Imagine a stationary rod of length l in reference frame ( with ends at 2A =...
6) (5 marks) Imagine a stationary rod of length l in reference frame ( with ends at 2A = 0 and xb = l. Show that the length contraction l'=lV1 – u2/c2 can be derived by calculating the time At an observer in O' measures for the rod to pass her origin and then multiplying by its speed, u.
6) (5 marks) Imagine a stationary rod of length I in reference frame O with ends at XA= l. Show that the length contraction ľ= (v1 – 22 / c2 0 and XB can be derived by calculating the time At an observer in O' measures for the rod to pass her origin and then multiplying by its speed, u.
6) (5 marks) Imagine a stationary rod of length l in reference frame o with ends at 2A = 0 and 2B = l. Show that the length contraction l'=1/1 - u2/e? can be derived by calculating the time At' an observer in O' measures for the rod to pass her origin and then multiplying by its speed, u.
3. (6 marks) A rod of length L'-4m is moving in frame y s S' with respect to a stationary observer in frame S. The rod makes an angle e' 60 to the direction of travel in the S' frame. What is the length and orientation of the rod as measured by a stationary observer in the S frame if the relative speed of the frames is อ' 0.5c as shown in the diagram.
A rod of length 2a is constrained to move with its ends on the perimeter of a circle of radius . This circle lies in the horizontal plane and is fixed. A small insect whose mass is equal to that of the rod moves along the rod, starting from its mid-point and maintaining a constant relative speed V, then show that in time t, the rod will turn through an angle 2 V3 We were unable to transcribe this image...
i need part B Problem Solving Strategy 37.2: Length Contraction Learning Goal IDENTIFY the relevant concepts The concept of length contraction is used whenever the length of an object measured by observers in different inertial frames of reference is compared To practice Problem-Solving Strategy 37.2 Length Contraction SET UP the problem using the following steps A support crossbeam on a high speed train is made from a titanium rod that has a length of 0.650 m when 1. Decide what...
1) Consider a pendulum of constant length L to which a bob of mass m is attached. The Q6. pendulum moves only in a two-dimensional plane (see figure below). The polar frame of reference attached to the bob is defined by er,ce where er is the unit vector orientecd away from the origin and e completes the direct orthonormal basis. The pendulum makes an angle 0(t) between the radial direction and the vertical direction e(t) The position vector beinge ind...
Question I need answered is bold faced here: Relativistic Mass Still standing in the same spaceship... With respect to an observer in a given frame of reference, how fast would the spaceship have to move in order for your [moving] mass to be double your resting mass? From your perspective, what will be your mass on board the spaceship? In the last two weeks we have investigated time, length, and mass at very high velocities. Identify the unifying physical principle...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...