Numerical Problems | Chapter 3 | Translatory Motion | Physics 11th | National Book Foundation

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3.1 1) A train slows down from 𝟖𝟎𝒌𝒎/𝒉 with a uniform retardation of 𝟐𝒎/𝒔^𝟐. How long will it take to attain a speed of 𝟐𝟎𝒌𝒎/𝒉.
3.1 2) A car travels with a velocity of 𝟓𝒎/𝒔. It then accelerates uniformly and travels a distance of 𝟓𝟎𝒎. If the velocity reached is 𝟏𝟓𝒎/𝒔, find the acceleration and the time to travel this distance.
3.2 1kg ball is dropped from top of the leaning tower of Pisa. The ball reaches the ground in 3.34s. Find the (a) height of the tower (b) velocity of the ball when it strikes the ground.
3.3 A ball is thrown with a speed of 𝟑𝟎𝒎/𝒔 in a direction of 𝟑𝟎° with the horizontal. Determine the: (a) height to which it rises, (b) the time of flight and (c) the horizontal range.
3.4 A bullet of mass 20g is fired from a gun with a muzzle velocity of 𝟏𝟎𝟎𝒎/𝒔. Find the recoil of the gun if its mass is 5kg.
An aeroplane while flying horizontally drops a bomb when reaches exactly above the target, but missed it. Explain why?
What is the difference between explosion and collision? Give one example of each.
Why do a slow-moving loaded truck and a speeding rifle bullet each have a large momentum?
What is the difference between elastic and inelastic collision?
An object that has a small mass and an object that has a large mass have the same momentum. Which object has the largest kinetic energy?
Can object in a system have momentum while the momentum of the system is zero? Explain your answer.
For any specific velocity of projection, prove that the maximum range is equal to four times of the corresponding height.
Is momentum conserved when a bat hits a ball?
On dry concrete, a car can decelerate at a rate of 7.00m/s^2, whereas on wet concrete it can decelerate at only 5.00m/s^2. Compare the distances necessary to stop the car moving at 30.0m/s (about 110km/h) (a) on dry concrete and (b) on wet concrete.
Find the angle of projection of a projectile for which the maximum height and corresponding range are equal?
A jet plane comes in for a landing with a speed of 100m/s, and its acceleration can have a maximum magnitude of 5.00m/s^2 as it comes to rest.
(a) From the instant the plane touches the runway, what is the minimum time interval needed before it can come to rest?
(b) Can this plane land on a small tropical island airport where the runway is 0.8km long? Explain your answer.
A projectile is launched with an initial speed of 21.8m/s at an angle of 35° above the horizontal.
(a) Determine the time of flight of the projectile.
(b) Determine the peak height of the projectile.
(c) Determine the horizontal displacement of the projectile.
A projectile is launched horizontally from the top of a 45.2m high cliff and lands a distance of 17.6m from the base of the cliff. Determine the magnitude of the launch velocity.
Two equal-mass carts roll towards each other on a level, low-friction track. One cart rolls rightward at 2m/s and the other cart leftward at 1m/s. After the carts collide, they couple and roll together. Ignoring resistive forces, find their combined speed.
A 0.5kg ball travelling at a speed of 4m/s to the right collides elastically with another ball of 3.5kg which is initially at rest. Find velocities of both the balls after collision?
A 17.5g bullet is fired at a muzzle velocity of 582m/s from a gun with a mass of 8.0kg and a barrel length of 75.0cm.
(a) How long is the bullet travelled in the barrel?
(b) What is the force on the bullet while it is in the barrel?
(c) Find the impulse exerted on the bullet while it is in the barrel.
(d) Find the bullet’s momentum as it leaves the barrel.
3.1 A bus is travelling at 10m/s accelerates uniformly at 2m/s. Calculate the velocity of the bus after 5s.
3.2 A car is traveling initially with 𝟒𝒎/𝒔 then it accelerates at 𝟏〖𝒎𝒔〗^(−𝟐) for 𝟏𝟎𝒔. Find the distance travelled by the car during this time.
3.3 A kangaroo can jump over an object 𝟐.𝟓𝟎𝒎 high. (a) Considering just its vertical motion, calculate its vertical speed when it leaves the ground. (b) How long a time is it in the air?
3.4 If a projectile is launched horizontally with a speed of 𝟏𝟐.𝟎𝒎/𝒔 from the top of a 𝟐𝟒.𝟔𝒎 high building. Determine the horizontal displacement of the projectile.
3.5 A projectile is launched with an initial speed of 𝟐𝟎𝟎.𝟎𝒎/𝒔 at an angle of 𝟑𝟎° above the horizontal. (a) Determine the time of flight of the projectile. (b) Determine the peak height of the projectile. (c) Determine the horizontal displacement of the projectile.
3.6 A 46g tennis ball is launched from a 1.35kg homemade cannon. If the cannon recoils with a speed of 2.1m/s, determine the muzzle speed of the tennis ball.
3.7 An object of mass 5kg moving with a speed of 10m/s collides with another object of mass 10kg moving in the same direction with speed 5m/s. Assume that the collision is a one-dimensional elastic collision. What will be the speed of both objects after the collision?