A particle of mass 15kg is acted on by 2 forces, P and Q, and no other forces, causing it to accelerate in a straight line. The diagram below shows the angles that P and Q make with the path of the particle, which is shown as a dashed line. The magnitude Q is 21N. Let the direction of the cartesian unit vectors i and į be as shown, with i parallel to the path of the particle. Give numerical answers to 2 significant figures. 34 544° a) Find expressions for the component forms of P and Q, denoting the magnitude of P by P. b) Write down the vector equation obtained by applying Newton's second law of motion to the particle. Hence, or otherwise, find the acceleration of the particle. c) The particle starts from rest. Find its speed after it has moved 2metres.

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A particle of mass 15kg is acted on by 2 forces, P and Q, and no other forces, causing it to accelerate
in a straight line. The diagram below shows the angles that P and Q make with the path of the
particle, which is shown as a dashed line.
The magnitude Q is 21N.
Let the direction of the cartesian unit vectors i and į be as shown, with i parallel to the path of the
particle. Give numerical answers to 2 significant figures.
34
44°
a) Find expressions for the component forms of P and Q, denoting the magnitude of P by P.
b) Write down the vector equation obtained by applying Newton's second law of motion to the
particle. Hence, or otherwise, find the acceleration of the particle.
c) The particle starts from rest. Find its speed after it has moved 2metres.
Transcribed Image Text:A particle of mass 15kg is acted on by 2 forces, P and Q, and no other forces, causing it to accelerate in a straight line. The diagram below shows the angles that P and Q make with the path of the particle, which is shown as a dashed line. The magnitude Q is 21N. Let the direction of the cartesian unit vectors i and į be as shown, with i parallel to the path of the particle. Give numerical answers to 2 significant figures. 34 44° a) Find expressions for the component forms of P and Q, denoting the magnitude of P by P. b) Write down the vector equation obtained by applying Newton's second law of motion to the particle. Hence, or otherwise, find the acceleration of the particle. c) The particle starts from rest. Find its speed after it has moved 2metres.
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