Q1 If v is the algebraic measure of the velocity vector of a particle and π is the algebraic measure of its position vector where π = π π − π, then the algebraic measure of the acceleration of the particle as a function of the position π is given by the relation……………………. a) π = π π − π b) π = π π − π c) π = π π − π d) π = π Q2 A car of mass π tons is moving along a horizontal road at full speed. If the resistances for its movement are equal to πππ ππ. ππ. for every ton of car mass, the engine force of the car equal to ………………… ππ. ππ. a) ππ b) πππ c) ππππ d) πππππ Q3 A man of mass 65 kg. ascends up from the second floor to the seventh floor by an electric lift. If the height of the floor is 3 meters, then the gained potential energy = …………. joule. a) ππππ b) πππ c) 97.5 d) ππ. ππ Q4 In the opposite figure : It represents the (displacement - time) graph of two particles moving in a straight line, which of the following statement is not correct? a) particle (2) the algebraic measure of its velocity is negative. b) particle (1) the algebraic measure of its velocity is positive. c) particle (2) moves with retarded motion. d) particle (1) moves with accelerated motion. Q5 A body of variable mass π = ππ + π gm. moves in a straight line, t is the time in seconds, and its velocity v is given by the relation π = ππ cm./sec. under the action of force π (dyne) , then the magnitude of the force π at π = π sec. equals ............ dyne. a) 13ππ b) 15 c) 15ππ d)13 Q6 A body of mass m is placed on a rough horizontal plane and the coeο¬cient of kinetic friction between the body and the plane is 0.2, a horizontal force acting on it for 10 seconds and moved it in its direction, then the force was ceased, if the body stopped after a distance 50 m on the plane after ceasing the force, then the ratio between the magnitude of the friction force generated during motion and the magnitude of the force acting on the body =........... a) 7:12 b) 5:7 c) 5:12 d) 12:35 Q7 In the opposite figure: π acts on a baby stroller of mass 2 kg. moving in a straight line parallel to π −axis. Calculate the work done by this force when π changes from π = ππ to π = ππ Q8 A car moves in a straight line such that the algebraic measure of its velocity π (m./sec.) is given as a function in time t (sec.) as π = ππ − π, if the average speed during the time interval π, π equals 5 m./sec , then π = β― seconds. a) 1 b) 8 c) 9 d) 20 Q9 A body moves under action of a force with an acceleration π = (ππ + π) m./ππππ and initial velocity 5 m./sec. if the action of the force is ceased after 3 seconds from the beginning of motion and the body remains to move with the acquires velocity, find the distance the body covers in the first 5 seconds from the beginning of motion a) b) c) d) Q10 If the given figure: it represents (square of the momentum – kinetic energy) graph of a body moving in a straight line, then the mass of the body =…….…..ππ a) ππ b) ππ c) ππ d) π Q11 A particle moves in a straight line such that its position vector π meter is given as a function in time t sec. by the relation π = π π πΖΈ + π ππ πΖΈ then at π = π sec. the velocity vector π makes an angle π½ with πΖΈ where π½=… π a) πππ−π ( ) π b) πππ−π (π) π π c) πππ−π ( ) d) πππ−π (π) Q12 When a body of constant mass fell down from a certain height on a horizontal ground, then the impulsive force generated at the moment of contact F ∝…. (t is the contact time). a) π π π c) π b) t d) π ππ Q13 A bullet is fired horizontally with speed 200 m/sec. at a vertical fixed barrier of thickness 32 cm. it penetrates the barrier and lose bullet = ……………. gm. a) π a) ππ π π of its speed. If the barrier resistance = 900 N , then the mass of the c) ππ a) ππ −πππ ∴π= = π. πππ ππ = ππ ππ −πππππ Q14 π A smooth ball of mass ππ moves with speed π . It collided with another smooth ball of mass π ππ at π rest, if the first ball rebounded after collision with speed equals quarter of its speed before collision and the second ball gained a kinetic energy of magnitude πππ ππππππ, then the speed of the first ball directly after collision =……….π/πππ a) ππ b) ππ c) ππ d) π. π Q15 If the power of a machine at any time π πππ equals (πππ + ππ) watt and the work done during the 5th second equals ππ ππππππ, then the work done during the first four seconds equals……….joule. a) ππ b) ππ c) ππ d) ππ Q16 In the opposite figure: The (force - time) graph for a body moves in a straight line under the action of a force F (Newton). If the impulse of this force during the first four seconds equals its impulse during the time interval[π, π] , then a = ..... a) 8.5 b) 8.3 c) 8.6 d) 8.4 Q17 In the opposite figure, two masses of ππ ππ, ππ ππ connected by the two ends of a light string passing over a smooth small pulley fixed at the top of two smooth opposite planes inclined at ππ° and ππ° to horizontal respectively, then the system…….. a) Moves in direction of mass ππ ππ. Downwards with acceleration . b) Moves in direction of mass 3π ππ. Downwards with acceleration c) Moves in direction of mass 4π ππ. Downwards with uniform vecloity d) at rest Q18 A body moves in a straight line under the action of a force π (ππππππ) is given as a function in time (πππ) by the relation π = ππ βΆ π ∈ β+ and its displacement π (πππππ) is given as a function in time π (πππ) by the relation π = ππ , where the force acts in the same direction of the displacement, if the work done during the time interval π, π equals ππ πππππ, then π =…….. a) π b) π c) π d) π Q19 A sphere of mass 500 gm. fells from a height of 2.5 m. to a liquid and it is embedded in it and stopped after one second from the moment it penetrates the liquid. Given that the magnitude of the impulse of the liquid to the sphere is 1.5 newton. sec. Find the liquid resistance to the motion of the sphere. Q20 π The mass of a cyclist and the bike together is 80 kg, and the greatest power to the cyclist is of a horse. If π the maximum velocity for this cyclist on horizontal road is 18 km/h. calculate the road resistance in kg.wt. If given that the cyclist ascends a slope inclined road with the π same resistance inclines at an angle of sine to the horizontal with maximum velocity, calculate this ππ velocity in km/h.
