10 pointsl Find the gea wlti of te o i t0
10 pointsl Find the gea wlti of te o i t0
A block 10 kg, on top of a ramp, 8m high, slides down a ramp with x 0.2. The ramp is inclined at an angle 25 degrees. a. Draw the FBD of the system. b. Find the work done by friction. c. Find the final velocity of the block at the bottom of the ramp.
Find r'(t), r(t0), and r'(t0) for the given value of t0. Then sketch the space curve represented by the vector-valued function, and sketch the vectors r(t0) and r'(t0). r(t) = ti + t2j + 3/2K, t0 = 2
27.ssm A small spherical insulator of mass 8.00 x 10 2 kg and charge +0.600 /C is hung by a thread of negligible mass. A charge of-0.900 uC is held 0.150 m away from the sphere and directly to the right of it, so the thread makes an angle θ with the vertical (see the drawing). Find (a) the angle and (b) the tension in the thread +0.600 0 900 C
A worker releases boxes at the bottom of a ramp. From the bottom of the ramp the boxes slide 10 m across the floor to a barrier wall. If the ramp is at an elevation angle 0f 20 degrees, how long must the ramp be if the boxes are to reach the wall 2.0s after leaving the ramp? Ignore Friction.
A stuntman drives a cart off a 10 degree ramp at 25m/s. The end of the ramp is 4 meters off the ground. How far from the base of the ramp will the cart land?
95 [SSM As mentioned in the discussion of the law of atmospheres, the fractional decrease in atmospheric pressure is proportional to the change in altitude. Expressed as a differ- ential equation we have dP/P -C/dh, where C is a con- stant. (a) Show that P(h) -Poe-Ch is a solution of the differential equation. (b) Show that if Ah << ho where ho - 1 /C, then Ph + ΔΑ) ~P(h)(1-ΔΙ/ho). (c) Given that the pres- sure at h-5.5 km is...
5.(20 pts) Starting with an empty tree T0, show the set of BSTs T0⇒T1⇒T2⇒... ⇒T6resulting from performing the following sequenceof operations (in that order): Insert(5), Insert(10), Insert(2), Insert(7), Insert(6), Remove(5).
66 SSM] When a material is stretched in one direction, if its density remains constant, then (because its total volume the other directions. Take a rectangular block of length x, width y, and depth z, and pull on it so that its new length x" x + ΔΧ. If Δχ << x and Δ.y/y-Ás/z, show that
The Following source code has a stalling problem: lw $st3, 4($t0) lw $st4, 8($t0) sub $s1, $st3, $st4 sw $s1, 12($t0) lw $t5,16($t0) add $s2, $t3,$t5 sw $s2,20($t0) Rearrange the code sequence that does exactly the same job without stalling: