A locomotive accelerates a 25-car train along a level track. Every car has a mass of 5.0 * 104 kg and is subject to a frictional force f = 250v, where the speed v is in meters per second and the force f is in newtons. At the instant when the speed of the train is 30 km/h, the magnitude of its acceleration is 0.20 m/s2. (a) What is the tension in the coupling between the first car and the locomotive? (b) If this tension is equal to the maximum force the locomotive can exert on the train, what is the steepest grade up which the locomotive can pull the train at 30 km/h?

Q: A child is pulling a red wagon full of toys (total mass is 9.50 kg). His pull is 35 N in magnitude…

A:

Q: A 16 kg block rests on a 29 degree inclined frictionless surface and is attached by a light string…

A: Solution:-Given thatm1=16 kgm2=29 kgg=9.8 m/s2Inclined surface-frictionlesspulley-massless &…

Q: A box with a mass of 8.80 kg slides up a ramp inclined at an angle of 28.3° with the horizontal. The…

A: The free body diagram is shown below: According to the work-energy theorem, the equation can be…

Q: A trunk with a weight of 250N is at rest on a floor. The coefficients of friction between the trunk…

A:

Q: 1. i) The radius of Mercury's orbit around the sun (assumed to be circular) is 5.79 x 107km, and it…

A: Radius of the orbit, r=5.79×107km=5.79×107×103m=5.79×1010m Time period,…

Q: A 12.1 kgkg box sits on a horizontal table. A string with tension 30.6 NN pulls on the box to the…

A:

Q: A 0.30 kg puck is being pushed across a table with a horizontal force of 2.0 N. It starts from rest…

A:

Q: A heavy sled is being pulled by two people, as shown in the figure. The coefficient of static…

A: Introduction: Tension: Tension force is defined as the force that is transmitted through a wire or…

Q: A block of mass m = 13 kg rests on an inclined plane with a coefficient of static friction of μs =…

A: Given, mass of block(m)= 13 kg  L= 6.9 m  h= 3.15 m  µs= 0.085

Q: A crate of mass 61 kg lies on a flat floor.  A person exerts a horizontal force of 141 N on it. If…

A: Given applied force on the mass = 141 N The crate does not move.

Q: A woman exerts a horizontal force of 109 N on a crate with a mass of 38.7 kg.   (a) If the crate…

A: Here, the free body diagram shows the horizontal force as FH  and  fs is the static friction, N is…

Q: The wheel motor attaches to the cable with a constant acceleration, such that the 20 kilogram crate…

A: To find: The tension in the cable  Given: Mass m=20kgdistance d=6mtime t=3scoefficient of friction…

Q: A sled is held on an inclined plane by a cord pulling directly up the plane. The sled is to be on…

A:

Q: A crate with a mass of m=254kg rests on the horizontal deck of a ship. The coefficient of static…

A: The objective of the question is to find the minimum force required to get the block moving from…

Q: A heavy sled is being pulled by two people, as shown in the igure. The coefficient of static…

A: Given:

Q: A block of mass m = 19.5 kg rests on an inclined plane with a coefficient of static friction of μs =…

A:

Q: You are pushing a metal crate against a metal floor. The two surfaces have a static coefficient of…

A: Given data: Coefficient of static friction (μs) = 0.62  Coefficient of kinetic friction (μk) = 0.50…

Q: An object weighing 500 N is pulled along a level floor at constant speed by a rope that makes an…

A:

Q: A mass m slides up an incline (with = 32.1 degrees above the horizontal) until it stops momentarily…

A: Draw the free-body diagram of the mass.

Q: A heavy box of mass M is found at rest on an inclined loading ramp as indicated in the figure. The…

A:

Q: A 2.40 kg mass is initially at rest on an 35 degree incline. An applied force of 30.5 N directed up…

A:

Q: A huge pendulum is made out of a 17.3-m cable attached at the top to a steel beam. The bottom of the…

A: Given that -  Length of the cable Mass of the anvil Speed of the anvil To Find -  We have to…

Q: A 17 kg block rests on a 32 degree inclined frictionless surface and is attached by a light string…

A:

Q: A box with a mass of 8.80 kg slides up a ramp inclined at an angle of 26.5° with the horizontal. The…

A: (given) Mass of box = 8.80 kg Initial speed of the block = 1.62 m/s Initial kinetic energy of the…

Q: A sphere of mass 5.4 x 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the…

A: Let's assume, mass of sphere is m = 5.4x10-4Kgand θ = 45°FBD of sphere, Here,T = Tension in cordF =…

Q: what angle 0 is the plane inclined?

A:

Q: The wheels fall off Maria's suitcase, so she ties a rope to it and drags it along the floor of the…

A:

Q: A 2.90 kg object is subjected to three forces that give it an acceleration a = (3.70 m/s? )î + (4.10…

A:

Q: A block is being pulled up an inclined plane by a force with magnitude F=45.0 N as shown In the…

A:

Q: You are pushing a rubber crate against a concrete floor. The two surfaces have a static coefficient…

A: when some force is applied against friction at first it will try to overcome the static friction.…

Q: A block of mass m1 = 3.9 kg is placed on top of a block with mass m2 = 5.4 kg. A force, F = is…

A:

Q: You are driving a car at a constant speed of 14.0 m/s along a straight level road. As you approach…

A: The initial velocity of the car is u = 14 m/s. The final velocity of the car is v = 0 m/s. The…

Q: A person slides a bottle with mass 0.20 kg along a level table.  It leaves his hand at 2.8 m/s and…

A:

Q: is A heavy sled is being pulled by two people, as shown in the figure. The coefficient of static…

A: Given that, the coefficient of static friction μs=0.579 the coefficient of kinetic friction μk=0.419…

Q: An 80.0 kg mail bag hangs by a vertical rope 3.7 m long. A postal worker then displaces the bag to a…

A: given data

Q: A rescue helicopter is lifting a man (weight = 753.782235376817 N) from a capsized boat by means of…

A:

Q: ou are pushing a wooden crate against a rubber floor. The two surfaces have a static coefficient of…

A: Given: The mass of the crate is 25 kg. The coefficient of the static friction is 0.45. The…

Q: A 11 kg block rests on a 26 degree inclined frictionless surface and is attached by a light string…

A:

Q: A rescue helicopter is lifting a man (weight = 707.434961342262 N) from a capsized boat by means of…

A:

Q: Refer to the figure. Let the mass of the block be 8.10 kg and the angle 9 be 25.0°. Find (a) the…

A:

Q: m A box rests on top of a flat bed truck. The box has a mass of m = 20 kg. The coefficient of static…

A: The acceleration of an object is defined as the time rate of change of its velocity, i.e.a=v-utwhere…

Q: A 5.00 kg box sits at rest at the bottom of a ramp that is 8.00 m long and is inclined at 30.0…

A: Given that,Mass of box = 5 kgThe length of ramp = 8 mAngle of inclined = 30°The coefficient of…

Q: A heavy sled is being pulled by two people, as shown in the figure. The coefficient of static…

A: Given that, The coefficient of static friction between the sled and the ground μs=0.603 Kinetic…

Q: A mass is suspended from the ceiling in an elevator by a heavy rope. The mass is 80 kg and the mass…

A: Let, the mass be, M=80 kg The mass of the rope, m=2 kg The maximum tension the rope can experience…

Q: A box of mass m = 20.0 kg is pulled up a ramp that is inclined at an angle 0 = 15.0° angle with…

A: Solution:

Q: A worker pulls a 15-kg crate in a straight line on a level surface by imparting a horizontal tension…

A:

Newton's Second Law

Newton’s laws of motion describe the relationship between the motion of an object and forces acting on it. Newton’s law of motion has two types as follows: