Newton's law of motion Questions and Answers

The force F acting on a particle of mass m is 39 indicated by the force time graph shown below The change in momentum of the particle over the time interval from zero to 8 s is IMA 34 F 1 24 Ns 3 12 Ns 2 20 Ns 4 6 Ns t s BE A t 8 2 2 1 24 N 3 12 Ns 8 2 20 Ns 4 6 Ns

All surfaces shown in figure are frictionless pulley and strings are light Pulley P can move frictionlessly with a smooth light collar c Block A and B have mass m and 2m respectively Block B is pulled by a horizontal force F mg as shown in figure Then 2m P3 P o B A P2 C A Acceleration of block A is g 2 B Acceleration of block B is g 2 C Acceleration of pulley P is g towards left F mg

A man pulls a loaded trolley of mass 70 kg along a horizontal surface at constant velocity as shown in Fig 2 39 The coefficient of kinetic friction between l k the tyres of the trolley and the road is 0 1 and the angle

NURTURE PHASE I TO MII INTERNAL TEST 06 23 09 2020 If the coefficient of friction is 3 the angle of

In the below figure if the coefficient of friction between 2 kg and incline is u 0 2 and that between the block of mass 4 kg and the incline is 0 30 The acceleration 2 kg block is g 10 m s 4kg 2kg 30 1 2 7 m s 2 10 m s 4 11 m s 3 5 m s Aeroplane are stream lined to reduce 1 Fluid friction 3 Kinetic friction 2 Sliding friction 4 Limiting friction

Two blocks of masses 2 kg and 3 kg are connected by massless spring and are placed on smooth surface If impulse is given to 2 kg block and block starts moving with velocity 10 m s in ve x direction then velocity of 2 kg block w r t centre of mass is 1 4 m s ve x direction 2 6 m s ve x direction 3 4 m s x direction 4 6 m s x direction

In the figure pulleys are smooth and strings are massless m 1 kg and m kg To keep m at rest mass m should be m m m

The pulleys and the strings are light and all surfaces are frictionless If accelerations of mass M and 2M are a and a respectively then 22 1 a 2a 3 a 3 O 2M M 2 2a 3 4 a 4a

Question No 4 A block of mass 10 kg is at rest on rough inclined of inclination 37 with help of a constant force F Force F have magnitude 20 N At t 0 another force F2 start acting on block Magnitude of force F2 changes with time as F 10t N Both forces F and F2 are parallel to inclined and are acting up the inclined Friction force acting on block is f Match the list I and List II Coefficient of friction between block and inclined is 0 5 List l List ll t 4 sec t 7 sec III t 10 sec IV t 15 sec 1 P f 0 Q f 30 N R f 40 N S f 60 N T f 80 N 10kg 37 F 20N F 10t Save Ne

Block A of mass 1 kg is kept on block B of mass 2 kg which is kept on smooth surface as shown in figure At t 0 both blocks are at rest a force of 6N is applied on block B Friction coefficient between A B is 0 5 Which of the following is are correct A 0 5 Acceleration of both the blocks is 2 m s Work done by friction in ground frame on A is zero from t 0 to t 2 sec Friction force on A is 2N B Kinetic energy of A at t 2 sec is 8J View In Engleh

Two masses m 1kg and m 2 kg are connected by a light inextensible string and suspended by means of a weightless pulley as shown in the figure m 2kg Assuming that both the masses start from rest the distance travelled by m in 2 s is take g 10m s 20 1kg m 20 40

3 11200 N 4 9600 N A block is placed on the top of a smooth inclined plane of inclination kept on the floor of a lift When the lift is descending with a retardation a the block is released The acceleration of the block relative to the incline is 2 a sin 0 4 g a sin 0 1 g sin 0 3 g a sin 0

Two masses M and M are attached to the e of a string which passes over a pulley attached the top of an inclined plane The angle of inclination of the plane is 30 and M 10 kg M 5 kg What is the accelerati of mass M Inclined plane pulley both are smooth 1 10 m s 3 Zero M Fixed 10 30 M ele 2 5 m s 4 Date insufficient

A string of negligible mass going over a clamped pulley of mass m supports a block of mass M as shown in the figure The force on the pulley by the clamp is given by 2001 2M a 2 Mg c g M m m m M b 2 mg d g M m M

monkey is descending from the branch of ith a constant acceleration If the breaking rength of the branch is 75 of the weight onkey the minimum acceleration with whi onkey can slide down without breaking the anch is g g 2 2 3g 4 4 g 4

A 50 kg boy stands on a platform spring scale in a lift that is going down with a constant speed 3 m s If the lift is brought to rest by a constant deceleration in a distance of 9 m what does the scale read during this period Take g 9 8 m s 1 500 N 3 515 N 2 465 N 4 Zero 800

ALLEN ARGER INST TARGET PRE MEDICAL 2 A ball of mass 1 kg hangs in equilibrium from a two strings OA and OB as shown in figure What are the tensions in strings OA and OB respectively Take g 10m s A30 1 SN SN 60 90 120150 T W 10 N 2 5 5 N 5 3 N

onsider an elevator moving downwards w celeration a the force exerted by a passe mass m on the floor of the elevator is ma 2 ma mg 3 mg ma 4 mg ma wo masses M and M are attached to th

A 40 N block supported by two ropes One rope is horizontal and the other makes an angle of 30 with the ceiling The tension in the rope attached to the ceiling is approximately g 10m s 1 80 N 3 40 3 N 4 kg 30 2 40 N 40 4 3 N

horizontally in a vertical plane by two light strings PA and QB as shown in the figure G is the centre of gravity of the rod If PA and QB make angles 30 and 60 respectively with the vertical the ratio IPA TOB 130 is A G W B

An elevator and its load have a total mass of 800 kg If the elevator originally moving downward at 10 m s is brought to rest with constant deceleration in a distance of 25 m the tension in the supporting cable will be Take g 10m s 1 8000 N 3 11200 N 2 6400 N 4 9600 N

A body of mass 0 5 kg is placed on ground The coefficient of friction between the mass and the ground is us 0 2 A horizontal force F 2 sin t is applied on the mass as shown in the figure Find the 77 velocity of the body when its acceleration becomes zero for the first time after start Take g 10 m s A 0 C 2 73 m s B 3 6 m s D none of these

A monkey B shown in figure is holding on to the tail of monkey A who is climbing up a rope The masses of the monkey A and B are 5 kg and 2 kg respectively If A can tolerate a tension of 30 N in its tail what force should it apply on rope to carry the monkey B with it A 70 N C Between 70 and 105 N B 105 N D cannot say

Three blocks are placed at rest on a smooth inclined plane with force acting on m parallel to the inclined plane Find the contact force between m and m F 1 10 m m2 m m m F m m3 2 m F m m m

man of mass 50 kg stands on a frame of mass 30 kg He pulls on a light rope which passes over a pulley The other end of the rope is attached to the frame For the system to be in equilibrium what force man must exert on the rope g 10m s 1 100 N 3 300 N 2 400 N 4 500 N

Two blocks A and B of same mass are connected through a string and arranged as shown in figure When the system is released from rest and there is no friction then A acceleration of A is g 2 B acceleration of A is g 4 C tension in the string is zero D tension in the string is mg 4 my 30 whyl 1

The pulleys and strings shown in the figure are smooth and of negligible mass For the system to remain in equilibrium the angle a should be m 1 0 3 45 2 2m 2 30 4 60 m

A block of mass 10 kg is suspended by three strings as shown in the figure The tension T is 100 N 3 3 100N questionper 60 T T 10 kg 30 T 100 2 N 4 50 3 N

A block of mass 10 kg is at rest on rough inclined of inclination 37 with help of a constant force F Force F have magnitude 20 N At t 0 another force F2 start acting on block Magnitude of force F changes with time as F 10t N Both forces F and F are parallel to inclined and are acting up the inclined Friction force acting on block is f Match the list I and List II Coefficient of friction between block and inclined is 0 5 List l t 4 sec 11 t 7 sec t 10 sec IV t 15 sec List ll P f 0 Q f 30 N R f 40 N S f 60 N T f 80 N 10kg 37 F 20N F 10t

A body is moving with constant velocity on the path shown A B C D m Normal reaction exerted on body by path is greatest at NB Normal reaction exerted on body by path is least at Nc Normal force is greater than weight at B Normal force is lesser than weight at A D

2K A body A weighing W descends down on an inclined plane D which makes an angle a with the horizontal and pulls a load B that weighs W by in means of a weightless and inextensible thread passing over a small light pulley C as shown in figure If the horizontal component of the force is 37 W 40 N W 20 N neglect friction g 10 75 newton which the inclined plane D applies on the floor corner E Find the value of K Take a m s B F D

In figure all the pulleys and surfaces are frictionless A small block of mass mis pas fixed wedge take g 10ms P3 22 The tension in the string attached to mis 1 40 N 2 10 N 3 20 N 4 5N 23 The acceleration of mis 1 4 5 ms down the incline 2 4 5 ms up the incline 3 5 ms2 down the incline 4 5 ms2 up the incline 24 The acceleration of pulley p is 1 2 25 ms2 towards left 3 9mm t 2 2 25 m tovar

Two objects are connected by a light string passing over a light frictionless pulley as shown The object of mass 6 kg is released from rest g 10 m s A B C D 6 kg 4m m 4kg Time taken by object of mass 6 kg to strike the surface is 2sec Maximum height attained by block of mass 4 kg is 4 8 m Duration after which 6 kg block will leave the surface for the first time is 2 8 sec None of the above

A 29 0 cm long spring is hung vertically from a ceiling and stretches to 34 7 cm when an 8 50 kg mass is hung from its free end a Find the spring constant in N m b Find the length of the spring in cm if the 8 50 kg weight is replaced with a 215 N weight

Sir Ma am please explain the area calculation in details in the part above x axis because in the part beside 0 to 10 al ong positive y axis there is no force starting and just forc e starts from 10N so in this case how can we calculate the area of that part please explain 9 Figure shows the variation of a force F acting on a particle along x axis If the particle begins at rest at x 0 what is the particle s coordinate when it again has zero speed F N 20 104 10 20 1 2 1 x 3 3 x 5 3 4 5 6 18 9 10 2 X 6 4 x 7 x m

Example 6 7 A block of mass m can slide freely in a slot made in a bigger block of mass M as shown in Fig 6 260 There is no friction anywhere in the system The block m is connected to one end of a string whose other end is fixed at point P System is released from rest when the string at P makes an angle with horizontal Find the accelerations of m and M just after release M Fig 6 260

48 A linear rigid rod of mass m and length falls freely under gravity at an angular position a with vertical upward direction The rod makes inelastic impact with the smooth ground at end A Just after impact g g A 1 Acceleration of centre of mass is 3 sin 1 3 sin a 1 2 Acceleration of centre of mass is sin a 1 3 sin a 1 A The no 3 The acceleration of end A is B ration and A in 3g sin a cos a 1 3 sin a g sina cosa

sses m and m are connected by a string going over a clamped light smooth pulley In a typical arrangement figure 5 E7 m 300 g and m 600 g The system is released from rest a Find the distance travelled by the first block in the first two seconds b Find the tension in the string c Find the force exerted by the clamp on the pulley m 0 FEM m Figure 5 E7 Consider the Atwood machine of the previous

Choose the correct statement s Newton s 1st law of motion is applicable only in inertial reference frame A reference frame moving with constant velocity with with respect to another reference frame implies that they both can either be inertial or both non inertial reference frame For action reaction pair first the action and thon ropotion takes plago 000

A block of mass m is placed on wedge mass m shown in fig Find out magnitude of force F such tha block m remain stationary w r t wedge All surfaces are frictionless and acceleration due to gravity is g m m g sin 8 m g tan 8 m g tan e m m g tan e m

2 Two blocks A and B of mass 2m and m respectively are connected to a spring of spring constant k A horizontal force F 5mg is applied to block A as indicated If acceleration of block B at the instant is g then acceleration of block A at that instant is 1 2g 3 2g BooooooooAF Smooth 2 3g 4 3g

Question Type Multiple Correct A Q No 3 Marks 4 00 1 00 View In 10N between block have minimum value of u Ho V Then choose CORRECT statement Ho 0 1 Ho 0 2 A 2kg 3kg English V

A certain metallic surface is illuminated with monochromatic light of wavelength The stopping potential for photo electric current for this light is 3V If the same surface is illuminated with light of wavelength 27 the stopping potential is V The threshold wavelength for this surface for photo electric effect is AIPMT 2015 1 2 6 3 41 2 62 4 2 4

A DIOCK OI ontal table surface at initial speed vo It then moves smoothly onto a sloped wedge of mass M The wedge can also move on the table surface Assume that everything moves without friction Which of the following statement s is are correct m V M COM of the system always moves rightward COM of the system moves upwards for some time Speed of M always increases during contact with m Speed of COM of the system is always constant

A flexible chain of weight W hangs between two fixed points A and B at same level The inclination o the chain with the horizontal at the two points of support is 60 What is the tension of the chain at the point P where inclination of chain with horizontal is 30 A B 2W 3 W 2 C W W B

A block of mass M is placed on a horizontal surface It is tied with an inextensible string that passes through ideal pulleys A mass m is connected to the pulley as shown For what value of m the block M will accelerate towards the fixed pulley 1 N 3 M 2 M M HO m

This section contains FOUR 04 questions Each question has FOUR options ONLY ONE of these four options is the correct answer For each question choose the option corresponding to the correct answer Answer to each question will be evaluated according to the following marking scheme 3 3 IF ONLY the correct option is chosen Full Marks Zero Marks Negative Marks 1 If none of the options is chosen i e the question is unanswered In all other cases In the given diagram if the spring connecting D and C is cut then what will be the accelerations of blocks A B C D at that insta leon0000 4kg 13kg

A block of mass 3 kg is placed on a smooth horizontal surface A small block of mass 2 kg is place over the 3 kg block Now a force of 10 N is acted upon 3 kg blocks For both blocks to move together le friction cofficient between block have minimum value of u Ho Then choose CORRECT statement u 2kg 3kg 10N

correct option s will result in 1 marks A truck is moving such that block of 1kg mass remain at rest w r t truck then O Acceleration of truck is less than 5 m s Truck 1kg O p 0 5 Acceleration of truck must be greater than 20 m s If acceleration of truck is 25 m s then normal contact force between truck block is 25N If acceleration of truck is 20 m s then friction force between truck block is 10 N

block m doesn t slide down 1 m g m 3 g 3 m 1 a m 9 M m mag m 55 A block of mass m kg is kept on a weighing machine in an elevator If the elevator is retarding upward by a ms 60 V the reading of weighing machine is in kgf mg m g m m 2 m g a 59 Se 4 m g a 2