General Gravity Problem

Q. A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at $2\frac{m}{s^2}$. He reaches the ground with a speed of $3\frac{m}{s}$. At what height, did he bail out ?

1. 111 m
2. 91 m
3. 293 m
4. 182 m

Q. A conveyer belt is moving horizontally at a speed of 4 m/s. A box of mass 20 kg is gently laid on it. It takes 0.1 sec for the box to come to rest on belt. If the belt continues to move uniformly, then find the distance moved by the box on the conveyer belt before settling.

Q. A man drops a ball downside from the roof of a tower of height 400 meters. At the same time another ball is thrown upside with a velocity $50\frac{meter}{sec}$. from the surface of the tower, then they will meet at which height from the surface of the tower

1. 100 meters
2. 320 meters
3. 80 meters
4. 240 meters

Q. 10. Two identical balls are simultaneously thrown towardseach other from points P and Q horizontally separatedby 8 m, and situated at heights 4 m and 8 m above theground. One ball is thrown from P horizontally with aspeed of 8 mswhile the other is thrown downwardwith an initial speed of v at an angle of 45^° to thehorizontal (figure). The two balls collide in space, calculate (a) the initial speed of ball thrown from thepoint Q, (b) coordinates of the point of collision.g= 10 ms2.Q

Q.

A steel ball is dropped from a building's roof and passes a window, taking 1s to fall from the top to the window to the bottom of the window, a distance of 10m. It then falls to a sidewalk and bounces back past the window, moving from bottom to top in 1s. Assume that the upward flight is an exact reverse of the fall. The time the ball spends below the bottom of the window is 2s. How tall is the building?

1. 33.5 m

2. 30 m

3. 25.6 m

4. 31.25 m

Q. 3. Two blocks of masses 8kg and 12kg are connected at the ends of a light inextensible string the string passes over a frictionless pulley. The acceleration of the system is

Q.

A hot air balloon is ascending at the rate 42 m/s and is 80 m above the ground when a package is dropped over the side. (a) How long does the package take to reach the ground? (b) With what speed does it hit the ground?

1. t = 15s, u = - 58 m/s

2. t = 10 s, u = - 58 m/s

3. 

4. t = 10 s, u = 58 m/s

Q.

As a runaway scientific balloon ascends at 19.6 m/s, one of its instrument packages breaks free of a harness and free-falls. Figure below gives the vertical velocity of the package versus time, from before it breaks free to when it reaches the ground. (a) What maximum height above the break-free point does it rise? (b) How high is the break-free point above the ground?

Take g = 9.8 $m/s^2$

1. above break free point 19.6 m

   height of break free point 78.4

2. above break free point 78.4 m,

   height of break free point 19.6

3. above break free point 19.6 m,

   height of break free point 58.8

4. above break free point 58.8 m,

   height of break free point 9.8

Q. a juggler keeps 5 balls going with one hand so that at any instant 4 balls are in air and one in hand.if each raises to a height of 20 m then the time for which ball stays in the hand

Q. A particle was thrown with a speed of 20m/s at an angle of 30 degree with horizontal. Find its position along x and y axis at 1 second.

Q. A bullet of mass m moving at a velocity v hits a wooden block of mass M suspended by a string from rigid support. If the bullet gets embedded in the block, how high will the block rise, if the block was initially at rest?

Q. A body A is projected upwards with a velocity of $98\frac{m}{s}$. The second body B is projected upwards with the same initial velocity but after 4 sec. Both the bodies will meet after

1. 6 sec
2. 8 sec
3. 10 sec
4. 12 sec

Q. A particle is projected vertically upwards from ground with velocity 30 m/s. Distance travelled by particle during last second of its upward motion is [g = 10 m/s²]

एक कण को धरातल से 30 m/s के वेग से ऊर्ध्वाधर रूप से ऊपर की ओर प्रक्षेपित किया जाता है। कण द्वारा अपनी ऊपर की ओर गति के अन्तिम सेकण्ड के दौरान तय की गई दूरी है [g = 10 m/s²]

1. 5 m
2. 15 m
3. 10 m
4. 18 m

Q.

As a runaway scientific balloon ascends at 19.6 m/s, one of its instrument packages breaks free of a harness and free-falls. Figure below gives the vertical velocity of the package versus time, from before it breaks free to when it reaches the ground. (a) What maximum height above the break-free point does it rise? (b) How high is the break-free point above the ground?

Take g = 9.8 $m/s^2$

1. $h_{max}$above break free point 19.6 m

   height of break free point 78.4

2. $h_{max}$ above break free point 78.4 m,

   height of break free point 19.6

3. $h_{max}$ above break free point 19.6 m,

   height of break free point 58.8

4. $h_{max}$ above break free point 58.8 m,

   height of break free point 9.8

Q. 83. A helicopter is flying at 100 m and flying at 25m/s at an angle 37^° above the horizontal when a package is dropped from it . Find where does package land.and if helicopter flies at constant velocity where is it when the package lands?

Q. A 2 kg trolley travelling at 6 ms-1 collides with astationary trolley of mass 1 kg. They lock togetherduring the motion. The net change in themomentum of 2 kg trolley isIS(1) 4 kg ms-1(2) -4 kg ms-1(3) 2 kg ms

Q. a projectile projected with speed 60 m/s at 60 from horizontal It will be at same height at insatnt

Q. A body travels half ofits total path in the last second of its free fall from rest.The duration of fall is nearly (a)3.4sec (b)4.5sec (c)5sec (d)5.5sec

Q. An air chamber having a volume V and a cross-sectional area of the neck is $a$ into which a ball of mass $m$ can move up and down without friction. Show that when the ball is pressed down a little and released, it executes $SHM$. Obtain an expression for the time period of oscillations assuming pressure-volume variations of air to be isothermal.

Q. Lime(d) the respeCtive13 A particle is dropped under gravity from rest from a heighh (g 9.8 ms and it travels a distance 9h /25 in the lastsecond, the height h is(a) 100 m(d) 167.5m(c) 145 m(b) 122.5 m

Q.

A stone falls from a balloon that is descending at a uniform rate of 12 m/s. The magnitude of the displacement of the stone from the point of release after 10 sec is

1. 

2. 

3. 

4. 

Q. How range is 4 times the time in projectile?

Q.

A stone dropped from the top of a building of height $h$. It reaches the ground after $t\text{s}$. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity $u$, and they reach the earth surface after $t_1$ and $t_2$ seconds respectively, then

1. $t=t_1-t_2$

2. $t=\frac{t_1+t_2}{2}$

3. $t=\sqrt{t_1{t}_2}$

4. $t=t_1^2{t}_2^2$

Q.

A body A is projected upwards with a velocity of 98 m/s. The second body B is projected upwards with the same initial velocity but after 4 sec. Both the bodies will meet after

1. 6 sec

2. 8 sec

3. 10 sec

4. 12 sec

Q. From the top of a hill 720 m high , a projectile is fired horizontally with a speed of 96m/s. Calculate distance of the target from the hill.(g=10m/s2)

Q.

A ball is in a hot air balloon that starts from rest at t = 0 and accelerates upwards at 2m/s². After 10s, the ball is dropped from the balloon

Draw the a-t graph of the ball from t =0

1. 

2. 

3. 

4. 

Q.

A stone dropped from a building of height h and it reaches after t seconds on earth. From the same building if two stones are thrown (one upwards and other downwards) with the same velocity u and they reach the earth surface after $t_1$ and $t_2$ seconds respectively, then

1. 

2. 

3. 

4. 

Q.

A ball is thrown up from the top of a tower at 20 m/s velocity. It took the ball 6 sec to fall to the bottom. How high is the tower?

1. 20 m

2. 40 m

3. 30 m

4. 60 m

Q. a small ball rolls off the top landing of the staircase.it strikes the mid point of the first step and then the mid point of the second step.the steps are smooth, and identical in height and width.the coefficient of restitution between the ball and the first step is

Q. . A ball is thrown upwards from the ground with an initial speed of u. The ball is at a height of 80m at two times, the time interval being 6s. Magnitude of u: a. 30 m/s b. 50 m/s c. 20 m/s d. 10 m/s