Acceleration in 2D

Q.

A mass falls from a height ‘h’ and its time of fall ‘t’ is recorded in terms of time period T of a simple pendulum. On the surface of earth it is found that t = 2T. The entire set up is taken on the surface of another planet whose mass is half of that of earth and radius the same. Same experiment is repeated and corresponding times noted as t' and T'. Then we can say

Q. Q A man of 50 kg mass is standing in a gravity free space at a height of 10 m above the floor.He throws a stone of 0.5kg mass downwards with a speed 2m/s.When the stone reaches the floor, the distance of the man above the floor will be

Q. A body is thrown vertically upward with 55m/s (g=10). Distance travelled by the body in 6th second is

Q. A particle of mass m is thrown horizontally from the top of a tower and another particle of mass 2m is thrown vertically upward. The acceleration of centre of mass is?

Q. 27. A particle of mass m is thrown at an angle alpha with the vertical with initial velocity u under gravity the angular momentum of the particle about point of projection when at highest point will be

Q. a partivle is thrown vertically up with a initial velocity of 60m/s the dis†an ce covered by the particle in first 2 s of descent will be

Q. Two balls A and B are thrown vertically upwards from the same location on the surface of the earth with velocities 2 \sqrt{gR÷} and \sqrt{2gR÷3} respectively, whre R is the radius of the earth and g is the acceleration due to gravity on the surface of the earth. determine the ratio of the maximum height attained by A to that attained by B.

Q. A ball of mass m is thrown vertically upwards another ball of mass 2m is thrown at an angle theta with the vertical both of them stay in air for same period of time the heights attained by the two balls are in the ratio of

Q.

A particle hanging from a spring stretches it by 1 cm at earth's surface. How much will the same particle stretch the spring at a place 800 km above the earth's surface? Radius of the earth = 6400 km.

1. 1.2cm

2. 0.79 cm.

3. 0.29 cm.

4. 0.99 cm.

Q. time of flight for the ground to ground projection of a body of mass 2kg is is 8 s . if the horizontal component of velocity of projection of 20 m/s then magnitude of torque of the force acting of body at the highest point about the point of projection

Q. 4. A 500 kg horse pulls a cart of mass 1500along a level road with an acceleration of1 m/s. If coefficient of sliding friction is 0then force exerted by the earth on horse is1)3000N 2)4000N 3)5000 N 4)6000N

Q. A boy is standing on a plank which is acceleratingvertically upwards with constant acceleration. If boythrows a ball vertically up with velocity V relativeto plank and its time of flight is T, the accelerationof the plank, is

Q. a ball of mass m is thrown upward and another ball ofsame mass is thrown downward so as to move freely under gravity . The acceleration of centre of mass is

Q. 35. A body is thrown vertically upward with 45m/s .Distance travelled by the body in 5th second is (g=10m/s*2)? 1.1.25m 2.2.5m 3.zero 4.5m

Q. A body is dropped from a height 100m high cliff and at the same time another body is thrown from the ground with 25m/s velocity in upward direction.Where the 2 will meet?take g=10m/

Q. A ball thrown vertically up with speed v and comes back to starting point with speed v. The velocity of ball for whole journey is?

Q. when a particle is thrown vertically upwards, its velocity at one third of its maximum height is 10root2m/s.the maximum height attained by it is

Q. a 0.5 kg ball moving with a speed of 12 m/s strikes a hard wall at an angle of 30 degree with the wall it is reflected with the same speed and at the same angle if the ball is in contact wit the wall for 0.25 sec the average force acting along the wall is

Q. The coordinates of a moving particle at any time ${}^{\prime }{t}^{\prime }$ are given by $x=t^3$ and $y=4t^2$, where $x$ and $y$ are in metre and $t$ in second. The acceleration of the particle at time $t=1s$ is given by

1. $6{\text{ms}}^{-2}$
2. $8{\text{ms}}^{-2}$
3. $10{\text{ms}}^{-2}$
4. $14{\text{ms}}^{-2}$

Q. A mass m is suspended by a massless string forming a simple pendulum of length 2.0 m. The string of the pendulum is initially at an angle of 60° with the vertically downward direction when the mass is released from rest. Centripetal acceleration of the mass m when it is at lowest position, is

Q. two particles of mass 2 kg and 4 kg are projected from the top of a tower simultaneously such that 2 kg is with speed 20 m/s at an angle 30 above horizontal and 4 kg is with 40 m/s horizontally. Acceleration of centre of mass of the system of two particles is

Q. Two similar balls are thrown upwards along the same vertical straight line at an interval of 2 seconds with same initial speed of 40 m/s.They collide at a height of (take g =10m/s2)

Q.

A particle moves along a straight line according to the law $s=16–2t+3t^3$, where $s$ is the distance of the particle from a fixed point at the end of $tsec$. The acceleration of the particle at the end of $2s$ is

1. $36m/s^2$

2. $34m/s^2$

3. $36m$

4. None of these

Q. a particle is thrown vertically up with speed u so that dis†an ce covered in last second of flight is 35m.if g=10m/s2 then initial speed of throw i

Q. A particle is decelerating while moving on a circular path clockwise as shown in the figure. When it is at point $\text{A}$, the direction of its net acceleration is best represented as

1. 
2. 
3. 
4. 

Q. a particle is projected vertically upward with speed u=10m/s^{2.}during its journey air applies a force pf-0.2v^2on the particle.whatis the maximum height attained by the particle where mass=2kg?

Q. An object is being thrown at a speed of 20m/s in a direction 45^0 above horizontal . he time taken by the object to return to same level is (1) 20/g (2) 20g (3) 20\sqrt2 /g (4) 20\sqrt{2 } g

Q. 30. A body thrown vertically upwards reach es its maximum height in time t The body os at height h (less than max. height) at two instants of time t1 & t2 . Hence product t1t2 is

Q. 2015. A ball of mass m is thrown from ground with speedu at an angle 0 with horizontal. Find the powerheight of thewhen the ball is at maximumtrajectory(1) mgucos(2) mgucose(3) mgusine(4) Zero

Q. A particle starts from the origin at t = 0 s with a velocity of 10.0 j m/s and moves in the x-y plane with a constant acceleration of (8.0 iˆ + 2.0 jˆ ) m s¯². (a) At what time is the x- coordinate of the particle 16 m? What is the y-coordinate of the particle at that time? (b) What is the speed of the particle at the time ?