is flying at a speed of 2.00 × 10² m/s in level flight at an altitude of 8.00 × 10² m. A package is to be dropped from the airplane to land on a target on the ground.Ignore air resistance. (a) At what horizontal distance away from the target should the package be released so that it lands on the target? (b) In what direction relative to the horizontal will the package be traveling when it hits the ground?

The angle between vector = 2.00 + 3)00 And vector Is 45.0°. The scalar product of vectors And Is 3.00. If the x component of vector Is positive,what is vector

Two boxes are connected by a weightless cord running over a very light frictionless pulley as shown in the figure. Box A,of mass 8.0 kg,is initially at rest on the top of the table.The coefficient of kinetic friction between box A and the table is 0.10. Box B has a mass of 15.0 kg,and the system begins to move just after it is released. (a) Draw the free-body diagrams for each of the boxes,identifying all of the forces acting on each one. (b) Calculate the acceleration of each box. (c) What is the tension in the cord?

A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal.The ball leaves her hand 1.00 m above the ground and experience negligible air resistance. (a) What is the magnitude of the ball's velocity just before it hits the ground? (b) At what angle below the horizontal does the ball approach the ground?

For the vectors shown in the figure,express vector in terms of vectors and .

A plane flying at 70.0 m/s suddenly stalls.If the acceleration during the stall is 9.8 m/s² directly downward,the stall lasts 5.0 s,and the plane was originally climbing at 25° to the horizontal,what is the velocity after the stall?

A traveler pulls on a suitcase strap at an angle 36° above the horizontal.If 908 J of work are done by the strap while moving the suitcase a horizontal distance of 15 m,what is the tension in the strap?

As shown in the figure,three force vectors act on an object.The magnitudes of the forces as shown in the figure are F₁ = 80.0 N,F₂ = 60.0 N,and F₃ = 40.0 N,where N is the standard SI unit of force.The resultant force acting on the object is given by

Find the net work done by friction on the body of a snake slithering in a complete circle of 3.93 m radius.The coefficient of friction between the ground and the snake is 0.25,and the snake's weight is 54)0 N.

Block A of mass 5.0 kg and block X are attached to a rope which passes over a pulley,as shown in the figure.An 80-N force P is applied horizontally to block A,keeping it in contact with a rough vertical face.The coefficients of static and kinetic friction between the wall and block A are μ_s = 0.40 and μ_k = 0.30.The pulley is light and frictionless.The mass of block X is adjusted until block A moves upward with an acceleration of 1.6 m/s².What is the mass of block X?

Which of the following is an accurate statement?

Vectors and Are shown in the figure.Vector Is given by = - The magnitude of vector Is 16.0 units,and the magnitude of vector Is 7.00 units.What is the angle of vector ,measured counterclockwise from the +x-axis?

A hockey puck slides off the edge of a table at point A with an initial velocity of 20.0 m/s and experiences no air resistance.The height of the tabletop above the ground is 2.00 m. (a)What is the speed (not the velocity)of the puck just before it touches the ground? (b)What is the distance between point A and the point where the puck hits the ground?

A monkey is sitting at the top of a tree 20 m above ground level.A person standing on the ground wants to feed the monkey.He uses a bow and arrow to launch the food to the monkey.If the person knows that the monkey is going to drop from the tree at the same instant that the person launches the food,how should the person aim the arrow containing the food? Air resistance is small enough to be ignored.

Determine the scalar product of = 6.0 + 4)0 - 2)0 And = 5)0 - 6)0 - 3)0

Determine the angle between the directions of vector = 3.00 + 1)00 And vector = -3.00 + 3)00

A 4.00-kg block rests between the floor and a 3.00-kg block as shown in the figure. The 3.00-kg block is tied to a wall by a horizontal rope. If the coefficient of static friction is 0.800 between each pair of surfaces in contact,what horizontal force F must be applied to the 4.00-kg block to make it move?

A small glider is coasting horizontally when suddenly a very heavy piece of cargo falls out of the bottom of the plane.You can neglect air resistance.Just after the cargo has fallen out