Three forces (4i + 7j)N, (pi +5j)N and (-8i+qj) N act on a particle of mass 5 kg to produce an acceleration of (2i - j) m s 2 . No other forces act on the particle. Find the resultant force acting on the particle in terms of p and q. THEN find p and Q

Three forces : (4i + 7j)N , (pi +5j)N , (-8i+qj) N Mass = 5 kg acceleration = (2i - j) A.Collect like terms (4+p-8)i +(7+5+q)j = (-4+p)i + (12+q)j B. Recal_f=ma therefore: 5(2i-j)=(-4+p)i + (12+q)j 10i-5j = (-4+p)i + (12+q)j Look at equation seperately: for i: 10= p-4 therefore p must equal 14 for j:-5=12+q therefore q must equal -17

Answered by Shane L. Maths tutor

8412 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Do the following vector equations intersect? l = (1 + μ)i + (2 - μ)j + (2μ - 5)k, and m = 2λi + 3j + (2 + λ)k.


Find the gradient of the curve y = sin(2x) + 3 at the point where x = pi


Find the gradient of the tangent to the line y=(x-2)^2 at the point that it intercepts the y-axis


The line AB has equation 3x + 5y = 7 (a. Find the gradient of AB)


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences