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1. (10pts) The speed v of an object is given by the equation v = At3...
F (10pts) An object with a mass of 0.25 kg has an initial speed of v=-3...
F (10pts) An object with a mass of 0.25 kg has an initial speed of v=-3 m/s. Two different forces are applied to the mass at different times as recorded in the plot. What will be the final velocity, Vi, of the mass after the 5 seconds? t(s) 1 2 3 4 5
Show that the expression v = at, where v represents speed, a acceleration, and t an...
Show that the expression v = at, where v represents speed, a acceleration, and t an instant of time, is dimensionally correct. Dimensions and Units of Four Derived Quantities Quantity Area Volume Speed Acceleration Dimensions L2 L3 UT LT2 SI units m2 m m/s m/s2 U.S. customary units ft2 ft/s ft/s2 SOLUTION (Use the following as necessary: L and T.) Identify the dimensions of v from the table above: [v] - Identify the dimensions of a from the table above...
The position of an object is given by x-at3-e O-13 ms2 4.6 m/s2 13 m/s O2.9...
The position of an object is given by x-at3-e O-13 ms2 4.6 m/s2 13 m/s O2.9 m/s t, wherea-41 m/s3, -22m/s2, -17ms, and x and t are in SI units. What is the instantaneous acceleration of the object when t 0.7s
The velocity of a rocket in space is given by v(t) = A ln(1 + Bt)...
The velocity of a rocket in space is given by v(t) = A ln(1 + Bt) where A and B are e positive constants. What are the appropriate SI units for A and B? Find the equations for position and acceleration assuming the rocket starts at x = 0. Draw a sketch of v vs t, a vs t, and x vs t.
The position x, in meters, of an object is given by the equation x = A...
The position x, in meters, of an object is given by the equation x = A + Bt + Ct 2, where t represents time in seconds. What are the SI units of A, B, and C? A m, s, s B m, m/s, m/s2 C m, m, m D m/s, m/s2, m/s3 E m, s, s2
1.) The position of a softball thrown vertically upward is given by y = 7t –...
1.) The position of a softball thrown vertically upward is given by y = 7t – 4.9t2where y is in meters and t is in seconds. Find a) the initial speed of the ball at t=0, b) the velocity at t=1.26 s, and c) the acceleration of the ball. 2.) Starting from rest, an automatic subway train is controlled by a computer that causes it’s motion to follow the equation x = At3 for the first five seconds where x...
please show work. Part C Find the dimensions [v] of speed. Express your answer as powers...
please show work.
Part C Find the dimensions [v] of speed. Express your answer as powers of length (/), mass (m), and time t View Available Hint(s) 11에 Submit There are three dimensions used in mechanics: length (), mass (m), and time (t). A combination of these three dimensions suffices to express any physical quantity, because when a new physical quantity is needed (e.g., velocity), it always obeys an equation that permits it to be expressed in terms of the...
Use dimension m→[M] x→[L] for the variables in the following questions) 1. If a variable K...
Use dimension m→[M] x→[L] for the variables in the following questions) 1. If a variable K has dimensions 17] v→ a→ MIUY, what should be dimension of k in the equation K - Amv 2. What should be the dimensions of C, and C2 in the expression v Ce? 3. What should be the dimensions of , Aand A, in the expression r AA, sin (o)? 4. The distance d that a particle moves may be calculated from the expression...
3.) If you were somehow able to stand on the surface of a neutron star, you...
3.) If you were somehow able to stand on the surface of a neutron star, you would experience acceleration due to gravity of about 1.3 x 10^12 m/sec^2. [If you dropped a ball while standing there, the ball would quickly approach the speed of light in less than one second!] What is the acceleration due to gravity on the surface of a neutron star in \english" units of miles/hr^2? Explicitly show how you converted the units. 4.) There are three...
1. You are given a formula Lt where L is the length of the object, t...
1. You are given a formula Lt where L is the length of the object, t is the elapsed time, and v is the object's velocity. You don't know what k represents. What are the SI units of k? 2. The surface area of a certain object is 2 square feet. What is the object's surface area in SI units? The only conversion factor you are allowed to use is 1 inch 2.54 cm
F (10pts) An object with a mass of 0.25 kg has an initial speed of v=-3 m/s. Two different forces are applied to the mass at different times as recorded in the plot. What will be the final velocity, Vi, of the mass after the 5 seconds? t(s) 1 2 3 4 5
Show that the expression v = at, where v represents speed, a acceleration, and t an instant of time, is dimensionally correct. Dimensions and Units of Four Derived Quantities Quantity Area Volume Speed Acceleration Dimensions L2 L3 UT LT2 SI units m2 m m/s m/s2 U.S. customary units ft2 ft/s ft/s2 SOLUTION (Use the following as necessary: L and T.) Identify the dimensions of v from the table above: [v] - Identify the dimensions of a from the table above...
The position of an object is given by x-at3-e O-13 ms2 4.6 m/s2 13 m/s O2.9 m/s t, wherea-41 m/s3, -22m/s2, -17ms, and x and t are in SI units. What is the instantaneous acceleration of the object when t 0.7s
The velocity of a rocket in space is given by v(t) = A ln(1 + Bt) where A and B are e positive constants. What are the appropriate SI units for A and B? Find the equations for position and acceleration assuming the rocket starts at x = 0. Draw a sketch of v vs t, a vs t, and x vs t.
please show work.
Part C Find the dimensions [v] of speed. Express your answer as powers of length (/), mass (m), and time t View Available Hint(s) 11에 Submit There are three dimensions used in mechanics: length (), mass (m), and time (t). A combination of these three dimensions suffices to express any physical quantity, because when a new physical quantity is needed (e.g., velocity), it always obeys an equation that permits it to be expressed in terms of the...
Use dimension m→[M] x→[L] for the variables in the following questions) 1. If a variable K has dimensions 17] v→ a→ MIUY, what should be dimension of k in the equation K - Amv 2. What should be the dimensions of C, and C2 in the expression v Ce? 3. What should be the dimensions of , Aand A, in the expression r AA, sin (o)? 4. The distance d that a particle moves may be calculated from the expression...
1. You are given a formula Lt where L is the length of the object, t is the elapsed time, and v is the object's velocity. You don't know what k represents. What are the SI units of k? 2. The surface area of a certain object is 2 square feet. What is the object's surface area in SI units? The only conversion factor you are allowed to use is 1 inch 2.54 cm
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