ICSE physics

Sponsor Area

Question
ICSEENIPH10006026

A brass ball is hanging from a stiff cotton thread. Draw a neat labelled diagram showing the forces acting on the brass ball and cotton thread.

Solution

A brass ball is hanging thus, weight mg of ball acts downwards and tension acts on the thread in the upward direction.

Sponsor Area

Question
ICSEENIPH10006027

The distance between two bodies is doubled. How is the magnitude of the gravitational force between them affected?

Solution

Force of gravity given by
straight F space equals space fraction numerator Gm subscript 1 straight m subscript 2 over denominator straight r squared end fraction
Let space
straight F subscript 1 space equals space fraction numerator Gm subscript 1 straight m subscript 2 over denominator straight r subscript 1 superscript 2 end fraction
straight F subscript 1 space equals space fraction numerator Gm subscript 1 straight m subscript 2 over denominator straight r subscript 2 superscript 2 end fraction
Given space that space straight r subscript 2 space equals space 2 straight r subscript 1
therefore space straight F subscript 2 over straight F subscript 1 space equals space fraction numerator straight r subscript 1 superscript 2 over denominator straight r subscript 2 superscript 2 end fraction space equals space fraction numerator straight r subscript 1 superscript 2 over denominator 4 straight r subscript 1 superscript 2 end fraction
space equals space 1 fourth
therefore space straight F subscript 2 space equals space 1 fourth straight F subscript 1
Therefore, the force of gravity is reduced four times.

Question
ICSEENIPH10006028

Why is a jack screw provided with a long arm?

Solution

A jack, screw jack or jackscrew is a mechanical device used as a lifting device to lift heavy loads or to apply great force. A jack screw is provided with a long arm in order to have the effort less than the load.
Moment of force (torque, which is responsible for turning effect of the body)
Rotation is given by the moment

Torque = Force x perpendicular length
 Therefore, the long arm of the jack screw, the more force it can apply.

Question
ICSEENIPH10006029

If the power of a motor is 100 kW, at what speed can it raise a load of 50,000 N?

Solution

Given, power of the motor, P = 100 kW =100 × 1000 W = 105 Watt
and force, F = 50000 N.
Now, from the definition of power,
straight P space equals space Fv
straight v space equals space straight P over straight F space equals space 100000 over 50000 space equals space 2 space ms to the power of negative 1 end exponent

Hence, the motor can lift the load with a speed of 2 ms-1.

Question
ICSEENIPH10006030

Which class of lever will always have MA > 1 and why? 

Solution

A second Class lever (class II) will always have MA > 1. This is because the load is between the fulcrum and the effort. So, the effort arm is always greater than the load arm. Hence, MA = E/L > 1.