An object of mass m is suspended from the top of a cart by a string of length L as in Figure P5.88a. The cart and object are initially moving to the right at a constant speed υ 0 . The cart comes to rest after colliding and sticking to a bumper, as in Figure P5.88b, and the suspended object swings through an angle θ . (a) Show that the initial speed is υ 0 = 2 g L ( 1 − cos θ ) . (b) If L = 1.20 m and θ = 35.0°, find the initial speed of the cart ( Hint: The force exerted by the string on the object docs no work on the object.) Figure P5.88a
An object of mass m is suspended from the top of a cart by a string of length L as in Figure P5.88a. The cart and object are initially moving to the right at a constant speed υ 0 . The cart comes to rest after colliding and sticking to a bumper, as in Figure P5.88b, and the suspended object swings through an angle θ . (a) Show that the initial speed is υ 0 = 2 g L ( 1 − cos θ ) . (b) If L = 1.20 m and θ = 35.0°, find the initial speed of the cart ( Hint: The force exerted by the string on the object docs no work on the object.) Figure P5.88a
Solution Summary: The author explains that the initial speed of the string is v_0=sqrt2gL(1-mathrmcostheta
An object of mass m is suspended from the top of a cart by a string of length L as in Figure P5.88a. The cart and object are initially moving to the right at a constant speed υ0. The cart comes to rest after colliding and sticking to a bumper, as in Figure P5.88b, and the suspended object swings through an angle θ. (a) Show that the initial speed is
υ
0
=
2
g
L
(
1
−
cos
θ
)
. (b) If L = 1.20 m and θ = 35.0°, find the initial speed of the cart (Hint: The force exerted by the string on the object docs no work on the object.)
How can you tell which vowel is being produced here ( “ee,” “ah,” or “oo”)? Also, how would you be able to tell for the other vowels?
You want to fabricate a soft microfluidic chip like the one below. How would you go about
fabricating this chip knowing that you are targeting a channel with a square cross-sectional
profile of 200 μm by 200 μm. What materials and steps would you use and why? Disregard the
process to form the inlet and outlet.
Square Cross Section
1. What are the key steps involved in the fabrication of a semiconductor device.
2. You are hired by a chip manufacturing company, and you are asked to prepare a silicon wafer
with the pattern below. Describe the process you would use.
High Aspect
Ratio
Trenches
Undoped Si Wafer
P-doped Si
3. You would like to deposit material within a high aspect ratio trench. What approach would you
use and why?
4. A person is setting up a small clean room space to carry out an outreach activity to educate high
school students about patterning using photolithography. They obtained a positive photoresist, a
used spin coater, a high energy light lamp for exposure and ordered a plastic transparency mask
with a pattern on it to reduce cost. Upon trying this set up multiple times they find that the full
resist gets developed, and they are unable to transfer the pattern onto the resist. Help them
troubleshoot and find out why pattern of transfer has not been successful.
5. You are given a composite…
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