A 4.44 kg block located on a horizontal frictionless floor is pulled by a cord that exerts a force F=10.7N at an angle theta=22.0degrees above the horizontal, as shown. What is the magnitude of the acceleration of the block when the force is applied? What is the magnitude of the normal force acting on the block when the force
1. During a circus performance, a 73.0-kg human cannonball is shot out of an 17.7-m-long cannon. If the human cannonball spends 0.812 s in the cannon, determine the average net force exerted on him in the barrel of the cannon. (Assume an the acceleration is constant.) 2. A newly discovered planet has a mass that is 1.45 times
Objects A and B are both positively charged. Both have a mass of 500 g, but A has twice the charge of B. When A and B are placed 50.0 cm apart, B experiences an electric force of 0.810 N. 1) How large is the force on A? 2) What are the charges q_A and q_B? 3) If the objects are released, what is the initial acceleration of
Acceleration & Force : 1. Calculate the average acceleration of a car that changes speed from 0 m/s to 15 m/s in 5 s. 2. Suggest why placing wheels under a heavy box reduces the necessary force required to push it along at a constant speed. 3. Evaluate the change of motion in the following cases in which the forces o
1. In her Mustang, Kelly rounds a curve onto a straight section of country road while traveling at 45 mph, only to find a fully loaded manure spreader completely blocking the road 37 m ahead of her. Startled, she travels at a constant velocity for 0.80 s of reaction time, then hits the brakes and slows with a constant accelerati
64. (The clepsydra, or water clock) A 12 hour water clock is to be designed with the dimensions shaped like the surface obtained by revolving the curve y = f(x) around the y-axis. What should be this curve, and what should be the radius of the circular bottom hole, in order that the water level will fall at the constant rate o
Problem # 9 - The semicircular disk having a mass of 10 kg is rotating at  = 4 rad/s at the instant  = 60 . If the coefficient of static friction at A is  s = 0.5, determine if the disk slips at this instant. See attached file for full problem description.
1. Two masses are attached with a pulley over an incline which is over a platform. The top of the incline to the ground is 6m. There is one mass on that ramp which is 5.0kg. The other mass which is hanging freely off the ramp is 20.0kg. The force of kinetic friction between the 5.0kg mass and the ramp is .26. The 5.0kg mass is a
The car with its passengers is traveling along a horizontal road when it suddenly runs onto a new piece of road surface, raised 5.5 cm above the old surface. Assume that this suddenly raises the wheels and the bottom ends of the springs through 5.5 cm before the body of the car begins to move upward. In the ensuing rebound, are
1. In airplane traveling at 529 km/hr needs to reverse its course. The pilot decides to accomplish this by banking the wings at an angle of 41.0 degrees. a) Find the time needed to reverse course. b) How heavy would a 56 kg passenger feel during the turn? In other words, what would be the magnitude of the total force exerte
A football is kicked at an angle of 50 degrees and travels a distance of 20 m before hitting the ground. a. What is the initial speed of the ball? b. How long is it in flight? c. How high does it rise?
A 3.00-kg mass and a 5.00-kg mass hang vertically at the ends of a rope that goes over an ideal pulley. If the masses are released, what is the resulting acceleration of the masses? 0 m/ 3.68 m/ 2.45 m/ 6.13 m/
1. The vector expression of an acceleration can be obtained by: a. Differentiation position vector once b. Differentiation velocity vector once c. Differentiation position vector three times d. Differentiation velocity vector twice 2. The work of forces acting on a rigid body can be expressed as: a. the dot product
The positions of two blocks at successive 0.20 second time intervals are represented by numbered squares in the diagram below. The blocks are moving toward the right. 20. Do the blocks ever have the same speed? Explain the reasoning behind your answer. A. No B. Yes at instant 2 C. Yes at instant 5 D. Yes at insta
Two cyclists are racing on a track that looks like the following diagram (see attachment). Each horizontal section is 100 metres long. Cyclist 1: Angelo has a mass that is twice of Cyclist 2: Jackie. Both Angelo and Jackie start at rest and apply an equal Force to their bikes in section A, after which each of them stops ped
Helium gas enters an adiabatic nozzle steadily at 500 degrees C and 600 kPa with a low velocity, and exits at a pressure of 90 kPa. What is the highest possible velocity of helium gas at the nozzle exit?
Constant force with the least magnitude that must be applied to the board in order to pull the board out from under the box.
Find , the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the box (which will then fall off of the opposite end of the board). Express your answer in terms of some or all of the variables M1 ,M2 , Us ,g , and L.
A 1500-kg car travels at a constant speed of 22m/s around a circular track that has a radius of 85m. Determine the: A. Magnitude of Acceleration of the car B. Average Velocity of the car during one revolution C. Magnitude of the net force that acts on the car
1) A window washer of mass M is sitting on a platform suspended by a system of cables and pulleys as shown (see attachment). He is pulling on the cable with a force of magnitude F . The cables and pulleys are ideal (massless and frictionless), and the platform has negligible mass. Find the magnitude of the minimum force that a
The angular speed of the rotor in a centrifuge increases from 420 to 1420 rad/s in a time of 5.00 s. (a.)What is the angle through which the rotor turns. (b.)What is the magnitude of the angular acceleration?
(26) A 6.0 kg object is brought to the Moon, where the acceleration due to gravity is only one sixth of that on the Earth. a) The mass of the object on the Moon is (1) zero, (2) 1.0 kg, (3) 6.0 kg or (4) 36kg. Why? b) What is the weight of the object on the Moon? (41) The mass of the object is 10kg and the force on the object
1,000kg car is parked on hill. The car rolls down hill accelerating 10mph, and hits a guard rail pushes it back 1.5 meters What acceleration did the car experience and how much force must the guard rail have supplied to slow it down.
A spacecraft is traveling with a velocity of vox=5480 m/s along the x direction. Two engines are turned on for a time of 842s. One engine gives the spacecraft an acceleration in the x direction of ax = 1.20 m/s^2, while the other gives it an acceleration in the y direction of ay=8.40 m/s^2. At the end of the firing what is a) vx
There is a clever kitchen gadet for drying lettuce leaves after you wash them.It consists of of cylindrical container mounted so that it can be rotated about its axis by turning a hnd crank. The outer wall of the cylinder is perforated with small holes. you put the wet leaves in the container and turn the cranks to spin off the
A 292 kg motorcycle is accelerating up along a ramp that is inclined 30 degrees above the horizontal. The propulsion force pushing the motorcycle up the ramp is 3150 N and air resistance produces a force of 250 N that opposes the motion. What is the magnitude of the motorcycle's acceleration?
Communication satellites are placed in a circular orbit that is 3.59 x 10^7 m above the surface of the earth. What is the magnitude of the acceleration due to gravity at this distance?
A 50.0g superball traveling at 25.0 m/s bounces off a brick wall and rebounds at 22.0m/s. A high-speed camera records this event. If the ball is in contact with the wall for 3.50ms, what is the magnitude of the average acceleration of the ball during this time interval? (note 1 ms= 10^-3 s.) Textbook answer to this problem is
Acceleration in spherical coordinates derived using elementary methods (tedious) and using Lagrangian approach (very easy)
Derive the expression of the acceleration in terms of spherical coordinates, see problem 2 of the attachment.
Understanding Acceleration Automobile reviews often cite a vehicle's "0 to 60 time," or the time it takes for a car to go from rest to 60 mph. For example, a "0 to 60 time" of under 5 seconds is considered fast. (For a list of 0-60 times, see http://www.albeedigital.com/supercoupe/articles/0-60times.html.) a. What is the a
A particle moves along a circular path having a radius of 2.0 meters. At an instant when the speed of the particle is equal to 3.0 m/s and changing at the rate of 5.0 m/s2, what is the magnitude of the total acceleration of the particle? a) 9.5 m/s2 b) 6.0 m/s2 c) 5.4 m/s2 d) 6.7 m/s2 e) 4.5 m/s2