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An 1kg ball collides normally with a fixed vertical wall. Its incoming speed is 8 m/s and its speed after the collision is 4 m/s . Calculate the change in momentum of the particle. If the collision lasts 0.5 s calculate the impact force.

Consider two scenarios before and after. Before there is a velocity of 8m/s (with right being positive) and mass 1kg. after there is a mass of 1kg and a velocity of -4 m/s as right is positive and it bounces...
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Answered by Adam D. • Maths tutor
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A curve has equation y = x^3 - 6x^2 - 15x. The curve has a stationary point M where x = -1. Find the x-coordinate of the other stationary point on the curve.

A stationary point can be found when dy/dx = 0 . The first thing we need to do is differentiate y to find dy/dx, and solve it for dy/dx = 0. This gives usdy/dx = 3x 2 - 12x - 15 = 0 = (3x + 3)(x - 5) = 0 (us...
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Answered by Ellie G. • Maths tutor
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The line l1 has equation 2x + 3y = 26 The line l2 passes through the origin O and is perpendicular to l1 (a) Find an equation for the line l2

First we make y the subject of the l1 equation. This is so we can have it in the form y=mx +c where m is the gradient and c is your y-intercept. For this example we would take away 2x from both sides leaving...
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Answered by Yusuf B. • Maths tutor
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find the root or roots of the following equation: 2x^2 + 18x + 36

finding the roots, means to find the coordinates at which the curve intersects the X axis. At first look you may notice that each function in the equation is divisible by 2, you can do this to make solving t...
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Answered by Jason H. • Maths tutor
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How do you find the length of a side of a right-angled triangle given the angle and the hypotenuse?

First label the triangle to show the opposite, adjacent and hypotenuse. Then you can use SOHCAHTOA to determine which trig function is needed. If you need to work out the opposite you use the sin function an...
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Answered by Lucy S. • Maths tutor
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