Q- A small ball is suspended from point A by a thread of length L. A nail is driven into the wall at a distance of L/2 below A, at O. The ball is drawn so that the thread takes up a horizontal position.

(a) At what point in the ball’s trajectory will the tension in the thread disappear?

(b)…

## Solution Search

## . : "Motion_2D"

### Motion In A Plane

### Kinematics: Projectile Motion

Q- A rocket is fired at an angle of 60^{0} with horizontal and accelerates in a straight line at 25ms^{-2 }for 2.5s before the rocket motor stops and it eventually falls to the ground. Neglecting air resistance

(a) Make a labelled sketch of the rockets trajectory starting from the launch point. Include …

### Relative Motion

Q- A boat which can travel at 12.5 m/s in still water needs to travel West across a river with a current of 8.4 m/s flowing South.

(a) What heading must the boat take in order to travel West relative to the shore? Draw a diagram.

(b) What will be the boat’s velocity relative to the shore?

### Projectile Motion

Q- A projectile is fired form the edge of a 100 meter tall building with an initial speed of 10 m/s at 30 degrees __above__ the horizon and lands on the ground. Neglecting the air resistance.

(a) Find the horizontal and vertical components of the __initial__ velocity of the projectile.

(b) How long doe…

### Circular Motion

Q- A cat rides a merry-to-round turning in circular motion with uniform speed. At time t_{1} = 2.00 s, the cat’s velocity (in m/s) is V_{1}=3.0 i + 4.0 j, measured on a horizontal x-y coordinate system. At t_{2} = 5.00 s its velocity is V_{2}= (-3.0) i + (-4.0) j. What are the

(a) magnitude of the cat’s ce…

### Motion in 2D: Relative Velocity

Q_{1}- Two particles 1 and 2 move with constant velocities **v _{1}** and

**v**. At the initial moment, their radius vectors are

_{2}**r**and

_{1}**r**. How must these four vectors be interrelated for the particles to collide?

_{2}Q_{2}- A ship moving along the equator to the east with velocity v_{0} = 30 km/hr. The south-eastern wi…

### Projectile Motion

(On request - Tamanna)

Q- A ball is thrown vertically upward from a window at 10 m/s at an angle of 45° to the horizontal. It hits the ground 5.0 s later.

a) What is the vertical height of the window from the ground?

b) How far from the base of the building does the ball strike the ground?

### Motion in 2 D: Relative velocity

Q- A boat is trying to get from point A to point B, which is exactly to the east of A. The ocean current is due north at 4.8 km/h. The boat speed relative to the water is 18 km/h.

a) If the captain heads his boat due east, what will be his actual course relative to the shore?

b) To attain a stra…

### Circular Motion

Q- The drive train of a bicycle has wheels 67.3 cm in diameter and pedal cranks 17.5 cm long. The cyclist pedals at a steady cadence of 76.0 rev/min. The chain engages with a front sprocket 15.2 cm in diameter and a rear sprocket 7.00 cm in diameter.

(a) Calculate the speed of a link of the chain r…

### Projectile Motion

Q- An airplane with a speed of 75 m/s is climbing upward at an angle of 30.0 ° with respect to the horizontal. When the plane's altitude is 600 m, the pilot releases a package.

(a) Calculate the distance along the ground, measured from a point directly beneath the point of release, to where the …

### Projectile Motion

Q- In the javelin throw at a track-and-field event, the javelin is launched at a speed of 40.0 m/s at an angle of 37° above the horizontal. As the javelin travels upward, its velocity points above the horizontal at an angle that decreases as time passes. How much time is required for the angle to be…

### Motion in 2D - Aircraft in wind

Q- The airport B is due north of airport A. On a particular day the velocity of wind is (80i+25j) km/h. Relative to the air an aircraft flies with constant speed 208 km/h. When the aircraft flies directly from A to B

(a) Show its speed relative to the ground is 217km/h

(b)After flying from A to B th…

### Projectile Motion

Q- A baseball is hit into the air at an initial speed of 30 m/s and an angle of 60° above the horizontal. At the same time, the center fielder starts running towards the batter and catches the ball 1 m above the level at which it was hit. If the center fielder is initially 1.25 x 10^{2} m from home pl…

### Motion in 2D - Collision

Q- Particles of masses m_{1 }= 3kg and m_{2 }= 5kg move on a collision course with velocities: u_{1 }= (7 i + 3 j) m/s and u_{2 }= (3 i + 7 j) m/s, respectively. After they collide, their velocities are v_{1} = (a i + b j) m/s and v_{2} = (c i + 4 j) m/s, respectively. If the collision is perfectly elastic, determine…

## Comments

Iriam