PHYS 211 FNL Sample 1 1 A 0 60 kg rock is held against a spring with spring constant 250 0 N m so that the spring is compressed a distance 0 10 m The rock is released from rest and then slides up a length l on a ramp which makes an angle of 20 with the horizontal before it momentarily comes to rest If both the horizontal surface and ramp are frictionless what is the distance l l A B C D E 0 62 m 0 21 m 6 2 m 0 73 m 0 07 m 2 A powerful slingshot has an elastic band that is pulled back until a maximum spring force of Fmax is encountered maximum force the person can exert A projectile of mass M is released from rest Which of the following strategies could be applied to ensure the maximum projectile speed leaving the slingshot Assume the same person is using the slingshot i e same Fmax A B C D E Replace the projectile with one of smaller density but equal mass Replace the projectile with one of greater mass Replace the elastic band with a stiffer one higher spring constant k None of the above strategies Replace the elastic band with a softer one lower spring constant k Page 1 PHYS 211 FNL Sample 1 3 An object of mass 4 kg moves under the influence of a conservative force with an associated potential energy U x x2 with U expressed in J if x is in m as given in the figure If the object is released from rest at a position of x 3 m how fast is it moving at the x 1 m position A B C D E 0 43 m s 1 58 m s 3 0 m s 2 0 m s 0 m s 4 A cannon launches a ball horizontally off the edge of a cliff of height 10 meters and it lands a horizontal distance of 200 meters from the base of the cliff With what initial speed did the cannon fire the ball A B C D E 163 m s 140 m s 133 m s 196 m s 147 m s Page 2 PHYS 211 FNL Sample 1 5 A one dimensional longitudinal wave traveling along a string is described by the following equation s z t 0 2 m sin z 10 t where all distances are measured in meters and time in seconds Which of the following statements is incorrect A B C D E The wavelength of the wave is 2m The frequency of the wave is 10 Hz The amplitude of the wave is 0 2 m The wave has a speed of 10 m s The wave travels in the z direction 6 A mass m on a frictionless ramp of angle is attached to a spring of spring constant k that is mounted to the top of the ramp as indicated in the figure The mass is released from rest at the top of the ramp with the spring in its equilibrium relaxed position What is the maximum extension of the spring A B C D E 2mg sin k 2mg k cos 2mg cos k mg sin k mg cos k Page 3 PHYS 211 FNL Sample 1 7 Two rods are connected to make the shape shown below Each rod is uniform but the diagonal rod has twice the mass as the horizontal rod The horizontal rod has a length L What is the position x y of the center of mass of the two rods A B C D E L L 2 L 2 L 2 L 2L 3 L 2 L 4 L 2 L 3 8 A toy crane lifts a block of wood from the ground with increasing vertical velocity During the first 20 cm of the lift what can we say about Wgrav the work done by gravity on the block and Wcrane the work done by the crane on the block A B C D E Wgrav 0 Wcrane 0 Wgrav Wcrane 0 Wgrav 0 Wcrane 0 Wgrav Wcrane 0 Wgrav 0 Wcrane 0 Wgrav Wcrane 0 Wgrav 0 Wcrane 0 Wgrav Wcrane 0 Wgrav 0 Wcrane 0 Wgrav Wcrane 0 Page 4 PHYS 211 FNL Sample 1 Updated 9 9 In deep space far from any gravitational influences a 4 00 kg space harpoon is launched using a large slingshot of spring constant 16 0 N m by pulling back on the slingshot string through a distance of 1 00 m The harpoonist is y 6 00 m away from a bulls eye painted on a space station the harpoon misses its intended target If the harpoon hits the space station hull a distance x 3 00 m of the target as shown below what is the magnitude of the angular momentum of the projectile with respect to the target Hint After launch the angular momentum of the harpoon is the same no matter what time it is calculated at A B C D E 21 5 kg m2 s 48 0 kg m2 s 24 0 kg m2 s 42 9 kg m2 s 0 kg m2 s Page 5 PHYS 211 FNL Sample 1 9 In deep space far from any gravitational influences a 4 kg space harpoon is launched using a large slingshot of spring constant 16 N m by pulling back on the slingshot string through a distance of 2 625 m The harpoon misses its intended target passing within 2 m of the target In units of kg m2 s what is the magnitude of the angular momentum of the projectile with respect to the target A B C D E 42 28 72 0 16 original version of 9 do not use 10 The first graph below shows the potential energy U x for a particle moving along the x axis Which of the following five graphs correctly gives the force F x exerted on the particle A B C D E I II III IV V Page 5 PHYS 211 FNL Sample 1 11 A piston in an engine executes simple harmonic motion If the extremes of its displacement away from its center point are 5 00 cm find the maximum velocity of the piston when the engine is running at 3600 rev min A B C D E 9 32 m s 18 8 m s 11 3 m s 7 14 m s 14 2 m s 12 A spring with negligible mass stretches by 21 0 cm when a 135 N object is attached What is the weight of a fish that would stretch the spring by 31 cm A B C D E 145 N 279 N 199 N 91 0 N 597 N 13 A man holding a weight in each hand stands at the center of a horizontal frictionless rotating turntable The effect of the weights is to double the rotational inertia of the system As he is rotating the man opens his hands and drops the two weights They fall outside the turntable Then A B C …