Alevel和IG期中考试试卷

Physics Test for Chapter 1 & 2

Free Response(18+25+15+24+18)

1. A ball is thrown from a point P, which is at ground level, as illustrated in Fig. 1.1.

Fig. 1.1

The initial velocity of the ball is 12.4 m/s at an angle of 36° to the horizontal. The ball just passes over a wall of height h. The ball reaches the wall 0.17 s after it has been thrown.

(a) Assuming air resistance to be negligible, calculate

(i) the horizontal distance of point P from the wall,

(ii) the height h of the wall.

(b) A second ball is thrown from point P with the same velocity as the ball in (a). For this ball, air resistance is not negligible.

This ball hits the wall and rebounds.

On Fig. 1.1, sketch the path of this ball between point P and the point where it first hits the ground.

2. A ball is thrown against a vertical wall. The path of the ball is shown in Fig. 2.1.

Fig. 2.1

The ball is thrown from S with an initial velocity of 15.0 m/s at 60.0° to the horizontal. Assume that air resistance is negligible.

(a) For the ball at S, calculate

(i) its horizontal component of velocity,

(ii) its vertical component of velocity.

(b) The horizontal distance from S to the wall is 9.95 m. The ball hits the wall at P with a velocity that is at right angles to the wall. The ball rebounds to a point F that is 6.15 m from the wall.

Using your answers in (a),

(i) calculate the vertical height gained by the ball when it travels from S to P,

(ii)show that the time taken for the ball to travel from S to P is 1.33 s,

(iii) show that the velocity of the ball immediately after rebounding from the wall is about 4.6 m/s.

3. (a) (i) State the SI base units of density.

(ii) Show that the SI base units of pressure are kg m-1 s-2.

(b) The volume V of liquid that flows through a pipe in time t is given by the equation

where P is the pressure difference between the ends of the pipe of radius r and length l.

The constant C depends on the frictional effects of the liquid.

Determine the base units of C.

4. A hot-air balloon rises vertically. At time t=0, a ball is released from the balloon. The graph shows the variation of the ball’s velocity v with t.

The ball hits the ground at t=4.1 s.

a. Explain how the graph shows that the acceleration of the ball is constant.

b. Use the graph to:

(i)determine the time at which the ball reaches its highest point;

(iii)show that the ball rises for a further 12 m between release and its highest point;

(iii)determine the distance between the highest point reached by the ball and the ground.

c. The equation relating v and t is v=15-9.81t. Explain the significance in the equation of:

(i)the number 15;

(ii)the negative sign.

5. A rocket rises vertically, from rest, with an acceleration of 3.2 m/s2 until it runs out of fuel at an altitude of 1200 m. After this point, its acceleration is that of gravity, downward.

(a) What is the velocity of the rocket when it runs out of fuel?

(b) How long does it take to reach this point?

(c) What maximum altitude does the rocket reach?

(d) How much time (total) does it take to reach maximum altitude?

(e) With what velocity does the rocket strike the Earth?

(f) How long (total) is it in the air?

END OF EXAM

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