Response:
0.9 cm
Clarification:
The following illustrates the calculation of the combined rod's length increase:
As established
Length increase = expansion of aluminum rod + expansion of steel rod

= 0.9 cm
We simply summed the expansions of both the aluminum and steel rods to determine the overall increase in the joined rod's length, which must be factored in
Answer:
Explanation:
Amount of gold deposited = 0.5 g
Gold's molar mass = 197 g/mol
Time duration, t = 6 hours
= 6 × 3600
= 12600 s
Calculation of moles: mass/molar mass
= 0.5/197
= 0.00254 mole
Assuming
Au --> Au+ + e-
Faraday's constant = 9.65 x 10^4 C mol-1
Charge, Q = 96500 × 0.00254
= 244.924 C
Relation: Q = I × t
Thus, I = 244.924/12600
= 0.011 A
= 11.34 mA.
Response:
C. vx
F. ax
G. ay
Clarification:
The projectile follows a curved trajectory toward the ground, causing changes in x and y positions.
Since there is no external force acting in the x-direction, the acceleration in x remains at zero. Consequently, ax and vx remain unchanged.
The projectile is subject to the force of gravity, directed downwards, leading to an increase in its velocity due to the rise in its y-component.
Meanwhile, the y-component of acceleration remains constant due to gravitational acceleration.
The rocket's acceleration is described here as

now recognizing that

we integrate both sides



given that the rocket is accelerating for a duration of t = 10 s
thus, we have


consequently, after t = 10 s, the rocket will achieve a speed of 130 m/s in an upward direction
Answer:
Power output, P = 924.15 watts
Explanation:
We have the following parameters:
Length of the ramp, l = 12 m
Weight of the individual, m = 55.8 kg
Incline angle with respect to the horizontal, 
Elapsed time, t = 3 s
Let h represent the vertical height of the hill:


h = 5.07 m
Power P required for a person to ascend the hill can be expressed as:



P = 924.15 watts
This indicates that a minimum average power output of 924.15 watts is essential for an individual to ascend this elevation. Thus, this is the answer sought.