15 questions
The speed of an aircraft in still air is 200 km h–1.
The wind blows from the west at a speed of 85.0 km h–1.
In which direction must the pilot steer the aircraft in order to fly due north?
23.0° east of north
23.0° west of north
25.2° east of north
25.2° west of north
Two balls of masses m and 2m with initial velocities 2v and v collides as shown. After the collision, the mass m travels to the right a velocity of v. How much kinetic energy is lost?
0.10 mv2
0.25 mv2
0.33 mv2
0.50 mv2
The graph shows the extension of a sample of a type of rubber as different loads F are applied and then gradually removed.
What is the best estimate of the strain energy in the rubber when a load of 80 N is applied?
0.40 J
0.64 J
0.88 J
1.3 J
A straight tube is closed at one end and has a loudspeaker positioned at the open end. The frequency of the loudspeaker is initially very low and is increased slowly. A series of loudness maxima are heard.
The stationary wave which gives the first maximum has a node at the closed end and an antinode at the open end. The frequency of the loudspeaker is f1 when the first maximum is heard.
What is the frequency of the loudspeaker when the fourth maximum is heard?
1.75 f1
2 f1
4 f1
7 f1
The electric current in a wire may be calculated using the equation I = Anvq.
Which statement is not correct?
n is the number of charge carriers per unit volume of the wire.
nA is the number of charge carriers per unit length of the wire.
q is the charge of each charge carrier.
v is the velocity of each charge carrier.
A cell of internal resistance r and electromotive force (e.m.f.) E is connected in series with a resistor of resistance R.
The resistance R and the e.m.f. E remain fixed. The internal resistance r of the cell changes over time.
Which graph best shows the variation of the current I in the circuit with the internal resistance r?
A skydiver falls from an aircraft that is moving horizontally. The vertical component of the velocity of the skydiver is v. The vertical component of the acceleration of the skydiver is a. Which row describes v and a during the first few seconds after the skydiver leaves the aircraft?
v constant, a constant
v constant, a decreasing
v increasing, a constant
v increasing, a decreasing
Water waves of wavelength λ are incident normally on an obstacle with a narrow gap. The width of the gap is equal to λ. The waves from the gap emerge over an angle θ as shown.
The gap is slowly widened. Which changes, if any, occur to θ and to the wavelength of the emerging waves?
θ decreases, λ remains the same
θ increases, λ remains the same
θ remains the same, λ decreases
θ remains the same, λ increases
Which graph could show how the resistance R of a filament lamp varies with the applied potential difference (p.d.) V, as V is increased to the normal operating p.d.?
In the circuit shown, all the resistors are identical and all the ammeters have negligible resistance.
The reading A1 is 0.6 A. What are the readings on the other ammeters?
A2 = 1.0 A; A3 = 0.3 A; A4 = 0.1 A
A2 = 1.4 A; A3 = 0.6 A; A4 = 0.2 A
A2 = 1.8 A; A3 = 0.9 A; A4 = 0.3 A
A2 = 2.2 A; A3 = 1.2 A; A4 = 0.4 A
A snooker ball has a mass of 200 g. It hits the cushion of a snooker table and rebounds along its original path.
The ball arrives at the cushion with a speed of 14.0 m s–1 and then leaves it with a speed of 7.0 m s–1. The ball and the cushion are in contact for a time of 0.60 s.
What is the average force exerted on the ball by the cushion?
1.4 N
2.3 N
4.2 N
7.0 N
A positively charged oil droplet falls in air in a uniform electric field that is vertically upwards. The droplet has a constant terminal speed v0 and the electric field strength is E. The magnitude of the force due to air resistance acting on the droplet is proportional to the speed of the droplet.
Which graph shows the variation with E of v0?
A rubber cord hangs from a rigid support. A weight attached to its lower end is gradually increased from zero, and then gradually reduced to zero.
The force–extension curve for contraction is below the force–extension curve for stretching.
What does the shaded area between the curves represent?
the elastic potential energy stored in the rubber cord
the thermal energy dissipated in the rubber cord
the work done on the rubber cord during stretching
the work done by the rubber cord during contraction
Two cells with electromotive forces E1 and E2 and internal resistances r1 and r2 are connected to a resistor R as shown.
The terminal potential difference across cell 1 is zero.
Which expression gives the resistance of resistor R?
An unstable nucleus of an element decays by emitting an α-particle or a β– particle to become a nucleus of a different element. This nucleus is also unstable and also emits an α-particle or a β– particle. The process continues until an isotope of the original element is produced.
What is the minimum possible number of these particles emitted?
2
3
4
5