P1V1/T1 = P2V2/T2
(1.6atm)(168cm^3)/(255K) = (1.3atm)V2/(285K)
Final volume = 231cm^3
In a parallel circuit, the equivalent resistance is the reciprocal of (the sum of the individual reciprocals).
1/R = 1/10 + 1/21 + 1/13
1/R = 0.225 mhos
R = 4.45 ohms
I = V / R
The total current out of the battery is
I = (9v)/(4.45ohms)
I = 2.02 Amperes
As the total current leaves the battery, it splits into 3 paths, and each resistor gets part of it. The 10ohm resistor gets the most current; the 21ohm resistor gets the least current. After flowing through the resistors, the 3 currents join and add up to 2.02 Amperes again, and the same current returns to the battery.
Each resistor has the same 9v of EMF across it.
1) First, let's calculate the value of deceleration a that the car can achieve, using the following relationship:

where S=67 m is the distance covered, vf=0 is the final velocity of the car, and vi=15 m/s is the initial velocity. From this we can find a:

2) Then, we can assume this is the value of acceleration that the car is able to reach. In fact, the force the brakes are able to apply is

This force will be constant, and since m is always the same, then a is the same even in the second situation.
3) Therefore, in the second situation we have a=-1.68 m/s^2. However, the initial velocity is different: vi=45 m/s. Using the same formula of point 1), we can calculate the distance covered by the car before stopping:

Answer:
(A) 3,449,600 N/m
(B) 62,720 poeple
Explanation:
extension of the sling shot (e) = 4 m
mass of projectile (m) = 440 g = 0.44 kg
speed of projectile (v) = 11.2 km/s = 11,200 m/s
average force a person can exert = 220 N
spring constant (k) = ?
(A) When all the elastic potential energy is converted to kinetic energy

rearranging the above equation
spring constant (K) = 
spring constant (K) = 
spring constant (K) = 
spring constant (K) = 3,449,600 N/m
(B) force required to stretch the slingshot (F) = ke = 3,449,600 x 4 = 13,798,400 N
number of people required = required force / average force per person = 13,798,400 / 220 =62,720 poeple
Answer:
Mass and Acceleration
Explanation:
The typical Force equation is:
F = ma
where m = mass, and a=acceleration.