Physics Chapter: Forces and Collisions

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Questions and Answers

If the particle remains at rest, determine the values of P and S.

P ≈ 103.9 N, S ≈ 69.3 N

Determine the acceleration of the particle.

a = ( -0.6i + 3.4j - 0.8k ) m/s²

Find the velocity of the particle after 3 seconds.

v =( 0i + 3j - 2.4k) m/s

Find the velocity of the combined body immediately after the collision.

v = (1.4i + 4j) m/s Signup and view all the answers

Determine the loss in kinetic energy as a result of the collision.

ΔKE = -21.5 J Signup and view all the answers

Account for the lost energy in (b) above.

The lost energy is converted into other forms of energy, such as heat, sound, and deformation of the bodies during the collision. Signup and view all the answers

If the particle remains at rest, determine the values of P and S.

P = 120 N, S = 120 N Signup and view all the answers

A particle of mass 5 kg, moving with a velocity, u = (2i - 7j) m s⁻¹ is acted upon by two forces, f₁ = (2i + 3j - 2k) N and f₂ = (-5i + 8j - 2k) N. Determine the acceleration of the particle.

( -0.6i + 1.4j - 0.4k )m/s² Signup and view all the answers

Find the velocity of the particle after 3 s.

( 0.2i - 3.5j - 1.2k )m/s Signup and view all the answers

A body A, of mass 2 kg, is moving with velocity (-2i + 4j) m s⁻¹ when it collides with a body B, of mass 3 kg, moving with a velocity (3i + 4j) m s⁻¹. During the collision the two bodies coalesce. Find the velocity of the combined body immediately after the collision.

( 1i + 4j )m/s Signup and view all the answers

Determine the loss in k.e. as a result of the collision.

18.5 J Signup and view all the answers

Account for the lost energy in (b) above.

Signup and view all the answers

If the particle remains at rest, determine the values of P and S.

P = 115.91 N, S = 84.85 N Signup and view all the answers

Determine the acceleration of the particle.

( -0.6i + 2.2j - 0.4k ) m/s² Signup and view all the answers

Find the velocity of the particle after 3 s.

(0.6i + 9.6j - 1.2k) m/s Signup and view all the answers

Find the velocity of the combined body immediately after the collision.

(1.4i + 4j) m/s Signup and view all the answers

Determine the loss in k.e. as a result of the collision.

49.33 J Signup and view all the answers

Account for the lost energy in (b) above.

The lost energy is due to the non-elastic nature of the collision. The collision is inelastic since the two objects coalesce. Signup and view all the answers

Study Notes

Instructions

Attempt both questions
Show all working

Question 1 (a)

A particle is acted upon by three forces (diagram included)
Determine the values of P and S if the particle remains at rest

Question 1 (b)

A particle with mass 5 kg and initial velocity (2i – 7j) m s⁻¹ is acted upon by two forces (given)
- Find the acceleration of the particle
- Find the velocity of the particle after 3 seconds

Question 2 (a)

Two bodies (A and B), with masses 2 kg and 3 kg respectively, collide
Body A has initial velocity (-2i + 4j) m s⁻¹
Body B has initial velocity (3i + 4j) m s⁻¹
Determine the velocity of the combined body immediately after collision

Question 2 (b)

Determine the loss in kinetic energy (k.e.) during the collision

Question 2 (c)

Account for the lost energy in (b)

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Description

This quiz covers key concepts in physics related to forces acting on particles and the dynamics of collisions. You will determine force values for a particle at rest and analyze the motion of colliding bodies. Solve for acceleration, velocity, and energy loss during collisions to reinforce your understanding of these fundamental principles.