Newton’s Second Law corrected the old belief that force is needed to maintain motion. This idea came from the philosopher ______.
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.
Numerical
Advertisements
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
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Explain why a cricketer moves his hands backwards while holding a catch.
A monkey of mass 40 kg climbs on a rope in given Figure which can stand a maximum tension of 600 N. In which of the following cases will the rope break: the monkey
(a) climbs up with an acceleration of 6 m s–2
(b) climbs down with an acceleration of 4 m s–2
(c) climbs up with a uniform speed of 5 m s–1
(d) falls down the rope nearly freely under gravity?
(Ignore the mass of the rope).
A man has fallen into a ditch of width d and two of his friends are slowly pulling him out using a light rope and two fixed pulleys as shown in the following figure. Show that the force (assumed equal for both the friends) exerted by each friend on the road increases as the man moves up. Find the force when the man is at a depth h.
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.
A monkey is climbing on a rope that goes over a smooth light pulley and supports a block of equal mass at the other end in the following figure. Show that whatever force the monkey exerts on the rope, the monkey and the block move in the same direction with equal acceleration. If initially both were at rest, their separation will not change as time passes.
The monkey B, shown in the following figure, is holding on to the tail of monkey A that is climbing up a rope. The masses of monkeys A and B are 5 kg and 2 kg, respectively. If A can tolerate a tension of 30 N in its tail, what force should it apply on the rope in order to carry monkey B with it? Take g = 10 m/s2.
The linear momentum of a ball of mass 50 g is 0.5 kg m s-1. Find its velocity.
Which of the following has the largest inertia?
The position time graph of a body of mass 2 kg is as given in figure. What is the impulse on the body at t = 0 s and t = 4 s.
