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Newton's Second Law

Newton's Laws of Motion...

The two forces P applied horizontally to the bottom of the symmetrical frame control the vertical motion of the 60 kg cylinder. Determine the constant force P which, if applied when the frame is at rest with B = 120 degrees, will give the cylinder an upward velocity of 3 m/s when the position of B is 60 degrees is passed. Th

Gravitational Force of Three Identical Masses

1)Three identical masses of 640 kg each are placed on the x axis. One mass is at = -14.0 m, one is at the origin, and one is at = 40.0 m. What is the magnitude of the net gravitational force on the mass at the origin due to the other two masses? Take the gravitational constant to be = 6.67×10^11 . 2) What is the

Dynamics - Connected motion of sliders

Please see the attached file. The sliders A and B are connected by a light rigid bar of length .5m. and move with out friction in the horizontal slots shown. (both slots lie on the horizontal plane there is no weight force involved) For the position where Xa = .4m the velocity of A ,Va = .9 m/s to the right. Find the ac

Simple Harmonic Motion and the Reference Circle

An 0.50 kg object is attached to one end of a spring, and the system is set into simple harmonic motion. The displacement x of the object as a function of time is shown in the drawing below. With the aid of this data, determine the following values. (a) amplitude A of the motion (b) angular frequency (c) spring c

The Gravitational Force: Acceleration of the Rock

A rock of mass 31 kg accidentally breaks loose from the edge of a cliff and falls straight down. The magnitude of the air resistance that opposes its downward motion is 237 N. What is the magnitude of the acceleration of the rock?

Force on baseball after being hit

Estimate the force on a 145-gram baseball if it hits the bat at 50 miles per hour and stays in contact with the bat for 0.1 second, during which time it reverses direction and leaves the bat at 75 miles per hour. Express the result in newtons and in pounds and explain your answer.

Mass

A 3.00-kg mass rests on the ground. It is attached to a string which goes vertically to and over an ideal pulley. A second mass is attached to the other end of the string and released. The 3.00-kg mass rises 50.0 cm in 1.00 s. How large was the other mass? 3.67 kg 4.29 kg 6.83 kg 7.15 kg

Locomotive pulling 3 wagons

A locomotive is pulling three wagons along a level track with a force of 100,000 N. The wagon next to the locomotive has a mass of 80,000 kg, the next one, 50,000 kg, and the last one, 70,000 kg. Neglect friction. What is the force between the 80,000-kg and 50,000-kg wagons? 35,000 N 40,000 N 60,000 N 65

Box pushed against another box

A 3.0-kg and a 5.0-kg boxes rest side-by-side on a smooth, level floor. A horizontal force of 32 N is applied to the 5.0-kg box pushing it against the 3.0-kg box, and, as a result, both boxes slide along the floor. How large is the contact force between the two boxes? Choices: 12 N 20 N 32 N 0 N

Contact force between two boxes

Three boxes rest side-by-side on a smooth, horizontal floor. Their masses are 5.0 kg, 3.0 kg, and 2.0 kg, with the 3.0-kg mass in the center. A force of 50 N pushes on the 5.0-kg mass, which pushes against the other two masses. What is the contact force between the 3.0-kg mass and the 2.0-kg mass? Choices: 0 N 1

Box pushed against another box

A 3.0-kg and a 5.0-kg box rest side-by-side on a smooth, level floor. A horizontal force of 32 N is applied to the 3.0-kg box pushing it against the 5.0-kg box, and, as a result, both boxes slide along the floor. How large is the contact force between the two boxes? Choices: 12 N 20 N 32 N 0 N

Block is hung by a string from the inside roof of a van

A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a speed of 28 m/s, the block hangs vertically down. But when the van maintains this same speed around an unbanked curve (radius =150m), the block swings toward the outside of the curve. Then the string makes an angle with the vertical.

Force on the Shopping Cart

An employee is pushing ten empty shopping carts, lined up in a straight line. The acceleration of the carts is .050 m/s^2. The ground is level, and each cart has a mass of 26 kg. What is the net force acting on any one of the carts and assuming friction is negligible. what is the force exrted by the fifth cart on the sixth

the magnitude of the initial acceleration of the third sphere

Three unifrom spheres are located at the corners of an equilateral triangle. Each side of the triangle has a length of 1.20 m. Two of the spheres have a mass of 2.80 kg each. The third sphere (mass unknown) is released from rest. Considering only the gravitational forces that the spheres exert on each other, what is the magnitud

force on a sailing boat

A 32g kg boat is sailing 15.0 degrees north of east at a speed of 2.00 m/s. Thirty seconds later, it is sailing 35.0 degrees north of east at a speed of 4.00 m/s During this time, three forces act on the boat: a 31.0 N force directed 15.0 degrees north of east (due to an auxiliary engine), a 23.0 N force directed 15.0 degrees so

magnitude and direction of the displacement of the duck

A duck has a mass of 2.5 kg. As the duck paddles, a force of 0.10 N acts on it in a direction due east. In addition, the current of the water exerts a force of .20 N in a direction of 52 degrees south of east. When these forces begin to act, the velocity of the duck is .11 m/s in a direction due east. What is the magnitude and

Applying Newton's second law

1) A cannon shoots a ball at an angle  above the horizontal ground. (a) Neglecting air resistance, use Newton's Second Law to find the ball's position as a function of time. (Use axes with x measured horizontally and y vertically.) (b) Let r(t) denote the ball's distance from the cannon. What is the largest possible value

Determining magnitude and direction of net force

A 1380 kg car is moving due east with an initial speed of 27.0 m/s. After 8.00 s the car has slowed down to 17.0 m/s. What is the magnitude and direction of the net force that produces the deceleration.

kinetic energy and potential energy

(See attached file for full problem description) 26. A block of mass m is initially moving to the right on a horizontal frictionless surface at a speed v. It then compresses a spring of spring constant k. At the instant when the kinetic energy of the block is equal to the potential energy of the spring, the spring is compress

Force with Coefficient of Friction

Find the force P necessary to push a 50.6 kg block down an incline of 32.4 degrees with an acceleration of 1.78 m/s^2. P is parallel to the incline and the coefficient of friction between the block and the incline surface is 0.805. Picture is attached.

Banked Curves and Newton's Laws

Banked Curve I. A curve with a 120-m radius on a level road is banked at the correct angle for a speed of 20 m/s. If an automobile rounds this curve at 30 m/s, what is the minimum coefficient of static friction between tires and road needed to prevent skidding?

Finding the Magnitude of Horizontal Forces

(See attached file for full problem description with diagram) --- Block A in the figure weighs w1 and block B weighs w1. The coefficient of kinetic friction between all surfaces is uk. 1. Find the magnitude of the horizontal force necessary to drag block B to the left at constant speed if A rests on B and moves with it (f

Newton's law - mechanics problem involving a frictionless pulley

(See attached file for full problem description with diagram) --- A block with mass is placed on an inclined plane with slope angle and is connected to a second hanging block that has mass by a cord passing over a small, frictionless pulley. The coefficient of static friction is and the coefficient of kinetic friction is

Newton's Laws of Motion for an Athlete

An athlete whose mass is m is performing weight-lifting exercises. Starting from the rest position, he lifts, with constant acceleration, a barbell that weighs w. He lifts the barbell a distance of x in a time of t. Use Newton's laws to find the total force that his feet exert on the ground as he lifts the barbell. Take free

Pendulum tension calculation in horizontal string

A simple pendulum consists of a bob of mass 1.8 kg attached to a string of length 2.3 m. The pendulum is held at an angle of 30 Degrees from the vertical by a light horizontal string attached to a wall, as shown above. 1. Calculate the tension in the horizontal string. 2. The horizontal string is now cut close to the bob,

Centripetal Force

A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to 2.3 times her weight as she goes through the dip. If r = 29.0 m, how fast is the roller coaster traveling at the bottom of the dip?

Pulley Problem

If an object with a mass of X kg sits on a frictionless table and another object with a mass of Y kg is connected to it by a wire over a frictionless pulley, how do you calculate the acceleration of the system and how do you calculate the tension of the wire?