Exam 10: Motion in a Plane

An airplane flies 120 km at a constant altitude in a direction 30.0° north of east. A wind is blowing that results in a net horizontal force on the plane due to the air of 2.40 kN in a direction 10.0° south of west. How much work is done on the plane by the air?

While an object is in projectile motion (with upward being positive)with no air resistance

A box of mass m is pulled with a constant acceleration a along a horizontal frictionless floor by a wire that makes an angle of 15° above the horizontal.If T is the tension in this wire,then

If the eastward component of vector is equal to the westward component of vector And their northward components are equal.Which one of the following statements about these two vectors is correct?

You do 174 J of work while pulling your sister back on a swing,whose chain is 5.10 m long.You start with the swing hanging vertically and pull it until the chain makes an angle of 32.0° with the vertical with your sister is at rest.What is your sister's mass,assuming negligible friction?

A rabbit trying to escape a fox runs north for 8.0 m,darts northwest for 1.0 m,then drops 1.0 m down a hole into its burrow.What is the magnitude of the net displacement of the rabbit?

If two nonzero vectors point in the same direction,their dot product must be zero.

A plate falls vertically to the floor and breaks up into three pieces,which slide along the floor.Immediately after the impact,a 320-g piece moves along the x-axis with a speed of 2.00 m/s and a 355-g piece moves along the y-axis with a speed of 1.50 m/s.The third piece has a mass of 100 g.In what direction does the third piece move? You can neglect any horizontal forces during the crash.

An electron moves with a constant horizontal velocity of 3.0 × 10⁶ m/s,and no initial vertical velocity as it enters a deflector inside a TV tube.The electron strikes the screen after traveling 17.0 cm.horizontally and 40.0 cm vertically upward with no horizontal acceleration.What is the constant vertical acceleration provided by the deflector? (The effects of gravity can be ignored.)

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 magnitude of vector ?

Vector has a magnitude of 5.5 cm and points along the x-axis. Vector has a magnitude of 7.5 cm and points at +30° above the negative x-axis. (a)Determine the x and y components of Vector (b)Determine the x and y components of Vector (c)Determine x and y components of the sum of these two vectors. (d)Determine the magnitude and direction of the sum of these two vectors.

A 4.00-kg box sits atop a 10.0-kg box on a horizontal table.The coefficient of kinetic friction between the two boxes and between the lower box and the table is 0.600,while the coefficient of static friction between these same surfaces is 0.800.A horizontal pull to the right is exerted on the lower box,as shown in the figure,and the boxes move together.What is the friction force on the UPPER box?

In the figure,the magnitude of vector is 18.0 units,and the magnitude of vector is 12.0 units.What vector must be added to the vectors and so that the resultant of these three vectors points in the -x direction and has a magnitude of 7.50 units? Use vector components to find your answer,and express vector by giving its magnitude and the angle it makes with the +x-axis taking counterclockwise to be positive.

Three forces,F₁ = 20.0 N,F₂ = 40.0 N,and F₃ = 10.0 N act on an object with a mass of 2.00 kg which can move along a frictionless inclined plane as shown in the figure.The questions refer to the instant when the object has moved through a distance of 0.600 m along the surface of the inclined plane in the upward direction.Calculate the amount of work done by (a) F₁ (b) F₂ (c) F₃.