There is no SI base unit for “area” because:

A car travels in a flat circle of radius R. At a certain instant the velocity of the car is 24 ms west, and the total acceleration of the car is 2.5 ms 57° north of west. Which of the following is correct?

Four vectors ( A → ,   B → ,   C → ,   D → ) all have the same magnitude. The angle θ between adjacent vectors is 45 ° as shown. The correct vector equation is: q4_phys2425_f2024.jpg

Which of the following has the same dimensions as 12mv2?Note: a=g=LT2; h=L and v=LT-1.

A runner traveling with a speed 6.00 ms is trailing the leader running with a speed 9.00 ms in a Marathon race by 3.00×102 m with a flat, straight 1.00×103 m distance between the leader and the finish line. If the leader is able to increase her speed with an acceleration 0.00500 ms2, (a) how much time does it take for the leader to reach the finish line, and (b) what is the minimum acceleration for the trailed runner to catch up with the leader, assuming a constant acceleration? If the trailed runner increases her speed with an acceleration 0.00500 ms2 when she is trailing 3.00×102 m with a flat, straight 1.00×103 m distance between the leader and the finish line, (c) how much time does it take the trailed runner to reach the finish line, and (d) what is the maximum deceleration of the leader in order for her to maintaining the leading position? If the leader is exhausted and decreases her speed with a deceleration 0.00500 ms2 when she is 1.00×103 m from the finish line, (e) what is the distance from the finish line when the trailed runner catch up with the leader if the trailed runner runs with the acceleration determined in (b)?

A train travels due east at 39.0 ms (relative to the ground) in a rain. Considering that the raindrops of speed 25.0 ms relative to the ground are blown toward the west by the wind and the path of each raindrop makes an 30.0° angle with the vertical, as measured by an observer stationary on the ground, (a) what are the magnitude and direction of the raindrops relative to the observer on the train? Sometime later, the train continues to travel due east at 39.0 ms but the rain is blown toward the east by the wind and the path of each raindrop makes an angle of 40.0° with the vertical, as measured by an observer stationary on the ground. (b) If an observer on the train sees the drops fall perfectly vertically, what is the speed of the raindrops relative to the ground? (c) If an observer on the train sees the drop fall making an angle of 15.0° with the vertical due east, what is the speed of the raindrops relative to the ground?

A river has a steady speed of 0.30 ms. A student swims downstream a distance of 1200 m and returns to the starting point. If the students swims with respect to the water at a constant speed and the downstream portion of the swim requires 20. minutes, how much time is required for the entire swim?

Capacitors C1 and C2 are connected in parallel and a potential difference is applied to the combination. If the capacitor that is equivalent to the combination has the same potential difference, then the charge on the equivalent capacitor is the same as:

A positive point charge q is placed at the center of an uncharged metal sphere insulated from the ground. The outside of the sphere is then grounded as shown. Then the ground wire is removed. A is the inner surface and B is the outer surface. Which statement is correct? q6_phys2426_f2024.jpg

Two large, parallel metal plates, each of area A = 2 . 00   m 2 , are oriented horizontally and separated by a distance 3 d  with d = 2 . 00   c m , as shown in Fig. 2.1. If the charge on the upper plate is Q 1 = 0 . 0300   μ C  and the charge on the bottom plate is Q 2 = – 0 . 0700   μ C , what are the magnitudes and directions of the electric fields in the regions above the upper plate, between the two plates, and below the bottom plate? If a third identical plate carrying charge Q 3 = 0 . 0600   μ C  is inserted between the two plates, parallel to them and located a distance d  from the upper plate as shown in Fig. 2.2, (b) what are the magnitudes and directions of the electric fields in the regions above the upper plate, between the upper and middle plates, between the middle and bottom plates, and below the bottom plate? If an electron is released from the bottom plate with a speed v i = 2 . 00 × 10 6   m s moving upward, (c) what is its speed when it reaches the middle plate? If an electron is released from the upper plate with a speed  v i = 8 . 50 × 10 6   m s  moving downward, (d) what is its speed when it reaches the bottom plate? If a grounded conducting wire joins the upper and bottom plates, (e) what are the charges on the upper and bottom plates and (f) what potential difference appears between the middle plate and each of the other plates? (The charge of an electron is q e = – 1 . 60 × 10 – 19   C  and the mass of an electron is m e = 9 . 11 × 10 – 31   k g , ε 0 = 8 . 85 × 10 – 12   C 2 N · m 2 .) fig2_phys2426_f2024.jpg