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Worksheet On The Origin Of A Toy Car

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1. A toy car starts travelling to the right in Figure 2 from the origin from rest. Figure 1 shows its driving force against the distance away from the origin in the first part of its journey. The surface to the right of the origin is frictionless. Assume no air resistance for this question.
The mass of the toy car is 200g, the cart is 150g.

a) When it is 5 meters away from the origin, it will collide with a stationary cart and sticks to it. Find the velocity of the toy car and cart after the collision.

b) Show whether the collision is elastic or not with numerical calculations.

c) When the toy car and cart is 10 meters away from the origin, it goes up a slope of 30 degrees, after another 4 meters up the slope, it hits a spring. Given that the spring constant is 40Nm-1, find how far the spring will be compressed by.

d) …show more content…

Once it’s past the origin, there is a 9-meter rough surface with a constant friction force and an edge after that. Find the minimum friction force of the rough surface so that the toy car and the cart will stop before it goes over the edge.

2. A soccer ball is kicked off the ramp at 12ms-1, 5 seconds later, a basketball is dropped vertically downwards at 15ms-1. Assume no air resistance for this question.

a) Find how long it takes for the basketball to pass the soccer ball in vertical height after the soccer ball was kicked off the ramp.

b) How far from the floor were the two balls at that instant?

c) Will the soccer ball go into the goals on the full (without bouncing)? Show using

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