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If the order of the barges of the preceding exercise is reversed so that the tugboat pulls the 3.00 × 10 3 -kg barge with a force of 20.0 × 10 3 N , what are the acceleration of the barges and the tension in the coupling cable?

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An object with mass m moves along the x -axis. Its position at any time is given by x ( t ) = p t 3 + q t 2 where p and q are constants. Find the net force on this object for any time t .

m (6 pt + 2 q )

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A helicopter with mass 2.35 × 10 4 kg has a position given by r ( t ) = ( 0.020 t 3 ) i ^ + ( 2.2 t ) j ^ ( 0.060 t 2 ) k ^ . Find the net force on the helicopter at t = 3.0 s .

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Located at the origin, an electric car of mass m is at rest and in equilibrium. A time dependent force of F ( t ) is applied at time t = 0 , and its components are F x ( t ) = p + n t and F y ( t ) = q t where p , q , and n are constants. Find the position r ( t ) and velocity v ( t ) as functions of time t .

v ( t ) = ( p t m + n t 2 2 m ) i ^ + ( q t 2 2 ) j ^ and r ( t ) = ( p t 2 2 m + n t 3 6 m ) i ^ + ( q t 3 60 m ) j ^

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A particle of mass m is located at the origin. It is at rest and in equilibrium. A time-dependent force of F ( t ) is applied at time t = 0 , and its components are F x ( t ) = p t and F y ( t ) = n + q t where p , q , and n are constants. Find the position r ( t ) and velocity v ( t ) as functions of time t .

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A 2.0-kg object has a velocity of 4.0 i ^ m/s at t = 0 . A constant resultant force of ( 2.0 i ^ + 4.0 j ^ ) N then acts on the object for 3.0 s. What is the magnitude of the object’s velocity at the end of the 3.0-s interval?

9.2 m/s

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A 1.5-kg mass has an acceleration of ( 4.0 i ^ 3.0 j ^ ) m/s 2 . Only two forces act on the mass. If one of the forces is ( 2.0 i ^ 1.4 j ^ ) N, what is the magnitude of the other force?

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A box is dropped onto a conveyor belt moving at 3.4 m/s. If the coefficient of friction between the box and the belt is 0.27, how long will it take before the box moves without slipping?

1.3 s

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Shown below is a 10.0-kg block being pushed by a horizontal force F of magnitude 200.0 N. The coefficient of kinetic friction between the two surfaces is 0.50. Find the acceleration of the block.

An illustration of a 10.0 kilogram block being pushed into a slope by a horizontal force F. The slope angles up and to the right at an angle of 30 degrees to the horizontal and the force F points to the right.
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As shown below, the mass of block 1 is m 1 = 4.0 kg, while the mass of block 2 is m 2 = 8.0 kg . The coefficient of friction between m 1 and the inclined surface is μ k = 0.40 . What is the acceleration of the system?

Block 1 is on a ramp inclined up and to the right at an angle of 37 degrees above the horizontal. It is connected to a string that passes over a pulley at the top of the ramp, then hangs straight down and connects to  block 2. Block 2 is not in contact with the ramp.

5.4 m/s 2

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A student is attempting to move a 30-kg mini-fridge into her dorm room. During a moment of inattention, the mini-fridge slides down a 35 degree incline at constant speed when she applies a force of 25 N acting up and parallel to the incline. What is the coefficient of kinetic friction between the fridge and the surface of the incline?

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A crate of mass 100.0 kg rests on a rough surface inclined at an angle of 37.0 ° with the horizontal. A massless rope to which a force can be applied parallel to the surface is attached to the crate and leads to the top of the incline. In its present state, the crate is just ready to slip and start to move down the plane. The coefficient of friction is 80 % of that for the static case. (a) What is the coefficient of static friction? (b) What is the maximum force that can be applied upward along the plane on the rope and not move the block? (c) With a slightly greater applied force, the block will slide up the plane. Once it begins to move, what is its acceleration and what reduced force is necessary to keep it moving upward at constant speed? (d) If the block is given a slight nudge to get it started down the plane, what will be its acceleration in that direction? (e) Once the block begins to slide downward, what upward force on the rope is required to keep the block from accelerating downward?

a. 0.60; b. 1200 N; c. 1.2 m/s 2 and 1080 N; d. −1.2 m/s 2 ; e. 120 N

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Questions & Answers

what is vector
Abdulrahman Reply
A quantity having both magnitude and direction
How to calculate for overall displacement
Eseoghene Reply
Well, take Final Position-Starting position
what is velocity
Austine Reply
speed per unit time is called velocity. it is a vector quantity
velocity is distances overall time taking,it is a vector quantity, the units is metre per second.
frequency is rate at which something happens or is repeated. it is a vector quantity
what is the difference between resultant force and net force
Ogali Reply
net force is when you add forces numerically I.e. the total sum of all positive and negative or balanced and unbalanced forces. resultant force is a single vector which is the combination or addition of all x and y axes vector component forces in a system.
resultant force is applied to hold or put together an object moving at the wrong direction. in other words it repairs.
Damping is provided by tuning the turbulence levels in the moving water using baffles.How it happens? Give me a labelled diagram of it.
Shaina Reply
A 10kg ball travelling at 4meter per second collides elastically in a head-on collision with a 2kg ball.What are (a)the velocities and (b)the total momentum of the balls after collision?
Law Reply
a)v1 8/3s&v2 20/3s. b)in elastic collision total momentum is conserved.
multiply both weight which is 10*2 divided by the time give 4. and our answer will be 5.
The displacement of the air molecules in sound wave is modeled with the wave function s(x,t)=5.00nmcos(91.54m−1x−3.14×104s−1t)s(x,t)=5.00nmcos(91.54m−1x−3.14×104s−1t) . (a) What is the wave speed of the sound wave? (b) What is the maximum speed of the air molecules as they oscillate in simple harmon
Shaina Reply
the question is wrong. if you need assistance with displacement I can help out.
practical 1st year physics
Nsc Reply
allot of practicals, be specific with your topic and we can discuss.
Whats the formular for newton law of motion
Ahmad Reply
F=m×a Where F=force M=mass of a body of an object a=acceleration due to gravity
what is speed
Hassan Reply
distance travelled per unit of time is speed.
distance travelled in a particular direction it is.
Speed is define as the distance move per unit time. Mathematically is given as Speed = distance/time Speed = s/t
speed is a vector quantity. It is defined distance per unit time.It's unit in c.g.s cm/s and in S.I. m/s.It’s dimension is LT^-1
formula for velocity
Amraketa Reply
v=ms^-1 velocity=distance time
(p-a/v)(v-b)=nrt what is the dimension of a
velocity= displacement time
Velocity = speed/time
what are evasive medical diagnosis?
Shaina Reply
If the block is displaced to a position y , the net force becomes Fnet=k(y−y0)−mg=0Fnet=k(y−y0)−mg=0 . But we found that at the equilibrium position, mg=kΔy=ky0−ky1mg=kΔy=ky0−ky1 . Substituting for the weight in the equation yields. Show me an equation of graph.
where are you come from
samastipur Bihar
simple harmonic motion defination
Maharam Reply
how to easily memorize motion equation
how speed destrog is uranium
Sayed Reply
where can we find practice problems?
bonokuhle Reply
I'm not well
Practice Key Terms 2

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Source:  OpenStax, University physics volume 1. OpenStax CNX. Sep 19, 2016 Download for free at http://cnx.org/content/col12031/1.5
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