Physics Dimensions Level: Misc Level

You are told that the volume of an object of unknown shape is given by , where V is the volume and d is the diameter of the sphere.Is this equation dimensionally correct?

(Use SI unit analysis to find out)

Physics Dimensions Level: Misc Level

A baseball player hits a triple and ends up on a third base. A baseball"diamond"is a square, each side of length 27.4 m, with home plate and the three bases on the four corners. What is the magnitude of his displacement?

Physics Dimensions Level: University

Circular MotionThe second on a watch has a length of 4.5 mm and completes one revolution in 60.00 s. What is the speed of the end of the second hand as it moves in uniform circular motion?

Physics Dimensions Level: University

Motion in one DimensionA tennis ball is shot vertically upward from the surface of an atmosphere-free planet with an initial speed of 20.0 m/s. One second later the ball has an instantaneous velocity in the upward direction of 15.0 m/s. What is the magnitude of the acceleration due to gravity on the surface of this planet?

a. 5.0 m/s2

b. 9.8 m/s2

c. 12 m/s2

d. 15m/s2

e. 24 m/s2

Physics Dimensions Level: University

Motion in one DimensionStarting from rest a particle which is confined to move along a straight line is accelerated at a rate of 5.0 m/s2. Which statement concerning the slope of the position versus time graph for this particle is true?

a. The slope has a constant value of 5.0 m/s.

b. The slope has a constant value of 5.0 m/s2.

c. The slope is both constant and negative.

d. The slope is not constant and increases with increasing time

e. The slope is not constant and decreases with increasing time

Physics Dimensions Level: University

Motion in one dimensionBall A is dropped from rest from a window. At the same instant, ball B is thrown downward and ball C is thrown upward from the same window. Which statement concerning the balls is necessarily true if air resistance is neglected?

a. At some instant after it is thrown the acceleration of ball C is zero.

b. All three balls strike the ground at the same time.

c. All three balls have the same velocity at any instant.

d. All three balls have the same acceleration at any instant.

e. All three balls reach the ground with the same velocity

Physics Dimensions Level: University

Motion in one DimensionWhich one of the following situations is not possible?

a. A body has zero velocity and non-zero acceleration.

b. A body travels with a northward velocity and a northward acceleration.

c. A body travels with a northward velocity and a southward acceleration.

d. A body travels with a constant velocity and a time- varying acceleration.

e. A body travels with a constant acceleration and a time- varying velocity.

Physics Dimensions Level: University

Equation of MotionAn elevator is moving upward with a speed of 11 m/s. Three seconds later the elevator is still moving upward but its speed has been reduced to 5.0 m/s. What is the average acceleration of the elevator during the 3.0 s interval?

a. 2.0 m/ s2 downward

b. 2.0 m/s2 upward

c. 5.3 m/s2 downward

d. 5.3 m/ s2 upward

e. 2.7 m/ s2 downward

Physics Dimensions Level: University

A racecar traveling at constant speed makes one lap around a circular track of radius r in a time t [ NOTE: the circumference of a circle is given by C = 2 pai r]. Determine the magnitude of the average velocity of the car one complete lap.a. r/t

b. 2r/t

c. pai / t

d. 2 pai r / t

e. zero m / s

Physics Dimensions Level: University

One DimensionFor which one of the following situations will the path length equal the magnitude of the displacement?

a. A jogger is running around a circular path.

b. A ball is rolling down an inclined plane.

c. A train travels 5 miles east and then it stops and travels 2 miles west.

d. ball rises and falls after being thrown up from the earth s surface.

e. A ball on the end of a string is moving in a vertical circle.

Physics Dimensions Level: High School

Plankâ€™s constant ,denoted by h (used in the quantum theory of radiation) is measured in joule-seconds in the mks system . From this we can determine that plankâ€™s constant is dimensionally equal to :a) [ML2 T-3]

b) [L2T â€“ 2]

c) [MLT â€“ 1]

d) [ML2T â€“ 1]

Physics Dimensions Level: High School

. s is a distance with unit (L) , t is a time with unit (T)and theta is an angle in radians what is the required dimension for the quantity C5 in the expression theta symbol = s/C5 (ors over C5) ?Physics Dimensions Level: High School

s is a distance with unit (L) , t is a time with unit (T)and theta is an angle in radians What is the required dimension for the quantity C4 in the expression s = C3 cos (C4 t) ?Physics Dimensions Level: High School

s is a distance with unit (L) , t is a time with unit (T)and theta is an angle in radians What is the required dimension for the quantity C3 in the expression s = C3 cos (C4 t) ?