Answer:
324 people
Explanation:
radius r = diameter / 2 = 45cm /2 = 22.5 cm or 0.225 m
We can calculate the total volume of the log by computing the volume of each cylindrical log:
So the total volume of all 12 logs is
The weight that the raft can support, is the buoyancy force subtracted by its own weight.
The buoyancy force is basically the weight of the water is displaced, which is water density times volume. The log weight is also log density times its volume
where 
are the density of water and raft, respectively. But since we have the specific gravity of wood is 0.6. That measn
Therefore 
Let g = 9.8m/s2. We can now calculate the force that the raft can support
Each person has a mass of 68kg, their weight would be
W = 68*g = 68*9.8 = 666.4N
So the maximum number of people that the raft can hold is
F / W = 216129.2 / 666.4 = 324 people
If there is no air resistance, the value would still be the same. So therefore, the answer is 39.7 N.
Supposing that there is an air resistance of 19.8 N.With a 19.8 N air resistance: ∑F = 39.7 N - 19.8 N = 19.9 N would be the net force. The important point here is that the force of gravity equivalent the weight of the object.
Using the velocity-time graph, the displacement can be calculated by the area under the velocity-time graph. At 3 seconds the total displacement is then equal to (4)(2) + (4 + 2)*1/2 = 11 m. Assuming that the starting point is at x = 0, then the particle at t=3s is at x=11 m.
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The kinetic energy of an object is given by
where m is the mass of the object and v its velocity.
For the car in the problem,
and
, so the kinetic energy of the car is
and as we can see, yes, the answer depends on the car's mass.
Answer:
The coupled velocity of both the blocks is 1.92 m/s.
Explanation:
Given that,
Mass of block A, 
Initial speed of block A, 
Mass of block B, 
Initial speed of block B, 
It is mentioned that if the two blocks couple together after collision. We need to find the common velocity immediately after collision. We know that due to coupling, it becomes the case of inelastic collision. Using the conservation of linear momentum. Let V is the coupled velocity of both the blocks. So,
So, the coupled velocity of both the blocks is 1.92 m/s. Hence, this is the required solution.
