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# Newton's Second Law

### block and pulley system

In the system (shown in the attachment), the block of mass M1, is on a rough horizontal table. The string that attaches it to the block of mass M2 passes over a frictionless pulley of negligible mass. The coefficient of kinetic friction µ _k between M1 and the table is less than the coefficient of static friction µ_s. a.) D

### Newton's Laws of Motion: Friction

1. A father pulls his young daughter on a sled with constant velocity on a level surface through a distance of 25 m. The total mass of the sled and the girl is 45 kg and the coefficient of kinetic friction between the sled runners and the snow is .35 The force exerted by the man is applied at an angle of 30 degrees with resp

### Newton's Laws of Motion to Find Mass

The loaded trailer has a mass of 900 kg with a center of mass at G and is attached at A (see attachment for fig.) to a rear bumper hitch. If the car and trailer reach a velocity of 60 km/hr on a level road in a distance of 30 m from rest with constant acceleration, compute the vertical component of the force supported by the hit

### Tension and Force that the Axle Exerts on the Pulley

A 12.0 kg box resting on a horizontal, friction-less surface is attached to a 5.00 kg weight by a thin, light wire that passes over a friction-less pulley. The pulley has the shape of a uniform solid disk of mass 1.50 kg and diameter 0.600 m (see attachment). a) After the system is released, find the horizontal tension in the

### 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

### Newton's laws of motion

A compact car, mass 735 kg, is moving at 1.00*10^2 km/h toward the east. The driver of the compact car suddenly applies the brakes hard for 2.0 s. As a result, an average force of 5.1*10^3 N is exerted on the car to slow it. (a) What is the change in momentum, that is the magnitude and direction of the impulse, on the car?

### String and the pulley

Attached is one problem. In the system below, the string and the pulley are massless and the coefficient of kinetic friction between m1 and the incline is 0.2. The system is released from rest and accelerates under the weight of m2. (a) draw a Free Body Diagram for each block . (b) Write down Newton's 2nd law for each bl

### boat at rest in frictionless water.

You are with 19 other people on a boat at rest in frictionless water. Your total mass is 1500 kg, and the mass of the boat itself is 10000 kg. The entire party walks the 9.5 m distance from bow to stern. How far does the boat move? Please give me stepwise solution.

### Explosive bolts separate a 840-kg communications satellite

Explosive bolts separate a 840-kg communications satellite from its 560-kg booster rocket. If the impulse of the explosion is 385 N/s, at what relative speed do the satellite and booster separate? vrel = m/s Please give me a stepwise solution.

### 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.

### In which case are the equations of motion integrable?

Please see attached file for specifics.

### 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

### Mass of an object.

A net force of 120 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/. What is the mass of the object?

### Change in Linear Momentum and Thrust

Holding a long rope by its upper end, you lower it onto a scale. The rope has a mass of 0.169 kg per meter of length, and is lowered onto the scale at the constant rate of 1.38 m/s. Calculate the thrust exerted by the rope as it lands on the scale. What does the scale read when 0.233 kg of rope is on the scale (corresponding

### 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

### What is the force of air resistance (magnitude and direction) that acts on the skydiver?

A falling skydiver has a mass of 110 kg. What is the magnitude of the skydiver's acceleration when the upward force of air resistance has a magnitude that is equal to one-third of his weight? After the parachute opens, the skydiver descends at a constant velocity. What is the force of air resistance (magnitude and direction) tha

### 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

### How much time is required for the projectile to come up to speed?

A gun accelerates a 5.0 kg projectile from rest to a speed of 4.0 x 10^3 m/s. The net force accelerating the projectile is 4.9 x 10^5 N. How much time is required for the projectile to come up to speed?

### 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