Find force required in accelerating a 3 kg mass at 5 m/s2 and a 4 kg mass at 4 m/s2

Find the force needed to produce an acceleration of 6 m/s2 in a ball of mass 4kg.

Find the force required to move a train of mass 5000 quintals up an incline of 1 in 50 with an acceleration 2ms^-2 . Take force of friciton = .2N/s qunital and g = 10ms^-2 .

A car is travelling at a speed of 90 km/h. Brakes are applied so as to produce a uniform acceleration of – 0.5 m/s2. Find how far the car will go before it is brought to rest?

Certain force acting on a 20 kg mass changes its velocity from 5 m s^-1 to 2m s^-1 . Calculate the work done by the force.

Two masses 8 kg and 12 kg are connected at the two ends of a light inextensible string that goes over a frictionless pulley. Find the acceleration of the masses, and the tension in the string when the masses are released.

The earth’s radius is R and acceleration due to gravity as its surface is g. If a body of mass m is sent to a height of R/5 from the earth’s surface the PE increase (h = R/5) by:

An object moves along a straight line with an acceleration of 2 m/s2. If its initial speed is 10 m/s, what will be its speed 2 s later?

An object moves along a straight line with an acceleration of 2 m/s2. If its initial speed is 10 m/s, what will be its speed 2 s later?

A force of 1000 Newton is applied on a 25 kg mass for 5 seconds. What would be its velocity?

A monkey of mass 40 kg climbs on a rope (Fig. 5.20) 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).