Advertisements
Advertisements
Question
A motorcycle of mass 100 kg is running at 10 ms−1. If its engine develops an extra linear momentum of 2000 Ns, calculate the new velocity of a motorcycle.
Solution
Mass of motor cycle = m = 100 kg
Velocity of motor cycle = v1= 10 ms−1
Momentum of motor cycle = mv1 = 100 × 10 = 1000 Ns
When engine develops an extra linear momentum of 2000 Ns
Then total momentum of motor cycle = 1000 + 2000 = 3000 Ns
Let v2 = new velocity of the motorcycle.
Total momentum of motor cycle = mv2
3000 = 100 × v2
v2 = `3000/100` = 30 ms−1
APPEARS IN
RELATED QUESTIONS
A batsman deflects a ball by an angle of 45° without changing its initial speed which is equal to 54 km/h. What is the impulse imparted to the ball? (Mass of the ball is 0.15 kg.)
An object is placed far away from all the objects that can exert force on it. A frame of reference is constructed by taking the origin and axes fixed in this object. Will the frame be necessarily inertial?
Suppose the ceiling in the previous problem is that of an elevator which is going up with an acceleration of 2.0 m/s2. Find the elongation.
A constant force F = m2g/2 is applied on the block of mass m1 as shown in the following figure. The string and the pulley are light and the surface of the table is smooth. Find the acceleration of m1.
In the previous problem, suppose m2 = 2.0 kg and m3 = 3.0 kg. What should be the mass m, so that it remains at rest?
An aeroplane is moving uniformly at a constant height under the action of two forces (i) Upward force (lift) and (ii) Downward force (weight). What is the net force on the aeroplane?
Write the mathematical form of Newton's second law of motion. State the conditions if any.
The unit of linear momentum is :
What do you mean by the conservation of momentum? Briefly, explain the collision between two bodies and the conservation of momentum.
A cricket ball of mass 150 g has an initial velocity `u = (3hati + 4hatj)` m s−1 and a final velocity `v = - (3hati + 4hatj)` m s−1 after being hit. The change in momentum (final momentum-initial momentum) is (in kg m s1)
