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A block of mass 5 kg is being pushed over level ground by rod at 60 degrees to horizontal with force 40 N with acc. 1.5 what is the frictional force of the surface and draw a diagram with the forces acting on the block

Block has normal force, weight, friction and the force from the rod acting on itResultant force = 5*1.5=7.5horizontal component of force from rod = 207.5= 20 - FF= 12.5

Answered by Henry B. • Maths tutor

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Why do we need the constant of integration?

Consider three simple functions F(x)=2x, G(x)=2x-6, H(x)=2x + π/2. We can differentiate these functions with respect to x to get F’(x)=f(x)=2, G’(x)=g(x)=2, H’(x)=h(x)=2. Clearly the derivatives of these ...

Answered by Panoraia C. • Maths tutor

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What is the determinant of a 2 by 2 matrix?

Let A by any 2 by 2 matrix and the top left, top right, bottom left and bottom right entries be a, b, c and d respectively. The determinant for matrix A would be ad-bc.

Answered by Lin G. • Maths tutor

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Solve the simultaneous equations: x^2 + y^2 = 10 and x + 2y = 5

1.)x² + y² = 10 2.)x + 2y = 5. Rearrange 2nd equation: x = 5 - 2y. Substitute back into 1st equation: (5 - 2y)²+ y² = 10. Multiply out brackets: 4y²

Answered by Edward W. • Maths tutor

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Why does 1/x integrate to lnx?

If we let y = lnx, we then know that x = e^y. By differentiating both sides of this equation with respect to y we get:dx/dy = e^y, as the exponential function differentiates to itself ...

Answered by Chris L. • Maths tutor

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