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A trolley of negilible mass on horizontal tracks is at rest. A person of mass 50kg is standing on the trolley with a bag of mass 10kg. The person throws the bag off the trolley horizontally with a velocity of 3m/s. Calculate the velocity of the man.

Establish what information you have been given in the question (mass of person=50kg, mass of bag=10kg, velocity of bag=3m/s, start velocity of both=0m/s). Use the equation momentum=mv and the principle of...

EC
Answered by Ella C. Maths tutor
2864 Views

Calculate the area of a circle with a diameter of 20mm

Firstly draw the circle and label the diameter. Then calculate the radius by dividing the diameter by 2 (radius is 10mm). Using the formula A=pi*r^2 to find the area. This gives the answer as 100pi mm^2 o...

EC
Answered by Ella C. Maths tutor
14167 Views

Find the minimum value of the quadratic 3x^2-8x+1.

This is a question about completing the square. The first step involves taking the factor of 3 our of the expression to reach the correct form for completing the square to reach 3(x^2-(8/3)x)+1. Then, con...

JM
Answered by Jamie M. Maths tutor
2873 Views

There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60. The mean mark for the girls is 54. Work out the mean mark or the boys.

Total mark for whole class is 3060= 1800Total mark for girls is 2054= 1080
Therefore subtract smaller from larger to get total mark for boys, and divide that number by 10 to yield 72.

RM
Answered by Raphael M. Maths tutor
2858 Views

The equation of line 1 is y=3x-2 and the equation of line 2 is 3y-9x+5=0. Show the two lines are parallel.

The two lines are parallel if they have the same gradient, so for a line in the form y=mx+c, m of the two lines must be the same.Line 1 is already in this form so we need to rearrange line 2 to be in this...

ES
Answered by Emma S. Maths tutor
2814 Views

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