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Recent questions tagged ch6

A spring has a natural length of 1 meter.A force of 25 Newtons stretches the spring by $\large\frac{1}{4}$ of a meter.Determine how much work is done by stretching the spring from a length of 1.5 meters to 2.5 meters.

asked Sep 1, 2014 by sreemathi.v

1 answer

A spring has natural length 30 cm,and a force of 50 Newtons(N) is required to extend it to 35 cm.How much work is required to extend it from 32 to 36 cm?

asked Sep 1, 2014 by sreemathi.v

1 answer

A spring has a natural length of 20 cm. A 40 N force is required to stretch (and hold the spring) to a length of 30 cm. How much work is done in stretching the spring from 35 cm to 38 cm?

asked Sep 1, 2014 by sreemathi.v

1 answer

A block whose mass $m$ is $15\; kg$ slides on a horizontal frictionless surface with a constant speed $v$ of $3.7m/s$.It is brought momentarily to rest as it compresses a spring in its path.By what distance $d$ is the spring compressed?The spring constant $k$ is $1500\;N/m$

asked Sep 1, 2014 by sreemathi.v

1 answer

A spring has a natural length of 14 meters.If a force of 5N is required to keep the spring stretched 2 meters.How much work is done in stretching the spring from its natural length to a length of 18 meters.

asked Sep 1, 2014 by sreemathi.v

1 answer

A gas in a piston cylinder assembly undergoes an expansion process where $PV^{1.5}$=constant.The initial pressure is 3 bar,the initial volume is $0.1m^3$ and the final volume is $0.2m^3$.Determine the work done for this process.

asked Sep 1, 2014 by sreemathi.v

1 answer

We have a cable that weighs 2lbs/ft attached to a bucket filled with coal that weighs 800lbs.The bucket is initially at the bottom of a 500 ft mine shaft.Determine the amount of work required to lift the bucket to the midpoint of the shaft.

asked Sep 1, 2014 by sreemathi.v

1 answer

A particle of mass 0.5 kg moves on the positive $x$-axis under the action of a variable force $\large\frac{40}{x^2}$ newtons,directed away from origin..The particle passes through a point 2 metres from origin,with velocity $8ms^{-1}$ away from origin. Its experiences a constant resistance force of 6 newtons. Find the speed of the particle when it is 5 metres from origin.

asked Sep 1, 2014 by sreemathi.v

1 answer

Find the work done by F as it moves from a to b.

asked Sep 1, 2014 by sreemathi.v

1 answer

A 106g bullet is fired from a rifle having a barrel 0.441m long.Assuming the origin is placed where the bullet begins to move,the force exerted on the bullet by the expanding gas is $F=a+bx-cx^2$,where $a=13500N,b=8170N/m,c=24000N/m^2$,with $x$ in meters.With what velocity does the bullet exit the barrel?

asked Sep 1, 2014 by sreemathi.v

1 answer

A 106g bullet is fired from a rifle having a barrel 0.271m long.Assuming the origin is placed where the bullet begins to move,the force exerted on the bullet by the expanding gas is F=a+bx-cx$^2$,where a=13500N, b=8170N/m,c=24000N/m$^2$,with x in meters.Determine the work done by the gas on the bullet as the bullet travels the length of the barrel.

asked Sep 1, 2014 by sreemathi.v

1 answer

Force $F=(3x^2N)i+(4N)j$ acts on a particle changing only the kinetic energy of the particle.How much work is done on the particle as it moves from coordinates (2m,3m) to (3m,0m)?

asked Sep 1, 2014 by sreemathi.v

1 answer

What work is done by a force $F=(2xN)i+(3N)j$,with $x$ in meters,that moves a particle from a position $r_i=(2m)i+(3m)j$ to a position $r_f=-(4m)i-(3m)j$?

asked Sep 1, 2014 by sreemathi.v

1 answer

A particle moves along the $x$-axis from $x=0$ to $x=1$ under the influence of the force $F=(1+x^2)^{-1}$.Find the work done by this force.

asked Sep 1, 2014 by sreemathi.v

1 answer

A force $F_x$ acts on a particle.The force is related to the position of the particle by the formula $F_x=Cx^3$,where $C$ is a constant.Find the work done by this force on the particle when the particle moves from $x=1.5\;m$ to $x=3\;m$.

asked Sep 1, 2014 by sreemathi.v

1 answer

Work done in time t on a body of mass $m$ which is accelerated from rest to a speed $v$ in time $t_1$ as a function of time $t$ is given by

asked Sep 1, 2014 by sreemathi.v

1 answer

The vessels A and B of equal volume and weight are immersed in water to a depth h.The vessel A has an opening at the bottom through which water can enter.If the work done in immersing A and B are $W_A$ and $W_B$ respectively,then

asked Aug 28, 2014 by sreemathi.v

1 answer

A particle is moved along the $x$-axis by a force which measures $\large\frac{10}{(1+x)^2}$ at a point $x$ feet from the origin.Find the work done (in ft-lb) in moving a particle from the origin to a distance of 9ft.

asked Aug 28, 2014 by sreemathi.v

1 answer

A particle moves under the effect of a force $F=Cx$ from $x=0$ to $x=x_1$.The work done in the process is

asked Aug 28, 2014 by sreemathi.v

1 answer

A position dependent force $\overrightarrow{F}=(7-2x+3x^2)N$ acts on a small object of mass 2kg to displace it from $x=0$ to $x=5m$.The work done in joules is

asked Aug 28, 2014 by sreemathi.v

1 answer

A cable weighing 2lbs/ft is used to lift 800 lbs of coal up a mineshaft 500 ft deep.Find out how much work is done in ft-lbs.

asked Aug 28, 2014 by sreemathi.v

1 answer

A man lifts 100 boxes each of mass 15 g to a height of 1.5 m. Find the work done by the man against gravity

asked Aug 28, 2014 by sreemathi.v

1 answer

How much work is done when a constant force of 500 N is used to push a cart through a displacement of magnitude 25 m to final position along the $x$-axis

asked Aug 28, 2014 by sreemathi.v

1 answer

A constant force $F=(2\hat{i}+3\hat{j})$ newton displaces a body from position $r_1=(4\hat{i}-5\hat{j})$ metre to $r_2=(\hat{i}+3\hat{j})$ metre.Find the work done by the force.

asked Aug 28, 2014 by sreemathi.v

1 answer

How much work is done against gravity in lifting a 3kg object through a distance of 40cm?

asked Aug 28, 2014 by sreemathi.v

1 answer

A horizontal force F pulls a 20-kg carton across the floor at constant speed.If the coefficient of sliding friction between carton and floor is 0.60,how much work does F do in moving the carton 3.0m?

asked Aug 28, 2014 by sreemathi.v

1 answer

Figure shows the top view of two horizontal forces pulling a box along the floor the box is displaced 70cm along the broken line?What is the total work done by the two forces in pulling the box this distance?

asked Aug 28, 2014 by sreemathi.v

1 answer

A horizontal force of 25N pulls a box along a table.How much work does it do in pulling the box 80cm?

asked Aug 28, 2014 by sreemathi.v

1 answer

A cyclist comes to a skidding stop in 10 m. During this process, the force on the cycle due to the road is 200 N and is directly opposed to the motion.How much work does the road do on the cycle?

asked Aug 28, 2014 by sreemathi.v

1 answer

A block of mass m = 2kg is raised vertically upwards by means of a massless string through a distance of S=4m with a constant acceleration a=2.2ms$^{-2}$.Find the net work done on the block.

asked Aug 28, 2014 by sreemathi.v

1 answer

A horizontal force F pulls a 20kg box at a constant velocity along a horizontal floor.If the coefficient of friction between the box and the floor is 0.25,find the work done by force F in moving the box through a distance of 2m.

asked Aug 28, 2014 by sreemathi.v

1 answer

A man cleaning a floor pulls a vacuum cleaner with a force of magnitude F = 50.0 N at an angle of $30.0^{\large\circ}$ with the horizontal. Calculate the work done by the force on the vacuum cleaner as the vacuum cleaner is displaced 3 m to the right.

asked Aug 28, 2014 by sreemathi.v

1 answer

It is well known that a raindrop falls under the influence of the downward gravitational force and the opposing resistive force. The latter is known to be proportional to the speed of the drop but is otherwise undetermined. Consider a drop of mass 1.00 g falling from a height 1.00 km. It hits the ground with a speed of $50.0 m s^{-1}$.What is the work done by the unknown resistive force?

asked Aug 28, 2014 by sreemathi.v

1 answer

It is well known that a raindrop falls under the influence of the downward gravitational force and the opposing resistive force. The latter is known to be proportional to the speed of the drop but is otherwise undetermined. Consider a drop of mass 1.00 g falling from a height 1.00 km. It hits the ground with a speed of $50.0 m s^{-1}$.What is the work done by the gravitational force

asked Aug 28, 2014 by sreemathi.v

1 answer

A spherical ball of mass 20kg is stationary at the top of a hill of height 100m.It rolls down a smooth surface to the ground and then climbs up another hill of height 30m and finally rolls down to a horizontal base at a height of 20m above the ground.The velocity attained by the ball is

asked Aug 28, 2014 by sreemathi.v

1 answer

Consider the diagram below showing the trajectory of an object thrown from Point 0. Which of the following is true?

asked Aug 27, 2014 by balaji.thirumalai

1 answer

A position dependent force F = (10-2x +3x$^2$ ) N acts on a small object of mass 2 kg to displace it from x = 0 to x = 3m. The work done in Joules is

asked Aug 26, 2014 by balaji.thirumalai

1 answer

A particle of mass m moves in a straight line with its velocity varying with distance travelled according to the equation $v=a\sqrt {x}$ , where a is a constant. What is the total work done by all the forces during a displacement from x = 0 to x = d?

asked Aug 25, 2014 by balaji.thirumalai

1 answer

A block of mass 1.6 kg is attached to a horizontal spring that has a force constant of $1.0 \times 10^3 N/m$. The spring is compressed 2.0 cm and is then released from rest. Calculate the speed of the block as it passes through the equilibrium position if a constant friction force of 4 N retards its motion from the moment it is released

asked Aug 25, 2014 by balaji.thirumalai

1 answer

A block of mass 1.6 kg is attached to a horizontal spring that has a force constant of $1.0 \times 10^3 N/m$. The spring is compressed 2.0 cm and is then released from rest. Calculate the speed of the block as it passes through the equilibrium position $x= 0$ if the surface is frictionless.

asked Aug 25, 2014 by balaji.thirumalai

1 answer

A 2 Kg wood block is on a level board and held against a spring of spring constant k=100 N/m which has been compressed .1 m. The block is released and pushed horizontally across the board. The coefficient of friction between the block and the board is $\mu_k = .2$. Find the velocity of the block just as it leaves the spring.

asked Aug 25, 2014 by balaji.thirumalai

1 answer

A spring with a spring constant of 250 N/m has a length of 0.5 meters at rest. What magnitude of force is needed to stretch the spring so that is 0.75 meters long?

asked Aug 25, 2014 by balaji.thirumalai

1 answer

Which of the following is true, if no work is done by a force on an object?

asked Aug 25, 2014 by balaji.thirumalai

1 answer

IQ of a person is given by the formula $IQ= \large\frac{MA}{CA} $$ \times 100$ Where MA is a mental age and CA is chronological age. If $80 \leq IQ \leq 140$ for a group of 12 years old children find the range of their mental age .

asked Aug 5, 2014 by meena.p

1 answer

How many liters of water will have to be added to $1125$ liters of the $45\%$ solution of acid so that the resulting mixture will contain more than $25 \%$ but less than $30\%$ acid content ?

asked Aug 5, 2014 by meena.p

1 answer

A solution of $ 8 \%$ basic acid is to be diluted by adding $ 2 \%$ boic acid. Solution to it. The resulting mixture is to be more than $4 \%$ but less than $6 \%$ boric acid. If we have 640 litres of $8^{\circ} \%$ Solution , how many litres of $2 \%$ solution is to be added ?

asked Aug 5, 2014 by meena.p

1 answer

A solution is to be kept between $68^{\circ} F$ and $ 77^{\circ} F$ . What is the range in to temperature in degree ceisius (C) if the ceisius (C) if the ceisius / Fahrenheit (F) conversion. formula is given by $F= \large\frac{9}{8} $$c +32?$

asked Aug 5, 2014 by meena.p

1 answer

Solve the inequalities and represent the solution graphically on number line. $ 5(2x-7) - 3(2x+3) \leq 0 ; 2x+19 \geq 6x+47 $

asked Aug 5, 2014 by meena.p

1 answer

Solve the inequalities and represent the solution graphically on number line. $ 3x-7 > 2(x-6) ; 6-x > 11-2x $

asked Aug 5, 2014 by meena.p

1 answer

Solve the inequalities and represent the solution graphically on number line. $ 2(x-1) < x+5 ; 3(x+2) > 2-x $

asked Aug 4, 2014 by meena.p

1 answer

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