Answer the following
1.
2.
3.
4.
4.
The gravitational force (F) between two masses is inversely proportional to the square of the distance (d) between them. If F = 4 when d = 5, calculate:
a F when d = 8
b d when F = 25
5.
The power (P) generated in an electrical circuit is proportional to the square of the current (I amps). When the power is 108 watts, the current is 6amps.
a Write down a relationship between P, I and the constant of proportionality, k.
b Calculate the value of I when P = 75watts.
6.
The velocity (v metres per second) of a body is known to be proportional
to the square root of its kinetic energy (e joules). When the velocity of a
body is 120 m/s, its kinetic energy is 1600J.
a Write down a relationship between v and e, using k as the constant of
proportionality.
b Calculate the value of k.
c If v = 21, calculate the kinetic energy of the body in joules.
7.
The length (lcm) of an edge of a cube is proportional to the cube root of
its mass (m grams). It is known that if l = 15, then m = 125. Let k be the
constant of proportionality.
a Write down the relationship between l, m and k.
b Calculate the value of k.
c Calculate the value of l when m = 8.
🖋Online Maths Tutor, Dubai
to the square root of its kinetic energy (e joules). When the velocity of a
body is 120 m/s, its kinetic energy is 1600J.
a Write down a relationship between v and e, using k as the constant of
proportionality.
b Calculate the value of k.
c If v = 21, calculate the kinetic energy of the body in joules.
7.
The length (lcm) of an edge of a cube is proportional to the cube root of
its mass (m grams). It is known that if l = 15, then m = 125. Let k be the
constant of proportionality.
a Write down the relationship between l, m and k.
b Calculate the value of k.
c Calculate the value of l when m = 8.
🖋Online Maths Tutor, Dubai
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