Its like a suspended wood with a lead sphere attached to each of its ends
Answer:
<em>Both vehicles move east at 3.97 m/s</em>
Explanation:
<u>Law Of Conservation Of Linear Momentum
</u>
It states that the total momentum of a system of bodies is conserved unless an external force is applied to it. The formula for the momentum of a body with mass m and speed v is:
P=mv.
If we have a system of two bodies, then the total momentum is the sum of both momentums:

If a collision occurs and the velocities change to v', the final momentum is:

Since the total momentum is conserved, then:
P = P'

Assume both masses stick together after the collision at a common speed v', then:

The common velocity after this situation is:

Assuming east direction to be positive, we have an m1=1459 kg car traveling west at v1=-43 m/s. An m2=9755 kg truck is traveling east at v2=11 m/s. They collide head-on and stick together after that.
Computing the resultant velocity after the collision:


v' = 3.97 m/s
Both vehicles move east at 3.97 m/s
Answer:
(a) F = 320
(b) = F = -5.1625
Explanation:
The formula that converts degree Celsius (C) to degree Fahrenheit (F) is:
F = 1.8C + 32
Solving (a): F = 2C
Substitute 2C for F in the above equation
F = 1.8C + 32
2C = 1.8C + 32
Collect like terms
2C - 1.8C = 32
0.2C = 32
Multiply both sides by 5
5 * 0.2C = 32 * 5
C = 160
Recall that F = 2C
F = 2 * 160
F = 320
Solving (b): F = ¼C
Substitute ¼C for F in the above formula
F = 1.8C + 32
¼C = 1.8C + 32
Convert fraction to decimal
0.25C = 1.8C + 32
Collect like terms
0.25C - 1.8C = 32
-1.55C = 32
Divide both sides by -1.55
C = 32/(-1.55)
C = -32/1.55
C = -20.65
Recall that: F = ¼C
F = -¼ * 20.65
F = -5.1625
Answer:
the maximum mass suspended to the styrofoam sphere is m = 113.1 kg
Explanation:
The weight due to suspended mass is counterbalanced by the buoyancy force on the sphere
So here we will say

as we know that the maximum buoyancy force that will act on the styrofoam sphere is given as




now from above equation we have


so the maximum mass suspended to the styrofoam sphere is m = 113.1 kg