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Movement and position

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Question 7
a.

A parent is pulling a child in a toy cart.

The mass of the child and the cart is 24 kg24\text{ kg}24 kg. The unbalanced force acting on the cart is 36 N36\text{ N}36 N.

(i) State the equation linking unbalanced force, mass and acceleration.

(ii) Calculate the acceleration of the child and cart.

(iii) Suggest a reason why the parent must pull the cart with a force that is greater than 36 N36\text{ N}36 N.

[4]
b.

The cart is then placed at the top of a smooth ramp.

When it rolls down the ramp, it accelerates at 1.8 m/s21.8\text{ m/s}^21.8 m/s2 from rest for 3.1 s3.1\text{ s}3.1 s.

(i) State the equation linking acceleration, velocity and time.

(ii) Show that the cart reaches a speed of approximately 5.6 m/s5.6\text{ m/s}5.6 m/s after it has accelerated for 3.1 s3.1\text{ s}3.1 s.

[3]
c.

This velocity-time graph shows the motion of another cart:

A velocity-time graph with a vertical axis labeled 'velocity' and a horizontal axis labeled 'time'. The line starts at the origin (0,0) and rises with a constant upward slope to a point labeled P. From point P, the line remains horizontal (representing constant velocity) to a point labeled Q. From point Q, it slopes downwards to a point R on the time axis, representing deceleration. The line from Q to R is steeper than the line from 0 to P.

(i) Name the feature of the velocity-time graph that represents the distance travelled by the cart.

(ii) Describe the motion of the cart during the journey shown by this graph.

[5]

Movement and position Questions

  1. IGCSE
  2. /Physics
  3. /Movement and position