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A mass of 2kg is dropped from rest at a height of 10m. i) What is the initial GPE of the mass? ii) What is the final velocity of the mass when it hits the ground?

Part iGravitational Potential Energy (GPE) = mass x gravitational acceleration constant x heightGPE = 2 x 9.81 x 10 = 196.2JPart iiConservation of energy states that the sum of the GPE and K...

Answered by Zaakir S. • Physics tutor

3790 Views

n is an integer greater than 1. Prove algebraically that n^2-2-(n-2)^2 is always an even number

We want to show that this gives an even number, so we need to get it into a form that it is 2 multiplied by some positive integer. We start by expanding the (n-2)²out, remember that (n-2)^...

Answered by Jacob C. • Maths tutor

24480 Views

Assess the arguments in favour of an elected House of Lords

The main arguments in favour of an elected House of Lords are that this would enhance democratic legitimcy in the House of Lords , widen the basis for represention and this could increase checks on govern...

Answered by Ella D. • Government and Politics tutor

7422 Views

Find the length of the hypotenuse of a right-angled triangle using i) Pythagoras Theorem ii) Trigonometry. The triangle has sides of lengths 3cm and 4cm and an acute angle of 30 degrees.

Part iPythagoras Theorem states a² = b² + c² , where a is the hypotenuse.Using this the lengths can be substituted into the equation as b and c, a² = 3

Answered by Zaakir S. • Maths tutor

1847 Views

How to form the imperfect subjunctive

For me, the easiest way of forming the imperfect subjunctive in Spanish is to firstly start with the 3rd person plural form of the preterite. Once you have this, drop the -ron ending of the verb. This bas...

Answered by Emma D. • Spanish tutor

1612 Views