College Physics Final Exam

A 50.0 kg boy runs at a speed of 10.0 m/s and jumps onto a cart. The cart is initially at rest. If the speed of the cart with the boy on it is 2.50 m/s, what is the mass of the cart? A) 150 kg B) 175 kg C) 210 kg D) 260 kg E) 300 kg

A) 150 kg

A shell is fired with a horizontal velocity in the positive x direction from the top of an 80m high cliff. The shell strikes the ground 1330 m from the base of the cliff. What is the acceleration of the shell just before it strikes the ground? A) 4.0 m/s^2 B) 9.8 m/s^2 C) 82 m/s^2 D) 170 m/s^2 E) 330 m/s^2

B) 9.8 m/s^2

A net force of 25 N is applied for 5.7 s to a 12 kg box initially at rest. What is the speed of the box at the end of the 5.7 s interval? A) 1.8 m/s B) 12 m/s C) 3.0 m/s D) 7.5 m/s E) 30 m/s

B) 12 m/s

The mathematical relationship between three physical properties is given by a=b^2/c. If the dimension of b is [L]/[T], and the dimension of c is [L]. Which of the following is the dimension of a? A) [L] B) [L]/[T]^2 C) [L]/[T] D) [T] E) [L]^2/[T]^2

B) [L]/[T]^2

A ball is shot straight up in the air from the surface of the earth with an initial speed of 19.6 m/s. What max height will the ball reach? A) 9.80 m B) 14.7 m C) 19.6 m D) 24.5 m E) 58.8 m

C) 19.6 m

Determine the minimum angle at which a roadbed should be banked so that a car traveling at 20.0 m/s can safely negotiate the curve if the radius of the curve is 2.00 X 10^2 m A) .200 degrees B) .581 degrees C) 11.5 degrees D) 19.6 degrees E) 78.2 degrees

C) 11.5 degrees

Justine and her friends exit the physics classroom and walk 0.70 km to their math class. While walking, Justine's average step length is 58 cm. Approximately, how many steps does she take in walking between these two classes? A) 310 B) 720 C) 1200 D) 3100 E) 7200

C) 1200

Ryan throws a tennis ball vertically upward. The ball returns to the point of release after 3.5 s. What is the speed of the ball as it is released? A) 0 m/s B) 14 m/s C) 17 m/s D) 21 m/s E) 34 m/s

C) 17 m/s

A 70.0 kg astronaut pushes the the left on a spacecraft with a force F in "gravity free" space. The spacecraft has a total mass of 1.0 X 10^4 kg. During the push, the astronaut accelerates to the right with an acceleration of 0.36 m/s^2. Determine the magnitude of the acceleration of the spacecraft. A) 51. 4 m/s^2 B) 0.36 m/s^2 C) 2.5 X 10^-3 m/s^2 D) 7.0 X 10^-3 m/s^2 E) 3.97 X10^-4 m/s^2

C) 2.5 X 10^-3

A physics student standing on the edge of a cliff throws a stone vertically downward with an initial speed of 10 m/s. The instant before the stone hits the ground below, it is traveling at a speed of 30.0 m/s. If the physics student were to throw the rock horizontally outward from the cliff instead, with the same initial speed, what is the magnitude of the velocity of the stone just before it hits the ground? A) 10 m/s B) 20 m/s C) 30 m/s D) 40 m/s E) the height of the cliff is needed to answer the question

C) 30 m/s

A muscle builder holds the end of a massless rope. At the center of the rope, a 7.9 kg ball is hanging. If the angles made by the the muscle builder's arms are both 6 degrees, what is the tension in the rope? A) 960 N B) 740 N C) 370 N D) 230 N E) 150 N

C) 370 N

A 51 kg woman runs up a flight of stairs in 5 s. Her net upward displacement is 5 m. Approximately, what average power did the woman exert while running? A) 5 W B) 1 kW C) 0.75 kW D) 0.50 kW E) 0.25 kW

D) 0.50 kW

A physics student shoves a 0.50 kg block from the bottom of a frictionless 30.0 degree inclined plane. The student performs 4.0 J of work and the block slides a distance (s) along the incline before it stops. Determine value of s A) 8.0 cm B) 16 cm D) 160 cm E) 330 cm

D) 160 cm

A 2400 kg satellite is in a circular orbit around a planet. The satellite travels with a constant speed of 6670 m/s. The radius of the circular orbit is 8.92x10^6. What is the acceleration of the satellite? A) 2.5 m/s^2 B) 21 m/s^2 C) 9.8 m/s^2 D) 5.0 m/s^2 E) 0 m/s^2

D) 5.0 m/s^2

A projectile fired from a gun has initial horizontal and vertical components of velocity equal to 30 m/s and 40 m/s. At what angle is the projectile fired? A) 37 B) 40 C) 45 D) 53 E) 60

D) 53

Use the component method of vector addition to find the resultant of the following three vectors: A=56 km, east B=11 km, 22 degrees SoE C=88 km, 44 WoS A) 81 km, 14 WoS B) 97 km, 62 SoE C) 52 km, 66 SoE D) 68 km, 86 SoE E) 66 km, 7.1 WoS

D) 68 km, 86 degrees SoE

which of the following situations is not possible? A) a body has zero velocity and non-zero acceleration B) a body travels with northward velocity and northward acceleration C) a body travels with northward velocity and southward acceleration D) a body travels with constant velocity and time-varying acceleration E) a body travels with a constant acceleration and a time-varying velocity

D) a body travels with constant velocity and time-varying acceleration

The minimum takeoff speed for a certain airplane is 75 m/s. What minimum acceleration is required if the plane must leave a runway of length 1050 m? Assume plane starts at rest. A) 1.5 m/s^2 B) 3.0 m/s^2 C) 4.5 m/s^2 D) 6.0 m/s^2 E) 2.7 m/s^2

E) 2.7 m/s^2

A 1.0 kg ball has a velocity of 12 m/s downward just before it strikes the ground and bounces up with a velocity of 12 m/s upward. What is the change in momentum of the ball? A) 0 kg x m/s B) 12 kg x m/s, downward C) 12 kg x m/s upward D) 24 kg x m/s downward E) 24 kg x m/s upward

E) 24 kg x m/s upward

A system of two cables supports a 150 N ball. the left hand cable is parallel to the x-axis and the right hand cable is 30 degrees above the x-axis. What is the tension in the right-hand cable? A) 87 N B) 150 N C)170 N D) 260 N E) 300 N

E) 300 N

A spaceship is observed traveling in the positive x direction with a speed of 150 m/s when it begins accelerating at a constant rate. The spaceship is observed 25 s later traveling with an instantaneous velocity of 1500 m/s at an angle of 55 degrees above the x axis. What was the magnitude of the acceleration of the spaceship during the 25 seconds? A) 1.5 m/s^2 B) 7.3 m/s^2 C) 28 m/s^2 D) 48 m/s^2 E) 57 m/s^2

E) 57 ms/^2

Three sticks are arranged to form a right triangle. If the length of the three sticks are 0.47 m, 0.062 m, 0.78 m, what are the three angled of the triangle? A) 90, 45, 45 B) 90, 62, 28 C) 90, 59, 31 D) 90, 45, 42 E) 90, 53, 37

E) 90, 53, 37