Physics-
General
Easy

Question

The relation between the displacement X of an object produced by the application of the variable force F is represented by a graph shown in the figure. If the object undergoes a displacement from X equals 0.5 blank m to X equals 2.5 blank m the work done will be approximately equal to

  1. 16 blank J    
  2. 32 blank J    
  3. 1.6 blank J    
  4. 8 blank J    

The correct answer is: 16 blank J


    Work done = Area under curve and displacement axis
    = Area of trapezium
    equals fraction numerator 1 over denominator 2 end fraction cross times open parentheses s u m blank o f blank t w o blank p a r a l l e l blank l i n e s close parentheses cross times d i s t a n c e blank b e t w e e n blank t h e m
    equals fraction numerator 1 over denominator 2 end fraction open parentheses 10 plus 4 close parentheses cross times open parentheses 2.5 minus 0.5 close parentheses equals fraction numerator 1 over denominator 2 end fraction 14 cross times 2 equals 14 blank J
    As the area actually is not trapezium so work done will be more than 14 blank J i. e. approximately 16 blank J

    Related Questions to study

    General
    physics-

    In the given curved road, if particle is released from A then

    In the given curved road, if particle is released from A then

    physics-General
    General
    physics-

    A body of mass 2 blank k g slides down a curved track which is quadrant of a circle of radius 1 blank m e t r e. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track is

    A body of mass 2 blank k g slides down a curved track which is quadrant of a circle of radius 1 blank m e t r e. All the surfaces are frictionless. If the body starts from rest, its speed at the bottom of the track is

    physics-General
    General
    physics-

    A 10 kg brick moves along an x-axis. Its acceleration as a function of its position is shown in figure. What is the net work performed on the brick by the force causing the acceleration as the brick moves from x equals 0 to x equals 8.0m?

    A 10 kg brick moves along an x-axis. Its acceleration as a function of its position is shown in figure. What is the net work performed on the brick by the force causing the acceleration as the brick moves from x equals 0 to x equals 8.0m?

    physics-General
    parallel
    General
    physics-

    Force F on a particle moving in a straight line varies with distance d as shown in the figure. The work done on the particle during its displacement of 12 blank m

    Force F on a particle moving in a straight line varies with distance d as shown in the figure. The work done on the particle during its displacement of 12 blank m

    physics-General
    General
    physics-

    The potential energy of a system is represented in the first figure. The force acting on the system will be represented by

    The potential energy of a system is represented in the first figure. The force acting on the system will be represented by

    physics-General
    General
    physics-

    The work done by force acting on a body is as shown in the graph. The total work done in covering an initial distance of 20 m is

    The work done by force acting on a body is as shown in the graph. The total work done in covering an initial distance of 20 m is

    physics-General
    parallel
    General
    physics-

    Two rectangular blocks A blankand B blankof masses 2kg and 3 kg respectively are connected by spring of spring constant 10.8 N m to the power of negative 1 end exponentand are placed on a frictionless horizontal surface. The block A blankwas given an initial velocity of 0.15 m s to the power of negative 1 end exponent in the direction shown in the figure. The maximum compression of the spring during the motion is

    Two rectangular blocks A blankand B blankof masses 2kg and 3 kg respectively are connected by spring of spring constant 10.8 N m to the power of negative 1 end exponentand are placed on a frictionless horizontal surface. The block A blankwas given an initial velocity of 0.15 m s to the power of negative 1 end exponent in the direction shown in the figure. The maximum compression of the spring during the motion is

    physics-General
    General
    physics-

    Six identical balls are linked in a straight groove made on a horizontal frictionless surface as shown. Two similar balls each moving with a velocity v collide elastically with the row of 6 balls from left. What will happen

    Six identical balls are linked in a straight groove made on a horizontal frictionless surface as shown. Two similar balls each moving with a velocity v collide elastically with the row of 6 balls from left. What will happen

    physics-General
    General
    physics-

    A force F acting on an object varies with distance x as shown here. The force is in n e w t o n and xin m e t r e. The work done by the force in moving the object from x equals 0 to x equals 6 m is

    A force F acting on an object varies with distance x as shown here. The force is in n e w t o n and xin m e t r e. The work done by the force in moving the object from x equals 0 to x equals 6 m is

    physics-General
    parallel
    General
    physics-

    What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of 10 blank c m (Take g equals 9.8 blank m divided by s to the power of 2 end exponent)

    What is the velocity of the bob of a simple pendulum at its mean position, if it is able to rise to vertical height of 10 blank c m (Take g equals 9.8 blank m divided by s to the power of 2 end exponent)

    physics-General
    General
    physics-

    The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant k and compresses it by length L. The maximum momentum of the block after collides is

    The block of mass M moving on the frictionless horizontal surface collides with the spring of spring constant k and compresses it by length L. The maximum momentum of the block after collides is

    physics-General
    General
    physics

    The area covered by the curve of V-t graph and time axis is equal to magnitude of

    The area covered by the curve of V-t graph and time axis is equal to magnitude of

    physicsGeneral
    parallel
    General
    physics-

    In a children’s park, there is a slide which has a total length of 10 m and a height of 8.0 m. A vertical ladder is provided to reach the top. A boy weighing 200 N climbs up the ladder to the top of the slide and slides down to the ground. The average friction offered by the slide is three-tenth of his weight. The work done by the slide on the boy as he comes down is

    In a children’s park, there is a slide which has a total length of 10 m and a height of 8.0 m. A vertical ladder is provided to reach the top. A boy weighing 200 N climbs up the ladder to the top of the slide and slides down to the ground. The average friction offered by the slide is three-tenth of his weight. The work done by the slide on the boy as he comes down is

    physics-General
    General
    physics-

    A mass ‘m’ moves with a velocity 'v’ and collides in elastically with another identical mass. After collision the Ist mass moves with velocity fraction numerator v over denominator square root of 3 end fraction in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision

    A mass ‘m’ moves with a velocity 'v’ and collides in elastically with another identical mass. After collision the Ist mass moves with velocity fraction numerator v over denominator square root of 3 end fraction in a direction perpendicular to the initial direction of motion. Find the speed of the 2nd mass after collision

    physics-General
    General
    physics-

    A toy car of mass 5 kg moves up a ramp under the influence of force F plotted against displacement x. The maximum height attained is given by

    A toy car of mass 5 kg moves up a ramp under the influence of force F plotted against displacement x. The maximum height attained is given by

    physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.